About the Execution of ITS-Tools for DLCround-PT-07b
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
15753.670 | 3600000.00 | 8350399.00 | 9645.00 | [undef] | Time out reached |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Waiting for the VM to be ready (probing ssh)
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
/home/mcc/execution
total 1.2M
-rw-r--r-- 1 mcc users 3.2K May 15 18:54 CTLCardinality.txt
-rw-r--r-- 1 mcc users 18K May 15 18:54 CTLCardinality.xml
-rw-r--r-- 1 mcc users 2.5K May 15 18:54 CTLFireability.txt
-rw-r--r-- 1 mcc users 17K May 15 18:54 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.0K May 15 18:50 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 5.9K May 15 18:50 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 2.4K May 15 18:54 LTLCardinality.txt
-rw-r--r-- 1 mcc users 11K May 15 18:54 LTLCardinality.xml
-rw-r--r-- 1 mcc users 1.9K May 15 18:54 LTLFireability.txt
-rw-r--r-- 1 mcc users 9.1K May 15 18:54 LTLFireability.xml
-rw-r--r-- 1 mcc users 4.0K May 15 18:54 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 21K May 15 18:54 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 106 May 15 18:54 ReachabilityDeadlock.txt
-rw-r--r-- 1 mcc users 344 May 15 18:54 ReachabilityDeadlock.xml
-rw-r--r-- 1 mcc users 2.6K May 15 18:54 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 15K May 15 18:54 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.6K May 15 18:54 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.6K May 15 18:54 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 May 15 18:50 equiv_col
-rw-r--r-- 1 mcc users 4 May 15 18:50 instance
-rw-r--r-- 1 mcc users 6 May 15 18:50 iscolored
-rw-r--r-- 1 mcc users 963K May 15 18:50 model.pnml
=====================================================================
Generated by BenchKit 2-3637
Executing tool itstools
Input is DLCround-PT-07b, examination is ReachabilityFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r068-smll-152649741100070
=====================================================================
--------------------
content from stdout:
=== Data for post analysis generated by BenchKit (invocation template)
The expected result is a vector of booleans
BOOL_VECTOR
here is the order used to build the result vector(from text file)
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-00
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-01
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-02
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-03
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-04
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-05
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-06
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-07
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-08
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-09
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-10
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-11
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-12
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-13
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-14
FORMULA_NAME DLCround-PT-07b-ReachabilityFireability-15
=== Now, execution of the tool begins
BK_START 1526673345295
Using solver Z3 to compute partial order matrices.
Built C files in :
/home/mcc/execution
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit//lts_install_dir//include, -I., -std=c99, -fPIC, -O3, model.c], workingDir=/home/mcc/execution]
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201805151631/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /home/mcc/execution/ReachabilityFireability.pnml.gal, -t, CGAL, -reachable-file, ReachabilityFireability.prop, --nowitness], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201805151631/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /home/mcc/execution/ReachabilityFireability.pnml.gal -t CGAL -reachable-file ReachabilityFireability.prop --nowitness
Loading property file ReachabilityFireability.prop.
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-00 with value :((u20.p907>=1)&&(u238.p2459>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-01 with value :((u23.p1304>=1)&&(u258.p2659>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-02 with value :((((!((u19.p876>=1)&&(u252.p2596>=1)))||(!(u185.p1927>=1)))&&(!((u233.p2411>=1)&&(u19.p796>=1))))&&(u317.p1460>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-03 with value :((u16.p474>=1)&&(u211.p2189>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-04 with value :(u18.p781>=1)
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-05 with value :((u235.p2432>=1)&&(!(u18.p695>=1)))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-06 with value :(((u155.p1630>=1)||(u158.p1657>=1))&&(((!((u21.p1054>=1)&&(u243.p2509>=1)))||((u154.p1614>=1)||((u20.p944>=1)&&(u239.p2469>=1))))&&(u18.p741>=1)))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-07 with value :(u22.p1197>=1)
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-08 with value :((u23.p1295>=1)||((((u19.p800>=1)&&(u149.p1570>=1))&&((u20.p917>=1)||(u250.p2580>=1)))&&((!(u259.p2668>=1))||(u17.p573>=1))))
Read [invariant] property : DLCround-PT-07b-ReachabilityFireability-09 with value :(((!((u22.p1168>=1)&&(u247.p2546>=1)))||(u235.p2423>=1))||((!(u17.p615>=1))||((u23.p1322>=1)||(((u21.p1097>=1)&&(u247.p2549>=1))&&((u17.p611>=1)&&(u156.p1639>=1))))))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-10 with value :((((!(u23.p1329>=1))&&(((u23.p1288>=1)&&(u220.p2276>=1))||(u23.p1324>=1)))&&(!(((u21.p1080>=1)&&(u247.p2549>=1))||(u214.p2220>=1))))&&((!((u12.p77>=1)&&(u18.p695>=1)))||(!(((u22.p1236>=1)&&(u212.p2196>=1))&&((u19.p840>=1)&&(u229.p2369>=1))))))
Read [invariant] property : DLCround-PT-07b-ReachabilityFireability-11 with value :((!((u20.p960>=1)&&(u241.p2489>=1)))&&(!((u372.p1415>=1)&&((u12.p76>=1)&&(u191.p1989>=1)))))
Read [invariant] property : DLCround-PT-07b-ReachabilityFireability-12 with value :((!((!((u13.p179>=1)&&(u201.p2089>=1)))&&((u161.p1688>=1)&&(u23.p1307>=1))))||(!((u183.p1903>=1)&&((u20.p915>=1)&&(u23.p1343>=1)))))
Read [invariant] property : DLCround-PT-07b-ReachabilityFireability-13 with value :(!(u159.p1668>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-14 with value :(((u20.p907>=1)&&(u178.p1859>=1))&&(u17.p612>=1))
Read [reachable] property : DLCround-PT-07b-ReachabilityFireability-15 with value :(((!((u228.p2360>=1)&&((u18.p756>=1)&&(u230.p2376>=1))))&&(u23.p1310>=1))||((((u18.p704>=1)&&(u223.p2309>=1))||((u15.p402>=1)||(u23.p1305>=1)))||(((u22.p1150>=1)||((u18.p694>=1)&&(u226.p2339>=1)))&&((u16.p493>=1)&&((u19.p808>=1)&&(u171.p1786>=1))))))
built 371 ordering constraints for composite.
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 4071 rows 2703 cols
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1753 + p1754 + p1755 + p1756 + p1757 + p1758 + p1759 + p1760 + p1761 + p1762 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1603 + p1604 + p1605 + p1606 + p1607 + p1608 + p1609 + p1610 + p1611 + p1612 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1963 + p1964 + p1965 + p1966 + p1967 + p1968 + p1969 + p1970 + p1971 + p1972 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p2573 + p2574 + p2575 + p2576 + p2577 + p2578 + p2579 + p2580 + p2581 + p2582 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1993 + p1994 + p1995 + p1996 + p1997 + p1998 + p1999 + p2000 + p2001 + p2002 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p2053 + p2054 + p2055 + p2056 + p2057 + p2058 + p2059 + p2060 + p2061 + p2062 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1903 + p1904 + p1905 + p1906 + p1907 + p1908 + p1909 + p1910 + p1911 + p1912 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p2213 + p2214 + p2215 + p2216 + p2217 + p2218 + p2219 + p2220 + p2221 + p2222 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p2453 + p2454 + p2455 + p2456 + p2457 + p2458 + p2459 + p2460 + p2461 + p2462 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p2643 + p2644 + p2645 + p2646 + p2647 + p2648 + p2649 + p2650 + p2651 + p2652 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p2083 + p2084 + p2085 + p2086 + p2087 + p2088 + p2089 + p2090 + p2091 + p2092 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p8 + p424 + p425 + p426 + p427 + p428 + p429 + p430 + p431 + p432 + p433 + p434 + p435 + p436 + p437 + p438 + p439 + p440 + p441 + p442 + p443 + p444 + p445 + p446 + p447 + p448 + p449 + p450 + p451 + p452 + p453 + p454 + p455 + p456 + p457 + p458 + p459 + p460 + p461 + p462 + p463 + p464 + p465 + p466 + p467 + p468 + p469 + p470 + p471 + p472 + p473 + p474 + p475 + p476 + p477 + p478 + p479 + p480 + p481 + p482 + p483 + p484 + p485 + p486 + p487 + p488 + p489 + p490 + p491 + p492 + p493 + p494 + p495 + p496 + p497 + p498 + p499 + p500 + p501 + p502 + p503 + p504 + p505 + p506 + p507 + p508 + p509 + p510 + p511 + p512 + p513 + p514 + p515 + p516 + p517 + p518 + p519 + p520 + p521 + p522 + p523 + p524 + p525 + p526 + p527 + p528 + p529 + p530 + p531 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p2113 + p2114 + p2115 + p2116 + p2117 + p2118 + p2119 + p2120 + p2121 + p2122 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p2513 + p2514 + p2515 + p2516 + p2517 + p2518 + p2519 + p2520 + p2521 + p2522 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1613 + p1614 + p1615 + p1616 + p1617 + p1618 + p1619 + p1620 + p1621 + p1622 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1773 + p1774 + p1775 + p1776 + p1777 + p1778 + p1779 + p1780 + p1781 + p1782 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p2203 + p2204 + p2205 + p2206 + p2207 + p2208 + p2209 + p2210 + p2211 + p2212 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p2293 + p2294 + p2295 + p2296 + p2297 + p2298 + p2299 + p2300 + p2301 + p2302 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p2263 + p2264 + p2265 + p2266 + p2267 + p2268 + p2269 + p2270 + p2271 + p2272 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p2353 + p2354 + p2355 + p2356 + p2357 + p2358 + p2359 + p2360 + p2361 + p2362 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p2433 + p2434 + p2435 + p2436 + p2437 + p2438 + p2439 + p2440 + p2441 + p2442 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p2123 + p2124 + p2125 + p2126 + p2127 + p2128 + p2129 + p2130 + p2131 + p2132 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p8 + p9 + p321 + p322 + p323 + p324 + p325 + p326 + p327 + p328 + p329 + p330 + p331 + p332 + p333 + p334 + p335 + p336 + p337 + p338 + p339 + p340 + p341 + p342 + p343 + p344 + p345 + p346 + p347 + p348 + p349 + p350 + p351 + p352 + p353 + p354 + p355 + p356 + p357 + p358 + p359 + p360 + p361 + p362 + p363 + p364 + p365 + p366 + p367 + p368 + p369 + p370 + p371 + p372 + p373 + p374 + p375 + p376 + p377 + p378 + p379 + p380 + p381 + p382 + p383 + p384 + p385 + p386 + p387 + p388 + p389 + p390 + p391 + p392 + p393 + p394 + p395 + p396 + p397 + p398 + p399 + p400 + p401 + p402 + p403 + p404 + p405 + p406 + p407 + p408 + p409 + p410 + p411 + p412 + p413 + p414 + p415 + p416 + p417 + p418 + p419 + p420 + p421 + p422 + p423 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1499 + p1500 + p1533 + p1534 + p1535 + p1536 + p1537 + p1538 + p1539 + p1540 + p1541 + p1542 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p2043 + p2044 + p2045 + p2046 + p2047 + p2048 + p2049 + p2050 + p2051 + p2052 = 1
invariant :p0 + p1 + p1264 + p1265 + p1266 + p1267 + p1268 + p1269 + p1270 + p1271 + p1272 + p1273 + p1274 + p1275 + p1276 + p1277 + p1278 + p1279 + p1280 + p1281 + p1282 + p1283 + p1284 + p1285 + p1286 + p1287 + p1288 + p1289 + p1290 + p1291 + p1292 + p1293 + p1294 + p1295 + p1296 + p1297 + p1298 + p1299 + p1300 + p1301 + p1302 + p1303 + p1304 + p1305 + p1306 + p1307 + p1308 + p1309 + p1310 + p1311 + p1312 + p1313 + p1314 + p1315 + p1316 + p1317 + p1318 + p1319 + p1320 + p1321 + p1322 + p1323 + p1324 + p1325 + p1326 + p1327 + p1328 + p1329 + p1330 + p1331 + p1332 + p1333 + p1334 + p1335 + p1336 + p1337 + p1338 + p1339 + p1340 + p1341 + p1342 + p1343 + p1344 + p1345 + p1346 + p1347 + p1348 + p1349 + p1350 + p1351 + p1352 + p1353 + p1354 + p1355 + p1356 + p1357 + p1358 + p1359 + p1360 + p1361 + p1362 + p1363 + p1364 + p1365 + p1366 + p1367 + p1368 + p1369 + p1370 + p1371 + p1372 + p1373 + p1374 + p1375 + p1376 + p1377 + p1378 + p1379 + p1380 + p1381 + p1382 + p1383 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1693 + p1694 + p1695 + p1696 + p1697 + p1698 + p1699 + p1700 + p1701 + p1702 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p2233 + p2234 + p2235 + p2236 + p2237 + p2238 + p2239 + p2240 + p2241 + p2242 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1653 + p1654 + p1655 + p1656 + p1657 + p1658 + p1659 + p1660 + p1661 + p1662 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p2033 + p2034 + p2035 + p2036 + p2037 + p2038 + p2039 + p2040 + p2041 + p2042 = 1
invariant :p0 + p1384 + p1385 + p2683 + p2684 + p2685 + p2686 + p2687 + p2688 + p2689 + p2690 + p2691 + p2692 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p2543 + p2544 + p2545 + p2546 + p2547 + p2548 + p2549 + p2550 + p2551 + p2552 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1733 + p1734 + p1735 + p1736 + p1737 + p1738 + p1739 + p1740 + p1741 + p1742 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1713 + p1714 + p1715 + p1716 + p1717 + p1718 + p1719 + p1720 + p1721 + p1722 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p2483 + p2484 + p2485 + p2486 + p2487 + p2488 + p2489 + p2490 + p2491 + p2492 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1933 + p1934 + p1935 + p1936 + p1937 + p1938 + p1939 + p1940 + p1941 + p1942 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1923 + p1924 + p1925 + p1926 + p1927 + p1928 + p1929 + p1930 + p1931 + p1932 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1643 + p1644 + p1645 + p1646 + p1647 + p1648 + p1649 + p1650 + p1651 + p1652 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1633 + p1634 + p1635 + p1636 + p1637 + p1638 + p1639 + p1640 + p1641 + p1642 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p2583 + p2584 + p2585 + p2586 + p2587 + p2588 + p2589 + p2590 + p2591 + p2592 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p8 + p9 + p10 + p218 + p219 + p220 + p221 + p222 + p223 + p224 + p225 + p226 + p227 + p228 + p229 + p230 + p231 + p232 + p233 + p234 + p235 + p236 + p237 + p238 + p239 + p240 + p241 + p242 + p243 + p244 + p245 + p246 + p247 + p248 + p249 + p250 + p251 + p252 + p253 + p254 + p255 + p256 + p257 + p258 + p259 + p260 + p261 + p262 + p263 + p264 + p265 + p266 + p267 + p268 + p269 + p270 + p271 + p272 + p273 + p274 + p275 + p276 + p277 + p278 + p279 + p280 + p281 + p282 + p283 + p284 + p285 + p286 + p287 + p288 + p289 + p290 + p291 + p292 + p293 + p294 + p295 + p296 + p297 + p298 + p299 + p300 + p301 + p302 + p303 + p304 + p305 + p306 + p307 + p308 + p309 + p310 + p311 + p312 + p313 + p314 + p315 + p316 + p317 + p318 + p319 + p320 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p2503 + p2504 + p2505 + p2506 + p2507 + p2508 + p2509 + p2510 + p2511 + p2512 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p2593 + p2594 + p2595 + p2596 + p2597 + p2598 + p2599 + p2600 + p2601 + p2602 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p2303 + p2304 + p2305 + p2306 + p2307 + p2308 + p2309 + p2310 + p2311 + p2312 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1823 + p1824 + p1825 + p1826 + p1827 + p1828 + p1829 + p1830 + p1831 + p1832 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1873 + p1874 + p1875 + p1876 + p1877 + p1878 + p1879 + p1880 + p1881 + p1882 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1803 + p1804 + p1805 + p1806 + p1807 + p1808 + p1809 + p1810 + p1811 + p1812 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1499 + p1500 + p1501 + p1523 + p1524 + p1525 + p1526 + p1527 + p1528 + p1529 + p1530 + p1531 + p1532 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1813 + p1814 + p1815 + p1816 + p1817 + p1818 + p1819 + p1820 + p1821 + p1822 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1793 + p1794 + p1795 + p1796 + p1797 + p1798 + p1799 + p1800 + p1801 + p1802 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1703 + p1704 + p1705 + p1706 + p1707 + p1708 + p1709 + p1710 + p1711 + p1712 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1893 + p1894 + p1895 + p1896 + p1897 + p1898 + p1899 + p1900 + p1901 + p1902 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p2093 + p2094 + p2095 + p2096 + p2097 + p2098 + p2099 + p2100 + p2101 + p2102 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p2533 + p2534 + p2535 + p2536 + p2537 + p2538 + p2539 + p2540 + p2541 + p2542 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1663 + p1664 + p1665 + p1666 + p1667 + p1668 + p1669 + p1670 + p1671 + p1672 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p2343 + p2344 + p2345 + p2346 + p2347 + p2348 + p2349 + p2350 + p2351 + p2352 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p8 + p9 + p10 + p11 + p115 + p116 + p117 + p118 + p119 + p120 + p121 + p122 + p123 + p124 + p125 + p126 + p127 + p128 + p129 + p130 + p131 + p132 + p133 + p134 + p135 + p136 + p137 + p138 + p139 + p140 + p141 + p142 + p143 + p144 + p145 + p146 + p147 + p148 + p149 + p150 + p151 + p152 + p153 + p154 + p155 + p156 + p157 + p158 + p159 + p160 + p161 + p162 + p163 + p164 + p165 + p166 + p167 + p168 + p169 + p170 + p171 + p172 + p173 + p174 + p175 + p176 + p177 + p178 + p179 + p180 + p181 + p182 + p183 + p184 + p185 + p186 + p187 + p188 + p189 + p190 + p191 + p192 + p193 + p194 + p195 + p196 + p197 + p198 + p199 + p200 + p201 + p202 + p203 + p204 + p205 + p206 + p207 + p208 + p209 + p210 + p211 + p212 + p213 + p214 + p215 + p216 + p217 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1499 + p1543 + p1544 + p1545 + p1546 + p1547 + p1548 + p1549 + p1550 + p1551 + p1552 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p2623 + p2624 + p2625 + p2626 + p2627 + p2628 + p2629 + p2630 + p2631 + p2632 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1883 + p1884 + p1885 + p1886 + p1887 + p1888 + p1889 + p1890 + p1891 + p1892 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p2253 + p2254 + p2255 + p2256 + p2257 + p2258 + p2259 + p2260 + p2261 + p2262 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p2373 + p2374 + p2375 + p2376 + p2377 + p2378 + p2379 + p2380 + p2381 + p2382 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p2313 + p2314 + p2315 + p2316 + p2317 + p2318 + p2319 + p2320 + p2321 + p2322 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1843 + p1844 + p1845 + p1846 + p1847 + p1848 + p1849 + p1850 + p1851 + p1852 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1863 + p1864 + p1865 + p1866 + p1867 + p1868 + p1869 + p1870 + p1871 + p1872 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p2223 + p2224 + p2225 + p2226 + p2227 + p2228 + p2229 + p2230 + p2231 + p2232 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p2163 + p2164 + p2165 + p2166 + p2167 + p2168 + p2169 + p2170 + p2171 + p2172 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1973 + p1974 + p1975 + p1976 + p1977 + p1978 + p1979 + p1980 + p1981 + p1982 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p2523 + p2524 + p2525 + p2526 + p2527 + p2528 + p2529 + p2530 + p2531 + p2532 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p2443 + p2444 + p2445 + p2446 + p2447 + p2448 + p2449 + p2450 + p2451 + p2452 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p2003 + p2004 + p2005 + p2006 + p2007 + p2008 + p2009 + p2010 + p2011 + p2012 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1573 + p1574 + p1575 + p1576 + p1577 + p1578 + p1579 + p1580 + p1581 + p1582 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1953 + p1954 + p1955 + p1956 + p1957 + p1958 + p1959 + p1960 + p1961 + p1962 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p2133 + p2134 + p2135 + p2136 + p2137 + p2138 + p2139 + p2140 + p2141 + p2142 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p7 + p8 + p9 + p10 + p11 + p12 + p13 + p14 + p15 + p16 + p17 + p18 + p19 + p20 + p21 + p22 + p23 + p24 + p25 + p26 + p27 + p28 + p29 + p30 + p31 + p32 + p33 + p34 + p35 + p36 + p37 + p38 + p39 + p40 + p41 + p42 + p43 + p44 + p45 + p46 + p47 + p48 + p49 + p50 + p51 + p52 + p53 + p54 + p55 + p56 + p57 + p58 + p59 + p60 + p61 + p62 + p63 + p64 + p65 + p66 + p67 + p68 + p69 + p70 + p71 + p72 + p73 + p74 + p75 + p76 + p77 + p78 + p79 + p80 + p81 + p82 + p83 + p84 + p85 + p86 + p87 + p88 + p89 + p90 + p91 + p92 + p93 + p94 + p95 + p96 + p97 + p98 + p99 + p100 + p101 + p102 + p103 + p104 + p105 + p106 + p107 + p108 + p109 + p110 + p111 + p112 + p113 + p114 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1499 + p1500 + p1501 + p1502 + p1513 + p1514 + p1515 + p1516 + p1517 + p1518 + p1519 + p1520 + p1521 + p1522 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1763 + p1764 + p1765 + p1766 + p1767 + p1768 + p1769 + p1770 + p1771 + p1772 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p2393 + p2394 + p2395 + p2396 + p2397 + p2398 + p2399 + p2400 + p2401 + p2402 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p2423 + p2424 + p2425 + p2426 + p2427 + p2428 + p2429 + p2430 + p2431 + p2432 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1563 + p1564 + p1565 + p1566 + p1567 + p1568 + p1569 + p1570 + p1571 + p1572 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p2473 + p2474 + p2475 + p2476 + p2477 + p2478 + p2479 + p2480 + p2481 + p2482 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1673 + p1674 + p1675 + p1676 + p1677 + p1678 + p1679 + p1680 + p1681 + p1682 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1499 + p1500 + p1501 + p1502 + p1503 + p1504 + p1505 + p1506 + p1507 + p1508 + p1509 + p1510 + p1511 + p1512 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1496 + p1497 + p1498 + p1553 + p1554 + p1555 + p1556 + p1557 + p1558 + p1559 + p1560 + p1561 + p1562 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p2283 + p2284 + p2285 + p2286 + p2287 + p2288 + p2289 + p2290 + p2291 + p2292 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p2143 + p2144 + p2145 + p2146 + p2147 + p2148 + p2149 + p2150 + p2151 + p2152 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1943 + p1944 + p1945 + p1946 + p1947 + p1948 + p1949 + p1950 + p1951 + p1952 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1983 + p1984 + p1985 + p1986 + p1987 + p1988 + p1989 + p1990 + p1991 + p1992 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p2073 + p2074 + p2075 + p2076 + p2077 + p2078 + p2079 + p2080 + p2081 + p2082 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1683 + p1684 + p1685 + p1686 + p1687 + p1688 + p1689 + p1690 + p1691 + p1692 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p2363 + p2364 + p2365 + p2366 + p2367 + p2368 + p2369 + p2370 + p2371 + p2372 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p2563 + p2564 + p2565 + p2566 + p2567 + p2568 + p2569 + p2570 + p2571 + p2572 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p2323 + p2324 + p2325 + p2326 + p2327 + p2328 + p2329 + p2330 + p2331 + p2332 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p2063 + p2064 + p2065 + p2066 + p2067 + p2068 + p2069 + p2070 + p2071 + p2072 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p2463 + p2464 + p2465 + p2466 + p2467 + p2468 + p2469 + p2470 + p2471 + p2472 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1853 + p1854 + p1855 + p1856 + p1857 + p1858 + p1859 + p1860 + p1861 + p1862 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1783 + p1784 + p1785 + p1786 + p1787 + p1788 + p1789 + p1790 + p1791 + p1792 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p2173 + p2174 + p2175 + p2176 + p2177 + p2178 + p2179 + p2180 + p2181 + p2182 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p2403 + p2404 + p2405 + p2406 + p2407 + p2408 + p2409 + p2410 + p2411 + p2412 = 1
invariant :p0 + p1384 + p1385 + p1386 + p2673 + p2674 + p2675 + p2676 + p2677 + p2678 + p2679 + p2680 + p2681 + p2682 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p2273 + p2274 + p2275 + p2276 + p2277 + p2278 + p2279 + p2280 + p2281 + p2282 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p2493 + p2494 + p2495 + p2496 + p2497 + p2498 + p2499 + p2500 + p2501 + p2502 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p2413 + p2414 + p2415 + p2416 + p2417 + p2418 + p2419 + p2420 + p2421 + p2422 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p2333 + p2334 + p2335 + p2336 + p2337 + p2338 + p2339 + p2340 + p2341 + p2342 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1495 + p1583 + p1584 + p1585 + p1586 + p1587 + p1588 + p1589 + p1590 + p1591 + p1592 = 1
invariant :p0 + p1384 + p2693 + p2694 + p2695 + p2696 + p2697 + p2698 + p2699 + p2700 + p2701 + p2702 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p2103 + p2104 + p2105 + p2106 + p2107 + p2108 + p2109 + p2110 + p2111 + p2112 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p2383 + p2384 + p2385 + p2386 + p2387 + p2388 + p2389 + p2390 + p2391 + p2392 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p2183 + p2184 + p2185 + p2186 + p2187 + p2188 + p2189 + p2190 + p2191 + p2192 = 1
invariant :p0 + p1 + p2 + p1144 + p1145 + p1146 + p1147 + p1148 + p1149 + p1150 + p1151 + p1152 + p1153 + p1154 + p1155 + p1156 + p1157 + p1158 + p1159 + p1160 + p1161 + p1162 + p1163 + p1164 + p1165 + p1166 + p1167 + p1168 + p1169 + p1170 + p1171 + p1172 + p1173 + p1174 + p1175 + p1176 + p1177 + p1178 + p1179 + p1180 + p1181 + p1182 + p1183 + p1184 + p1185 + p1186 + p1187 + p1188 + p1189 + p1190 + p1191 + p1192 + p1193 + p1194 + p1195 + p1196 + p1197 + p1198 + p1199 + p1200 + p1201 + p1202 + p1203 + p1204 + p1205 + p1206 + p1207 + p1208 + p1209 + p1210 + p1211 + p1212 + p1213 + p1214 + p1215 + p1216 + p1217 + p1218 + p1219 + p1220 + p1221 + p1222 + p1223 + p1224 + p1225 + p1226 + p1227 + p1228 + p1229 + p1230 + p1231 + p1232 + p1233 + p1234 + p1235 + p1236 + p1237 + p1238 + p1239 + p1240 + p1241 + p1242 + p1243 + p1244 + p1245 + p1246 + p1247 + p1248 + p1249 + p1250 + p1251 + p1252 + p1253 + p1254 + p1255 + p1256 + p1257 + p1258 + p1259 + p1260 + p1261 + p1262 + p1263 = 1
invariant :p0 + p1 + p2 + p3 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p1031 + p1032 + p1033 + p1034 + p1035 + p1036 + p1037 + p1038 + p1039 + p1040 + p1041 + p1042 + p1043 + p1044 + p1045 + p1046 + p1047 + p1048 + p1049 + p1050 + p1051 + p1052 + p1053 + p1054 + p1055 + p1056 + p1057 + p1058 + p1059 + p1060 + p1061 + p1062 + p1063 + p1064 + p1065 + p1066 + p1067 + p1068 + p1069 + p1070 + p1071 + p1072 + p1073 + p1074 + p1075 + p1076 + p1077 + p1078 + p1079 + p1080 + p1081 + p1082 + p1083 + p1084 + p1085 + p1086 + p1087 + p1088 + p1089 + p1090 + p1091 + p1092 + p1093 + p1094 + p1095 + p1096 + p1097 + p1098 + p1099 + p1100 + p1101 + p1102 + p1103 + p1104 + p1105 + p1106 + p1107 + p1108 + p1109 + p1110 + p1111 + p1112 + p1113 + p1114 + p1115 + p1116 + p1117 + p1118 + p1119 + p1120 + p1121 + p1122 + p1123 + p1124 + p1125 + p1126 + p1127 + p1128 + p1129 + p1130 + p1131 + p1132 + p1133 + p1134 + p1135 + p1136 + p1137 + p1138 + p1139 + p1140 + p1141 + p1142 + p1143 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p2553 + p2554 + p2555 + p2556 + p2557 + p2558 + p2559 + p2560 + p2561 + p2562 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1743 + p1744 + p1745 + p1746 + p1747 + p1748 + p1749 + p1750 + p1751 + p1752 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p2023 + p2024 + p2025 + p2026 + p2027 + p2028 + p2029 + p2030 + p2031 + p2032 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p2193 + p2194 + p2195 + p2196 + p2197 + p2198 + p2199 + p2200 + p2201 + p2202 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1492 + p1493 + p1494 + p1593 + p1594 + p1595 + p1596 + p1597 + p1598 + p1599 + p1600 + p1601 + p1602 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1723 + p1724 + p1725 + p1726 + p1727 + p1728 + p1729 + p1730 + p1731 + p1732 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p2663 + p2664 + p2665 + p2666 + p2667 + p2668 + p2669 + p2670 + p2671 + p2672 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1833 + p1834 + p1835 + p1836 + p1837 + p1838 + p1839 + p1840 + p1841 + p1842 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p2153 + p2154 + p2155 + p2156 + p2157 + p2158 + p2159 + p2160 + p2161 + p2162 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p2013 + p2014 + p2015 + p2016 + p2017 + p2018 + p2019 + p2020 + p2021 + p2022 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p2243 + p2244 + p2245 + p2246 + p2247 + p2248 + p2249 + p2250 + p2251 + p2252 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p6 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1913 + p1914 + p1915 + p1916 + p1917 + p1918 + p1919 + p1920 + p1921 + p1922 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p2603 + p2604 + p2605 + p2606 + p2607 + p2608 + p2609 + p2610 + p2611 + p2612 = 1
invariant :p0 + p1 + p2 + p3 + p4 + p5 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p2613 + p2614 + p2615 + p2616 + p2617 + p2618 + p2619 + p2620 + p2621 + p2622 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p1391 + p1392 + p1393 + p1394 + p1395 + p1396 + p1397 + p1398 + p1399 + p1400 + p1401 + p1402 + p1403 + p1404 + p1405 + p1406 + p1407 + p1408 + p1409 + p1410 + p1411 + p1412 + p1413 + p1414 + p1415 + p1416 + p1417 + p1418 + p1419 + p1420 + p1421 + p1422 + p1423 + p1424 + p1425 + p1426 + p1427 + p1428 + p1429 + p1430 + p1431 + p1432 + p1433 + p1434 + p1435 + p1436 + p1437 + p1438 + p1439 + p1440 + p1441 + p1442 + p1443 + p1444 + p1445 + p1446 + p1447 + p1448 + p1449 + p1450 + p1451 + p1452 + p1453 + p1454 + p1455 + p1456 + p1457 + p1458 + p1459 + p1460 + p1461 + p1462 + p1463 + p1464 + p1465 + p1466 + p1467 + p1468 + p1469 + p1470 + p1471 + p1472 + p1473 + p1474 + p1475 + p1476 + p1477 + p1478 + p1479 + p1480 + p1481 + p1482 + p1483 + p1484 + p1485 + p1486 + p1487 + p1488 + p1489 + p1490 + p1491 + p1623 + p1624 + p1625 + p1626 + p1627 + p1628 + p1629 + p1630 + p1631 + p1632 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p1389 + p1390 + p2633 + p2634 + p2635 + p2636 + p2637 + p2638 + p2639 + p2640 + p2641 + p2642 = 1
invariant :p0 + p1384 + p1385 + p1386 + p1387 + p1388 + p2653 + p2654 + p2655 + p2656 + p2657 + p2658 + p2659 + p2660 + p2661 + p2662 = 1
Compilation finished in 69646 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 90 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability00==true], workingDir=/home/mcc/execution]
WARNING : LTSmin timed out (>225 s) on command CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability00==true], workingDir=/home/mcc/execution]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability01==true], workingDir=/home/mcc/execution]
WARNING : LTSmin timed out (>225 s) on command CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability01==true], workingDir=/home/mcc/execution]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability02==true], workingDir=/home/mcc/execution]
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability02==true], workingDir=/home/mcc/execution]
255
BK_TIME_CONFINEMENT_REACHED
--------------------
content from stderr:
+ export BINDIR=/home/mcc/BenchKit/
+ BINDIR=/home/mcc/BenchKit/
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ /home/mcc/BenchKit//runeclipse.sh /home/mcc/execution ReachabilityFireability -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -smt
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ /home/mcc/BenchKit//itstools/its-tools -consoleLog -data /home/mcc/execution/workspace -pnfolder /home/mcc/execution -examination ReachabilityFireability -z3path /home/mcc/BenchKit//z3/bin/z3 -yices2path /home/mcc/BenchKit//yices/bin/yices -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -smt -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss8m -Xms40m -Xmx8192m -Dfile.encoding=UTF-8 -Dosgi.requiredJavaVersion=1.6
May 18, 2018 7:55:48 PM fr.lip6.move.gal.application.Application start
INFO: Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, ReachabilityFireability, -z3path, /home/mcc/BenchKit//z3/bin/z3, -yices2path, /home/mcc/BenchKit//yices/bin/yices, -its, -ltsminpath, /home/mcc/BenchKit//lts_install_dir/, -smt]
May 18, 2018 7:55:48 PM fr.lip6.move.gal.application.MccTranslator transformPNML
INFO: Parsing pnml file : /home/mcc/execution/model.pnml
May 18, 2018 7:55:48 PM fr.lip6.move.gal.nupn.PTNetReader loadFromXML
INFO: Load time of PNML (sax parser for PT used): 382 ms
May 18, 2018 7:55:48 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 2703 places.
May 18, 2018 7:55:48 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 4071 transitions.
May 18, 2018 7:55:48 PM fr.lip6.move.gal.pnml.togal.PnmlToGalTransformer transform
INFO: Found NUPN structural information;
May 18, 2018 7:55:48 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/model.pnml.img.gal : 84 ms
May 18, 2018 7:55:49 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 943 ms
May 18, 2018 7:55:50 PM fr.lip6.move.gal.application.MccTranslator applyOrder
INFO: Applying decomposition
May 18, 2018 7:55:50 PM fr.lip6.move.gal.instantiate.CompositeBuilder decomposeWithOrder
INFO: Decomposing Gal with order
May 18, 2018 7:55:51 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 1002 ms
May 18, 2018 7:55:51 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 728 ms
May 18, 2018 7:55:51 PM fr.lip6.move.gal.instantiate.CompositeBuilder rewriteArraysToAllowPartition
INFO: Rewriting arrays to variables to allow decomposition.
May 18, 2018 7:55:51 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 4071 transitions.
May 18, 2018 7:55:51 PM fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext transform
INFO: Too many transitions (4071) to apply POR reductions. Disabling POR matrices.
May 18, 2018 7:55:51 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 4071 transitions.
May 18, 2018 7:55:52 PM fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext transform
INFO: Built C files in 2216ms conformant to PINS in folder :/home/mcc/execution
May 18, 2018 7:55:52 PM fr.lip6.move.gal.instantiate.Instantiator fuseIsomorphicEffects
INFO: Removed a total of 2424 redundant transitions.
May 18, 2018 7:55:52 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/ReachabilityFireability.pnml.gal : 58 ms
May 18, 2018 7:55:52 PM fr.lip6.move.serialization.SerializationUtil serializePropertiesForITSTools
INFO: Time to serialize properties into /home/mcc/execution/ReachabilityFireability.prop : 1 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd checkProperties
INFO: Ran tautology test, simplified 0 / 16 in 3450 ms.
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=0 took 85 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=0 took 13 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-02(UNSAT) depth K=0 took 9 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-03(UNSAT) depth K=0 took 6 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-04(UNSAT) depth K=0 took 26 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-05(UNSAT) depth K=0 took 11 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-06(UNSAT) depth K=0 took 10 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-07(UNSAT) depth K=0 took 9 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-08(UNSAT) depth K=0 took 7 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-09(UNSAT) depth K=0 took 12 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-10(UNSAT) depth K=0 took 7 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-11(UNSAT) depth K=0 took 11 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-12(UNSAT) depth K=0 took 11 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-13(UNSAT) depth K=0 took 11 ms
May 18, 2018 7:55:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-14(UNSAT) depth K=0 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-15(UNSAT) depth K=0 took 20 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=1 took 15 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=1 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-02(UNSAT) depth K=1 took 14 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-03(UNSAT) depth K=1 took 9 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-04(UNSAT) depth K=1 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-05(UNSAT) depth K=1 took 15 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-06(UNSAT) depth K=1 took 15 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-07(UNSAT) depth K=1 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-08(UNSAT) depth K=1 took 12 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 4071 transitions.
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-09(UNSAT) depth K=1 took 19 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-10(UNSAT) depth K=1 took 12 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-11(UNSAT) depth K=1 took 20 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-12(UNSAT) depth K=1 took 16 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-13(UNSAT) depth K=1 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-14(UNSAT) depth K=1 took 11 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-15(UNSAT) depth K=1 took 12 ms
May 18, 2018 7:55:55 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=2 took 512 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=2 took 17 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-02(UNSAT) depth K=2 took 20 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-03(UNSAT) depth K=2 took 15 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-04(UNSAT) depth K=2 took 12 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-05(UNSAT) depth K=2 took 5 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-06(UNSAT) depth K=2 took 2 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-07(UNSAT) depth K=2 took 12 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-08(UNSAT) depth K=2 took 6 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-09(UNSAT) depth K=2 took 3 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-10(UNSAT) depth K=2 took 3 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-11(UNSAT) depth K=2 took 3 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-12(UNSAT) depth K=2 took 2 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-13(UNSAT) depth K=2 took 1 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-14(UNSAT) depth K=2 took 2 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-15(UNSAT) depth K=2 took 9 ms
May 18, 2018 7:55:56 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=3 took 604 ms
May 18, 2018 7:55:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=3 took 307 ms
May 18, 2018 7:55:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-02(UNSAT) depth K=3 took 633 ms
May 18, 2018 7:55:58 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-03(UNSAT) depth K=3 took 616 ms
May 18, 2018 7:55:58 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-04(UNSAT) depth K=3 took 324 ms
May 18, 2018 7:55:58 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-05(UNSAT) depth K=3 took 323 ms
May 18, 2018 7:55:59 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-06(UNSAT) depth K=3 took 753 ms
May 18, 2018 7:56:00 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-07(UNSAT) depth K=3 took 644 ms
May 18, 2018 7:56:00 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver computeAndDeclareInvariants
INFO: Computed 132 place invariants in 3789 ms
May 18, 2018 7:56:00 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-08(UNSAT) depth K=3 took 406 ms
May 18, 2018 7:56:01 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-09(UNSAT) depth K=3 took 1054 ms
May 18, 2018 7:56:02 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-10(UNSAT) depth K=3 took 931 ms
May 18, 2018 7:56:03 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-11(UNSAT) depth K=3 took 729 ms
May 18, 2018 7:56:04 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-12(UNSAT) depth K=3 took 756 ms
May 18, 2018 7:56:05 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-13(UNSAT) depth K=3 took 916 ms
May 18, 2018 7:56:05 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-14(UNSAT) depth K=3 took 323 ms
May 18, 2018 7:56:05 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-15(UNSAT) depth K=3 took 349 ms
May 18, 2018 7:56:24 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver init
INFO: Proved 2703 variables to be positive in 27423 ms
May 18, 2018 7:57:04 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=4 took 58137 ms
May 18, 2018 7:57:11 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=4 took 7418 ms
May 18, 2018 8:02:09 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-02(UNSAT) depth K=4 took 297615 ms
May 18, 2018 8:03:00 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-03(UNSAT) depth K=4 took 51539 ms
pins2lts-mc, 0.000: Registering PINS so language module
pins2lts-mc, 0.000, ** error **: out of memory trying to get 4294967296
java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, -i, DLCroundPT07bReachabilityFireability02==true], workingDir=/home/mcc/execution]
255
at fr.lip6.move.gal.application.LTSminRunner.checkProperty(LTSminRunner.java:167)
at fr.lip6.move.gal.application.LTSminRunner.access$9(LTSminRunner.java:122)
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:91)
at java.lang.Thread.run(Thread.java:748)
May 18, 2018 8:05:10 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-04(UNSAT) depth K=4 took 129511 ms
ITS-tools command line returned an error code 137
May 18, 2018 8:10:22 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-05(UNSAT) depth K=4 took 311895 ms
May 18, 2018 8:10:43 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-06(UNSAT) depth K=4 took 21036 ms
May 18, 2018 8:13:32 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-07(UNSAT) depth K=4 took 169323 ms
May 18, 2018 8:18:20 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-08(UNSAT) depth K=4 took 288197 ms
May 18, 2018 8:18:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-09(UNSAT) depth K=4 took 9998 ms
May 18, 2018 8:18:40 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesDLCround-PT-07b-ReachabilityFireability-00
May 18, 2018 8:18:40 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property DLCround-PT-07b-ReachabilityFireability-00(SAT) depth K=0 took 1336156 ms
May 18, 2018 8:18:53 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-10(UNSAT) depth K=4 took 22535 ms
May 18, 2018 8:19:23 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-11(UNSAT) depth K=4 took 30647 ms
May 18, 2018 8:19:45 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-12(UNSAT) depth K=4 took 21752 ms
May 18, 2018 8:19:58 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-13(UNSAT) depth K=4 took 13082 ms
May 18, 2018 8:20:45 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-14(UNSAT) depth K=4 took 46387 ms
May 18, 2018 8:21:54 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-15(UNSAT) depth K=4 took 69172 ms
May 18, 2018 8:42:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-00(UNSAT) depth K=5 took 1262819 ms
May 18, 2018 8:45:35 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property DLCround-PT-07b-ReachabilityFireability-01(UNSAT) depth K=5 took 158719 ms
May 18, 2018 8:46:00 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesDLCround-PT-07b-ReachabilityFireability-01
May 18, 2018 8:46:00 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property DLCround-PT-07b-ReachabilityFireability-01(SAT) depth K=0 took 1640079 ms
Sequence of Actions to be Executed by the VM
This is useful if one wants to reexecute the tool in the VM from the submitted image disk.
set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="DLCround-PT-07b"
export BK_EXAMINATION="ReachabilityFireability"
export BK_TOOL="itstools"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"
# this is specific to your benchmark or test
export BIN_DIR="$HOME/BenchKit/bin"
# remove the execution directoty if it exists (to avoid increse of .vmdk images)
if [ -d execution ] ; then
rm -rf execution
fi
tar xzf /home/mcc/BenchKit/INPUTS/DLCround-PT-07b.tgz
mv DLCround-PT-07b execution
cd execution
pwd
ls -lh
# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-3637"
echo " Executing tool itstools"
echo " Input is DLCround-PT-07b, examination is ReachabilityFireability"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r068-smll-152649741100070"
echo "====================================================================="
echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "ReachabilityFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "ReachabilityFireability" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "ReachabilityFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property ReachabilityFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "ReachabilityFireability.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '
echo "FORMULA_NAME $x"
done
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;