MCC'2016 - Execution of r136kn-smll-146384397900151

About the Execution of Tapaal(PAR) for TokenRing-PT-050

Execution Summary
Max Memory Used (MB)	Time wait (ms)	CPU Usage (ms)	I/O Wait (ms)	Computed Result	Execution Status
6435.060	3600000.00	3614126.00	8783.80	[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)
................................................................
=====================================================================
Generated by BenchKit 2-2979
Executing tool tapaalPAR
Input is TokenRing-PT-050, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r136kn-smll-146384397900151
=====================================================================

--------------------
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 TokenRing-COL-050-ReachabilityCardinality-0
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-1
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-10
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-11
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-12
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-13
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-14
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-15
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-2
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-3
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-4
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-5
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-6
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-7
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-8
FORMULA_NAME TokenRing-COL-050-ReachabilityCardinality-9

=== Now, execution of the tool begins

BK_START 1463866948611

*****************************************
TAPAAL onthefly-PAR performing ReachabilityCardinality search
*****************************************

verifypn -o mc -c 4 -n model.pnml ReachabilityCardinality.xml
TokenRing-COL-050-ReachabilityCardinality-0: not EF not ( (((2 <= ("State_27_28" + "State_22_47" + "State_22_45" + "State_9_0" + "State_42_33" + "State_20_3" + "State_48_32" + "State_40_12" + "State_43_22" + "State_45_5" + "State_0_23" + "State_30_18" + "State_4_20" + "State_21_45" + "State_7_46" + "State_34_23" + "State_5_12" + "State_21_31" + "State_31_12" + "State_48_50" + "State_48_14" + "State_27_40" + "State_41_14" + "State_43_3" + "State_28_44" + "State_21_39" + "State_36_47" + "State_2_18" + "State_20_14" + "State_50_45" + "State_36_40" + "State_12_36" + "State_27_46" + "State_46_0" + "State_47_12" + "State_22_14" + "State_26_46" + "State_6_44" + "State_43_50" + "State_41_6" + "State_22_28" + "State_27_4" + "State_3_50" + "State_16_18" + "State_49_11" + "State_14_9" + "State_50_3" + "State_6_17" + "State_33_50" + "State_36_28" + "State_13_28" + "State_33_30" + "State_43_7" + "State_35_18" + "State_18_11" + "State_26_5" + "State_22_3" + "State_45_46" + "State_38_8" + "State_36_5" + "State_44_30" + "State_23_17" + "State_15_23" + "State_29_3" + "State_12_46" + "State_7_35" + "State_32_33" + "State_3_40" + "State_18_29" + "State_6_4" + "State_16_30" + "State_18_16" + "State_38_22" + "State_9_41" + "State_45_12" + "State_3_48" + "State_5_45" + "State_50_28" + "State_34_44" + "State_47_19" + "State_14_22" + "State_33_9" + "State_4_6" + "State_6_48" + "State_11_25" + "State_6_23" + "State_7_33" + "State_0_30" + "State_3_38" + "State_38_50" + "State_34_48" + "State_13_6" + "State_16_7" + "State_2_43" + "State_13_47" + "State_46_11" + "State_20_4" + "State_7_7" + "State_24_48" + "State_29_23" + "State_6_15" + "State_37_37" + "State_34_41" + "State_29_14" + "State_44_10" + "State_31_44" + "State_26_20" + "State_45_44" + "State_7_37" + "State_20_8" + "State_5_9" + "State_40_19" + "State_34_2" + "State_29_20" + "State_39_11" + "State_12_45" + "State_0_22" + "State_39_20" + "State_44_18" + "State_1_23" + "State_19_0" + "State_22_35" + "State_23_21" + "State_12_34" + "State_9_8" + "State_2_34" + "State_3_44" + "State_12_35" + "State_46_16" + "State_9_25" + "State_26_2" + "State_15_20" + "State_2_25" + "State_49_18" + "State_9_2" + "State_44_38" + "State_28_0" + "State_24_9" + "State_41_1" + "State_29_22" + "State_22_16" + "State_35_35" + "State_25_33" + "State_36_3" + "State_2_21" + "State_40_20" + "State_8_13" + "State_49_40" + "State_41_15" + "State_1_26" + "State_49_45" + "State_13_38" + "State_41_9" + "State_24_38" + "State_40_45" + "State_31_38" + "State_10_31" + "State_29_36" + "State_0_11" + "State_27_41" + "State_47_47" + "State_16_25" + "State_9_17" + "State_14_37" + "State_43_31" + "State_34_15" + "State_28_43" + "State_21_43" + "State_22_34" + "State_38_36" + "State_37_0" + "State_7_27" + "State_43_35" + "State_4_29" + "State_11_16" + "State_13_1" + "State_43_48" + "State_35_13" + "State_1_21" + "State_5_2" + "State_36_39" + "State_13_29" + "State_39_19" + "State_47_21" + "State_4_47" + "State_16_12" + "State_6_49" + "State_43_26" + "State_16_15" + "State_38_48" + "State_25_2" + "State_3_35" + "State_4_42" + "State_2_5" + "State_3_6" + "State_41_28" + "State_27_19" + "State_39_17" + "State_14_23" + "State_50_16" + "State_50_4" + "State_47_34" + "State_10_11" + "State_21_27" + "State_19_32" + "State_42_27" + "State_0_39" + "State_32_45" + "State_49_6" + "State_0_32" + "State_24_10" + "State_42_43" + "State_2_46" + "State_6_18" + "State_15_3" + "State_10_36" + "State_17_0" + "State_22_24" + "State_49_33" + "State_48_4" + "State_29_40" + "State_17_49" + "State_1_1" + "State_37_27" + "State_28_27" + "State_35_1" + "State_20_21" + "State_25_7" + "State_7_13" + "State_12_19" + "State_25_48" + "State_10_40" + "State_20_11" + "State_11_24" + "State_0_8" + "State_20_41" + "State_3_34" + "State_41_29" + "State_0_28" + "State_25_45" + "State_45_49" + "State_44_46" + "State_23_12" + "State_1_3" + "State_1_11" + "State_33_24" + "State_42_13" + "State_21_1" + "State_17_44" + "State_45_34" + "State_34_4" + "State_7_40" + "State_29_16" + "State_5_30" + "State_13_50" + "State_2_8" + "State_11_14" + "State_5_28" + "State_17_13" + "State_31_6" + "State_36_19" + "State_15_26" + "State_48_11" + "State_47_36" + "State_44_26" + "State_23_15" + "State_17_17" + "State_27_29" + "State_40_14" + "State_23_46" + "State_5_32" + "State_44_17" + "State_45_13" + "State_3_31" + "State_8_5" + "State_42_1" + "State_48_23" + "State_10_50" + "State_36_42" + "State_28_23" + "State_14_32" + "State_13_15" + "State_38_42" + "State_3_0" + "State_24_17" + "State_7_10" + "State_30_17" + "State_46_29" + "State_30_34" + "State_47_16" + "State_36_37" + "State_0_50" + "State_34_49" + "State_9_20" + "State_3_43" + "State_37_22" + "State_12_2" + "State_14_43" + "State_18_2" + "State_47_37" + "State_30_26" + "State_50_24" + "State_28_24" + "State_43_20" + "State_19_2" + "State_37_31" + "State_14_38" + "State_4_35" + "State_24_0" + "State_29_21" + "State_8_19" + "State_8_3" + "State_21_22" + "State_20_23" + "State_13_37" + "State_39_25" + "State_0_16" + "State_20_50" + "State_14_1" + "State_24_13" + "State_43_2" + "State_42_38" + "State_32_29" + "State_22_40" + "State_40_36" + "State_27_5" + "State_36_24" + "State_19_36" + "State_11_42" + "State_33_10" + "State_11_44" + "State_40_31" + "State_14_13" + "State_32_7" + "State_22_6" + "State_15_48" + "State_41_4" + "State_49_1" + "State_48_49" + "State_15_46" + "State_16_50" + "State_7_47" + "State_33_28" + "State_1_31" + "State_30_36" + "State_43_10" + "State_6_12" + "State_29_1" + "State_11_45" + "State_15_41" + "State_15_10" + "State_45_23" + "State_30_28" + "State_43_8" + "State_27_37" + "State_10_8" + "State_21_20" + "State_31_34" + "State_22_25" + "State_19_21" + "State_23_5" + "State_13_27" + "State_28_49" + "State_15_12" + "State_21_16" + "State_6_31" + "State_16_28" + "State_20_31" + "State_7_29" + "State_15_30" + "State_45_0" + "State_39_47" + "State_42_15" + "State_7_17" + "State_44_15" + "State_33_7" + "State_20_49" + "State_49_14" + "State_23_3" + "State_1_19" + "State_30_16" + "State_18_45" + "State_44_22" + "State_6_32" + "State_10_21" + "State_19_28" + "State_24_18" + "State_49_16" + "State_43_37" + "State_47_50" + "State_29_39" + "State_14_6" + "State_6_27" + "State_26_4" + "State_35_23" + "State_30_22" + "State_9_3" + "State_6_9" + "State_0_4" + "State_26_42" + "State_15_15" + "State_46_48" + "State_40_9" + "State_44_47" + "State_30_14" + "State_42_7" + "State_16_5" + "State_29_26" + "State_46_39" + "State_3_42" + "State_10_0" + "State_50_8" + "State_34_10" + "State_26_31" + "State_48_43" + "State_18_37" + "State_7_23" + "State_38_0" + "State_35_41" + "State_39_44" + "State_37_12" + "State_12_4" + "State_25_24" + "State_40_33" + "State_11_39" + "State_14_47" + "State_38_30" + "State_48_37" + "State_31_0" + "State_1_20" + "State_14_4" + "State_7_6" + "State_38_11" + "State_9_36" + "State_39_24" + "State_30_46" + "State_28_32" + "State_6_41" + "State_10_30" + "State_47_9" + "State_40_16" + "State_30_12" + "State_39_45" + "State_19_16" + "State_12_20" + "State_34_38" + "State_17_7" + "State_23_43" + "State_43_30" + "State_32_35" + "State_36_8" + "State_18_39" + "State_9_26" + "State_8_1" + "State_15_35" + "State_38_40" + "State_0_6" + "State_37_46" + "State_48_44" + "State_31_18" + "State_39_12" + "State_33_20" + "State_46_45" + "State_4_46" + "State_21_6" + "State_26_34" + "State_37_3" + "State_23_49" + "State_40_34" + "State_0_47" + "State_49_47" + "State_5_37" + "State_35_6" + "State_1_14" + "State_49_43" + "State_8_24" + "State_11_48" + "State_20_27" + "State_16_0" + "State_16_20" + "State_28_8" + "State_33_15" + "State_28_47" + "State_9_5" + "State_3_25" + "State_50_35" + "State_22_19" + "State_28_6" + "State_21_29" + "State_42_6" + "State_32_48" + "State_36_26" + "State_46_42" + "State_46_21" + "State_24_46" + "State_36_17" + "State_19_8" + "State_13_9" + "State_47_28" + "State_12_24" + "State_39_16" + "State_12_42" + "State_29_11" + "State_30_5" + "State_9_35" + "State_45_43" + "State_24_30" + "State_16_13" + "State_15_40" + "State_40_23" + "State_34_18" + "State_13_32" + "State_37_26" + "State_40_11" + "State_11_38" + "State_9_49" + "State_29_30" + "State_43_15" + "State_43_27" + "State_42_20" + "State_24_22" + "State_10_25" + "State_5_36" + "State_31_7" + "State_6_38" + "State_30_40" + "State_14_35" + "State_5_15" + "State_35_8" + "State_31_14" + "State_25_42" + "State_17_24" + "State_13_18" + "State_0_43" + "State_30_24" + "State_24_5" + "State_10_12" + "State_5_50" + "State_45_22" + "State_49_41" + "State_15_1" + "State_15_22" + "State_44_5" + "State_30_0" + "State_19_19" + "State_34_13" + "State_30_39" + "State_10_14" + "State_1_46" + "State_17_12" + "State_30_19" + "State_27_9" + "State_20_9" + "State_36_27" + "State_34_27" + "State_10_39" + "State_11_20" + "State_19_39" + "State_12_33" + "State_0_49" + "State_40_4" + "State_19_37" + "State_48_12" + "State_50_27" + "State_8_10" + "State_22_44" + "State_46_14" + "State_50_25" + "State_20_32" + "State_31_2" + "State_1_10" + "State_24_45" + "State_34_37" + "State_24_7" + "State_45_7" + "State_38_2" + "State_43_40" + "State_46_34" + "State_17_14" + "State_38_7" + "State_2_35" + "State_35_32" + "State_43_1" + "State_20_44" + "State_28_21" + "State_24_15" + "State_1_16" + "State_20_2" + "State_45_2" + "State_49_29" + "State_25_17" + "State_21_40" + "State_2_0" + "State_31_23" + "State_36_22" + "State_4_27" + "State_25_0" + "State_27_32" + "State_37_19" + "State_14_36" + "State_44_42" + "State_25_13" + "State_1_41" + "State_24_12" + "State_18_19" + "State_29_43" + "State_21_41" + "State_6_2" + "State_20_34" + "State_29_27" + "State_25_39" + "State_6_20" + "State_28_35" + "State_29_17" + "State_2_45" + "State_26_37" + "State_38_21" + "State_19_44" + "State_3_23" + "State_21_47" + "State_24_2" + "State_30_50" + "State_26_33" + "State_39_14" + "State_10_16" + "State_46_26" + "State_48_16" + "State_8_26" + "State_43_49" + "State_1_8" + "State_49_32" + "State_4_34" + "State_47_11" + "State_43_13" + "State_37_5" + "State_25_44" + "State_48_6" + "State_0_21" + "State_38_25" + "State_12_44" + "State_39_48" + "State_4_7" + "State_41_18" + "State_23_22" + "State_15_31" + "State_23_35" + "State_48_41" + "State_48_19" + "State_44_50" + "State_39_21" + "State_39_39" + "State_27_26" + "State_44_28" + "State_35_24" + "State_1_47" + "State_19_50" + "State_3_12" + "State_15_0" + "State_31_20" + "State_31_40" + "State_26_41" + "State_5_22" + "State_40_24" + "State_39_38" + "State_27_22" + "State_29_44" + "State_29_47" + "State_47_44" + "State_0_19" + "State_30_1" + "State_27_50" + "State_5_11" + "State_41_16" + "State_47_38" + "State_42_10" + "State_36_36" + "State_42_18" + "State_38_5" + "State_6_22" + "State_19_11" + "State_41_33" + "State_4_23" + "State_46_22" + "State_42_35" + "State_1_40" + "State_27_31" + "State_25_38" + "State_23_27" + "State_12_37" + "State_29_46" + "State_27_16" + "State_32_31" + "State_34_1" + "State_18_26" + "State_15_13" + "State_38_19" + "State_29_28" + "State_24_14" + "State_39_4" + "State_35_29" + "State_38_14" + "State_37_43" + "State_50_36" + "State_28_17" + "State_27_43" + "State_15_8" + "State_38_12" + "State_33_45" + "State_36_50" + "State_0_15" + "State_6_13" + "State_35_10" + "State_13_23" + "State_14_18" + "State_8_8" + "State_13_4" + "State_44_8" + "State_32_34" + "State_17_3" + "State_39_0" + "State_7_9" + "State_5_39" + "State_5_38" + "State_23_18" + "State_18_7" + "State_9_46" + "State_2_1" + "State_6_29" + "State_24_28" + "State_20_1" + "State_34_6" + "State_35_37" + "State_21_15" + "State_12_32" + "State_16_42" + "State_22_8" + "State_1_43" + "State_16_17" + "State_31_48" + "State_7_24" + "State_41_36" + "State_50_32" + "State_5_18" + "State_28_10" + "State_10_45" + "State_20_6" + "State_24_40" + "State_21_10" + "State_14_15" + "State_11_7" + "State_7_30" + "State_38_47" + "State_25_25" + "State_34_16" + "State_38_46" + "State_7_15" + "State_6_6" + "State_18_46" + "State_33_38" + "State_34_20" + "State_44_0" + "State_34_40" + "State_45_19" + "State_37_48" + "State_15_49" + "State_13_42" + "State_38_45" + "State_48_9" + "State_12_11" + "State_26_13" + "State_41_47" + "State_37_42" + "State_45_24" + "State_23_31" + "State_50_44" + "State_40_44" + "State_21_50" + "State_2_24" + "State_12_9" + "State_22_36" + "State_28_26" + "State_47_17" + "State_29_8" + "State_20_16" + "State_36_32" + "State_46_17" + "State_24_29" + "State_35_30" + "State_37_49" + "State_11_2" + "State_20_38" + "State_6_47" + "State_29_12" + "State_11_21" + "State_8_50" + "State_9_43" + "State_11_19" + "State_33_11" + "State_24_3" + "State_2_37" + "State_14_27" + "State_41_25" + "State_32_23" + "State_49_10" + "State_47_39" + "State_10_5" + "State_43_46" + "State_27_33" + "State_26_9" + "State_49_30" + "State_12_13" + "State_41_50" + "State_1_29" + "State_37_35" + "State_34_9" + "State_22_0" + "State_11_4" + "State_27_36" + "State_7_1" + "State_2_14" + "State_26_11" + "State_11_5" + "State_30_7" + "State_27_24" + "State_15_47" + "State_12_38" + "State_9_10" + "State_27_20" + "State_14_20" + "State_21_30" + "State_43_23" + "State_18_12" + "State_28_12" + "State_41_20" + "State_18_48" + "State_31_39" + "State_4_49" + "State_20_35" + "State_38_26" + "State_33_47" + "State_19_38" + "State_19_45" + "State_2_50" + "State_0_36" + "State_37_1" + "State_35_3" + "State_29_5" + "State_29_29" + "State_34_43" + "State_49_37" + "State_24_34" + "State_20_47" + "State_14_46" + "State_0_10" + "State_49_8" + "State_14_49" + "State_20_33" + "State_23_2" + "State_47_45" + "State_37_2" + "State_18_14" + "State_18_4" + "State_25_49" + "State_1_30" + "State_16_1" + "State_35_15" + "State_43_5" + "State_2_28" + "State_19_13" + "State_43_0" + "State_30_23" + "State_10_26" + "State_26_45" + "State_31_35" + "State_8_36" + "State_0_41" + "State_1_44" + "State_16_22" + "State_44_1" + "State_1_5" + "State_5_13" + "State_34_35" + "State_4_0" + "State_42_49" + "State_4_5" + "State_13_33" + "State_47_14" + "State_16_43" + "State_37_17" + "State_27_11" + "State_15_5" + "State_27_1" + "State_44_7" + "State_28_15" + "State_44_45" + "State_35_43" + "State_14_10" + "State_24_39" + "State_35_12" + "State_26_38" + "State_11_37" + "State_1_33" + "State_29_19" + "State_10_7" + "State_46_47" + "State_16_40" + "State_1_48" + "State_29_41" + "State_42_37" + "State_19_29" + "State_15_6" + "State_24_20" + "State_14_3" + "State_18_41" + "State_21_4" + "State_47_29" + "State_50_43" + "State_28_36" + "State_17_26" + "State_18_21" + "State_29_33" + "State_23_42" + "State_38_39" + "State_9_14" + "State_17_34" + "State_43_32" + "State_45_3" + "State_35_49" + "State_3_32" + "State_10_41" + "State_22_20" + "State_42_12" + "State_21_32" + "State_37_45" + "State_4_12" + "State_6_42" + "State_17_43" + "State_7_3" + "State_5_7" + "State_13_25" + "State_33_18" + "State_20_19" + "State_32_14" + "State_44_27" + "State_16_45" + "State_17_35" + "State_5_27" + "State_48_1" + "State_48_35" + "State_42_44" + "State_12_31" + "State_21_9" + "State_6_35" + "State_34_29" + "State_35_26" + "State_23_25" + "State_10_48" + "State_12_27" + "State_9_24" + "State_1_6" + "State_29_6" + "State_2_23" + "State_35_9" + "State_3_41" + "State_22_27" + "State_9_31" + "State_49_21" + "State_42_36" + "State_46_4" + "State_4_25" + "State_19_7" + "State_32_49" + "State_22_50" + "State_27_45" + "State_34_34" + "State_8_15" + "State_50_42" + "State_39_9" + "State_12_16" + "State_22_39" + "State_43_34" + "State_40_38" + "State_31_25" + "State_4_30" + "State_45_26" + "State_46_2" + "State_41_17" + "State_35_22" + "State_12_22" + "State_33_13" + "State_19_33" + "State_45_35" + "State_11_50" + "State_19_1" + "State_41_10" + "State_32_37" + "State_18_9" + "State_11_9" + "State_37_14" + "State_27_10" + "State_34_17" + "State_47_1" + "State_0_26" + "State_13_39" + "State_44_39" + "State_12_23" + "State_17_39" + "State_22_10" + "State_16_3" + "State_5_23" + "State_42_31" + "State_21_2" + "State_36_41" + "State_49_20" + "State_22_23" + "State_26_22" + "State_28_4" + "State_50_0" + "State_9_30" + "State_20_37" + "State_19_6" + "State_4_18" + "State_49_12" + "State_24_31" + "State_36_43" + "State_3_22" + "State_40_25" + "State_20_26" + "State_49_15" + "State_27_17" + "State_23_40" + "State_42_32" + "State_17_22" + "State_32_39" + "State_24_19" + "State_39_41" + "State_47_33" + "State_10_19" + "State_42_3" + "State_5_42" + "State_10_33" + "State_18_38" + "State_26_43" + "State_50_38" + "State_2_39" + "State_16_39" + "State_32_44" + "State_25_34" + "State_17_19" + "State_31_19" + "State_49_5" + "State_4_13" + "State_33_32" + "State_3_2" + "State_19_4" + "State_50_30" + "State_15_27" + "State_13_11" + "State_40_48" + "State_13_40" + "State_26_6" + "State_49_50" + "State_21_28" + "State_9_44" + "State_11_36" + "State_21_21" + "State_33_25" + "State_40_2" + "State_32_5" + "State_39_26" + "State_23_14" + "State_25_26" + "State_24_42" + "State_7_49" + "State_35_31" + "State_28_16" + "State_4_11" + "State_37_38" + "State_20_24" + "State_48_24" + "State_46_41" + "State_8_43" + "State_8_41" + "State_28_22" + "State_41_39" + "State_1_28" + "State_3_14" + "State_45_31" + "State_3_37" + "State_50_23" + "State_32_30" + "State_14_44" + "State_9_45" + "State_32_42" + "State_39_42" + "State_35_21" + "State_29_37" + "State_48_48" + "State_47_13" + "State_14_2" + "State_40_42" + "State_4_44" + "State_49_28" + "State_44_40" + "State_21_8" + "State_40_21" + "State_42_16" + "State_39_5" + "State_41_11" + "State_36_10" + "State_4_32" + "State_35_36" + "State_25_3" + "State_6_43" + "State_3_20" + "State_5_40" + "State_32_2" + "State_50_10" + "State_33_40" + "State_46_19" + "State_38_4" + "State_14_28" + "State_4_48" + "State_40_13" + "State_41_37" + "State_44_3" + "State_27_30" + "State_4_45" + "State_7_8" + "State_1_35" + "State_38_24" + "State_47_6" + "State_31_46" + "State_36_12" + "State_42_5" + "State_32_28" + "State_19_12" + "State_36_1" + "State_16_6" + "State_44_29" + "State_22_49" + "State_6_46" + "State_12_25" + "State_1_9" + "State_39_50" + "State_18_18" + "State_49_46" + "State_8_34" + "State_41_8" + "State_45_27" + "State_29_9" + "State_45_48" + "State_2_19" + "State_25_43" + "State_46_18" + "State_25_18" + "State_28_41" + "State_38_33" + "State_20_7" + "State_11_27" + "State_16_46" + "State_16_29" + "State_32_18" + "State_28_33" + "State_0_33" + "State_34_8" + "State_16_36" + "State_45_1" + "State_46_33" + "State_20_25" + "State_47_43" + "State_10_37" + "State_23_0" + "State_37_30" + "State_37_44" + "State_37_6" + "State_26_14" + "State_11_18" + "State_33_14" + "State_48_33" + "State_18_13" + "State_35_20" + "State_44_20" + "State_30_20" + "State_40_49" + "State_5_25" + "State_41_13" + "State_13_20" + "State_42_28" + "State_13_7" + "State_35_17" + "State_9_38" + "State_45_45" + "State_18_34" + "State_47_20" + "State_6_3" + "State_45_38" + "State_35_11" + "State_21_33" + "State_11_28" + "State_43_47" + "State_42_11" + "State_46_40" + "State_20_48" + "State_32_40" + "State_4_14" + "State_16_27" + "State_13_2" + "State_50_50" + "State_5_0" + "State_44_32" + "State_38_41" + "State_22_30" + "State_3_5" + "State_50_47" + "State_34_36" + "State_48_26" + "State_26_35" + "State_41_40" + "State_37_29" + "State_45_39" + "State_21_5" + "State_50_12" + "State_14_42" + "State_22_32" + "State_6_8" + "State_18_40" + "State_10_24" + "State_25_36" + "State_12_21" + "State_41_44" + "State_49_36" + "State_29_50" + "State_8_45" + "State_44_14" + "State_7_21" + "State_27_38" + "State_9_6" + "State_9_29" + "State_9_48" + "State_10_23" + "State_4_17" + "State_33_23" + "State_17_45" + "State_11_26" + "State_18_17" + "State_2_27" + "State_21_46" + "State_36_38" + "State_21_36" + "State_1_4" + "State_33_8" + "State_5_17" + "State_43_6" + "State_21_35" + "State_45_9" + "State_48_17" + "State_33_0" + "State_14_5" + "State_49_35" + "State_42_0" + "State_47_4" + "State_6_26" + "State_15_42" + "State_38_23" + "State_4_31" + "State_41_12" + "State_13_41" + "State_24_23" + "State_32_50" + "State_19_17" + "State_36_15" + "State_13_16" + "State_13_10" + "State_34_3" + "State_50_49" + "State_32_43" + "State_2_48" + "State_27_44" + "State_16_35" + "State_11_32" + "State_22_15" + "State_32_47" + "State_26_21" + "State_11_35" + "State_50_15" + "State_50_5" + "State_18_22" + "State_7_44" + "State_6_34" + "State_4_22" + "State_19_41" + "State_22_2" + "State_19_20" + "State_29_48" + "State_12_49" + "State_12_5" + "State_14_39" + "State_34_32" + "State_22_42" + "State_11_33" + "State_41_32" + "State_49_25" + "State_25_11" + "State_15_34" + "State_0_37" + "State_7_11" + "State_39_28" + "State_18_43" + "State_7_39" + "State_32_19" + "State_46_9" + "State_14_50" + "State_15_16" + "State_36_20" + "State_26_29" + "State_27_6" + "State_24_36" + "State_48_21" + "State_0_9" + "State_12_12" + "State_8_20" + "State_36_7" + "State_0_35" + "State_32_27" + "State_14_40" + "State_13_44" + "State_3_29" + "State_46_24" + "State_3_33" + "State_32_24" + "State_40_39" + "State_50_29" + "State_48_2" + "State_9_1" + "State_21_7" + "State_25_40" + "State_31_42" + "State_0_1" + "State_48_25" + "State_37_41" + "State_0_25" + "State_45_41" + "State_46_13" + "State_28_37" + "State_50_48" + "State_48_15" + "State_31_5" + "State_34_26" + "State_40_37" + "State_32_13" + "State_21_37" + "State_26_47" + "State_45_42" + "State_42_40" + "State_10_32" + "State_41_49" + "State_46_1" + "State_26_18" + "State_34_21" + "State_18_6" + "State_44_31" + "State_23_24" + "State_20_17" + "State_25_22" + "State_14_11" + "State_36_14" + "State_2_15" + "State_25_27" + "State_4_16" + "State_46_27" + "State_11_22" + "State_43_36" + "State_4_2" + "State_27_47" + "State_30_10" + "State_44_35" + "State_15_14" + "State_9_12" + "State_37_24" + "State_29_42" + "State_5_34" + "State_29_4" + "State_33_34" + "State_4_19" + "State_32_11" + "State_28_1" + "State_18_1" + "State_45_28" + "State_38_9" + "State_24_44" + "State_30_25" + "State_16_8" + "State_20_15" + "State_12_30" + "State_27_21" + "State_49_42" + "State_24_41" + "State_39_18" + "State_4_28" + "State_39_43" + "State_42_8" + "State_24_50" + "State_12_48" + "State_10_10" + "State_13_8" + "State_44_6" + "State_17_18" + "State_19_26" + "State_29_2" + "State_29_7" + "State_3_10" + "State_27_13" + "State_45_29" + "State_22_48" + "State_38_38" + "State_39_35" + "State_22_46" + "State_0_40" + "State_12_26" + "State_39_40" + "State_23_19" + "State_1_32" + "State_32_0" + "State_19_9" + "State_8_47" + "State_47_2" + "State_32_46" + "State_24_32" + "State_23_34" + "State_11_40" + "State_13_21" + "State_14_0" + "State_26_17" + "State_0_38" + "State_39_33" + "State_40_5" + "State_27_15" + "State_10_9" + "State_41_21" + "State_9_19" + "State_23_8" + "State_3_36" + "State_41_5" + "State_9_15" + "State_7_31" + "State_8_14" + "State_13_13" + "State_7_43" + "State_47_41" + "State_18_24" + "State_3_18" + "State_41_27" + "State_40_17" + "State_1_45" + "State_37_10" + "State_50_46" + "State_39_2" + "State_15_32" + "State_31_29" + "State_44_19" + "State_16_41" + "State_49_44" + "State_12_3" + "State_17_28" + "State_50_20" + "State_18_33" + "State_27_49" + "State_36_6" + "State_30_4" + "State_10_27" + "State_9_47" + "State_47_26" + "State_50_37" + "State_5_26" + "State_7_45" + "State_19_10" + "State_40_3" + "State_30_9" + "State_14_31" + "State_29_10" + "State_33_39" + "State_4_24" + "State_48_0" + "State_12_7" + "State_26_28" + "State_3_27" + "State_32_8" + "State_10_4" + "State_22_33" + "State_8_6" + "State_13_17" + "State_32_1" + "State_5_46" + "State_17_48" + "State_2_12" + "State_17_38" + "State_48_38" + "State_14_16" + "State_33_36" + "State_39_23" + "State_3_17" + "State_30_2" + "State_42_50" + "State_26_25" + "State_46_8" + "State_11_43" + "State_35_27" + "State_7_16" + "State_39_7" + "State_28_9" + "State_35_45" + "State_8_46" + "State_2_4" + "State_34_14" + "State_31_33" + "State_30_15" + "State_6_21" + "State_10_44" + "State_17_31" + "State_25_23" + "State_1_22" + "State_34_46" + "State_14_45" + "State_47_10" + "State_30_30" + "State_43_16" + "State_23_41" + "State_4_1" + "State_37_7" + "State_43_11" + "State_39_8" + "State_8_29" + "State_40_28" + "State_42_48" + "State_7_48" + "State_6_30" + "State_43_17" + "State_3_19" + "State_40_47" + "State_17_6" + "State_45_14" + "State_15_21" + "State_2_32" + "State_47_22" + "State_29_35" + "State_10_38" + "State_2_10" + "State_25_31" + "State_11_23" + "State_18_35" + "State_5_14" + "State_2_40" + "State_40_18" + "State_23_9" + "State_36_16" + "State_33_12" + "State_35_47" + "State_41_0" + "State_31_28" + "State_30_41" + "State_3_46" + "State_42_39" + "State_46_7" + "State_36_29" + "State_44_43" + "State_21_25" + "State_34_22" + "State_19_3" + "State_22_29" + "State_38_10" + "State_41_46" + "State_22_5" + "State_10_17" + "State_11_12" + "State_24_27" + "State_38_44" + "State_24_49" + "State_12_40" + "State_40_30" + "State_15_11" + "State_35_44" + "State_25_20" + "State_25_14" + "State_3_28" + "State_3_13" + "State_13_36" + "State_13_5" + "State_39_31" + "State_42_45" + "State_6_25" + "State_45_47" + "State_12_28" + "State_11_30" + "State_26_3" + "State_8_35" + "State_29_24" + "State_15_25" + "State_19_30" + "State_48_22" + "State_2_44" + "State_34_0" + "State_50_17" + "State_47_3" + "State_47_35" + "State_30_31" + "State_16_9" + "State_33_37" + "State_23_4" + "State_37_15" + "State_47_30" + "State_26_36" + "State_33_3" + "State_5_3" + "State_10_13" + "State_12_18" + "State_1_37" + "State_41_23" + "State_49_13" + "State_37_9" + "State_28_38" + "State_49_17" + "State_5_8" + "State_17_40" + "State_6_0" + "State_0_20" + "State_44_34" + "State_47_40" + "State_26_19" + "State_48_42" + "State_13_0" + "State_49_2" + "State_4_39" + "State_36_35" + "State_28_14" + "State_14_8" + "State_33_31" + "State_28_13" + "State_14_48" + "State_1_42" + "State_5_19" + "State_40_27" + "State_30_49" + "State_24_1" + "State_41_26" + "State_25_41" + "State_28_7" + "State_20_30" + "State_27_0" + "State_19_40" + "State_40_32" + "State_1_15" + "State_4_43" + "State_26_26" + "State_21_38" + "State_17_29" + "State_44_12" + "State_44_16" + "State_13_49" + "State_8_42" + "State_50_26" + "State_9_9" + "State_24_43" + "State_45_32" + "State_46_35" + "State_29_25" + "State_48_20" + "State_50_39" + "State_5_21" + "State_6_36" + "State_34_45" + "State_6_39" + "State_47_27" + "State_34_30" + "State_11_13" + "State_31_13" + "State_5_20" + "State_11_47" + "State_16_14" + "State_21_34" + "State_8_7" + "State_11_31" + "State_35_14" + "State_20_10" + "State_15_19" + "State_37_4" + "State_3_7" + "State_28_2" + "State_31_32" + "State_44_4" + "State_9_32" + "State_36_33" + "State_43_25" + "State_49_0" + "State_21_17" + "State_20_12" + "State_29_45" + "State_5_41" + "State_17_33" + "State_17_47" + "State_1_24" + "State_26_16" + "State_21_48" + "State_2_9" + "State_10_1" + "State_16_38" + "State_7_0" + "State_22_26" + "State_19_46" + "State_42_42" + "State_26_40" + "State_18_27" + "State_35_2" + "State_50_33" + "State_25_29" + "State_2_49" + "State_43_39" + "State_43_38" + "State_19_15" + "State_46_25" + "State_7_34" + "State_45_33" + "State_40_26" + "State_43_19" + "State_32_3" + "State_5_16" + "State_20_0" + "State_50_34" + "State_2_30" + "State_24_8" + "State_38_1" + "State_40_0" + "State_22_7" + "State_21_42" + "State_1_39" + "State_43_24" + "State_15_44" + "State_0_13" + "State_33_16" + "State_21_14" + "State_41_48" + "State_38_13" + "State_16_34" + "State_17_4" + "State_48_28" + "State_4_50" + "State_30_38" + "State_20_20" + "State_35_16" + "State_24_21" + "State_40_22" + "State_1_50" + "State_44_36" + "State_48_10" + "State_16_44" + "State_17_27" + "State_33_26" + "State_25_30" + "State_45_6" + "State_45_18" + "State_21_44" + "State_23_50" + "State_38_18" + "State_36_45" + "State_33_43" + "State_30_48" + "State_33_19" + "State_24_11" + "State_47_15" + "State_6_11" + "State_42_2" + "State_16_32" + "State_23_32" + "State_6_40" + "State_34_25" + "State_14_14" + "State_17_1" + "State_21_13" + "State_15_7" + "State_33_22" + "State_34_11" + "State_44_37" + "State_30_13" + "State_14_41" + "State_4_26" + "State_32_25" + "State_7_38" + "State_39_29" + "State_31_41" + "State_9_4" + "State_20_43" + "State_36_4" + "State_18_10" + "State_11_10" + "State_34_28" + "State_14_21" + "State_33_49" + "State_0_29" + "State_9_28" + "State_28_29" + "State_39_37" + "State_1_12" + "State_37_36" + "State_23_36" + "State_32_10" + "State_29_15" + "State_25_10" + "State_41_34" + "State_23_33" + "State_39_6" + "State_2_31" + "State_36_31" + "State_7_25" + "State_23_28" + "State_5_43" + "State_3_9" + "State_49_23" + "State_19_43" + "State_47_31" + "State_26_0" + "State_36_23" + "State_28_20" + "State_3_30" + "State_11_17" + "State_10_49" + "State_36_9" + "State_33_46" + "State_12_50" + "State_22_31" + "State_2_33" + "State_22_4" + "State_38_15" + "State_15_39" + "State_42_21" + "State_8_37" + "State_43_9" + "State_47_7" + "State_42_46" + "State_7_42" + "State_48_30" + "State_40_46" + "State_17_23" + "State_10_15" + "State_31_22" + "State_27_12" + "State_34_50" + "State_46_10" + "State_46_36" + "State_31_1" + "State_40_50" + "State_14_25" + "State_8_4" + "State_9_11" + "State_18_36" + "State_34_42" + "State_24_47" + "State_47_46" + "State_8_33" + "State_20_18" + "State_13_3" + "State_2_11" + "State_2_41" + "State_36_34" + "State_4_3" + "State_37_47" + "State_10_47" + "State_48_18" + "State_26_1" + "State_10_22" + "State_31_30" + "State_25_6" + "State_30_37" + "State_5_5" + "State_27_34" + "State_16_31" + "State_39_10" + "State_19_49" + "State_12_17" + "State_32_6" + "State_20_28" + "State_15_24" + "State_9_40" + "State_21_24" + "State_22_37" + "State_37_50" + "State_13_26" + "State_30_42" + "State_20_40" + "State_31_4" + "State_12_0" + "State_3_4" + "State_43_12" + "State_8_23" + "State_25_21" + "State_16_11" + "State_33_21" + "State_34_47" + "State_43_44" + "State_9_50" + "State_48_13" + "State_10_43" + "State_22_9" + "State_35_0" + "State_6_45" + "State_11_41" + "State_25_16" + "State_43_45" + "State_6_14" + "State_13_46" + "State_20_39" + "State_11_29" + "State_34_12" + "State_42_25" + "State_35_38" + "State_42_17" + "State_3_1" + "State_18_25" + "State_46_32" + "State_18_47" + "State_27_27" + "State_2_13" + "State_40_8" + "State_39_30" + "State_49_4" + "State_38_35" + "State_3_24" + "State_21_23" + "State_31_8" + "State_32_32" + "State_32_36" + "State_11_46" + "State_37_28" + "State_41_3" + "State_46_3" + "State_27_18" + "State_15_2" + "State_30_44" + "State_17_32" + "State_2_2" + "State_16_2" + "State_39_15" + "State_8_32" + "State_42_29" + "State_49_31" + "State_12_10" + "State_43_14" + "State_18_49" + "State_26_50" + "State_41_22" + "State_26_27" + "State_49_34" + "State_8_48" + "State_45_4" + "State_25_15" + "State_2_17" + "State_11_6" + "State_50_14" + "State_37_40" + "State_29_13" + "State_50_22" + "State_31_43" + "State_23_44" + "State_38_3" + "State_15_45" + "State_19_5" + "State_48_47" + "State_23_7" + "State_1_13" + "State_20_22" + "State_32_15" + "State_4_8" + "State_34_7" + "State_35_34" + "State_7_12" + "State_9_33" + "State_1_2" + "State_20_46" + "State_41_43" + "State_23_11" + "State_19_48" + "State_17_30" + "State_42_34" + "State_47_49" + "State_9_37" + "State_24_35" + "State_0_27" + "State_31_9" + "State_18_15" + "State_31_3" + "State_19_22" + "State_27_3" + "State_26_24" + "State_23_37" + "State_15_29" + "State_19_47" + "State_46_6" + "State_9_27" + "State_49_38" + "State_22_38" + "State_32_26" + "State_4_4" + "State_14_19" + "State_21_12" + "State_14_12" + "State_7_20" + "State_46_15" + "State_44_41" + "State_13_34" + "State_38_20" + "State_20_5" + "State_2_16" + "State_28_45" + "State_0_12" + "State_33_29" + "State_44_33" + "State_45_8" + "State_27_7" + "State_39_49" + "State_30_27" + "State_25_1" + "State_7_41" + "State_16_23" + "State_15_4" + "State_16_47" + "State_30_11" + "State_8_9" + "State_37_18" + "State_5_31" + "State_11_49" + "State_35_25" + "State_45_20" + "State_14_29" + "State_21_0" + "State_28_18" + "State_48_46" + "State_38_29" + "State_41_7" + "State_16_33" + "State_32_17" + "State_28_34" + "State_49_39" + "State_2_7" + "State_15_38" + "State_9_7" + "State_47_42" + "State_29_49" + "State_20_13" + "State_44_23" + "State_33_35" + "State_26_10" + "State_18_3" + "State_8_31" + "State_5_10" + "State_13_14" + "State_10_34" + "State_48_27" + "State_13_43" + "State_39_32" + "State_30_33" + "State_44_24" + "State_6_16" + "State_29_38" + "State_47_48" + "State_19_27" + "State_27_2" + "State_39_46" + "State_43_21" + "State_33_5" + "State_23_26" + "State_4_41" + "State_9_18" + "State_28_30" + "State_39_1" + "State_37_33" + "State_32_22" + "State_50_31" + "State_39_13" + "State_35_48" + "State_42_26" + "State_5_49" + "State_31_26" + "State_19_35" + "State_16_24" + "State_22_41" + "State_38_43" + "State_2_38" + "State_25_37" + "State_23_39" + "State_27_23" + "State_5_35" + "State_28_48" + "State_0_34" + "State_10_3" + "State_33_17" + "State_10_35" + "State_6_28" + "State_49_26" + "State_28_25" + "State_9_16" + "State_11_1" + "State_16_19" + "State_48_5" + "State_2_20" + "State_34_5" + "State_17_20" + "State_20_29" + "State_2_42" + "State_26_39" + "State_9_39" + "State_17_9" + "State_31_24" + "State_38_49" + "State_26_12" + "State_35_39" + "State_11_15" + "State_25_19" + "State_31_10" + "State_5_29" + "State_3_21" + "State_17_42" + "State_40_10" + "State_28_3" + "State_16_16" + "State_1_38" + "State_44_9" + "State_44_48" + "State_10_29" + "State_33_44" + "State_19_31" + "State_5_33" + "State_8_49" + "State_46_23" + "State_21_26" + "State_42_30" + "State_40_43" + "State_42_47" + "State_26_44" + "State_44_11" + "State_50_41" + "State_17_21" + "State_0_18" + "State_37_13" + "State_10_6" + "State_31_50" + "State_8_17" + "State_42_19" + "State_6_5" + "State_48_7" + "State_23_47" + "State_38_37" + "State_33_42" + "State_4_15" + "State_38_28" + "State_8_38" + "State_17_10" + "State_4_21" + "State_31_16" + "State_47_5" + "State_41_35" + "State_39_27" + "State_7_14" + "State_1_34" + "State_8_27" + "State_15_28" + "State_40_41" + "State_29_32" + "State_35_4" + "State_2_22" + "State_45_37" + "State_36_21" + "State_45_36" + "State_3_26" + "State_0_45" + "State_46_31" + "State_45_21" + "State_33_27" + "State_7_28" + "State_47_25" + "State_35_40" + "State_32_4" + "State_18_0" + "State_27_42" + "State_27_14" + "State_0_14" + "State_32_21" + "State_14_30" + "State_44_44" + "State_47_18" + "State_37_23" + "State_49_24" + "State_49_27" + "State_28_40" + "State_8_11" + "State_46_46" + "State_12_39" + "State_9_22" + "State_38_16" + "State_46_38" + "State_14_7" + "State_17_11" + "State_7_32" + "State_6_19" + "State_24_6" + "State_24_16" + "State_28_31" + "State_19_34" + "State_38_32" + "State_19_18" + "State_18_8" + "State_31_37" + "State_10_18" + "State_42_9" + "State_45_30" + "State_1_17" + "State_50_2" + "State_3_11" + "State_25_8" + "State_48_40" + "State_8_21" + "State_37_11" + "State_42_4" + "State_45_50" + "State_13_48" + "State_2_47" + "State_1_7" + "State_25_4" + "State_7_2" + "State_3_45" + "State_45_25" + "State_0_48" + "State_0_2" + "State_34_19" + "State_6_24" + "State_33_41" + "State_9_23" + "State_18_23" + "State_3_3" + "State_36_2" + "State_43_42" + "State_44_13" + "State_11_0" + "State_6_1" + "State_16_37" + "State_45_16" + "State_39_22" + "State_25_46" + "State_49_7" + "State_38_34" + "State_48_45" + "State_17_50" + "State_45_10" + "State_49_9" + "State_35_46" + "State_25_47" + "State_23_1" + "State_24_25" + "State_10_28" + "State_43_41" + "State_50_40" + "State_41_31" + "State_20_42" + "State_29_34" + "State_1_49" + "State_31_21" + "State_11_8" + "State_24_26" + "State_50_11" + "State_31_36" + "State_21_3" + "State_34_33" + "State_15_33" + "State_49_19" + "State_1_36" + "State_47_23" + "State_28_46" + "State_26_15" + "State_6_50" + "State_38_31" + "State_33_33" + "State_29_0" + "State_22_21" + "State_46_49" + "State_15_36" + "State_18_32" + "State_36_0" + "State_22_17" + "State_38_27" + "State_34_24" + "State_7_26" + "State_17_16" + "State_4_9" + "State_5_4" + "State_40_6" + "State_42_14" + "State_0_46" + "State_31_17" + "State_37_16" + "State_8_39" + "State_4_36" + "State_15_17" + "State_36_49" + "State_10_42" + "State_19_25" + "State_46_43" + "State_38_6" + "State_23_45" + "State_8_25" + "State_21_49" + "State_17_41" + "State_28_5" + "State_30_35" + "State_13_24" + "State_13_22" + "State_40_40" + "State_48_31" + "State_50_9" + "State_12_1" + "State_46_20" + "State_46_28" + "State_18_20" + "State_8_0" + "State_0_31" + "State_48_8" + "State_5_48" + "State_32_9" + "State_15_37" + "State_26_32" + "State_13_19" + "State_50_6" + "State_38_17" + "State_10_20" + "State_27_35" + "State_13_12" + "State_8_12" + "State_26_23" + "State_34_39" + "State_14_34" + "State_17_36" + "State_32_20" + "State_32_12" + "State_41_30" + "State_43_28" + "State_17_25" + "State_10_46" + "State_25_9" + "State_1_0" + "State_50_19" + "State_35_28" + "State_30_45" + "State_25_12" + "State_7_5" + "State_1_27" + "State_35_7" + "State_13_35" + "State_19_23" + "State_1_25" + "State_35_50" + "State_15_18" + "State_17_46" + "State_18_5" + "State_36_44" + "State_29_18" + "State_27_48" + "State_48_39" + "State_13_45" + "State_6_37" + "State_40_1" + "State_45_40" + "State_30_29" + "State_24_4" + "State_2_29" + "State_18_30" + "State_8_22" + "State_22_22" + "State_23_30" + "State_8_18" + "State_5_6" + "State_49_22" + "State_4_10" + "State_12_41" + "State_36_25" + "State_12_6" + "State_30_43" + "State_28_50" + "State_33_6" + "State_36_48" + "State_47_32" + "State_35_5" + "State_5_44" + "State_49_3" + "State_36_11" + "State_14_17" + "State_12_43" + "State_50_18" + "State_46_12" + "State_36_30" + "State_7_4" + "State_26_7" + "State_42_22" + "State_6_33" + "State_20_45" + "State_43_18" + "State_42_41" + "State_31_11" + "State_24_24" + "State_24_33" + "State_0_0" + "State_49_48" + "State_6_10" + "State_40_7" + "State_46_50" + "State_45_11" + "State_40_15" + "State_27_39" + "State_2_26" + "State_41_45" + "State_31_49" + "State_37_20" + "State_18_31" + "State_23_38" + "State_17_37" + "State_22_12" + "State_17_2" + "State_23_20" + "State_14_26" + "State_22_18" + "State_36_18" + "State_48_29" + "State_41_2" + "State_37_8" + "State_30_8" + "State_43_29" + "State_25_5" + "State_12_29" + "State_8_44" + "State_50_21" + "State_28_28" + "State_9_42" + "State_8_30" + "State_31_31" + "State_23_29" + "State_7_22" + "State_43_43" + "State_48_3" + "State_41_38" + "State_18_28" + "State_23_10" + "State_43_4" + "State_22_1" + "State_16_10" + "State_3_49" + "State_8_28" + "State_30_6" + "State_25_32" + "State_7_36" + "State_12_14" + "State_22_43" + "State_11_3" + "State_4_40" + "State_11_34" + "State_35_33" + "State_2_3" + "State_24_37" + "State_18_44" + "State_22_13" + "State_25_50" + "State_15_50" + "State_31_45" + "State_31_27" + "State_25_28" + "State_12_47" + "State_1_18" + "State_30_32" + "State_3_47" + "State_0_5" + "State_17_15" + "State_15_9" + "State_40_35" + "State_41_41" + "State_37_32" + "State_40_29" + "State_31_47" + "State_2_6" + "State_3_8" + "State_0_3" + "State_27_8" + "State_46_30" + "State_21_18" + "State_19_42" + "State_0_17" + "State_37_25" + "State_23_6" + "State_37_39" + "State_30_3" + "State_29_31" + "State_48_36" + "State_44_21" + "State_5_1" + "State_18_50" + "State_5_47" + "State_47_8" + "State_36_46" + "State_48_34" + "State_22_11" + "State_46_37" + "State_19_14" + "State_6_7" + "State_19_24" + "State_47_0" + "State_16_48" + "State_5_24" + "State_16_26" + "State_26_30" + "State_0_7" + "State_16_49" + "State_4_37" + "State_28_11" + "State_45_15" + "State_15_43" + "State_21_11" + "State_45_17" + "State_26_8" + "State_32_16" + "State_12_8" + "State_41_19" + "State_47_24" + "State_3_16" + "State_43_33" + "State_39_3" + "State_4_33" + "State_26_49" + "State_41_42" + "State_14_33" + "State_17_5" + "State_44_25" + "State_8_2" + "State_35_19" + "State_7_18" + "State_44_2" + "State_8_16" + "State_21_19" + "State_36_13" + "State_3_39" + "State_0_24" + "State_33_48" + "State_33_2" + "State_23_23" + "State_9_13" + "State_25_35" + "State_13_31" + "State_34_31" + "State_39_36" + "State_50_1" + "State_18_42" + "State_11_11" + "State_30_47" + "State_28_39" + "State_23_48" + "State_4_38" + "State_28_19" + "State_8_40" + "State_3_15" + "State_17_8" + "State_20_36" + "State_37_21" + "State_0_44" + "State_50_13" + "State_27_25" + "State_23_16" + "State_16_21" + "State_16_4" + "State_12_15" + "State_7_19" + "State_42_23" + "State_41_24" + "State_49_49" + "State_0_42" + "State_13_30" + "State_39_34" + "State_31_15" + "State_9_34" + "State_33_1" + "State_26_48" + "State_50_7" + "State_35_42" + "State_7_50" + "State_44_49" + "State_28_42" + "State_46_5" + "State_23_13" + "State_42_24" + "State_32_41" + "State_46_44" + "State_14_24" + "State_37_34" + "State_2_36" + "State_33_4" + "State_9_21" + "State_10_2" + "State_30_21" + "State_32_38")) or not((3 <= ("State_27_28" + "State_22_47" + "State_22_45" + "State_9_0" + "State_42_33" + "State_20_3" + "State_48_32" + "State_40_12" + "State_43_22" + "State_45_5" + "State_0_23" + "State_30_18" + "State_4_20" + "State_21_45" + "State_7_46" + "State_34_23" + "State_5_12" + "State_21_31" + "State_31_12" + "State_48_50" + "State_48_14" + "State_27_40" + "State_41_14" + "State_43_3" + "State_28_44" + "State_21_39" + "State_36_47" + "State_2_18" + "State_20_14" + "State_50_45" + "State_36_40" + "State_12_36" + "State_27_46" + "State_46_0" + "State_47_12" + "State_22_14" + "State_26_46" + "State_6_44" + "State_43_50" + "State_41_6" + "State_22_28" + "State_27_4" + "State_3_50" + "State_16_18" + "State_49_11" + "State_14_9" + "State_50_3" + "State_6_17" + "State_33_50" + "State_36_28" + "State_13_28" + "State_33_30" + "State_43_7" + "State_35_18" + "State_18_11" + "State_26_5" + "State_22_3" + "State_45_46" + "State_38_8" + "State_36_5" + "State_44_30" + "State_23_17" + "State_15_23" + "State_29_3" + "State_12_46" + "State_7_35" + "State_32_33" + "State_3_40" + "State_18_29" + "State_6_4" + "State_16_30" + "State_18_16" + "State_38_22" + "State_9_41" + "State_45_12" + "State_3_48" + "State_5_45" + "State_50_28" + "State_34_44" + "State_47_19" + "State_14_22" + "State_33_9" + "State_4_6" + "State_6_48" + "State_11_25" + "State_6_23" + "State_7_33" + "State_0_30" + "State_3_38" + "State_38_50" + "State_34_48" + "State_13_6" + "State_16_7" + "State_2_43" + "State_13_47" + "State_46_11" + "State_20_4" + "State_7_7" + "State_24_48" + "State_29_23" + "State_6_15" + "State_37_37" + "State_34_41" + "State_29_14" + "State_44_10" + "State_31_44" + "State_26_20" + "State_45_44" + "State_7_37" + "State_20_8" + "State_5_9" + "State_40_19" + "State_34_2" + "State_29_20" + "State_39_11" + "State_12_45" + "State_0_22" + "State_39_20" + "State_44_18" + "State_1_23" + "State_19_0" + "State_22_35" + "State_23_21" + "State_12_34" + "State_9_8" + "State_2_34" + "State_3_44" + "State_12_35" + "State_46_16" + "State_9_25" + "State_26_2" + "State_15_20" + "State_2_25" + "State_49_18" + "State_9_2" + "State_44_38" + "State_28_0" + "State_24_9" + "State_41_1" + "State_29_22" + "State_22_16" + "State_35_35" + "State_25_33" + "State_36_3" + "State_2_21" + "State_40_20" + "State_8_13" + "State_49_40" + "State_41_15" + "State_1_26" + "State_49_45" + "State_13_38" + "State_41_9" + "State_24_38" + "State_40_45" + "State_31_38" + "State_10_31" + "State_29_36" + "State_0_11" + "State_27_41" + "State_47_47" + "State_16_25" + "State_9_17" + "State_14_37" + "State_43_31" + "State_34_15" + "State_28_43" + "State_21_43" + "State_22_34" + "State_38_36" + "State_37_0" + "State_7_27" + "State_43_35" + "State_4_29" + "State_11_16" + "State_13_1" + "State_43_48" + "State_35_13" + "State_1_21" + "State_5_2" + "State_36_39" + "State_13_29" + "State_39_19" + "State_47_21" + "State_4_47" + "State_16_12" + "State_6_49" + "State_43_26" + "State_16_15" + "State_38_48" + "State_25_2" + "State_3_35" + "State_4_42" + "State_2_5" + "State_3_6" + "State_41_28" + "State_27_19" + "State_39_17" + "State_14_23" + "State_50_16" + "State_50_4" + "State_47_34" + "State_10_11" + "State_21_27" + "State_19_32" + "State_42_27" + "State_0_39" + "State_32_45" + "State_49_6" + "State_0_32" + "State_24_10" + "State_42_43" + "State_2_46" + "State_6_18" + "State_15_3" + "State_10_36" + "State_17_0" + "State_22_24" + "State_49_33" + "State_48_4" + "State_29_40" + "State_17_49" + "State_1_1" + "State_37_27" + "State_28_27" + "State_35_1" + "State_20_21" + "State_25_7" + "State_7_13" + "State_12_19" + "State_25_48" + "State_10_40" + "State_20_11" + "State_11_24" + "State_0_8" + "State_20_41" + "State_3_34" + "State_41_29" + "State_0_28" + "State_25_45" + "State_45_49" + "State_44_46" + "State_23_12" + "State_1_3" + "State_1_11" + "State_33_24" + "State_42_13" + "State_21_1" + "State_17_44" + "State_45_34" + "State_34_4" + "State_7_40" + "State_29_16" + "State_5_30" + "State_13_50" + "State_2_8" + "State_11_14" + "State_5_28" + "State_17_13" + "State_31_6" + "State_36_19" + "State_15_26" + "State_48_11" + "State_47_36" + "State_44_26" + "State_23_15" + "State_17_17" + "State_27_29" + "State_40_14" + "State_23_46" + "State_5_32" + "State_44_17" + "State_45_13" + "State_3_31" + "State_8_5" + "State_42_1" + "State_48_23" + "State_10_50" + "State_36_42" + "State_28_23" + "State_14_32" + "State_13_15" + "State_38_42" + "State_3_0" + "State_24_17" + "State_7_10" + "State_30_17" + "State_46_29" + "State_30_34" + "State_47_16" + "State_36_37" + "State_0_50" + "State_34_49" + "State_9_20" + "State_3_43" + "State_37_22" + "State_12_2" + "State_14_43" + "State_18_2" + "State_47_37" + "State_30_26" + "State_50_24" + "State_28_24" + "State_43_20" + "State_19_2" + "State_37_31" + "State_14_38" + "State_4_35" + "State_24_0" + "State_29_21" + "State_8_19" + "State_8_3" + "State_21_22" + "State_20_23" + "State_13_37" + "State_39_25" + "State_0_16" + "State_20_50" + "State_14_1" + "State_24_13" + "State_43_2" + "State_42_38" + "State_32_29" + "State_22_40" + "State_40_36" + "State_27_5" + "State_36_24" + "State_19_36" + "State_11_42" + "State_33_10" + "State_11_44" + "State_40_31" + "State_14_13" + "State_32_7" + "State_22_6" + "State_15_48" + "State_41_4" + "State_49_1" + "State_48_49" + "State_15_46" + "State_16_50" + "State_7_47" + "State_33_28" + "State_1_31" + "State_30_36" + "State_43_10" + "State_6_12" + "State_29_1" + "State_11_45" + "State_15_41" + "State_15_10" + "State_45_23" + "State_30_28" + "State_43_8" + "State_27_37" + "State_10_8" + "State_21_20" + "State_31_34" + "State_22_25" + "State_19_21" + "State_23_5" + "State_13_27" + "State_28_49" + "State_15_12" + "State_21_16" + "State_6_31" + "State_16_28" + "State_20_31" + "State_7_29" + "State_15_30" + "State_45_0" + "State_39_47" + "State_42_15" + "State_7_17" + "State_44_15" + "State_33_7" + "State_20_49" + "State_49_14" + "State_23_3" + "State_1_19" + "State_30_16" + "State_18_45" + "State_44_22" + "State_6_32" + "State_10_21" + "State_19_28" + "State_24_18" + "State_49_16" + "State_43_37" + "State_47_50" + "State_29_39" + "State_14_6" + "State_6_27" + "State_26_4" + "State_35_23" + "State_30_22" + "State_9_3" + "State_6_9" + "State_0_4" + "State_26_42" + "State_15_15" + "State_46_48" + "State_40_9" + "State_44_47" + "State_30_14" + "State_42_7" + "State_16_5" + "State_29_26" + "State_46_39" + "State_3_42" + "State_10_0" + "State_50_8" + "State_34_10" + "State_26_31" + "State_48_43" + "State_18_37" + "State_7_23" + "State_38_0" + "State_35_41" + "State_39_44" + "State_37_12" + "State_12_4" + "State_25_24" + "State_40_33" + "State_11_39" + "State_14_47" + "State_38_30" + "State_48_37" + "State_31_0" + "State_1_20" + "State_14_4" + "State_7_6" + "State_38_11" + "State_9_36" + "State_39_24" + "State_30_46" + "State_28_32" + "State_6_41" + "State_10_30" + "State_47_9" + "State_40_16" + "State_30_12" + "State_39_45" + "State_19_16" + "State_12_20" + "State_34_38" + "State_17_7" + "State_23_43" + "State_43_30" + "State_32_35" + "State_36_8" + "State_18_39" + "State_9_26" + "State_8_1" + "State_15_35" + "State_38_40" + "State_0_6" + "State_37_46" + "State_48_44" + "State_31_18" + "State_39_12" + "State_33_20" + "State_46_45" + "State_4_46" + "State_21_6" + "State_26_34" + "State_37_3" + "State_23_49" + "State_40_34" + "State_0_47" + "State_49_47" + "State_5_37" + "State_35_6" + "State_1_14" + "State_49_43" + "State_8_24" + "State_11_48" + "State_20_27" + "State_16_0" + "State_16_20" + "State_28_8" + "State_33_15" + "State_28_47" + "State_9_5" + "State_3_25" + "State_50_35" + "State_22_19" + "State_28_6" + "State_21_29" + "State_42_6" + "State_32_48" + "State_36_26" + "State_46_42" + "State_46_21" + "State_24_46" + "State_36_17" + "State_19_8" + "State_13_9" + "State_47_28" + "State_12_24" + "State_39_16" + "State_12_42" + "State_29_11" + "State_30_5" + "State_9_35" + "State_45_43" + "State_24_30" + "State_16_13" + "State_15_40" + "State_40_23" + "State_34_18" + "State_13_32" + "State_37_26" + "State_40_11" + "State_11_38" + "State_9_49" + "State_29_30" + "State_43_15" + "State_43_27" + "State_42_20" + "State_24_22" + "State_10_25" + "State_5_36" + "State_31_7" + "State_6_38" + "State_30_40" + "State_14_35" + "State_5_15" + "State_35_8" + "State_31_14" + "State_25_42" + "State_17_24" + "State_13_18" + "State_0_43" + "State_30_24" + "State_24_5" + "State_10_12" + "State_5_50" + "State_45_22" + "State_49_41" + "State_15_1" + "State_15_22" + "State_44_5" + "State_30_0" + "State_19_19" + "State_34_13" + "State_30_39" + "State_10_14" + "State_1_46" + "State_17_12" + "State_30_19" + "State_27_9" + "State_20_9" + "State_36_27" + "State_34_27" + "State_10_39" + "State_11_20" + "State_19_39" + "State_12_33" + "State_0_49" + "State_40_4" + "State_19_37" + "State_48_12" + "State_50_27" + "State_8_10" + "State_22_44" + "State_46_14" + "State_50_25" + "State_20_32" + "State_31_2" + "State_1_10" + "State_24_45" + "State_34_37" + "State_24_7" + "State_45_7" + "State_38_2" + "State_43_40" + "State_46_34" + "State_17_14" + "State_38_7" + "State_2_35" + "State_35_32" + "State_43_1" + "State_20_44" + "State_28_21" + "State_24_15" + "State_1_16" + "State_20_2" + "State_45_2" + "State_49_29" + "State_25_17" + "State_21_40" + "State_2_0" + "State_31_23" + "State_36_22" + "State_4_27" + "State_25_0" + "State_27_32" + "State_37_19" + "State_14_36" + "State_44_42" + "State_25_13" + "State_1_41" + "State_24_12" + "State_18_19" + "State_29_43" + "State_21_41" + "State_6_2" + "State_20_34" + "State_29_27" + "State_25_39" + "State_6_20" + "State_28_35" + "State_29_17" + "State_2_45" + "State_26_37" + "State_38_21" + "State_19_44" + "State_3_23" + "State_21_47" + "State_24_2" + "State_30_50" + "State_26_33" + "State_39_14" + "State_10_16" + "State_46_26" + "State_48_16" + "State_8_26" + "State_43_49" + "State_1_8" + "State_49_32" + "State_4_34" + "State_47_11" + "State_43_13" + "State_37_5" + "State_25_44" + "State_48_6" + "State_0_21" + "State_38_25" + "State_12_44" + "State_39_48" + "State_4_7" + "State_41_18" + "State_23_22" + "State_15_31" + "State_23_35" + "State_48_41" + "State_48_19" + "State_44_50" + "State_39_21" + "State_39_39" + "State_27_26" + "State_44_28" + "State_35_24" + "State_1_47" + "State_19_50" + "State_3_12" + "State_15_0" + "State_31_20" + "State_31_40" + "State_26_41" + "State_5_22" + "State_40_24" + "State_39_38" + "State_27_22" + "State_29_44" + "State_29_47" + "State_47_44" + "State_0_19" + "State_30_1" + "State_27_50" + "State_5_11" + "State_41_16" + "State_47_38" + "State_42_10" + "State_36_36" + "State_42_18" + "State_38_5" + "State_6_22" + "State_19_11" + "State_41_33" + "State_4_23" + "State_46_22" + "State_42_35" + "State_1_40" + "State_27_31" + "State_25_38" + "State_23_27" + "State_12_37" + "State_29_46" + "State_27_16" + "State_32_31" + "State_34_1" + "State_18_26" + "State_15_13" + "State_38_19" + "State_29_28" + "State_24_14" + "State_39_4" + "State_35_29" + "State_38_14" + "State_37_43" + "State_50_36" + "State_28_17" + "State_27_43" + "State_15_8" + "State_38_12" + "State_33_45" + "State_36_50" + "State_0_15" + "State_6_13" + "State_35_10" + "State_13_23" + "State_14_18" + "State_8_8" + "State_13_4" + "State_44_8" + "State_32_34" + "State_17_3" + "State_39_0" + "State_7_9" + "State_5_39" + "State_5_38" + "State_23_18" + "State_18_7" + "State_9_46" + "State_2_1" + "State_6_29" + "State_24_28" + "State_20_1" + "State_34_6" + "State_35_37" + "State_21_15" + "State_12_32" + "State_16_42" + "State_22_8" + "State_1_43" + "State_16_17" + "State_31_48" + "State_7_24" + "State_41_36" + "State_50_32" + "State_5_18" + "State_28_10" + "State_10_45" + "State_20_6" + "State_24_40" + "State_21_10" + "State_14_15" + "State_11_7" + "State_7_30" + "State_38_47" + "State_25_25" + "State_34_16" + "State_38_46" + "State_7_15" + "State_6_6" + "State_18_46" + "State_33_38" + "State_34_20" + "State_44_0" + "State_34_40" + "State_45_19" + "State_37_48" + "State_15_49" + "State_13_42" + "State_38_45" + "State_48_9" + "State_12_11" + "State_26_13" + "State_41_47" + "State_37_42" + "State_45_24" + "State_23_31" + "State_50_44" + "State_40_44" + "State_21_50" + "State_2_24" + "State_12_9" + "State_22_36" + "State_28_26" + "State_47_17" + "State_29_8" + "State_20_16" + "State_36_32" + "State_46_17" + "State_24_29" + "State_35_30" + "State_37_49" + "State_11_2" + "State_20_38" + "State_6_47" + "State_29_12" + "State_11_21" + "State_8_50" + "State_9_43" + "State_11_19" + "State_33_11" + "State_24_3" + "State_2_37" + "State_14_27" + "State_41_25" + "State_32_23" + "State_49_10" + "State_47_39" + "State_10_5" + "State_43_46" + "State_27_33" + "State_26_9" + "State_49_30" + "State_12_13" + "State_41_50" + "State_1_29" + "State_37_35" + "State_34_9" + "State_22_0" + "State_11_4" + "State_27_36" + "State_7_1" + "State_2_14" + "State_26_11" + "State_11_5" + "State_30_7" + "State_27_24" + "State_15_47" + "State_12_38" + "State_9_10" + "State_27_20" + "State_14_20" + "State_21_30" + "State_43_23" + "State_18_12" + "State_28_12" + "State_41_20" + "State_18_48" + "State_31_39" + "State_4_49" + "State_20_35" + "State_38_26" + "State_33_47" + "State_19_38" + "State_19_45" + "State_2_50" + "State_0_36" + "State_37_1" + "State_35_3" + "State_29_5" + "State_29_29" + "State_34_43" + "State_49_37" + "State_24_34" + "State_20_47" + "State_14_46" + "State_0_10" + "State_49_8" + "State_14_49" + "State_20_33" + "State_23_2" + "State_47_45" + "State_37_2" + "State_18_14" + "State_18_4" + "State_25_49" + "State_1_30" + "State_16_1" + "State_35_15" + "State_43_5" + "State_2_28" + "State_19_13" + "State_43_0" + "State_30_23" + "State_10_26" + "State_26_45" + "State_31_35" + "State_8_36" + "State_0_41" + "State_1_44" + "State_16_22" + "State_44_1" + "State_1_5" + "State_5_13" + "State_34_35" + "State_4_0" + "State_42_49" + "State_4_5" + "State_13_33" + "State_47_14" + "State_16_43" + "State_37_17" + "State_27_11" + "State_15_5" + "State_27_1" + "State_44_7" + "State_28_15" + "State_44_45" + "State_35_43" + "State_14_10" + "State_24_39" + "State_35_12" + "State_26_38" + "State_11_37" + "State_1_33" + "State_29_19" + "State_10_7" + "State_46_47" + "State_16_40" + "State_1_48" + "State_29_41" + "State_42_37" + "State_19_29" + "State_15_6" + "State_24_20" + "State_14_3" + "State_18_41" + "State_21_4" + "State_47_29" + "State_50_43" + "State_28_36" + "State_17_26" + "State_18_21" + "State_29_33" + "State_23_42" + "State_38_39" + "State_9_14" + "State_17_34" + "State_43_32" + "State_45_3" + "State_35_49" + "State_3_32" + "State_10_41" + "State_22_20" + "State_42_12" + "State_21_32" + "State_37_45" + "State_4_12" + "State_6_42" + "State_17_43" + "State_7_3" + "State_5_7" + "State_13_25" + "State_33_18" + "State_20_19" + "State_32_14" + "State_44_27" + "State_16_45" + "State_17_35" + "State_5_27" + "State_48_1" + "State_48_35" + "State_42_44" + "State_12_31" + "State_21_9" + "State_6_35" + "State_34_29" + "State_35_26" + "State_23_25" + "State_10_48" + "State_12_27" + "State_9_24" + "State_1_6" + "State_29_6" + "State_2_23" + "State_35_9" + "State_3_41" + "State_22_27" + "State_9_31" + "State_49_21" + "State_42_36" + "State_46_4" + "State_4_25" + "State_19_7" + "State_32_49" + "State_22_50" + "State_27_45" + "State_34_34" + "State_8_15" + "State_50_42" + "State_39_9" + "State_12_16" + "State_22_39" + "State_43_34" + "State_40_38" + "State_31_25" + "State_4_30" + "State_45_26" + "State_46_2" + "State_41_17" + "State_35_22" + "State_12_22" + "State_33_13" + "State_19_33" + "State_45_35" + "State_11_50" + "State_19_1" + "State_41_10" + "State_32_37" + "State_18_9" + "State_11_9" + "State_37_14" + "State_27_10" + "State_34_17" + "State_47_1" + "State_0_26" + "State_13_39" + "State_44_39" + "State_12_23" + "State_17_39" + "State_22_10" + "State_16_3" + "State_5_23" + "State_42_31" + "State_21_2" + "State_36_41" + "State_49_20" + "State_22_23" + "State_26_22" + "State_28_4" + "State_50_0" + "State_9_30" + "State_20_37" + "State_19_6" + "State_4_18" + "State_49_12" + "State_24_31" + "State_36_43" + "State_3_22" + "State_40_25" + "State_20_26" + "State_49_15" + "State_27_17" + "State_23_40" + "State_42_32" + "State_17_22" + "State_32_39" + "State_24_19" + "State_39_41" + "State_47_33" + "State_10_19" + "State_42_3" + "State_5_42" + "State_10_33" + "State_18_38" + "State_26_43" + "State_50_38" + "State_2_39" + "State_16_39" + "State_32_44" + "State_25_34" + "State_17_19" + "State_31_19" + "State_49_5" + "State_4_13" + "State_33_32" + "State_3_2" + "State_19_4" + "State_50_30" + "State_15_27" + "State_13_11" + "State_40_48" + "State_13_40" + "State_26_6" + "State_49_50" + "State_21_28" + "State_9_44" + "State_11_36" + "State_21_21" + "State_33_25" + "State_40_2" + "State_32_5" + "State_39_26" + "State_23_14" + "State_25_26" + "State_24_42" + "State_7_49" + "State_35_31" + "State_28_16" + "State_4_11" + "State_37_38" + "State_20_24" + "State_48_24" + "State_46_41" + "State_8_43" + "State_8_41" + "State_28_22" + "State_41_39" + "State_1_28" + "State_3_14" + "State_45_31" + "State_3_37" + "State_50_23" + "State_32_30" + "State_14_44" + "State_9_45" + "State_32_42" + "State_39_42" + "State_35_21" + "State_29_37" + "State_48_48" + "State_47_13" + "State_14_2" + "State_40_42" + "State_4_44" + "State_49_28" + "State_44_40" + "State_21_8" + "State_40_21" + "State_42_16" + "State_39_5" + "State_41_11" + "State_36_10" + "State_4_32" + "State_35_36" + "State_25_3" + "State_6_43" + "State_3_20" + "State_5_40" + "State_32_2" + "State_50_10" + "State_33_40" + "State_46_19" + "State_38_4" + "State_14_28" + "State_4_48" + "State_40_13" + "State_41_37" + "State_44_3" + "State_27_30" + "State_4_45" + "State_7_8" + "State_1_35" + "State_38_24" + "State_47_6" + "State_31_46" + "State_36_12" + "State_42_5" + "State_32_28" + "State_19_12" + "State_36_1" + "State_16_6" + "State_44_29" + "State_22_49" + "State_6_46" + "State_12_25" + "State_1_9" + "State_39_50" + "State_18_18" + "State_49_46" + "State_8_34" + "State_41_8" + "State_45_27" + "State_29_9" + "State_45_48" + "State_2_19" + "State_25_43" + "State_46_18" + "State_25_18" + "State_28_41" + "State_38_33" + "State_20_7" + "State_11_27" + "State_16_46" + "State_16_29" + "State_32_18" + "State_28_33" + "State_0_33" + "State_34_8" + "State_16_36" + "State_45_1" + "State_46_33" + "State_20_25" + "State_47_43" + "State_10_37" + "State_23_0" + "State_37_30" + "State_37_44" + "State_37_6" + "State_26_14" + "State_11_18" + "State_33_14" + "State_48_33" + "State_18_13" + "State_35_20" + "State_44_20" + "State_30_20" + "State_40_49" + "State_5_25" + "State_41_13" + "State_13_20" + "State_42_28" + "State_13_7" + "State_35_17" + "State_9_38" + "State_45_45" + "State_18_34" + "State_47_20" + "State_6_3" + "State_45_38" + "State_35_11" + "State_21_33" + "State_11_28" + "State_43_47" + "State_42_11" + "State_46_40" + "State_20_48" + "State_32_40" + "State_4_14" + "State_16_27" + "State_13_2" + "State_50_50" + "State_5_0" + "State_44_32" + "State_38_41" + "State_22_30" + "State_3_5" + "State_50_47" + "State_34_36" + "State_48_26" + "State_26_35" + "State_41_40" + "State_37_29" + "State_45_39" + "State_21_5" + "State_50_12" + "State_14_42" + "State_22_32" + "State_6_8" + "State_18_40" + "State_10_24" + "State_25_36" + "State_12_21" + "State_41_44" + "State_49_36" + "State_29_50" + "State_8_45" + "State_44_14" + "State_7_21" + "State_27_38" + "State_9_6" + "State_9_29" + "State_9_48" + "State_10_23" + "State_4_17" + "State_33_23" + "State_17_45" + "State_11_26" + "State_18_17" + "State_2_27" + "State_21_46" + "State_36_38" + "State_21_36" + "State_1_4" + "State_33_8" + "State_5_17" + "State_43_6" + "State_21_35" + "State_45_9" + "State_48_17" + "State_33_0" + "State_14_5" + "State_49_35" + "State_42_0" + "State_47_4" + "State_6_26" + "State_15_42" + "State_38_23" + "State_4_31" + "State_41_12" + "State_13_41" + "State_24_23" + "State_32_50" + "State_19_17" + "State_36_15" + "State_13_16" + "State_13_10" + "State_34_3" + "State_50_49" + "State_32_43" + "State_2_48" + "State_27_44" + "State_16_35" + "State_11_32" + "State_22_15" + "State_32_47" + "State_26_21" + "State_11_35" + "State_50_15" + "State_50_5" + "State_18_22" + "State_7_44" + "State_6_34" + "State_4_22" + "State_19_41" + "State_22_2" + "State_19_20" + "State_29_48" + "State_12_49" + "State_12_5" + "State_14_39" + "State_34_32" + "State_22_42" + "State_11_33" + "State_41_32" + "State_49_25" + "State_25_11" + "State_15_34" + "State_0_37" + "State_7_11" + "State_39_28" + "State_18_43" + "State_7_39" + "State_32_19" + "State_46_9" + "State_14_50" + "State_15_16" + "State_36_20" + "State_26_29" + "State_27_6" + "State_24_36" + "State_48_21" + "State_0_9" + "State_12_12" + "State_8_20" + "State_36_7" + "State_0_35" + "State_32_27" + "State_14_40" + "State_13_44" + "State_3_29" + "State_46_24" + "State_3_33" + "State_32_24" + "State_40_39" + "State_50_29" + "State_48_2" + "State_9_1" + "State_21_7" + "State_25_40" + "State_31_42" + "State_0_1" + "State_48_25" + "State_37_41" + "State_0_25" + "State_45_41" + "State_46_13" + "State_28_37" + "State_50_48" + "State_48_15" + "State_31_5" + "State_34_26" + "State_40_37" + "State_32_13" + "State_21_37" + "State_26_47" + "State_45_42" + "State_42_40" + "State_10_32" + "State_41_49" + "State_46_1" + "State_26_18" + "State_34_21" + "State_18_6" + "State_44_31" + "State_23_24" + "State_20_17" + "State_25_22" + "State_14_11" + "State_36_14" + "State_2_15" + "State_25_27" + "State_4_16" + "State_46_27" + "State_11_22" + "State_43_36" + "State_4_2" + "State_27_47" + "State_30_10" + "State_44_35" + "State_15_14" + "State_9_12" + "State_37_24" + "State_29_42" + "State_5_34" + "State_29_4" + "State_33_34" + "State_4_19" + "State_32_11" + "State_28_1" + "State_18_1" + "State_45_28" + "State_38_9" + "State_24_44" + "State_30_25" + "State_16_8" + "State_20_15" + "State_12_30" + "State_27_21" + "State_49_42" + "State_24_41" + "State_39_18" + "State_4_28" + "State_39_43" + "State_42_8" + "State_24_50" + "State_12_48" + "State_10_10" + "State_13_8" + "State_44_6" + "State_17_18" + "State_19_26" + "State_29_2" + "State_29_7" + "State_3_10" + "State_27_13" + "State_45_29" + "State_22_48" + "State_38_38" + "State_39_35" + "State_22_46" + "State_0_40" + "State_12_26" + "State_39_40" + "State_23_19" + "State_1_32" + "State_32_0" + "State_19_9" + "State_8_47" + "State_47_2" + "State_32_46" + "State_24_32" + "State_23_34" + "State_11_40" + "State_13_21" + "State_14_0" + "State_26_17" + "State_0_38" + "State_39_33" + "State_40_5" + "State_27_15" + "State_10_9" + "State_41_21" + "State_9_19" + "State_23_8" + "State_3_36" + "State_41_5" + "State_9_15" + "State_7_31" + "State_8_14" + "State_13_13" + "State_7_43" + "State_47_41" + "State_18_24" + "State_3_18" + "State_41_27" + "State_40_17" + "State_1_45" + "State_37_10" + "State_50_46" + "State_39_2" + "State_15_32" + "State_31_29" + "State_44_19" + "State_16_41" + "State_49_44" + "State_12_3" + "State_17_28" + "State_50_20" + "State_18_33" + "State_27_49" + "State_36_6" + "State_30_4" + "State_10_27" + "State_9_47" + "State_47_26" + "State_50_37" + "State_5_26" + "State_7_45" + "State_19_10" + "State_40_3" + "State_30_9" + "State_14_31" + "State_29_10" + "State_33_39" + "State_4_24" + "State_48_0" + "State_12_7" + "State_26_28" + "State_3_27" + "State_32_8" + "State_10_4" + "State_22_33" + "State_8_6" + "State_13_17" + "State_32_1" + "State_5_46" + "State_17_48" + "State_2_12" + "State_17_38" + "State_48_38" + "State_14_16" + "State_33_36" + "State_39_23" + "State_3_17" + "State_30_2" + "State_42_50" + "State_26_25" + "State_46_8" + "State_11_43" + "State_35_27" + "State_7_16" + "State_39_7" + "State_28_9" + "State_35_45" + "State_8_46" + "State_2_4" + "State_34_14" + "State_31_33" + "State_30_15" + "State_6_21" + "State_10_44" + "State_17_31" + "State_25_23" + "State_1_22" + "State_34_46" + "State_14_45" + "State_47_10" + "State_30_30" + "State_43_16" + "State_23_41" + "State_4_1" + "State_37_7" + "State_43_11" + "State_39_8" + "State_8_29" + "State_40_28" + "State_42_48" + "State_7_48" + "State_6_30" + "State_43_17" + "State_3_19" + "State_40_47" + "State_17_6" + "State_45_14" + "State_15_21" + "State_2_32" + "State_47_22" + "State_29_35" + "State_10_38" + "State_2_10" + "State_25_31" + "State_11_23" + "State_18_35" + "State_5_14" + "State_2_40" + "State_40_18" + "State_23_9" + "State_36_16" + "State_33_12" + "State_35_47" + "State_41_0" + "State_31_28" + "State_30_41" + "State_3_46" + "State_42_39" + "State_46_7" + "State_36_29" + "State_44_43" + "State_21_25" + "State_34_22" + "State_19_3" + "State_22_29" + "State_38_10" + "State_41_46" + "State_22_5" + "State_10_17" + "State_11_12" + "State_24_27" + "State_38_44" + "State_24_49" + "State_12_40" + "State_40_30" + "State_15_11" + "State_35_44" + "State_25_20" + "State_25_14" + "State_3_28" + "State_3_13" + "State_13_36" + "State_13_5" + "State_39_31" + "State_42_45" + "State_6_25" + "State_45_47" + "State_12_28" + "State_11_30" + "State_26_3" + "State_8_35" + "State_29_24" + "State_15_25" + "State_19_30" + "State_48_22" + "State_2_44" + "State_34_0" + "State_50_17" + "State_47_3" + "State_47_35" + "State_30_31" + "State_16_9" + "State_33_37" + "State_23_4" + "State_37_15" + "State_47_30" + "State_26_36" + "State_33_3" + "State_5_3" + "State_10_13" + "State_12_18" + "State_1_37" + "State_41_23" + "State_49_13" + "State_37_9" + "State_28_38" + "State_49_17" + "State_5_8" + "State_17_40" + "State_6_0" + "State_0_20" + "State_44_34" + "State_47_40" + "State_26_19" + "State_48_42" + "State_13_0" + "State_49_2" + "State_4_39" + "State_36_35" + "State_28_14" + "State_14_8" + "State_33_31" + "State_28_13" + "State_14_48" + "State_1_42" + "State_5_19" + "State_40_27" + "State_30_49" + "State_24_1" + "State_41_26" + "State_25_41" + "State_28_7" + "State_20_30" + "State_27_0" + "State_19_40" + "State_40_32" + "State_1_15" + "State_4_43" + "State_26_26" + "State_21_38" + "State_17_29" + "State_44_12" + "State_44_16" + "State_13_49" + "State_8_42" + "State_50_26" + "State_9_9" + "State_24_43" + "State_45_32" + "State_46_35" + "State_29_25" + "State_48_20" + "State_50_39" + "State_5_21" + "State_6_36" + "State_34_45" + "State_6_39" + "State_47_27" + "State_34_30" + "State_11_13" + "State_31_13" + "State_5_20" + "State_11_47" + "State_16_14" + "State_21_34" + "State_8_7" + "State_11_31" + "State_35_14" + "State_20_10" + "State_15_19" + "State_37_4" + "State_3_7" + "State_28_2" + "State_31_32" + "State_44_4" + "State_9_32" + "State_36_33" + "State_43_25" + "State_49_0" + "State_21_17" + "State_20_12" + "State_29_45" + "State_5_41" + "State_17_33" + "State_17_47" + "State_1_24" + "State_26_16" + "State_21_48" + "State_2_9" + "State_10_1" + "State_16_38" + "State_7_0" + "State_22_26" + "State_19_46" + "State_42_42" + "State_26_40" + "State_18_27" + "State_35_2" + "State_50_33" + "State_25_29" + "State_2_49" + "State_43_39" + "State_43_38" + "State_19_15" + "State_46_25" + "State_7_34" + "State_45_33" + "State_40_26" + "State_43_19" + "State_32_3" + "State_5_16" + "State_20_0" + "State_50_34" + "State_2_30" + "State_24_8" + "State_38_1" + "State_40_0" + "State_22_7" + "State_21_42" + "State_1_39" + "State_43_24" + "State_15_44" + "State_0_13" + "State_33_16" + "State_21_14" + "State_41_48" + "State_38_13" + "State_16_34" + "State_17_4" + "State_48_28" + "State_4_50" + "State_30_38" + "State_20_20" + "State_35_16" + "State_24_21" + "State_40_22" + "State_1_50" + "State_44_36" + "State_48_10" + "State_16_44" + "State_17_27" + "State_33_26" + "State_25_30" + "State_45_6" + "State_45_18" + "State_21_44" + "State_23_50" + "State_38_18" + "State_36_45" + "State_33_43" + "State_30_48" + "State_33_19" + "State_24_11" + "State_47_15" + "State_6_11" + "State_42_2" + "State_16_32" + "State_23_32" + "State_6_40" + "State_34_25" + "State_14_14" + "State_17_1" + "State_21_13" + "State_15_7" + "State_33_22" + "State_34_11" + "State_44_37" + "State_30_13" + "State_14_41" + "State_4_26" + "State_32_25" + "State_7_38" + "State_39_29" + "State_31_41" + "State_9_4" + "State_20_43" + "State_36_4" + "State_18_10" + "State_11_10" + "State_34_28" + "State_14_21" + "State_33_49" + "State_0_29" + "State_9_28" + "State_28_29" + "State_39_37" + "State_1_12" + "State_37_36" + "State_23_36" + "State_32_10" + "State_29_15" + "State_25_10" + "State_41_34" + "State_23_33" + "State_39_6" + "State_2_31" + "State_36_31" + "State_7_25" + "State_23_28" + "State_5_43" + "State_3_9" + "State_49_23" + "State_19_43" + "State_47_31" + "State_26_0" + "State_36_23" + "State_28_20" + "State_3_30" + "State_11_17" + "State_10_49" + "State_36_9" + "State_33_46" + "State_12_50" + "State_22_31" + "State_2_33" + "State_22_4" + "State_38_15" + "State_15_39" + "State_42_21" + "State_8_37" + "State_43_9" + "State_47_7" + "State_42_46" + "State_7_42" + "State_48_30" + "State_40_46" + "State_17_23" + "State_10_15" + "State_31_22" + "State_27_12" + "State_34_50" + "State_46_10" + "State_46_36" + "State_31_1" + "State_40_50" + "State_14_25" + "State_8_4" + "State_9_11" + "State_18_36" + "State_34_42" + "State_24_47" + "State_47_46" + "State_8_33" + "State_20_18" + "State_13_3" + "State_2_11" + "State_2_41" + "State_36_34" + "State_4_3" + "State_37_47" + "State_10_47" + "State_48_18" + "State_26_1" + "State_10_22" + "State_31_30" + "State_25_6" + "State_30_37" + "State_5_5" + "State_27_34" + "State_16_31" + "State_39_10" + "State_19_49" + "State_12_17" + "State_32_6" + "State_20_28" + "State_15_24" + "State_9_40" + "State_21_24" + "State_22_37" + "State_37_50" + "State_13_26" + "State_30_42" + "State_20_40" + "State_31_4" + "State_12_0" + "State_3_4" + "State_43_12" + "State_8_23" + "State_25_21" + "State_16_11" + "State_33_21" + "State_34_47" + "State_43_44" + "State_9_50" + "State_48_13" + "State_10_43" + "State_22_9" + "State_35_0" + "State_6_45" + "State_11_41" + "State_25_16" + "State_43_45" + "State_6_14" + "State_13_46" + "State_20_39" + "State_11_29" + "State_34_12" + "State_42_25" + "State_35_38" + "State_42_17" + "State_3_1" + "State_18_25" + "State_46_32" + "State_18_47" + "State_27_27" + "State_2_13" + "State_40_8" + "State_39_30" + "State_49_4" + "State_38_35" + "State_3_24" + "State_21_23" + "State_31_8" + "State_32_32" + "State_32_36" + "State_11_46" + "State_37_28" + "State_41_3" + "State_46_3" + "State_27_18" + "State_15_2" + "State_30_44" + "State_17_32" + "State_2_2" + "State_16_2" + "State_39_15" + "State_8_32" + "State_42_29" + "State_49_31" + "State_12_10" + "State_43_14" + "State_18_49" + "State_26_50" + "State_41_22" + "State_26_27" + "State_49_34" + "State_8_48" + "State_45_4" + "State_25_15" + "State_2_17" + "State_11_6" + "State_50_14" + "State_37_40" + "State_29_13" + "State_50_22" + "State_31_43" + "State_23_44" + "State_38_3" + "State_15_45" + "State_19_5" + "State_48_47" + "State_23_7" + "State_1_13" + "State_20_22" + "State_32_15" + "State_4_8" + "State_34_7" + "State_35_34" + "State_7_12" + "State_9_33" + "State_1_2" + "State_20_46" + "State_41_43" + "State_23_11" + "State_19_48" + "State_17_30" + "State_42_34" + "State_47_49" + "State_9_37" + "State_24_35" + "State_0_27" + "State_31_9" + "State_18_15" + "State_31_3" + "State_19_22" + "State_27_3" + "State_26_24" + "State_23_37" + "State_15_29" + "State_19_47" + "State_46_6" + "State_9_27" + "State_49_38" + "State_22_38" + "State_32_26" + "State_4_4" + "State_14_19" + "State_21_12" + "State_14_12" + "State_7_20" + "State_46_15" + "State_44_41" + "State_13_34" + "State_38_20" + "State_20_5" + "State_2_16" + "State_28_45" + "State_0_12" + "State_33_29" + "State_44_33" + "State_45_8" + "State_27_7" + "State_39_49" + "State_30_27" + "State_25_1" + "State_7_41" + "State_16_23" + "State_15_4" + "State_16_47" + "State_30_11" + "State_8_9" + "State_37_18" + "State_5_31" + "State_11_49" + "State_35_25" + "State_45_20" + "State_14_29" + "State_21_0" + "State_28_18" + "State_48_46" + "State_38_29" + "State_41_7" + "State_16_33" + "State_32_17" + "State_28_34" + "State_49_39" + "State_2_7" + "State_15_38" + "State_9_7" + "State_47_42" + "State_29_49" + "State_20_13" + "State_44_23" + "State_33_35" + "State_26_10" + "State_18_3" + "State_8_31" + "State_5_10" + "State_13_14" + "State_10_34" + "State_48_27" + "State_13_43" + "State_39_32" + "State_30_33" + "State_44_24" + "State_6_16" + "State_29_38" + "State_47_48" + "State_19_27" + "State_27_2" + "State_39_46" + "State_43_21" + "State_33_5" + "State_23_26" + "State_4_41" + "State_9_18" + "State_28_30" + "State_39_1" + "State_37_33" + "State_32_22" + "State_50_31" + "State_39_13" + "State_35_48" + "State_42_26" + "State_5_49" + "State_31_26" + "State_19_35" + "State_16_24" + "State_22_41" + "State_38_43" + "State_2_38" + "State_25_37" + "State_23_39" + "State_27_23" + "State_5_35" + "State_28_48" + "State_0_34" + "State_10_3" + "State_33_17" + "State_10_35" + "State_6_28" + "State_49_26" + "State_28_25" + "State_9_16" + "State_11_1" + "State_16_19" + "State_48_5" + "State_2_20" + "State_34_5" + "State_17_20" + "State_20_29" + "State_2_42" + "State_26_39" + "State_9_39" + "State_17_9" + "State_31_24" + "State_38_49" + "State_26_12" + "State_35_39" + "State_11_15" + "State_25_19" + "State_31_10" + "State_5_29" + "State_3_21" + "State_17_42" + "State_40_10" + "State_28_3" + "State_16_16" + "State_1_38" + "State_44_9" + "State_44_48" + "State_10_29" + "State_33_44" + "State_19_31" + "State_5_33" + "State_8_49" + "State_46_23" + "State_21_26" + "State_42_30" + "State_40_43" + "State_42_47" + "State_26_44" + "State_44_11" + "State_50_41" + "State_17_21" + "State_0_18" + "State_37_13" + "State_10_6" + "State_31_50" + "State_8_17" + "State_42_19" + "State_6_5" + "State_48_7" + "State_23_47" + "State_38_37" + "State_33_42" + "State_4_15" + "State_38_28" + "State_8_38" + "State_17_10" + "State_4_21" + "State_31_16" + "State_47_5" + "State_41_35" + "State_39_27" + "State_7_14" + "State_1_34" + "State_8_27" + "State_15_28" + "State_40_41" + "State_29_32" + "State_35_4" + "State_2_22" + "State_45_37" + "State_36_21" + "State_45_36" + "State_3_26" + "State_0_45" + "State_46_31" + "State_45_21" + "State_33_27" + "State_7_28" + "State_47_25" + "State_35_40" + "State_32_4" + "State_18_0" + "State_27_42" + "State_27_14" + "State_0_14" + "State_32_21" + "State_14_30" + "State_44_44" + "State_47_18" + "State_37_23" + "State_49_24" + "State_49_27" + "State_28_40" + "State_8_11" + "State_46_46" + "State_12_39" + "State_9_22" + "State_38_16" + "State_46_38" + "State_14_7" + "State_17_11" + "State_7_32" + "State_6_19" + "State_24_6" + "State_24_16" + "State_28_31" + "State_19_34" + "State_38_32" + "State_19_18" + "State_18_8" + "State_31_37" + "State_10_18" + "State_42_9" + "State_45_30" + "State_1_17" + "State_50_2" + "State_3_11" + "State_25_8" + "State_48_40" + "State_8_21" + "State_37_11" + "State_42_4" + "State_45_50" + "State_13_48" + "State_2_47" + "State_1_7" + "State_25_4" + "State_7_2" + "State_3_45" + "State_45_25" + "State_0_48" + "State_0_2" + "State_34_19" + "State_6_24" + "State_33_41" + "State_9_23" + "State_18_23" + "State_3_3" + "State_36_2" + "State_43_42" + "State_44_13" + "State_11_0" + "State_6_1" + "State_16_37" + "State_45_16" + "State_39_22" + "State_25_46" + "State_49_7" + "State_38_34" + "State_48_45" + "State_17_50" + "State_45_10" + "State_49_9" + "State_35_46" + "State_25_47" + "State_23_1" + "State_24_25" + "State_10_28" + "State_43_41" + "State_50_40" + "State_41_31" + "State_20_42" + "State_29_34" + "State_1_49" + "State_31_21" + "State_11_8" + "State_24_26" + "State_50_11" + "State_31_36" + "State_21_3" + "State_34_33" + "State_15_33" + "State_49_19" + "State_1_36" + "State_47_23" + "State_28_46" + "State_26_15" + "State_6_50" + "State_38_31" + "State_33_33" + "State_29_0" + "State_22_21" + "State_46_49" + "State_15_36" + "State_18_32" + "State_36_0" + "State_22_17" + "State_38_27" + "State_34_24" + "State_7_26" + "State_17_16" + "State_4_9" + "State_5_4" + "State_40_6" + "State_42_14" + "State_0_46" + "State_31_17" + "State_37_16" + "State_8_39" + "State_4_36" + "State_15_17" + "State_36_49" + "State_10_42" + "State_19_25" + "State_46_43" + "State_38_6" + "State_23_45" + "State_8_25" + "State_21_49" + "State_17_41" + "State_28_5" + "State_30_35" + "State_13_24" + "State_13_22" + "State_40_40" + "State_48_31" + "State_50_9" + "State_12_1" + "State_46_20" + "State_46_28" + "State_18_20" + "State_8_0" + "State_0_31" + "State_48_8" + "State_5_48" + "State_32_9" + "State_15_37" + "State_26_32" + "State_13_19" + "State_50_6" + "State_38_17" + "State_10_20" + "State_27_35" + "State_13_12" + "State_8_12" + "State_26_23" + "State_34_39" + "State_14_34" + "State_17_36" + "State_32_20" + "State_32_12" + "State_41_30" + "State_43_28" + "State_17_25" + "State_10_46" + "State_25_9" + "State_1_0" + "State_50_19" + "State_35_28" + "State_30_45" + "State_25_12" + "State_7_5" + "State_1_27" + "State_35_7" + "State_13_35" + "State_19_23" + "State_1_25" + "State_35_50" + "State_15_18" + "State_17_46" + "State_18_5" + "State_36_44" + "State_29_18" + "State_27_48" + "State_48_39" + "State_13_45" + "State_6_37" + "State_40_1" + "State_45_40" + "State_30_29" + "State_24_4" + "State_2_29" + "State_18_30" + "State_8_22" + "State_22_22" + "State_23_30" + "State_8_18" + "State_5_6" + "State_49_22" + "State_4_10" + "State_12_41" + "State_36_25" + "State_12_6" + "State_30_43" + "State_28_50" + "State_33_6" + "State_36_48" + "State_47_32" + "State_35_5" + "State_5_44" + "State_49_3" + "State_36_11" + "State_14_17" + "State_12_43" + "State_50_18" + "State_46_12" + "State_36_30" + "State_7_4" + "State_26_7" + "State_42_22" + "State_6_33" + "State_20_45" + "State_43_18" + "State_42_41" + "State_31_11" + "State_24_24" + "State_24_33" + "State_0_0" + "State_49_48" + "State_6_10" + "State_40_7" + "State_46_50" + "State_45_11" + "State_40_15" + "State_27_39" + "State_2_26" + "State_41_45" + "State_31_49" + "State_37_20" + "State_18_31" + "State_23_38" + "State_17_37" + "State_22_12" + "State_17_2" + "State_23_20" + "State_14_26" + "State_22_18" + "State_36_18" + "State_48_29" + "State_41_2" + "State_37_8" + "State_30_8" + "State_43_29" + "State_25_5" + "State_12_29" + "State_8_44" + "State_50_21" + "State_28_28" + "State_9_42" + "State_8_30" + "State_31_31" + "State_23_29" + "State_7_22" + "State_43_43" + "State_48_3" + "State_41_38" + "State_18_28" + "State_23_10" + "State_43_4" + "State_22_1" + "State_16_10" + "State_3_49" + "State_8_28" + "State_30_6" + "State_25_32" + "State_7_36" + "State_12_14" + "State_22_43" + "State_11_3" + "State_4_40" + "State_11_34" + "State_35_33" + "State_2_3" + "State_24_37" + "State_18_44" + "State_22_13" + "State_25_50" + "State_15_50" + "State_31_45" + "State_31_27" + "State_25_28" + "State_12_47" + "State_1_18" + "State_30_32" + "State_3_47" + "State_0_5" + "State_17_15" + "State_15_9" + "State_40_35" + "State_41_41" + "State_37_32" + "State_40_29" + "State_31_47" + "State_2_6" + "State_3_8" + "State_0_3" + "State_27_8" + "State_46_30" + "State_21_18" + "State_19_42" + "State_0_17" + "State_37_25" + "State_23_6" + "State_37_39" + "State_30_3" + "State_29_31" + "State_48_36" + "State_44_21" + "State_5_1" + "State_18_50" + "State_5_47" + "State_47_8" + "State_36_46" + "State_48_34" + "State_22_11" + "State_46_37" + "State_19_14" + "State_6_7" + "State_19_24" + "State_47_0" + "State_16_48" + "State_5_24" + "State_16_26" + "State_26_30" + "State_0_7" + "State_16_49" + "State_4_37" + "State_28_11" + "State_45_15" + "State_15_43" + "State_21_11" + "State_45_17" + "State_26_8" + "State_32_16" + "State_12_8" + "State_41_19" + "State_47_24" + "State_3_16" + "State_43_33" + "State_39_3" + "State_4_33" + "State_26_49" + "State_41_42" + "State_14_33" + "State_17_5" + "State_44_25" + "State_8_2" + "State_35_19" + "State_7_18" + "State_44_2" + "State_8_16" + "State_21_19" + "State_36_13" + "State_3_39" + "State_0_24" + "State_33_48" + "State_33_2" + "State_23_23" + "State_9_13" + "State_25_35" + "State_13_31" + "State_34_31" + "State_39_36" + "State_50_1" + "State_18_42" + "State_11_11" + "State_30_47" + "State_28_39" + "State_23_48" + "State_4_38" + "State_28_19" + "State_8_40" + "State_3_15" + "State_17_8" + "State_20_36" + "State_37_21" + "State_0_44" + "State_50_13" + "State_27_25" + "State_23_16" + "State_16_21" + "State_16_4" + "State_12_15" + "State_7_19" + "State_42_23" + "State_41_24" + "State_49_49" + "State_0_42" + "State_13_30" + "State_39_34" + "State_31_15" + "State_9_34" + "State_33_1" + "State_26_48" + "State_50_7" + "State_35_42" + "State_7_50" + "State_44_49" + "State_28_42" + "State_46_5" + "State_23_13" + "State_42_24" + "State_32_41" + "State_46_44" + "State_14_24" + "State_37_34" + "State_2_36" + "State_33_4" + "State_9_21" + "State_10_2" + "State_30_21" + "State_32_38")))) or (("State_27_28" + "State_22_47" + "State_22_45" + "State_9_0" + "State_42_33" + "State_20_3" + "State_48_32" + "State_40_12" + "State_43_22" + "State_45_5" + "State_0_23" + "State_30_18" + "State_4_20" + "State_21_45" + "State_7_46" + "State_34_23" + "State_5_12" + "State_21_31" + "State_31_12" + "State_48_50" + "State_48_14" + "State_27_40" + "State_41_14" + "State_43_3" + "State_28_44" + "State_21_39" + "State_36_47" + "State_2_18" + "State_20_14" + "State_50_45" + "State_36_40" + "State_12_36" + "State_27_46" + "State_46_0" + "State_47_12" + "State_22_14" + "State_26_46" + "State_6_44" + "State_43_50" + "State_41_6" + "State_22_28" + "State_27_4" + "State_3_50" + "State_16_18" + "State_49_11" + "State_14_9" + "State_50_3" + "State_6_17" + "State_33_50" + "State_36_28" + "State_13_28" + "State_33_30" + "State_43_7" + "State_35_18" + "State_18_11" + "State_26_5" + "State_22_3" + "State_45_46" + "State_38_8" + "State_36_5" + "State_44_30" + "State_23_17" + "State_15_23" + "State_29_3" + "State_12_46" + "State_7_35" + "State_32_33" + "State_3_40" + "State_18_29" + "State_6_4" + "State_16_30" + "State_18_16" + "State_38_22" + "State_9_41" + "State_45_12" + "State_3_48" + "State_5_45" + "State_50_28" + "State_34_44" + "State_47_19" + "State_14_22" + "State_33_9" + "State_4_6" + "State_6_48" + "State_11_25" + "State_6_23" + "State_7_33" + "State_0_30" + "State_3_38" + "State_38_50" + "State_34_48" + "State_13_6" + "State_16_7" + "State_2_43" + "State_13_47" + "State_46_11" + "State_20_4" + "State_7_7" + "State_24_48" + "State_29_23" + "State_6_15" + "State_37_37" + "State_34_41" + "State_29_14" + "State_44_10" + "State_31_44" + "State_26_20" + "State_45_44" + "State_7_37" + "State_20_8" + "State_5_9" + "State_40_19" + "State_34_2" + "State_29_20" + "State_39_11" + "State_12_45" + "State_0_22" + "State_39_20" + "State_44_18" + "State_1_23" + "State_19_0" + "State_22_35" + "State_23_21" + "State_12_34" + "State_9_8" + "State_2_34" + "State_3_44" + "State_12_35" + "State_46_16" + "State_9_25" + "State_26_2" + "State_15_20" + "State_2_25" + "State_49_18" + "State_9_2" + "State_44_38" + "State_28_0" + "State_24_9" + "State_41_1" + "State_29_22" + "State_22_16" + "State_35_35" + "State_25_33" + "State_36_3" + "State_2_21" + "State_40_20" + "State_8_13" + "State_49_40" + "State_41_15" + "State_1_26" + "State_49_45" + "State_13_38" + "State_41_9" + "State_24_38" + "State_40_45" + "State_31_38" + "State_10_31" + "State_29_36" + "State_0_11" + "State_27_41" + "State_47_47" + "State_16_25" + "State_9_17" + "State_14_37" + "State_43_31" + "State_34_15" + "State_28_43" + "State_21_43" + "State_22_34" + "State_38_36" + "State_37_0" + "State_7_27" + "State_43_35" + "State_4_29" + "State_11_16" + "State_13_1" + "State_43_48" + "State_35_13" + "State_1_21" + "State_5_2" + "State_36_39" + "State_13_29" + "State_39_19" + "State_47_21" + "State_4_47" + "State_16_12" + "State_6_49" + "State_43_26" + "State_16_15" + "State_38_48" + "State_25_2" + "State_3_35" + "State_4_42" + "State_2_5" + "State_3_6" + "State_41_28" + "State_27_19" + "State_39_17" + "State_14_23" + "State_50_16" + "State_50_4" + "State_47_34" + "State_10_11" + "State_21_27" + "State_19_32" + "State_42_27" + "State_0_39" + "State_32_45" + "State_49_6" + "State_0_32" + "State_24_10" + "State_42_43" + "State_2_46" + "State_6_18" + "State_15_3" + "State_10_36" + "State_17_0" + "State_22_24" + "State_49_33" + "State_48_4" + "State_29_40" + "State_17_49" + "State_1_1" + "State_37_27" + "State_28_27" + "State_35_1" + "State_20_21" + "State_25_7" + "State_7_13" + "State_12_19" + "State_25_48" + "State_10_40" + "State_20_11" + "State_11_24" + "State_0_8" + "State_20_41" + "State_3_34" + "State_41_29" + "State_0_28" + "State_25_45" + "State_45_49" + "State_44_46" + "State_23_12" + "State_1_3" + "State_1_11" + "State_33_24" + "State_42_13" + "State_21_1" + "State_17_44" + "State_45_34" + "State_34_4" + "State_7_40" + "State_29_16" + "State_5_30" + "State_13_50" + "State_2_8" + "State_11_14" + "State_5_28" + "State_17_13" + "State_31_6" + "State_36_19" + "State_15_26" + "State_48_11" + "State_47_36" + "State_44_26" + "State_23_15" + "State_17_17" + "State_27_29" + "State_40_14" + "State_23_46" + "State_5_32" + "State_44_17" + "State_45_13" + "State_3_31" + "State_8_5" + "State_42_1" + "State_48_23" + "State_10_50" + "State_36_42" + "State_28_23" + "State_14_32" + "State_13_15" + "State_38_42" + "State_3_0" + "State_24_17" + "State_7_10" + "State_30_17" + "State_46_29" + "State_30_34" + "State_47_16" + "State_36_37" + "State_0_50" + "State_34_49" + "State_9_20" + "State_3_43" + "State_37_22" + "State_12_2" + "State_14_43" + "State_18_2" + "State_47_37" + "State_30_26" + "State_50_24" + "State_28_24" + "State_43_20" + "State_19_2" + "State_37_31" + "State_14_38" + "State_4_35" + "State_24_0" + "State_29_21" + "State_8_19" + "State_8_3" + "State_21_22" + "State_20_23" + "State_13_37" + "State_39_25" + "State_0_16" + "State_20_50" + "State_14_1" + "State_24_13" + "State_43_2" + "State_42_38" + "State_32_29" + "State_22_40" + "State_40_36" + "State_27_5" + "State_36_24" + "State_19_36" + "State_11_42" + "State_33_10" + "State_11_44" + "State_40_31" + "State_14_13" + "State_32_7" + "State_22_6" + "State_15_48" + "State_41_4" + "State_49_1" + "State_48_49" + "State_15_46" + "State_16_50" + "State_7_47" + "State_33_28" + "State_1_31" + "State_30_36" + "State_43_10" + "State_6_12" + "State_29_1" + "State_11_45" + "State_15_41" + "State_15_10" + "State_45_23" + "State_30_28" + "State_43_8" + "State_27_37" + "State_10_8" + "State_21_20" + "State_31_34" + "State_22_25" + "State_19_21" + "State_23_5" + "State_13_27" + "State_28_49" + "State_15_12" + "State_21_16" + "State_6_31" + "State_16_28" + "State_20_31" + "State_7_29" + "State_15_30" + "State_45_0" + "State_39_47" + "State_42_15" + "State_7_17" + "State_44_15" + "State_33_7" + "State_20_49" + "State_49_14" + "State_23_3" + "State_1_19" + "State_30_16" + "State_18_45" + "State_44_22" + "State_6_32" + "State_10_21" + "State_19_28" + "State_24_18" + "State_49_16" + "State_43_37" + "State_47_50" + "State_29_39" + "State_14_6" + "State_6_27" + "State_26_4" + "State_35_23" + "State_30_22" + "State_9_3" + "State_6_9" + "State_0_4" + "State_26_42" + "State_15_15" + "State_46_48" + "State_40_9" + "State_44_47" + "State_30_14" + "State_42_7" + "State_16_5" + "State_29_26" + "State_46_39" + "State_3_42" + "State_10_0" + "State_50_8" + "State_34_10" + "State_26_31" + "State_48_43" + "State_18_37" + "State_7_23" + "State_38_0" + "State_35_41" + "State_39_44" + "State_37_12" + "State_12_4" + "State_25_24" + "State_40_33" + "State_11_39" + "State_14_47" + "State_38_30" + "State_48_37" + "State_31_0" + "State_1_20" + "State_14_4" + "State_7_6" + "State_38_11" + "State_9_36" + "State_39_24" + "State_30_46" + "State_28_32" + "State_6_41" + "State_10_30" + "State_47_9" + "State_40_16" + "State_30_12" + "State_39_45" + "State_19_16" + "State_12_20" + "State_34_38" + "State_17_7" + "State_23_43" + "State_43_30" + "State_32_35" + "State_36_8" + "State_18_39" + "State_9_26" + "State_8_1" + "State_15_35" + "State_38_40" + "State_0_6" + "State_37_46" + "State_48_44" + "State_31_18" + "State_39_12" + "State_33_20" + "State_46_45" + "State_4_46" + "State_21_6" + "State_26_34" + "State_37_3" + "State_23_49" + "State_40_34" + "State_0_47" + "State_49_47" + "State_5_37" + "State_35_6" + "State_1_14" + "State_49_43" + "State_8_24" + "State_11_48" + "State_20_27" + "State_16_0" + "State_16_20" + "State_28_8" + "State_33_15" + "State_28_47" + "State_9_5" + "State_3_25" + "State_50_35" + "State_22_19" + "State_28_6" + "State_21_29" + "State_42_6" + "State_32_48" + "State_36_26" + "State_46_42" + "State_46_21" + "State_24_46" + "State_36_17" + "State_19_8" + "State_13_9" + "State_47_28" + "State_12_24" + "State_39_16" + "State_12_42" + "State_29_11" + "State_30_5" + "State_9_35" + "State_45_43" + "State_24_30" + "State_16_13" + "State_15_40" + "State_40_23" + "State_34_18" + "State_13_32" + "State_37_26" + "State_40_11" + "State_11_38" + "State_9_49" + "State_29_30" + "State_43_15" + "State_43_27" + "State_42_20" + "State_24_22" + "State_10_25" + "State_5_36" + "State_31_7" + "State_6_38" + "State_30_40" + "State_14_35" + "State_5_15" + "State_35_8" + "State_31_14" + "State_25_42" + "State_17_24" + "State_13_18" + "State_0_43" + "State_30_24" + "State_24_5" + "State_10_12" + "State_5_50" + "State_45_22" + "State_49_41" + "State_15_1" + "State_15_22" + "State_44_5" + "State_30_0" + "State_19_19" + "State_34_13" + "State_30_39" + "State_10_14" + "State_1_46" + "State_17_12" + "State_30_19" + "State_27_9" + "State_20_9" + "State_36_27" + "State_34_27" + "State_10_39" + "State_11_20" + "State_19_39" + "State_12_33" + "State_0_49" + "State_40_4" + "State_19_37" + "State_48_12" + "State_50_27" + "State_8_10" + "State_22_44" + "State_46_14" + "State_50_25" + "State_20_32" + "State_31_2" + "State_1_10" + "State_24_45" + "State_34_37" + "State_24_7" + "State_45_7" + "State_38_2" + "State_43_40" + "State_46_34" + "State_17_14" + "State_38_7" + "State_2_35" + "State_35_32" + "State_43_1" + "State_20_44" + "State_28_21" + "State_24_15" + "State_1_16" + "State_20_2" + "State_45_2" + "State_49_29" + "State_25_17" + "State_21_40" + "State_2_0" + "State_31_23" + "State_36_22" + "State_4_27" + "State_25_0" + "State_27_32" + "State_37_19" + "State_14_36" + "State_44_42" + "State_25_13" + "State_1_41" + "State_24_12" + "State_18_19" + "State_29_43" + "State_21_41" + "State_6_2" + "State_20_34" + "State_29_27" + "State_25_39" + "State_6_20" + "State_28_35" + "State_29_17" + "State_2_45" + "State_26_37" + "State_38_21" + "State_19_44" + "State_3_23" + "State_21_47" + "State_24_2" + "State_30_50" + "State_26_33" + "State_39_14" + "State_10_16" + "State_46_26" + "State_48_16" + "State_8_26" + "State_43_49" + "State_1_8" + "State_49_32" + "State_4_34" + "State_47_11" + "State_43_13" + "State_37_5" + "State_25_44" + "State_48_6" + "State_0_21" + "State_38_25" + "State_12_44" + "State_39_48" + "State_4_7" + "State_41_18" + "State_23_22" + "State_15_31" + "State_23_35" + "State_48_41" + "State_48_19" + "State_44_50" + "State_39_21" + "State_39_39" + "State_27_26" + "State_44_28" + "State_35_24" + "State_1_47" + "State_19_50" + "State_3_12" + "State_15_0" + "State_31_20" + "State_31_40" + "State_26_41" + "State_5_22" + "State_40_24" + "State_39_38" + "State_27_22" + "State_29_44" + "State_29_47" + "State_47_44" + "State_0_19" + "State_30_1" + "State_27_50" + "State_5_11" + "State_41_16" + "State_47_38" + "State_42_10" + "State_36_36" + "State_42_18" + "State_38_5" + "State_6_22" + "State_19_11" + "State_41_33" + "State_4_23" + "State_46_22" + "State_42_35" + "State_1_40" + "State_27_31" + "State_25_38" + "State_23_27" + "State_12_37" + "State_29_46" + "State_27_16" + "State_32_31" + "State_34_1" + "State_18_26" + "State_15_13" + "State_38_19" + "State_29_28" + "State_24_14" + "State_39_4" + "State_35_29" + "State_38_14" + "State_37_43" + "State_50_36" + "State_28_17" + "State_27_43" + "State_15_8" + "State_38_12" + "State_33_45" + "State_36_50" + "State_0_15" + "State_6_13" + "State_35_10" + "State_13_23" + "State_14_18" + "State_8_8" + "State_13_4" + "State_44_8" + "State_32_34" + "State_17_3" + "State_39_0" + "State_7_9" + "State_5_39" + "State_5_38" + "State_23_18" + "State_18_7" + "State_9_46" + "State_2_1" + "State_6_29" + "State_24_28" + "State_20_1" + "State_34_6" + "State_35_37" + "State_21_15" + "State_12_32" + "State_16_42" + "State_22_8" + "State_1_43" + "State_16_17" + "State_31_48" + "State_7_24" + "State_41_36" + "State_50_32" + "State_5_18" + "State_28_10" + "State_10_45" + "State_20_6" + "State_24_40" + "State_21_10" + "State_14_15" + "State_11_7" + "State_7_30" + "State_38_47" + "State_25_25" + "State_34_16" + "State_38_46" + "State_7_15" + "State_6_6" + "State_18_46" + "State_33_38" + "State_34_20" + "State_44_0" + "State_34_40" + "State_45_19" + "State_37_48" + "State_15_49" + "State_13_42" + "State_38_45" + "State_48_9" + "State_12_11" + "State_26_13" + "State_41_47" + "State_37_42" + "State_45_24" + "State_23_31" + "State_50_44" + "State_40_44" + "State_21_50" + "State_2_24" + "State_12_9" + "State_22_36" + "State_28_26" + "State_47_17" + "State_29_8" + "State_20_16" + "State_36_32" + "State_46_17" + "State_24_29" + "State_35_30" + "State_37_49" + "State_11_2" + "State_20_38" + "State_6_47" + "State_29_12" + "State_11_21" + "State_8_50" + "State_9_43" + "State_11_19" + "State_33_11" + "State_24_3" + "State_2_37" + "State_14_27" + "State_41_25" + "State_32_23" + "State_49_10" + "State_47_39" + "State_10_5" + "State_43_46" + "State_27_33" + "State_26_9" + "State_49_30" + "State_12_13" + "State_41_50" + "State_1_29" + "State_37_35" + "State_34_9" + "State_22_0" + "State_11_4" + "State_27_36" + "State_7_1" + "State_2_14" + "State_26_11" + "State_11_5" + "State_30_7" + "State_27_24" + "State_15_47" + "State_12_38" + "State_9_10" + "State_27_20" + "State_14_20" + "State_21_30" + "State_43_23" + "State_18_12" + "State_28_12" + "State_41_20" + "State_18_48" + "State_31_39" + "State_4_49" + "State_20_35" + "State_38_26" + "State_33_47" + "State_19_38" + "State_19_45" + "State_2_50" + "State_0_36" + "State_37_1" + "State_35_3" + "State_29_5" + "State_29_29" + "State_34_43" + "State_49_37" + "State_24_34" + "State_20_47" + "State_14_46" + "State_0_10" + "State_49_8" + "State_14_49" + "State_20_33" + "State_23_2" + "State_47_45" + "State_37_2" + "State_18_14" + "State_18_4" + "State_25_49" + "State_1_30" + "State_16_1" + "State_35_15" + "State_43_5" + "State_2_28" + "State_19_13" + "State_43_0" + "State_30_23" + "State_10_26" + "State_26_45" + "State_31_35" + "State_8_36" + "State_0_41" + "State_1_44" + "State_16_22" + "State_44_1" + "State_1_5" + "State_5_13" + "State_34_35" + "State_4_0" + "State_42_49" + "State_4_5" + "State_13_33" + "State_47_14" + "State_16_43" + "State_37_17" + "State_27_11" + "State_15_5" + "State_27_1" + "State_44_7" + "State_28_15" + "State_44_45" + "State_35_43" + "State_14_10" + "State_24_39" + "State_35_12" + "State_26_38" + "State_11_37" + "State_1_33" + "State_29_19" + "State_10_7" + "State_46_47" + "State_16_40" + "State_1_48" + "State_29_41" + "State_42_37" + "State_19_29" + "State_15_6" + "State_24_20" + "State_14_3" + "State_18_41" + "State_21_4" + "State_47_29" + "State_50_43" + "State_28_36" + "State_17_26" + "State_18_21" + "State_29_33" + "State_23_42" + "State_38_39" + "State_9_14" + "State_17_34" + "State_43_32" + "State_45_3" + "State_35_49" + "State_3_32" + "State_10_41" + "State_22_20" + "State_42_12" + "State_21_32" + "State_37_45" + "State_4_12" + "State_6_42" + "State_17_43" + "State_7_3" + "State_5_7" + "State_13_25" + "State_33_18" + "State_20_19" + "State_32_14" + "State_44_27" + "State_16_45" + "State_17_35" + "State_5_27" + "State_48_1" + "State_48_35" + "State_42_44" + "State_12_31" + "State_21_9" + "State_6_35" + "State_34_29" + "State_35_26" + "State_23_25" + "State_10_48" + "State_12_27" + "State_9_24" + "State_1_6" + "State_29_6" + "State_2_23" + "State_35_9" + "State_3_41" + "State_22_27" + "State_9_31" + "State_49_21" + "State_42_36" + "State_46_4" + "State_4_25" + "State_19_7" + "State_32_49" + "State_22_50" + "State_27_45" + "State_34_34" + "State_8_15" + "State_50_42" + "State_39_9" + "State_12_16" + "State_22_39" + "State_43_34" + "State_40_38" + "State_31_25" + "State_4_30" + "State_45_26" + "State_46_2" + "State_41_17" + "State_35_22" + "State_12_22" + "State_33_13" + "State_19_33" + "State_45_35" + "State_11_50" + "State_19_1" + "State_41_10" + "State_32_37" + "State_18_9" + "State_11_9" + "State_37_14" + "State_27_10" + "State_34_17" + "State_47_1" + "State_0_26" + "State_13_39" + "State_44_39" + "State_12_23" + "State_17_39" + "State_22_10" + "State_16_3" + "State_5_23" + "State_42_31" + "State_21_2" + "State_36_41" + "State_49_20" + "State_22_23" + "State_26_22" + "State_28_4" + "State_50_0" + "State_9_30" + "State_20_37" + "State_19_6" + "State_4_18" + "State_49_12" + "State_24_31" + "State_36_43" + "State_3_22" + "State_40_25" + "State_20_26" + "State_49_15" + "State_27_17" + "State_23_40" + "State_42_32" + "State_17_22" + "State_32_39" + "State_24_19" + "State_39_41" + "State_47_33" + "State_10_19" + "State_42_3" + "State_5_42" + "State_10_33" + "State_18_38" + "State_26_43" + "State_50_38" + "State_2_39" + "State_16_39" + "State_32_44" + "State_25_34" + "State_17_19" + "State_31_19" + "State_49_5" + "State_4_13" + "State_33_32" + "State_3_2" + "State_19_4" + "State_50_30" + "State_15_27" + "State_13_11" + "State_40_48" + "State_13_40" + "State_26_6" + "State_49_50" + "State_21_28" + "State_9_44" + "State_11_36" + "State_21_21" + "State_33_25" + "State_40_2" + "State_32_5" + "State_39_26" + "State_23_14" + "State_25_26" + "State_24_42" + "State_7_49" + "State_35_31" + "State_28_16" + "State_4_11" + "State_37_38" + "State_20_24" + "State_48_24" + "State_46_41" + "State_8_43" + "State_8_41" + "State_28_22" + "State_41_39" + "State_1_28" + "State_3_14" + "State_45_31" + "State_3_37" + "State_50_23" + "State_32_30" + "State_14_44" + "State_9_45" + "State_32_42" + "State_39_42" + "State_35_21" + "State_29_37" + "State_48_48" + "State_47_13" + "State_14_2" + "State_40_42" + "State_4_44" + "State_49_28" + "State_44_40" + "State_21_8" + "State_40_21" + "State_42_16" + "State_39_5" + "State_41_11" + "State_36_10" + "State_4_32" + "State_35_36" + "State_25_3" + "State_6_43" + "State_3_20" + "State_5_40" + "State_32_2" + "State_50_10" + "State_33_40" + "State_46_19" + "State_38_4" + "State_14_28" + "State_4_48" + "State_40_13" + "State_41_37" + "State_44_3" + "State_27_30" + "State_4_45" + "State_7_8" + "State_1_35" + "State_38_24" + "State_47_6" + "State_31_46" + "State_36_12" + "State_42_5" + "State_32_28" + "State_19_12" + "State_36_1" + "State_16_6" + "State_44_29" + "State_22_49" + "State_6_46" + "State_12_25" + "State_1_9" + "State_39_50" + "State_18_18" + "State_49_46" + "State_8_34" + "State_41_8" + "State_45_27" + "State_29_9" + "State_45_48" + "State_2_19" + "State_25_43" + "State_46_18" + "State_25_18" + "State_28_41" + "State_38_33" + "State_20_7" + "State_11_27" + "State_16_46" + "State_16_29" + "State_32_18" + "State_28_33" + "State_0_33" + "State_34_8" + "State_16_36" + "State_45_1" + "State_46_33" + "State_20_25" + "State_47_43" + "State_10_37" + "State_23_0" + "State_37_30" + "State_37_44" + "State_37_6" + "State_26_14" + "State_11_18" + "State_33_14" + "State_48_33" + "State_18_13" + "State_35_20" + "State_44_20" + "State_30_20" + "State_40_49" + "State_5_25" + "State_41_13" + "State_13_20" + "State_42_28" + "State_13_7" + "State_35_17" + "State_9_38" + "State_45_45" + "State_18_34" + "State_47_20" + "State_6_3" + "State_45_38" + "State_35_11" + "State_21_33" + "State_11_28" + "State_43_47" + "State_42_11" + "State_46_40" + "State_20_48" + "State_32_40" + "State_4_14" + "State_16_27" + "State_13_2" + "State_50_50" + "State_5_0" + "State_44_32" + "State_38_41" + "State_22_30" + "State_3_5" + "State_50_47" + "State_34_36" + "State_48_26" + "State_26_35" + "State_41_40" + "State_37_29" + "State_45_39" + "State_21_5" + "State_50_12" + "State_14_42" + "State_22_32" + "State_6_8" + "State_18_40" + "State_10_24" + "State_25_36" + "State_12_21" + "State_41_44" + "State_49_36" + "State_29_50" + "State_8_45" + "State_44_14" + "State_7_21" + "State_27_38" + "State_9_6" + "State_9_29" + "State_9_48" + "State_10_23" + "State_4_17" + "State_33_23" + "State_17_45" + "State_11_26" + "State_18_17" + "State_2_27" + "State_21_46" + "State_36_38" + "State_21_36" + "State_1_4" + "State_33_8" + "State_5_17" + "State_43_6" + "State_21_35" + "State_45_9" + "State_48_17" + "State_33_0" + "State_14_5" + "State_49_35" + "State_42_0" + "State_47_4" + "State_6_26" + "State_15_42" + "State_38_23" + "State_4_31" + "State_41_12" + "State_13_41" + "State_24_23" + "State_32_50" + "State_19_17" + "State_36_15" + "State_13_16" + "State_13_10" + "State_34_3" + "State_50_49" + "State_32_43" + "State_2_48" + "State_27_44" + "State_16_35" + "State_11_32" + "State_22_15" + "State_32_47" + "State_26_21" + "State_11_35" + "State_50_15" + "State_50_5" + "State_18_22" + "State_7_44" + "State_6_34" + "State_4_22" + "State_19_41" + "State_22_2" + "State_19_20" + "State_29_48" + "State_12_49" + "State_12_5" + "State_14_39" + "State_34_32" + "State_22_42" + "State_11_33" + "State_41_32" + "State_49_25" + "State_25_11" + "State_15_34" + "State_0_37" + "State_7_11" + "State_39_28" + "State_18_43" + "State_7_39" + "State_32_19" + "State_46_9" + "State_14_50" + "State_15_16" + "State_36_20" + "State_26_29" + "State_27_6" + "State_24_36" + "State_48_21" + "State_0_9" + "State_12_12" + "State_8_20" + "State_36_7" + "State_0_35" + "State_32_27" + "State_14_40" + "State_13_44" + "State_3_29" + "State_46_24" + "State_3_33" + "State_32_24" + "State_40_39" + "State_50_29" + "State_48_2" + "State_9_1" + "State_21_7" + "State_25_40" + "State_31_42" + "State_0_1" + "State_48_25" + "State_37_41" + "State_0_25" + "State_45_41" + "State_46_13" + "State_28_37" + "State_50_48" + "State_48_15" + "State_31_5" + "State_34_26" + "State_40_37" + "State_32_13" + "State_21_37" + "State_26_47" + "State_45_42" + "State_42_40" + "State_10_32" + "State_41_49" + "State_46_1" + "State_26_18" + "State_34_21" + "State_18_6" + "State_44_31" + "State_23_24" + "State_20_17" + "State_25_22" + "State_14_11" + "State_36_14" + "State_2_15" + "State_25_27" + "State_4_16" + "State_46_27" + "State_11_22" + "State_43_36" + "State_4_2" + "State_27_47" + "State_30_10" + "State_44_35" + "State_15_14" + "State_9_12" + "State_37_24" + "State_29_42" + "State_5_34" + "State_29_4" + "State_33_34" + "State_4_19" + "State_32_11" + "State_28_1" + "State_18_1" + "State_45_28" + "State_38_9" + "State_24_44" + "State_30_25" + "State_16_8" + "State_20_15" + "State_12_30" + "State_27_21" + "State_49_42" + "State_24_41" + "State_39_18" + "State_4_28" + "State_39_43" + "State_42_8" + "State_24_50" + "State_12_48" + "State_10_10" + "State_13_8" + "State_44_6" + "State_17_18" + "State_19_26" + "State_29_2" + "State_29_7" + "State_3_10" + "State_27_13" + "State_45_29" + "State_22_48" + "State_38_38" + "State_39_35" + "State_22_46" + "State_0_40" + "State_12_26" + "State_39_40" + "State_23_19" + "State_1_32" + "State_32_0" + "State_19_9" + "State_8_47" + "State_47_2" + "State_32_46" + "State_24_32" + "State_23_34" + "State_11_40" + "State_13_21" + "State_14_0" + "State_26_17" + "State_0_38" + "State_39_33" + "State_40_5" + "State_27_15" + "State_10_9" + "State_41_21" + "State_9_19" + "State_23_8" + "State_3_36" + "State_41_5" + "State_9_15" + "State_7_31" + "State_8_14" + "State_13_13" + "State_7_43" + "State_47_41" + "State_18_24" + "State_3_18" + "State_41_27" + "State_40_17" + "State_1_45" + "State_37_10" + "State_50_46" + "State_39_2" + "State_15_32" + "State_31_29" + "State_44_19" + "State_16_41" + "State_49_44" + "State_12_3" + "State_17_28" + "State_50_20" + "State_18_33" + "State_27_49" + "State_36_6" + "State_30_4" + "State_10_27" + "State_9_47" + "State_47_26" + "State_50_37" + "State_5_26" + "State_7_45" + "State_19_10" + "State_40_3" + "State_30_9" + "State_14_31" + "State_29_10" + "State_33_39" + "State_4_24" + "State_48_0" + "State_12_7" + "State_26_28" + "State_3_27" + "State_32_8" + "State_10_4" + "State_22_33" + "State_8_6" + "State_13_17" + "State_32_1" + "State_5_46" + "State_17_48" + "State_2_12" + "State_17_38" + "State_48_38" + "State_14_16" + "State_33_36" + "State_39_23" + "State_3_17" + "State_30_2" + "State_42_50" + "State_26_25" + "State_46_8" + "State_11_43" + "State_35_27" + "State_7_16" + "State_39_7" + "State_28_9" + "State_35_45" + "State_8_46" + "State_2_4" + "State_34_14" + "State_31_33" + "State_30_15" + "State_6_21" + "State_10_44" + "State_17_31" + "State_25_23" + "State_1_22" + "State_34_46" + "State_14_45" + "State_47_10" + "State_30_30" + "State_43_16" + "State_23_41" + "State_4_1" + "State_37_7" + "State_43_11" + "State_39_8" + "State_8_29" + "State_40_28" + "State_42_48" + "State_7_48" + "State_6_30" + "State_43_17" + "State_3_19" + "State_40_47" + "State_17_6" + "State_45_14" + "State_15_21" + "State_2_32" + "State_47_22" + "State_29_35" + "State_10_38" + "State_2_10" + "State_25_31" + "State_11_23" + "State_18_35" + "State_5_14" + "State_2_40" + "State_40_18" + "State_23_9" + "State_36_16" + "State_33_12" + "State_35_47" + "State_41_0" + "State_31_28" + "State_30_41" + "State_3_46" + "State_42_39" + "State_46_7" + "State_36_29" + "State_44_43" + "State_21_25" + "State_34_22" + "State_19_3" + "State_22_29" + "State_38_10" + "State_41_46" + "State_22_5" + "State_10_17" + "State_11_12" + "State_24_27" + "State_38_44" + "State_24_49" + "State_12_40" + "State_40_30" + "State_15_11" + "State_35_44" + "State_25_20" + "State_25_14" + "State_3_28" + "State_3_13" + "State_13_36" + "State_13_5" + "State_39_31" + "State_42_45" + "State_6_25" + "State_45_47" + "State_12_28" + "State_11_30" + "State_26_3" + "State_8_35" + "State_29_24" + "State_15_25" + "State_19_30" + "State_48_22" + "State_2_44" + "State_34_0" + "State_50_17" + "State_47_3" + "State_47_35" + "State_30_31" + "State_16_9" + "State_33_37" + "State_23_4" + "State_37_15" + "State_47_30" + "State_26_36" + "State_33_3" + "State_5_3" + "State_10_13" + "State_12_18" + "State_1_37" + "State_41_23" + "State_49_13" + "State_37_9" + "State_28_38" + "State_49_17" + "State_5_8" + "State_17_40" + "State_6_0" + "State_0_20" + "State_44_34" + "State_47_40" + "State_26_19" + "State_48_42" + "State_13_0" + "State_49_2" + "State_4_39" + "State_36_35" + "State_28_14" + "State_14_8" + "State_33_31" + "State_28_13" + "State_14_48" + "State_1_42" + "State_5_19" + "State_40_27" + "State_30_49" + "State_24_1" + "State_41_26" + "State_25_41" + "State_28_7" + "State_20_30" + "State_27_0" + "State_19_40" + "State_40_32" + "State_1_15" + "State_4_43" + "State_26_26" + "State_21_38" + "State_17_29" + "State_44_12" + "State_44_16" + "State_13_49" + "State_8_42" + "State_50_26" + "State_9_9" + "State_24_43" + "State_45_32" + "State_46_35" + "State_29_25" + "State_48_20" + "State_50_39" + "State_5_21" + "State_6_36" + "State_34_45" + "State_6_39" + "State_47_27" + "State_34_30" + "State_11_13" + "State_31_13" + "State_5_20" + "State_11_47" + "State_16_14" + "State_21_34" + "State_8_7" + "State_11_31" + "State_35_14" + "State_20_10" + "State_15_19" + "State_37_4" + "State_3_7" + "State_28_2" + "State_31_32" + "State_44_4" + "State_9_32" + "State_36_33" + "State_43_25" + "State_49_0" + "State_21_17" + "State_20_12" + "State_29_45" + "State_5_41" + "State_17_33" + "State_17_47" + "State_1_24" + "State_26_16" + "State_21_48" + "State_2_9" + "State_10_1" + "State_16_38" + "State_7_0" + "State_22_26" + "State_19_46" + "State_42_42" + "State_26_40" + "State_18_27" + "State_35_2" + "State_50_33" + "State_25_29" + "State_2_49" + "State_43_39" + "State_43_38" + "State_19_15" + "State_46_25" + "State_7_34" + "State_45_33" + "State_40_26" + "State_43_19" + "State_32_3" + "State_5_16" + "State_20_0" + "State_50_34" + "State_2_30" + "State_24_8" + "State_38_1" + "State_40_0" + "State_22_7" + "State_21_42" + "State_1_39" + "State_43_24" + "State_15_44" + "State_0_13" + "State_33_16" + "State_21_14" + "State_41_48" + "State_38_13" + "State_16_34" + "State_17_4" + "State_48_28" + "State_4_50" + "State_30_38" + "State_20_20" + "State_35_16" + "State_24_21" + "State_40_22" + "State_1_50" + "State_44_36" + "State_48_10" + "State_16_44" + "State_17_27" + "State_33_26" + "State_25_30" + "State_45_6" + "State_45_18" + "State_21_44" + "State_23_50" + "State_38_18" + "State_36_45" + "State_33_43" + "State_30_48" + "State_33_19" + "State_24_11" + "State_47_15" + "State_6_11" + "State_42_2" + "State_16_32" + "State_23_32" + "State_6_40" + "State_34_25" + "State_14_14" + "State_17_1" + "State_21_13" + "State_15_7" + "State_33_22" + "State_34_11" + "State_44_37" + "State_30_13" + "State_14_41" + "State_4_26" + "State_32_25" + "State_7_38" + "State_39_29" + "State_31_41" + "State_9_4" + "State_20_43" + "State_36_4" + "State_18_10" + "State_11_10" + "State_34_28" + "State_14_21" + "State_33_49" + "State_0_29" + "State_9_28" + "State_28_29" + "State_39_37" + "State_1_12" + "State_37_36" + "State_23_36" + "State_32_10" + "State_29_15" + "State_25_10" + "State_41_34" + "State_23_33" + "State_39_6" + "State_2_31" + "State_36_31" + "State_7_25" + "State_23_28" + "State_5_43" + "State_3_9" + "State_49_23" + "State_19_43" + "State_47_31" + "State_26_0" + "State_36_23" + "State_28_20" + "State_3_30" + "State_11_17" + "State_10_49" + "State_36_9" + "State_33_46" + "State_12_50" + "State_22_31" + "State_2_33" + "State_22_4" + "State_38_15" + "State_15_39" + "State_42_21" + "State_8_37" + "State_43_9" + "State_47_7" + "State_42_46" + "State_7_42" + "State_48_30" + "State_40_46" + "State_17_23" + "State_10_15" + "State_31_22" + "State_27_12" + "State_34_50" + "State_46_10" + "State_46_36" + "State_31_1" + "State_40_50" + "State_14_25" + "State_8_4" + "State_9_11" + "State_18_36" + "State_34_42" + "State_24_47" + "State_47_46" + "State_8_33" + "State_20_18" + "State_13_3" + "State_2_11" + "State_2_41" + "State_36_34" + "State_4_3" + "State_37_47" + "State_10_47" + "State_48_18" + "State_26_1" + "State_10_22" + "State_31_30" + "State_25_6" + "State_30_37" + "State_5_5" + "State_27_34" + "State_16_31" + "State_39_10" + "State_19_49" + "State_12_17" + "State_32_6" + "State_20_28" + "State_15_24" + "State_9_40" + "State_21_24" + "State_22_37" + "State_37_50" + "State_13_26" + "State_30_42" + "State_20_40" + "State_31_4" + "State_12_0" + "State_3_4" + "State_43_12" + "State_8_23" + "State_25_21" + "State_16_11" + "State_33_21" + "State_34_47" + "State_43_44" + "State_9_50" + "State_48_13" + "State_10_43" + "State_22_9" + "State_35_0" + "State_6_45" + "State_11_41" + "State_25_16" + "State_43_45" + "State_6_14" + "State_13_46" + "State_20_39" + "State_11_29" + "State_34_12" + "State_42_25" + "State_35_38" + "State_42_17" + "State_3_1" + "State_18_25" + "State_46_32" + "State_18_47" + "State_27_27" + "State_2_13" + "State_40_8" + "State_39_30" + "State_49_4" + "State_38_35" + "State_3_24" + "State_21_23" + "State_31_8" + "State_32_32" + "State_32_36" + "State_11_46" + "State_37_28" + "State_41_3" + "State_46_3" + "State_27_18" + "State_15_2" + "State_30_44" + "State_17_32" + "State_2_2" + "State_16_2" + "State_39_15" + "State_8_32" + "State_42_29" + "State_49_31" + "State_12_10" + "State_43_14" + "State_18_49" + "State_26_50" + "State_41_22" + "State_26_27" + "State_49_34" + "State_8_48" + "State_45_4" + "State_25_15" + "State_2_17" + "State_11_6" + "State_50_14" + "State_37_40" + "State_29_13" + "State_50_22" + "State_31_43" + "State_23_44" + "State_38_3" + "State_15_45" + "State_19_5" + "State_48_47" + "State_23_7" + "State_1_13" + "State_20_22" + "State_32_15" + "State_4_8" + "State_34_7" + "State_35_34" + "State_7_12" + "State_9_33" + "State_1_2" + "State_20_46" + "State_41_43" + "State_23_11" + "State_19_48" + "State_17_30" + "State_42_34" + "State_47_49" + "State_9_37" + "State_24_35" + "State_0_27" + "State_31_9" + "State_18_15" + "State_31_3" + "State_19_22" + "State_27_3" + "State_26_24" + "State_23_37" + "State_15_29" + "State_19_47" + "State_46_6" + "State_9_27" + "State_49_38" + "State_22_38" + "State_32_26" + "State_4_4" + "State_14_19" + "State_21_12" + "State_14_12" + "State_7_20" + "State_46_15" + "State_44_41" + "State_13_34" + "State_38_20" + "State_20_5" + "State_2_16" + "State_28_45" + "State_0_12" + "State_33_29" + "State_44_33" + "State_45_8" + "State_27_7" + "State_39_49" + "State_30_27" + "State_25_1" + "State_7_41" + "State_16_23" + "State_15_4" + "State_16_47" + "State_30_11" + "State_8_9" + "State_37_18" + "State_5_31" + "State_11_49" + "State_35_25" + "State_45_20" + "State_14_29" + "State_21_0" + "State_28_18" + "State_48_46" + "State_38_29" + "State_41_7" + "State_16_33" + "State_32_17" + "State_28_34" + "State_49_39" + "State_2_7" + "State_15_38" + "State_9_7" + "State_47_42" + "State_29_49" + "State_20_13" + "State_44_23" + "State_33_35" + "State_26_10" + "State_18_3" + "State_8_31" + "State_5_10" + "State_13_14" + "State_10_34" + "State_48_27" + "State_13_43" + "State_39_32" + "State_30_33" + "State_44_24" + "State_6_16" + "State_29_38" + "State_47_48" + "State_19_27" + "State_27_2" + "State_39_46" + "State_43_21" + "State_33_5" + "State_23_26" + "State_4_41" + "State_9_18" + "State_28_30" + "State_39_1" + "State_37_33" + "State_32_22" + "State_50_31" + "State_39_13" + "State_35_48" + "State_42_26" + "State_5_49" + "State_31_26" + "State_19_35" + "State_16_24" + "State_22_41" + "State_38_43" + "State_2_38" + "State_25_37" + "State_23_39" + "State_27_23" + "State_5_35" + "State_28_48" + "State_0_34" + "State_10_3" + "State_33_17" + "State_10_35" + "State_6_28" + "State_49_26" + "State_28_25" + "State_9_16" + "State_11_1" + "State_16_19" + "State_48_5" + "State_2_20" + "State_34_5" + "State_17_20" + "State_20_29" + "State_2_42" + "State_26_39" + "State_9_39" + "State_17_9" + "State_31_24" + "State_38_49" + "State_26_12" + "State_35_39" + "State_11_15" + "State_25_19" + "State_31_10" + "State_5_29" + "State_3_21" + "State_17_42" + "State_40_10" + "State_28_3" + "State_16_16" + "State_1_38" + "State_44_9" + "State_44_48" + "State_10_29" + "State_33_44" + "State_19_31" + "State_5_33" + "State_8_49" + "State_46_23" + "State_21_26" + "State_42_30" + "State_40_43" + "State_42_47" + "State_26_44" + "State_44_11" + "State_50_41" + "State_17_21" + "State_0_18" + "State_37_13" + "State_10_6" + "State_31_50" + "State_8_17" + "State_42_19" + "State_6_5" + "State_48_7" + "State_23_47" + "State_38_37" + "State_33_42" + "State_4_15" + "State_38_28" + "State_8_38" + "State_17_10" + "State_4_21" + "State_31_16" + "State_47_5" + "State_41_35" + "State_39_27" + "State_7_14" + "State_1_34" + "State_8_27" + "State_15_28" + "State_40_41" + "State_29_32" + "State_35_4" + "State_2_22" + "State_45_37" + "State_36_21" + "State_45_36" + "State_3_26" + "State_0_45" + "State_46_31" + "State_45_21" + "State_33_27" + "State_7_28" + "State_47_25" + "State_35_40" + "State_32_4" + "State_18_0" + "State_27_42" + "State_27_14" + "State_0_14" + "State_32_21" + "State_14_30" + "State_44_44" + "State_47_18" + "State_37_23" + "State_49_24" + "State_49_27" + "State_28_40" + "State_8_11" + "State_46_46" + "State_12_39" + "State_9_22" + "State_38_16" + "State_46_38" + "State_14_7" + "State_17_11" + "State_7_32" + "State_6_19" + "State_24_6" + "State_24_16" + "State_28_31" + "State_19_34" + "State_38_32" + "State_19_18" + "State_18_8" + "State_31_37" + "State_10_18" + "State_42_9" + "State_45_30" + "State_1_17" + "State_50_2" + "State_3_11" + "State_25_8" + "State_48_40" + "State_8_21" + "State_37_11" + "State_42_4" + "State_45_50" + "State_13_48" + "State_2_47" + "State_1_7" + "State_25_4" + "State_7_2" + "State_3_45" + "State_45_25" + "State_0_48" + "State_0_2" + "State_34_19" + "State_6_24" + "State_33_41" + "State_9_23" + "State_18_23" + "State_3_3" + "State_36_2" + "State_43_42" + "State_44_13" + "State_11_0" + "State_6_1" + "State_16_37" + "State_45_16" + "State_39_22" + "State_25_46" + "State_49_7" + "State_38_34" + "State_48_45" + "State_17_50" + "State_45_10" + "State_49_9" + "State_35_46" + "State_25_47" + "State_23_1" + "State_24_25" + "State_10_28" + "State_43_41" + "State_50_40" + "State_41_31" + "State_20_42" + "State_29_34" + "State_1_49" + "State_31_21" + "State_11_8" + "State_24_26" + "State_50_11" + "State_31_36" + "State_21_3" + "State_34_33" + "State_15_33" + "State_49_19" + "State_1_36" + "State_47_23" + "State_28_46" + "State_26_15" + "State_6_50" + "State_38_31" + "State_33_33" + "State_29_0" + "State_22_21" + "State_46_49" + "State_15_36" + "State_18_32" + "State_36_0" + "State_22_17" + "State_38_27" + "State_34_24" + "State_7_26" + "State_17_16" + "State_4_9" + "State_5_4" + "State_40_6" + "State_42_14" + "State_0_46" + "State_31_17" + "State_37_16" + "State_8_39" + "State_4_36" + "State_15_17" + "State_36_49" + "State_10_42" + "State_19_25" + "State_46_43" + "State_38_6" + "State_23_45" + "State_8_25" + "State_21_49" + "State_17_41" + "State_28_5" + "State_30_35" + "State_13_24" + "State_13_22" + "State_40_40" + "State_48_31" + "State_50_9" + "State_12_1" + "State_46_20" + "State_46_28" + "State_18_20" + "State_8_0" + "State_0_31" + "State_48_8" + "State_5_48" + "State_32_9" + "State_15_37" + "State_26_32" + "State_13_19" + "State_50_6" + "State_38_17" + "State_10_20" + "State_27_35" + "State_13_12" + "State_8_12" + "State_26_23" + "State_34_39" + "State_14_34" + "State_17_36" + "State_32_20" + "State_32_12" + "State_41_30" + "State_43_28" + "State_17_25" + "State_10_46" + "State_25_9" + "State_1_0" + "State_50_19" + "State_35_28" + "State_30_45" + "State_25_12" + "State_7_5" + "State_1_27" + "State_35_7" + "State_13_35" + "State_19_23" + "State_1_25" + "State_35_50" + "State_15_18" + "State_17_46" + "State_18_5" + "State_36_44" + "State_29_18" + "State_27_48" + "State_48_39" + "State_13_45" + "State_6_37" + "State_40_1" + "State_45_40" + "State_30_29" + "State_24_4" + "State_2_29" + "State_18_30" + "State_8_22" + "State_22_22" + "State_23_30" + "State_8_18" + "State_5_6" + "State_49_22" + "State_4_10" + "State_12_41" + "State_36_25" + "State_12_6" + "State_30_43" + "State_28_50" + "State_33_6" + "State_36_48" + "State_47_32" + "State_35_5" + "State_5_44" + "State_49_3" + "State_36_11" + "State_14_17" + "State_12_43" + "State_50_18" + "State_46_12" + "State_36_30" + "State_7_4" + "State_26_7" + "State_42_22" + "State_6_33" + "State_20_45" + "State_43_18" + "State_42_41" + "State_31_11" + "State_24_24" + "State_24_33" + "State_0_0" + "State_49_48" + "State_6_10" + "State_40_7" + "State_46_50" + "State_45_11" + "State_40_15" + "State_27_39" + "State_2_26" + "State_41_45" + "State_31_49" + "State_37_20" + "State_18_31" + "State_23_38" + "State_17_37" + "State_22_12" + "State_17_2" + "State_23_20" + "State_14_26" + "State_22_18" + "State_36_18" + "State_48_29" + "State_41_2" + "State_37_8" + "State_30_8" + "State_43_29" + "State_25_5" + "State_12_29" + "State_8_44" + "State_50_21" + "State_28_28" + "State_9_42" + "State_8_30" + "State_31_31" + "State_23_29" + "State_7_22" + "State_43_43" + "State_48_3" + "State_41_38" + "State_18_28" + "State_23_10" + "State_43_4" + "State_22_1" + "State_16_10" + "State_3_49" + "State_8_28" + "State_30_6" + "State_25_32" + "State_7_36" + "State_12_14" + "State_22_43" + "State_11_3" + "State_4_40" + "State_11_34" + "State_35_33" + "State_2_3" + "State_24_37" + "State_18_44" + "State_22_13" + "State_25_50" + "State_15_50" + "State_31_45" + "State_31_27" + "State_25_28" + "State_12_47" + "State_1_18" + "State_30_32" + "State_3_47" + "State_0_5" + "State_17_15" + "State_15_9" + "State_40_35" + "State_41_41" + "State_37_32" + "State_40_29" + "State_31_47" + "State_2_6" + "State_3_8" + "State_0_3" + "State_27_8" + "State_46_30" + "State_21_18" + "State_19_42" + "State_0_17" + "State_37_25" + "State_23_6" + "State_37_39" + "State_30_3" + "State_29_31" + "State_48_36" + "State_44_21" + "State_5_1" + "State_18_50" + "State_5_47" + "State_47_8" + "State_36_46" + "State_48_34" + "State_22_11" + "State_46_37" + "State_19_14" + "State_6_7" + "State_19_24" + "State_47_0" + "State_16_48" + "State_5_24" + "State_16_26" + "State_26_30" + "State_0_7" + "State_16_49" + "State_4_37" + "State_28_11" + "State_45_15" + "State_15_43" + "State_21_11" + "State_45_17" + "State_26_8" + "State_32_16" + "State_12_8" + "State_41_19" + "State_47_24" + "State_3_16" + "State_43_33" + "State_39_3" + "State_4_33" + "State_26_49" + "State_41_42" + "State_14_33" + "State_17_5" + "State_44_25" + "State_8_2" + "State_35_19" + "State_7_18" + "State_44_2" + "State_8_16" + "State_21_19" + "State_36_13" + "State_3_39" + "State_0_24" + "State_33_48" + "State_33_2" + "State_23_23" + "State_9_13" + "State_25_35" + "State_13_31" + "State_34_31" + "State_39_36" + "State_50_1" + "State_18_42" + "State_11_11" + "State_30_47" + "State_28_39" + "State_23_48" + "State_4_38" + "State_28_19" + "State_8_40" + "State_3_15" + "State_17_8" + "State_20_36" + "State_37_21" + "State_0_44" + "State_50_13" + "State_27_25" + "State_23_16" + "State_16_21" + "State_16_4" + "State_12_15" + "State_7_19" + "State_42_23" + "State_41_24" + "State_49_49" + "State_0_42" + "State_13_30" + "State_39_34" + "State_31_15" + "State_9_34" + "State_33_1" + "State_26_48" + "State_50_7" + "State_35_42" + "State_7_50" + "State_44_49" + "State_28_42" + "State_46_5" + "State_23_13" + "State_42_24" + "State_32_41" + "State_46_44" + "State_14_24" + "State_37_34" + "State_2_36" + "State_33_4" + "State_9_21" + "State_10_2" + "State_30_21" + "State_32_38") <= ("State_27_28" + "State_22_47" + "State_22_45" + "State_9_0" + "State_42_33" + "State_20_3" + "State_48_32" + "State_40_12" + "State_43_22" + "State_45_5" + "State_0_23" + "State_30_18" + "State_4_20" + "State_21_45" + "State_7_46" + "State_34_23" + "State_5_12" + "State_21_31" + "State_31_12" + "State_48_50" + "State_48_14" + "State_27_40" + "State_41_14" + "State_43_3" + "State_28_44" + "State_21_39" + "State_36_47" + "State_2_18" + "State_20_14" + "State_50_45" + "State_36_40" + "State_12_36" + "State_27_46" + "State_46_0" + "State_47_12" + "State_22_14" + "State_26_46" + "State_6_44" + "State_43_50" + "State_41_6" + "State_22_28" + "State_27_4" + "State_3_50" + "State_16_18" + "State_49_11" + "State_14_9" + "State_50_3" + "State_6_17" + "State_33_50" + "State_36_28" + "State_13_28" + "State_33_30" + "State_43_7" + "State_35_18" + "State_18_11" + "State_26_5" + "State_22_3" + "State_45_46" + "State_38_8" + "State_36_5" + "State_44_30" + "State_23_17" + "State_15_23" + "State_29_3" + "State_12_46" + "State_7_35" + "State_32_33" + "State_3_40" + "State_18_29" + "State_6_4" + "State_16_30" + "State_18_16" + "State_38_22" + "State_9_41" + "State_45_12" + "State_3_48" + "State_5_45" + "State_50_28" + "State_34_44" + "State_47_19" + "State_14_22" + "State_33_9" + "State_4_6" + "State_6_48" + "State_11_25" + "State_6_23" + "State_7_33" + "State_0_30" + "State_3_38" + "State_38_50" + "State_34_48" + "State_13_6" + "State_16_7" + "State_2_43" + "State_13_47" + "State_46_11" + "State_20_4" + "State_7_7" + "State_24_48" + "State_29_23" + "State_6_15" + "State_37_37" + "State_34_41" + "State_29_14" + "State_44_10" + "State_31_44" + "State_26_20" + "State_45_44" + "State_7_37" + "State_20_8" + "State_5_9" + "State_40_19" + "State_34_2" + "State_29_20" + "State_39_11" + "State_12_45" + "State_0_22" + "State_39_20" + "State_44_18" + "State_1_23" + "State_19_0" + "State_22_35" + "State_23_21" + "State_12_34" + "State_9_8" + "State_2_34" + "State_3_44" + "State_12_35" + "State_46_16" + "State_9_25" + "State_26_2" + "State_15_20" + "State_2_25" + "State_49_18" + "State_9_2" + "State_44_38" + "State_28_0" + "State_24_9" + "State_41_1" + "State_29_22" + "State_22_16" + "State_35_35" + "State_25_33" + "State_36_3" + "State_2_21" + "State_40_20" + "State_8_13" + "State_49_40" + "State_41_15" + "State_1_26" + "State_49_45" + "State_13_38" + "State_41_9" + "State_24_38" + "State_40_45" + "State_31_38" + "State_10_31" + "State_29_36" + "State_0_11" + "State_27_41" + "State_47_47" + "State_16_25" + "State_9_17" + "State_14_37" + "State_43_31" + "State_34_15" + "State_28_43" + "State_21_43" + "State_22_34" + "State_38_36" + "State_37_0" + "State_7_27" + "State_43_35" + "State_4_29" + "State_11_16" + "State_13_1" + "State_43_48" + "State_35_13" + "State_1_21" + "State_5_2" + "State_36_39" + "State_13_29" + "State_39_19" + "State_47_21" + "State_4_47" + "State_16_12" + "State_6_49" + "State_43_26" + "State_16_15" + "State_38_48" + "State_25_2" + "State_3_35" + "State_4_42" + "State_2_5" + "State_3_6" + "State_41_28" + "State_27_19" + "State_39_17" + "State_14_23" + "State_50_16" + "State_50_4" + "State_47_34" + "State_10_11" + "State_21_27" + "State_19_32" + "State_42_27" + "State_0_39" + "State_32_45" + "State_49_6" + "State_0_32" + "State_24_10" + "State_42_43" + "State_2_46" + "State_6_18" + "State_15_3" + "State_10_36" + "State_17_0" + "State_22_24" + "State_49_33" + "State_48_4" + "State_29_40" + "State_17_49" + "State_1_1" + "State_37_27" + "State_28_27" + "State_35_1" + "State_20_21" + "State_25_7" + "State_7_13" + "State_12_19" + "State_25_48" + "State_10_40" + "State_20_11" + "State_11_24" + "State_0_8" + "State_20_41" + "State_3_34" + "State_41_29" + "State_0_28" + "State_25_45" + "State_45_49" + "State_44_46" + "State_23_12" + "State_1_3" + "State_1_11" + "State_33_24" + "State_42_13" + "State_21_1" + "State_17_44" + "State_45_34" + "State_34_4" + "State_7_40" + "State_29_16" + "State_5_30" + "State_13_50" + "State_2_8" + "State_11_14" + "State_5_28" + "State_17_13" + "State_31_6" + "State_36_19" + "State_15_26" + "State_48_11" + "State_47_36" + "State_44_26" + "State_23_15" + "State_17_17" + "State_27_29" + "State_40_14" + "State_23_46" + "State_5_32" + "State_44_17" + "State_45_13" + "State_3_31" + "State_8_5" + "State_42_1" + "State_48_23" + "State_10_50" + "State_36_42" + "State_28_23" + "State_14_32" + "State_13_15" + "State_38_42" + "State_3_0" + "State_24_17" + "State_7_10" + "State_30_17" + "State_46_29" + "State_30_34" + "State_47_16" + "State_36_37" + "State_0_50" + "State_34_49" + "State_9_20" + "State_3_43" + "State_37_22" + "State_12_2" + "State_14_43" + "State_18_2" + "State_47_37" + "State_30_26" + "State_50_24" + "State_28_24" + "State_43_20" + "State_19_2" + "State_37_31" + "State_14_38" + "State_4_35" + "State_24_0" + "State_29_21" + "State_8_19" + "State_8_3" + "State_21_22" + "State_20_23" + "State_13_37" + "State_39_25" + "State_0_16" + "State_20_50" + "State_14_1" + "State_24_13" + "State_43_2" + "State_42_38" + "State_32_29" + "State_22_40" + "State_40_36" + "State_27_5" + "State_36_24" + "State_19_36" + "State_11_42" + "State_33_10" + "State_11_44" + "State_40_31" + "State_14_13" + "State_32_7" + "State_22_6" + "State_15_48" + "State_41_4" + "State_49_1" + "State_48_49" + "State_15_46" + "State_16_50" + "State_7_47" + "State_33_28" + "State_1_31" + "State_30_36" + "State_43_10" + "State_6_12" + "State_29_1" + "State_11_45" + "State_15_41" + "State_15_10" + "State_45_23" + "State_30_28" + "State_43_8" + "State_27_37" + "State_10_8" + "State_21_20" + "State_31_34" + "State_22_25" + "State_19_21" + "State_23_5" + "State_13_27" + "State_28_49" + "State_15_12" + "State_21_16" + "State_6_31" + "State_16_28" + "State_20_31" + "State_7_29" + "State_15_30" + "State_45_0" + "State_39_47" + "State_42_15" + "State_7_17" + "State_44_15" + "State_33_7" + "State_20_49" + "State_49_14" + "State_23_3" + "State_1_19" + "State_30_16" + "State_18_45" + "State_44_22" + "State_6_32" + "State_10_21" + "State_19_28" + "State_24_18" + "State_49_16" + "State_43_37" + "State_47_50" + "State_29_39" + "State_14_6" + "State_6_27" + "State_26_4" + "State_35_23" + "State_30_22" + "State_9_3" + "State_6_9" + "State_0_4" + "State_26_42" + "State_15_15" + "State_46_48" + "State_40_9" + "State_44_47" + "State_30_14" + "State_42_7" + "State_16_5" + "State_29_26" + "State_46_39" + "State_3_42" + "State_10_0" + "State_50_8" + "State_34_10" + "State_26_31" + "State_48_43" + "State_18_37" + "State_7_23" + "State_38_0" + "State_35_41" + "State_39_44" + "State_37_12" + "State_12_4" + "State_25_24" + "State_40_33" + "State_11_39" + "State_14_47" + "State_38_30" + "State_48_37" + "State_31_0" + "State_1_20" + "State_14_4" + "State_7_6" + "State_38_11" + "State_9_36" + "State_39_24" + "State_30_46" + "State_28_32" + "State_6_41" + "State_10_30" + "State_47_9" + "State_40_16" + "State_30_12" + "State_39_45" + "State_19_16" + "State_12_20" + "State_34_38" + "State_17_7" + "State_23_43" + "State_43_30" + "State_32_35" + "State_36_8" + "State_18_39" + "State_9_26" + "State_8_1" + "State_15_35" + "State_38_40" + "State_0_6" + "State_37_46" + "State_48_44" + "State_31_18" + "State_39_12" + "State_33_20" + "State_46_45" + "State_4_46" + "State_21_6" + "State_26_34" + "State_37_3" + "State_23_49" + "State_40_34" + "State_0_47" + "State_49_47" + "State_5_37" + "State_35_6" + "State_1_14" + "State_49_43" + "State_8_24" + "State_11_48" + "State_20_27" + "State_16_0" + "State_16_20" + "State_28_8" + "State_33_15" + "State_28_47" + "State_9_5" + "State_3_25" + "State_50_35" + "State_22_19" + "State_28_6" + "State_21_29" + "State_42_6" + "State_32_48" + "State_36_26" + "State_46_42" + "State_46_21" + "State_24_46" + "State_36_17" + "State_19_8" + "State_13_9" + "State_47_28" + "State_12_24" + "State_39_16" + "State_12_42" + "State_29_11" + "State_30_5" + "State_9_35" + "State_45_43" + "State_24_30" + "State_16_13" + "State_15_40" + "State_40_23" + "State_34_18" + "State_13_32" + "State_37_26" + "State_40_11" + "State_11_38" + "State_9_49" + "State_29_30" + "State_43_15" + "State_43_27" + "State_42_20" + "State_24_22" + "State_10_25" + "State_5_36" + "State_31_7" + "State_6_38" + "State_30_40" + "State_14_35" + "State_5_15" + "State_35_8" + "State_31_14" + "State_25_42" + "State_17_24" + "State_13_18" + "State_0_43" + "State_30_24" + "State_24_5" + "State_10_12" + "State_5_50" + "State_45_22" + "State_49_41" + "State_15_1" + "State_15_22" + "State_44_5" + "State_30_0" + "State_19_19" + "State_34_13" + "State_30_39" + "State_10_14" + "State_1_46" + "State_17_12" + "State_30_19" + "State_27_9" + "State_20_9" + "State_36_27" + "State_34_27" + "State_10_39" + "State_11_20" + "State_19_39" + "State_12_33" + "State_0_49" + "State_40_4" + "State_19_37" + "State_48_12" + "State_50_27" + "State_8_10" + "State_22_44" + "State_46_14" + "State_50_25" + "State_20_32" + "State_31_2" + "State_1_10" + "State_24_45" + "State_34_37" + "State_24_7" + "State_45_7" + "State_38_2" + "State_43_40" + "State_46_34" + "State_17_14" + "State_38_7" + "State_2_35" + "State_35_32" + "State_43_1" + "State_20_44" + "State_28_21" + "State_24_15" + "State_1_16" + "State_20_2" + "State_45_2" + "State_49_29" + "State_25_17" + "State_21_40" + "State_2_0" + "State_31_23" + "State_36_22" + "State_4_27" + "State_25_0" + "State_27_32" + "State_37_19" + "State_14_36" + "State_44_42" + "State_25_13" + "State_1_41" + "State_24_12" + "State_18_19" + "State_29_43" + "State_21_41" + "State_6_2" + "State_20_34" + "State_29_27" + "State_25_39" + "State_6_20" + "State_28_35" + "State_29_17" + "State_2_45" + "State_26_37" + "State_38_21" + "State_19_44" + "State_3_23" + "State_21_47" + "State_24_2" + "State_30_50" + "State_26_33" + "State_39_14" + "State_10_16" + "State_46_26" + "State_48_16" + "State_8_26" + "State_43_49" + "State_1_8" + "State_49_32" + "State_4_34" + "State_47_11" + "State_43_13" + "State_37_5" + "State_25_44" + "State_48_6" + "State_0_21" + "State_38_25" + "State_12_44" + "State_39_48" + "State_4_7" + "State_41_18" + "State_23_22" + "State_15_31" + "State_23_35" + "State_48_41" + "State_48_19" + "State_44_50" + "State_39_21" + "State_39_39" + "State_27_26" + "State_44_28" + "State_35_24" + "State_1_47" + "State_19_50" + "State_3_12" + "State_15_0" + "State_31_20" + "State_31_40" + "State_26_41" + "State_5_22" + "State_40_24" + "State_39_38" + "State_27_22" + "State_29_44" + "State_29_47" + "State_47_44" + "State_0_19" + "State_30_1" + "State_27_50" + "State_5_11" + "State_41_16" + "State_47_38" + "State_42_10" + "State_36_36" + "State_42_18" + "State_38_5" + "State_6_22" + "State_19_11" + "State_41_33" + "State_4_23" + "State_46_22" + "State_42_35" + "State_1_40" + "State_27_31" + "State_25_38" + "State_23_27" + "State_12_37" + "State_29_46" + "State_27_16" + "State_32_31" + "State_34_1" + "State_18_26" + "State_15_13" + "State_38_19" + "State_29_28" + "State_24_14" + "State_39_4" + "State_35_29" + "State_38_14" + "State_37_43" + "State_50_36" + "State_28_17" + "State_27_43" + "State_15_8" + "State_38_12" + "State_33_45" + "State_36_50" + "State_0_15" + "State_6_13" + "State_35_10" + "State_13_23" + "State_14_18" + "State_8_8" + "State_13_4" + "State_44_8" + "State_32_34" + "State_17_3" + "State_39_0" + "State_7_9" + "State_5_39" + "State_5_38" + "State_23_18" + "State_18_7" + "State_9_46" + "State_2_1" + "State_6_29" + "State_24_28" + "State_20_1" + "State_34_6" + "State_35_37" + "State_21_15" + "State_12_32" + "State_16_42" + "State_22_8" + "State_1_43" + "State_16_17" + "State_31_48" + "State_7_24" + "State_41_36" + "State_50_32" + "State_5_18" + "State_28_10" + "State_10_45" + "State_20_6" + "State_24_40" + "State_21_10" + "State_14_15" + "State_11_7" + "State_7_30" + "State_38_47" + "State_25_25" + "State_34_16" + "State_38_46" + "State_7_15" + "State_6_6" + "State_18_46" + "State_33_38" + "State_34_20" + "State_44_0" + "State_34_40" + "State_45_19" + "State_37_48" + "State_15_49" + "State_13_42" + "State_38_45" + "State_48_9" + "State_12_11" + "State_26_13" + "State_41_47" + "State_37_42" + "State_45_24" + "State_23_31" + "State_50_44" + "State_40_44" + "State_21_50" + "State_2_24" + "State_12_9" + "State_22_36" + "State_28_26" + "State_47_17" + "State_29_8" + "State_20_16" + "State_36_32" + "State_46_17" + "State_24_29" + "State_35_30" + "State_37_49" + "State_11_2" + "State_20_38" + "State_6_47" + "State_29_12" + "State_11_21" + "State_8_50" + "State_9_43" + "State_11_19" + "State_33_11" + "State_24_3" + "State_2_37" + "State_14_27" + "State_41_25" + "State_32_23" + "State_49_10" + "State_47_39" + "State_10_5" + "State_43_46" + "State_27_33" + "State_26_9" + "State_49_30" + "State_12_13" + "State_41_50" + "State_1_29" + "State_37_35" + "State_34_9" + "State_22_0" + "State_11_4" + "State_27_36" + "State_7_1" + "State_2_14" + "State_26_11" + "State_11_5" + "State_30_7" + "State_27_24" + "State_15_47" + "State_12_38" + "State_9_10" + "State_27_20" + "State_14_20" + "State_21_30" + "State_43_23" + "State_18_12" + "State_28_12" + "State_41_20" + "State_18_48" + "State_31_39" + "State_4_49" + "State_20_35" + "State_38_26" + "State_33_47" + "State_19_38" + "State_19_45" + "State_2_50" + "State_0_36" + "State_37_1" + "State_35_3" + "State_29_5" + "State_29_29" + "State_34_43" + "State_49_37" + "State_24_34" + "State_20_47" + "State_14_46" + "State_0_10" + "State_49_8" + "State_14_49" + "State_20_33" + "State_23_2" + "State_47_45" + "State_37_2" + "State_18_14" + "State_18_4" + "State_25_49" + "State_1_30" + "State_16_1" + "State_35_15" + "State_43_5" + "State_2_28" + "State_19_13" + "State_43_0" + "State_30_23" + "State_10_26" + "State_26_45" + "State_31_35" + "State_8_36" + "State_0_41" + "State_1_44" + "State_16_22" + "State_44_1" + "State_1_5" + "State_5_13" + "State_34_35" + "State_4_0" + "State_42_49" + "State_4_5" + "State_13_33" + "State_47_14" + "State_16_43" + "State_37_17" + "State_27_11" + "State_15_5" + "State_27_1" + "State_44_7" + "State_28_15" + "State_44_45" + "State_35_43" + "State_14_10" + "State_24_39" + "State_35_12" + "State_26_38" + "State_11_37" + "State_1_33" + "State_29_19" + "State_10_7" + "State_46_47" + "State_16_40" + "State_1_48" + "State_29_41" + "State_42_37" + "State_19_29" + "State_15_6" + "State_24_20" + "State_14_3" + "State_18_41" + "State_21_4" + "State_47_29" + "State_50_43" + "State_28_36" + "State_17_26" + "State_18_21" + "State_29_33" + "State_23_42" + "State_38_39" + "State_9_14" + "State_17_34" + "State_43_32" + "State_45_3" + "State_35_49" + "State_3_32" + "State_10_41" + "State_22_20" + "State_42_12" + "State_21_32" + "State_37_45" + "State_4_12" + "State_6_42" + "State_17_43" + "State_7_3" + "State_5_7" + "State_13_25" + "State_33_18" + "State_20_19" + "State_32_14" + "State_44_27" + "State_16_45" + "State_17_35" + "State_5_27" + "State_48_1" + "State_48_35" + "State_42_44" + "State_12_31" + "State_21_9" + "State_6_35" + "State_34_29" + "State_35_26" + "State_23_25" + "State_10_48" + "State_12_27" + "State_9_24" + "State_1_6" + "State_29_6" + "State_2_23" + "State_35_9" + "State_3_41" + "State_22_27" + "State_9_31" + "State_49_21" + "State_42_36" + "State_46_4" + "State_4_25" + "State_19_7" + "State_32_49" + "State_22_50" + "State_27_45" + "State_34_34" + "State_8_15" + "State_50_42" + "State_39_9" + "State_12_16" + "State_22_39" + "State_43_34" + "State_40_38" + "State_31_25" + "State_4_30" + "State_45_26" + "State_46_2" + "State_41_17" + "State_35_22" + "State_12_22" + "State_33_13" + "State_19_33" + "State_45_35" + "State_11_50" + "State_19_1" + "State_41_10" + "State_32_37" + "State_18_9" + "State_11_9" + "State_37_14" + "State_27_10" + "State_34_17" + "State_47_1" + "State_0_26" + "State_13_39" + "State_44_39" + "State_12_23" + "State_17_39" + "State_22_10" + "State_16_3" + "State_5_23" + "State_42_31" + "State_21_2" + "State_36_41" + "State_49_20" + "State_22_23" + "State_26_22" + "State_28_4" + "State_50_0" + "State_9_30" + "State_20_37" + "State_19_6" + "State_4_18" + "State_49_12" + "State_24_31" + "State_36_43" + "State_3_22" + "State_40_25" + "State_20_26" + "State_49_15" + "State_27_17" + "State_23_40" + "State_42_32" + "State_17_22" + "State_32_39" + "State_24_19" + "State_39_41" + "State_47_33" + "State_10_19" + "State_42_3" + "State_5_42" + "State_10_33" + "State_18_38" + "State_26_43" + "State_50_38" + "State_2_39" + "State_16_39" + "State_32_44" + "State_25_34" + "State_17_19" + "State_31_19" + "State_49_5" + "State_4_13" + "State_33_32" + "State_3_2" + "State_19_4" + "State_50_30" + "State_15_27" + "State_13_11" + "State_40_48" + "State_13_40" + "State_26_6" + "State_49_50" + "State_21_28" + "State_9_44" + "State_11_36" + "State_21_21" + "State_33_25" + "State_40_2" + "State_32_5" + "State_39_26" + "State_23_14" + "State_25_26" + "State_24_42" + "State_7_49" + "State_35_31" + "State_28_16" + "State_4_11" + "State_37_38" + "State_20_24" + "State_48_24" + "State_46_41" + "State_8_43" + "State_8_41" + "State_28_22" + "State_41_39" + "State_1_28" + "State_3_14" + "State_45_31" + "State_3_37" + "State_50_23" + "State_32_30" + "State_14_44" + "State_9_45" + "State_32_42" + "State_39_42" + "State_35_21" + "State_29_37" + "State_48_48" + "State_47_13" + "State_14_2" + "State_40_42" + "State_4_44" + "State_49_28" + "State_44_40" + "State_21_8" + "State_40_21" + "State_42_16" + "State_39_5" + "State_41_11" + "State_36_10" + "State_4_32" + "State_35_36" + "State_25_3" + "State_6_43" + "State_3_20" + "State_5_40" + "State_32_2" + "State_50_10" + "State_33_40" + "State_46_19" + "State_38_4" + "State_14_28" + "State_4_48" + "State_40_13" + "State_41_37" + "State_44_3" + "State_27_30" + "State_4_45" + "State_7_8" + "State_1_35" + "State_38_24" + "State_47_6" + "State_31_46" + "State_36_12" + "State_42_5" + "State_32_28" + "State_19_12" + "State_36_1" + "State_16_6" + "State_44_29" + "State_22_49" + "State_6_46" + "State_12_25" + "State_1_9" + "State_39_50" + "State_18_18" + "State_49_46" + "State_8_34" + "State_41_8" + "State_45_27" + "State_29_9" + "State_45_48" + "State_2_19" + "State_25_43" + "State_46_18" + "State_25_18" + "State_28_41" + "State_38_33" + "State_20_7" + "State_11_27" + "State_16_46" + "State_16_29" + "State_32_18" + "State_28_33" + "State_0_33" + "State_34_8" + "State_16_36" + "State_45_1" + "State_46_33" + "State_20_25" + "State_47_43" + "State_10_37" + "State_23_0" + "State_37_30" + "State_37_44" + "State_37_6" + "State_26_14" + "State_11_18" + "State_33_14" + "State_48_33" + "State_18_13" + "State_35_20" + "State_44_20" + "State_30_20" + "State_40_49" + "State_5_25" + "State_41_13" + "State_13_20" + "State_42_28" + "State_13_7" + "State_35_17" + "State_9_38" + "State_45_45" + "State_18_34" + "State_47_20" + "State_6_3" + "State_45_38" + "State_35_11" + "State_21_33" + "State_11_28" + "State_43_47" + "State_42_11" + "State_46_40" + "State_20_48" + "State_32_40" + "State_4_14" + "State_16_27" + "State_13_2" + "State_50_50" + "State_5_0" + "State_44_32" + "State_38_41" + "State_22_30" + "State_3_5" + "State_50_47" + "State_34_36" + "State_48_26" + "State_26_35" + "State_41_40" + "State_37_29" + "State_45_39" + "State_21_5" + "State_50_12" + "State_14_42" + "State_22_32" + "State_6_8" + "State_18_40" + "State_10_24" + "State_25_36" + "State_12_21" + "State_41_44" + "State_49_36" + "State_29_50" + "State_8_45" + "State_44_14" + "State_7_21" + "State_27_38" + "State_9_6" + "State_9_29" + "State_9_48" + "State_10_23" + "State_4_17" + "State_33_23" + "State_17_45" + "State_11_26" + "State_18_17" + "State_2_27" + "State_21_46" + "State_36_38" + "State_21_36" + "State_1_4" + "State_33_8" + "State_5_17" + "State_43_6" + "State_21_35" + "State_45_9" + "State_48_17" + "State_33_0" + "State_14_5" + "State_49_35" + "State_42_0" + "State_47_4" + "State_6_26" + "State_15_42" + "State_38_23" + "State_4_31" + "State_41_12" + "State_13_41" + "State_24_23" + "State_32_50" + "State_19_17" + "State_36_15" + "State_13_16" + "State_13_10" + "State_34_3" + "State_50_49" + "State_32_43" + "State_2_48" + "State_27_44" + "State_16_35" + "State_11_32" + "State_22_15" + "State_32_47" + "State_26_21" + "State_11_35" + "State_50_15" + "State_50_5" + "State_18_22" + "State_7_44" + "State_6_34" + "State_4_22" + "State_19_41" + "State_22_2" + "State_19_20" + "State_29_48" + "State_12_49" + "State_12_5" + "State_14_39" + "State_34_32" + "State_22_42" + "State_11_33" + "State_41_32" + "State_49_25" + "State_25_11" + "State_15_34" + "State_0_37" + "State_7_11" + "State_39_28" + "State_18_43" + "State_7_39" + "State_32_19" + "State_46_9" + "State_14_50" + "State_15_16" + "State_36_20" + "State_26_29" + "State_27_6" + "State_24_36" + "State_48_21" + "State_0_9" + "State_12_12" + "State_8_20" + "State_36_7" + "State_0_35" + "State_32_27" + "State_14_40" + "State_13_44" + "State_3_29" + "State_46_24" + "State_3_33" + "State_32_24" + "State_40_39" + "State_50_29" + "State_48_2" + "State_9_1" + "State_21_7" + "State_25_40" + "State_31_42" + "State_0_1" + "State_48_25" + "State_37_41" + "State_0_25" + "State_45_41" + "State_46_13" + "State_28_37" + "State_50_48" + "State_48_15" + "State_31_5" + "State_34_26" + "State_40_37" + "State_32_13" + "State_21_37" + "State_26_47" + "State_45_42" + "State_42_40" + "State_10_32" + "State_41_49" + "State_46_1" + "State_26_18" + "State_34_21" + "State_18_6" + "State_44_31" + "State_23_24" + "State_20_17" + "State_25_22" + "State_14_11" + "State_36_14" + "State_2_15" + "State_25_27" + "State_4_16" + "State_46_27" + "State_11_22" + "State_43_36" + "State_4_2" + "State_27_47" + "State_30_10" + "State_44_35" + "State_15_14" + "State_9_12" + "State_37_24" + "State_29_42" + "State_5_34" + "State_29_4" + "State_33_34" + "State_4_19" + "State_32_11" + "State_28_1" + "State_18_1" + "State_45_28" + "State_38_9" + "State_24_44" + "State_30_25" + "State_16_8" + "State_20_15" + "State_12_30" + "State_27_21" + "State_49_42" + "State_24_41" + "State_39_18" + "State_4_28" + "State_39_43" + "State_42_8" + "State_24_50" + "State_12_48" + "State_10_10" + "State_13_8" + "State_44_6" + "State_17_18" + "State_19_26" + "State_29_2" + "State_29_7" + "State_3_10" + "State_27_13" + "State_45_29" + "State_22_48" + "State_38_38" + "State_39_35" + "State_22_46" + "State_0_40" + "State_12_26" + "State_39_40" + "State_23_19" + "State_1_32" + "State_32_0" + "State_19_9" + "State_8_47" + "State_47_2" + "State_32_46" + "State_24_32" + "State_23_34" + "State_11_40" + "State_13_21" + "State_14_0" + "State_26_17" + "State_0_38" + "State_39_33" + "State_40_5" + "State_27_15" + "State_10_9" + "State_41_21" + "State_9_19" + "State_23_8" + "State_3_36" + "State_41_5" + "State_9_15" + "State_7_31" + "State_8_14" + "State_13_13" + "State_7_43" + "State_47_41" + "State_18_24" + "State_3_18" + "State_41_27" + "State_40_17" + "State_1_45" + "State_37_10" + "State_50_46" + "State_39_2" + "State_15_32" + "State_31_29" + "State_44_19" + "State_16_41" + "State_49_44" + "State_12_3" + "State_17_28" + "State_50_20" + "State_18_33" + "State_27_49" + "State_36_6" + "State_30_4" + "State_10_27" + "State_9_47" + "State_47_26" + "State_50_37" + "State_5_26" + "State_7_45" + "State_19_10" + "State_40_3" + "State_30_9" + "State_14_31" + "State_29_10" + "State_33_39" + "State_4_24" + "State_48_0" + "State_12_7" + "State_26_28" + "State_3_27" + "State_32_8" + "State_10_4" + "State_22_33" + "State_8_6" + "State_13_17" + "State_32_1" + "State_5_46" + "State_17_48" + "State_2_12" + "State_17_38" + "State_48_38" + "State_14_16" + "State_33_36" + "State_39_23" + "State_3_17" + "State_30_2" + "State_42_50" + "State_26_25" + "State_46_8" + "State_11_43" + "State_35_27" + "State_7_16" + "State_39_7" + "State_28_9" + "State_35_45" + "State_8_46" + "State_2_4" + "State_34_14" + "State_31_33" + "State_30_15" + "State_6_21" + "State_10_44" + "State_17_31" + "State_25_23" + "State_1_22" + "State_34_46" + "State_14_45" + "State_47_10" + "State_30_30" + "State_43_16" + "State_23_41" + "State_4_1" + "State_37_7" + "State_43_11" + "State_39_8" + "State_8_29" + "State_40_28" + "State_42_48" + "State_7_48" + "State_6_30" + "State_43_17" + "State_3_19" + "State_40_47" + "State_17_6" + "State_45_14" + "State_15_21" + "State_2_32" + "State_47_22" + "State_29_35" + "State_10_38" + "State_2_10" + "State_25_31" + "State_11_23" + "State_18_35" + "State_5_14" + "State_2_40" + "State_40_18" + "State_23_9" + "State_36_16" + "State_33_12" + "State_35_47" + "State_41_0" + "State_31_28" + "State_30_41" + "State_3_46" + "State_42_39" + "State_46_7" + "State_36_29" + "State_44_43" + "State_21_25" + "State_34_22" + "State_19_3" + "State_22_29" + "State_38_10" + "State_41_46" + "State_22_5" + "State_10_17" + "State_11_12" + "State_24_27" + "State_38_44" + "State_24_49" + "State_12_40" + "State_40_30" + "State_15_11" + "State_35_44" + "State_25_20" + "State_25_14" + "State_3_28" + "State_3_13" + "State_13_36" + "State_13_5" + "State_39_31" + "State_42_45" + "State_6_25" + "State_45_47" + "State_12_28" + "State_11_30" + "State_26_3" + "State_8_35" + "State_29_24" + "State_15_25" + "State_19_30" + "State_48_22" + "State_2_44" + "State_34_0" + "State_50_17" + "State_47_3" + "State_47_35" + "State_30_31" + "State_16_9" + "State_33_37" + "State_23_4" + "State_37_15" + "State_47_30" + "State_26_36" + "State_33_3" + "State_5_3" + "State_10_13" + "State_12_18" + "State_1_37" + "State_41_23" + "State_49_13" + "State_37_9" + "State_28_38" + "State_49_17" + "State_5_8" + "State_17_40" + "State_6_0" + "State_0_20" + "State_44_34" + "State_47_40" + "State_26_19" + "State_48_42" + "State_13_0" + "State_49_2" + "State_4_39" + "State_36_35" + "State_28_14" + "State_14_8" + "State_33_31" + "State_28_13" + "State_14_48" + "State_1_42" + "State_5_19" + "State_40_27" + "State_30_49" + "State_24_1" + "State_41_26" + "State_25_41" + "State_28_7" + "State_20_30" + "State_27_0" + "State_19_40" + "State_40_32" + "State_1_15" + "State_4_43" + "State_26_26" + "State_21_38" + "State_17_29" + "State_44_12" + "State_44_16" + "State_13_49" + "State_8_42" + "State_50_26" + "State_9_9" + "State_24_43" + "State_45_32" + "State_46_35" + "State_29_25" + "State_48_20" + "State_50_39" + "State_5_21" + "State_6_36" + "State_34_45" + "State_6_39" + "State_47_27" + "State_34_30" + "State_11_13" + "State_31_13" + "State_5_20" + "State_11_47" + "State_16_14" + "State_21_34" + "State_8_7" + "State_11_31" + "State_35_14" + "State_20_10" + "State_15_19" + "State_37_4" + "State_3_7" + "State_28_2" + "State_31_32" + "State_44_4" + "State_9_32" + "State_36_33" + "State_43_25" + "State_49_0" + "State_21_17" + "State_20_12" + "State_29_45" + "State_5_41" + "State_17_33" + "State_17_47" + "State_1_24" + "State_26_16" + "State_21_48" + "State_2_9" + "State_10_1" + "State_16_38" + "State_7_0" + "State_22_26" + "State_19_46" + "State_42_42" + "State_26_40" + "State_18_27" + "State_35_2" + "State_50_33" + "State_25_29" + "State_2_49" + "State_43_39" + "State_43_38" + "State_19_15" + "State_46_25" + "State_7_34" + "State_45_33" + "State_40_26" + "State_43_19" + "State_32_3" + "State_5_16" + "State_20_0" + "State_50_34" + "State_2_30" + "State_24_8" + "State_38_1" + "State_40_0" + "State_22_7" + "State_21_42" + "State_1_39" + "State_43_24" + "State_15_44" + "State_0_13" + "State_33_16" + "State_21_14" + "State_41_48" + "State_38_13" + "State_16_34" + "State_17_4" + "State_48_28" + "State_4_50" + "State_30_38" + "State_20_20" + "State_35_16" + "State_24_21" + "State_40_22" + "State_1_50" + "State_44_36" + "State_48_10" + "State_16_44" + "State_17_27" + "State_33_26" + "State_25_30" + "State_45_6" + "State_45_18" + "State_21_44" + "State_23_50" + "State_38_18" + "State_36_45" + "State_33_43" + "State_30_48" + "State_33_19" + "State_24_11" + "State_47_15" + "State_6_11" + "State_42_2" + "State_16_32" + "State_23_32" + "State_6_40" + "State_34_25" + "State_14_14" + "State_17_1" + "State_21_13" + "State_15_7" + "State_33_22" + "State_34_11" + "State_44_37" + "State_30_13" + "State_14_41" + "State_4_26" + "State_32_25" + "State_7_38" + "State_39_29" + "State_31_41" + "State_9_4" + "State_20_43" + "State_36_4" + "State_18_10" + "State_11_10" + "State_34_28" + "State_14_21" + "State_33_49" + "State_0_29" + "State_9_28" + "State_28_29" + "State_39_37" + "State_1_12" + "State_37_36" + "State_23_36" + "State_32_10" + "State_29_15" + "State_25_10" + "State_41_34" + "State_23_33" + "State_39_6" + "State_2_31" + "State_36_31" + "State_7_25" + "State_23_28" + "State_5_43" + "State_3_9" + "State_49_23" + "State_19_43" + "State_47_31" + "State_26_0" + "State_36_23" + "State_28_20" + "State_3_30" + "State_11_17" + "State_10_49" + "State_36_9" + "State_33_46" + "State_12_50" + "State_22_31" + "State_2_33" + "State_22_4" + "State_38_15" + "State_15_39" + "State_42_21" + "State_8_37" + "State_43_9" + "State_47_7" + "State_42_46" + "State_7_42" + "State_48_30" + "State_40_46" + "State_17_23" + "State_10_15" + "State_31_22" + "State_27_12" + "State_34_50" + "State_46_10" + "State_46_36" + "State_31_1" + "State_40_50" + "State_14_25" + "State_8_4" + "State_9_11" + "State_18_36" + "State_34_42" + "State_24_47" + "State_47_46" + "State_8_33" + "State_20_18" + "State_13_3" + "State_2_11" + "State_2_41" + "State_36_34" + "State_4_3" + "State_37_47" + "State_10_47" + "State_48_18" + "State_26_1" + "State_10_22" + "State_31_30" + "State_25_6" + "State_30_37" + "State_5_5" + "State_27_34" + "State_16_31" + "State_39_10" + "State_19_49" + "State_12_17" + "State_32_6" + "State_20_28" + "State_15_24" + "State_9_40" + "State_21_24" + "State_22_37" + "State_37_50" + "State_13_26" + "State_30_42" + "State_20_40" + "State_31_4" + "State_12_0" + "State_3_4" + "State_43_12" + "State_8_23" + "State_25_21" + "State_16_11" + "State_33_21" + "State_34_47" + "State_43_44" + "State_9_50" + "State_48_13" + "State_10_43" + "State_22_9" + "State_35_0" + "State_6_45" + "State_11_41" + "State_25_16" + "State_43_45" + "State_6_14" + "State_13_46" + "State_20_39" + "State_11_29" + "State_34_12" + "State_42_25" + "State_35_38" + "State_42_17" + "State_3_1" + "State_18_25" + "State_46_32" + "State_18_47" + "State_27_27" + "State_2_13" + "State_40_8" + "State_39_30" + "State_49_4" + "State_38_35" + "State_3_24" + "State_21_23" + "State_31_8" + "State_32_32" + "State_32_36" + "State_11_46" + "State_37_28" + "State_41_3" + "State_46_3" + "State_27_18" + "State_15_2" + "State_30_44" + "State_17_32" + "State_2_2" + "State_16_2" + "State_39_15" + "State_8_32" + "State_42_29" + "State_49_31" + "State_12_10" + "State_43_14" + "State_18_49" + "State_26_50" + "State_41_22" + "State_26_27" + "State_49_34" + "State_8_48" + "State_45_4" + "State_25_15" + "State_2_17" + "State_11_6" + "State_50_14" + "State_37_40" + "State_29_13" + "State_50_22" + "State_31_43" + "State_23_44" + "State_38_3" + "State_15_45" + "State_19_5" + "State_48_47" + "State_23_7" + "State_1_13" + "State_20_22" + "State_32_15" + "State_4_8" + "State_34_7" + "State_35_34" + "State_7_12" + "State_9_33" + "State_1_2" + "State_20_46" + "State_41_43" + "State_23_11" + "State_19_48" + "State_17_30" + "State_42_34" + "State_47_49" + "State_9_37" + "State_24_35" + "State_0_27" + "State_31_9" + "State_18_15" + "State_31_3" + "State_19_22" + "State_27_3" + "State_26_24" + "State_23_37" + "State_15_29" + "State_19_47" + "State_46_6" + "State_9_27" + "State_49_38" + "State_22_38" + "State_32_26" + "State_4_4" + "State_14_19" + "State_21_12" + "State_14_12" + "State_7_20" + "State_46_15" + "State_44_41" + "State_13_34" + "State_38_20" + "State_20_5" + "State_2_16" + "State_28_45" + "State_0_12" + "State_33_29" + "State_44_33" + "State_45_8" + "State_27_7" + "State_39_49" + "State_30_27" + "State_25_1" + "State_7_41" + "State_16_23" + "State_15_4" + "State_16_47" + "State_30_11" + "State_8_9" + "State_37_18" + "State_5_31" + "State_11_49" + "State_35_25" + "State_45_20" + "State_14_29" + "State_21_0" + "State_28_18" + "State_48_46" + "State_38_29" + "State_41_7" + "State_16_33" + "State_32_17" + "State_28_34" + "State_49_39" + "State_2_7" + "State_15_38" + "State_9_7" + "State_47_42" + "State_29_49" + "State_20_13" + "State_44_23" + "State_33_35" + "State_26_10" + "State_18_3" + "State_8_31" + "State_5_10" + "State_13_14" + "State_10_34" + "State_48_27" + "State_13_43" + "State_39_32" + "State_30_33" + "State_44_24" + "State_6_16" + "State_29_38" + "State_47_48" + "State_19_27" + "State_27_2" + "State_39_46" + "State_43_21" + "State_33_5" + "State_23_26" + "State_4_41" + "State_9_18" + "State_28_30" + "State_39_1" + "State_37_33" + "State_32_22" + "State_50_31" + "State_39_13" + "State_35_48" + "State_42_26" + "State_5_49" + "State_31_26" + "State_19_35" + "State_16_24" + "State_22_41" + "State_38_43" + "State_2_38" + "State_25_37" + "State_23_39" + "State_27_23" + "State_5_35" + "State_28_48" + "State_0_34" + "State_10_3" + "State_33_17" + "State_10_35" + "State_6_28" + "State_49_26" + "State_28_25" + "State_9_16" + "State_11_1" + "State_16_19" + "State_48_5" + "State_2_20" + "State_34_5" + "State_17_20" + "State_20_29" + "State_2_42" + "State_26_39" + "State_9_39" + "State_17_9" + "State_31_24" + "State_38_49" + "State_26_12" + "State_35_39" + "State_11_15" + "State_25_19" + "State_31_10" + "State_5_29" + "State_3_21" + "State_17_42" + "State_40_10" + "State_28_3" + "State_16_16" + "State_1_38" + "State_44_9" + "State_44_48" + "State_10_29" + "State_33_44" + "State_19_31" + "State_5_33" + "State_8_49" + "State_46_23" + "State_21_26" + "State_42_30" + "State_40_43" + "State_42_47" + "State_26_44" + "State_44_11" + "State_50_41" + "State_17_21" + "State_0_18" + "State_37_13" + "State_10_6" + "State_31_50" + "State_8_17" + "State_42_19" + "State_6_5" + "State_48_7" + "State_23_47" + "State_38_37" + "State_33_42" + "State_4_15" + "State_38_28" + "State_8_38" + "State_17_10" + "State_4_21" + "State_31_16" + "State_47_5" + "State_41_35" + "State_39_27" + "State_7_14" + "State_1_34" + "State_8_27" + "State_15_28" + "State_40_41" + "State_29_32" + "State_35_4" + "State_2_22" + "State_45_37" + "State_36_21" + "State_45_36" + "State_3_26" + "State_0_45" + "State_46_31" + "State_45_21" + "State_33_27" + "State_7_28" + "State_47_25" + "State_35_40" + "State_32_4" + "State_18_0" + "State_27_42" + "State_27_14" + "State_0_14" + "State_32_21" + "State_14_30" + "State_44_44" + "State_47_18" + "State_37_23" + "State_49_24" + "State_49_27" + "State_28_40" + "State_8_11" + "State_46_46" + "State_12_39" + "State_9_22" + "State_38_16" + "State_46_38" + "State_14_7" + "State_17_11" + "State_7_32" + "State_6_19" + "State_24_6" + "State_24_16" + "State_28_31" + "State_19_34" + "State_38_32" + "State_19_18" + "State_18_8" + "State_31_37" + "State_10_18" + "State_42_9" + "State_45_30" + "State_1_17" + "State_50_2" + "State_3_11" + "State_25_8" + "State_48_40" + "State_8_21" + "State_37_11" + "State_42_4" + "State_45_50" + "State_13_48" + "State_2_47" + "State_1_7" + "State_25_4" + "State_7_2" + "State_3_45" + "State_45_25" + "State_0_48" + "State_0_2" + "State_34_19" + "State_6_24" + "State_33_41" + "State_9_23" + "State_18_23" + "State_3_3" + "State_36_2" + "State_43_42" + "State_44_13" + "State_11_0" + "State_6_1" + "State_16_37" + "State_45_16" + "State_39_22" + "State_25_46" + "State_49_7" + "State_38_34" + "State_48_45" + "State_17_50" + "State_45_10" + "State_49_9" + "State_35_46" + "State_25_47" + "State_23_1" + "State_24_25" + "State_10_28" + "State_43_41" + "State_50_40" + "State_41_31" + "State_20_42" + "State_29_34" + "State_1_49" + "State_31_21" + "State_11_8" + "State_24_26" + "State_50_11" + "State_31_36" + "State_21_3" + "State_34_33" + "State_15_33" + "State_49_19" + "State_1_36" + "State_47_23" + "State_28_46" + "State_26_15" + "State_6_50" + "State_38_31" + "State_33_33" + "State_29_0" + "State_22_21" + "State_46_49" + "State_15_36" + "State_18_32" + "State_36_0" + "State_22_17" + "State_38_27" + "State_34_24" + "State_7_26" + "State_17_16" + "State_4_9" + "State_5_4" + "State_40_6" + "State_42_14" + "State_0_46" + "State_31_17" + "State_37_16" + "State_8_39" + "State_4_36" + "State_15_17" + "State_36_49" + "State_10_42" + "State_19_25" + "State_46_43" + "State_38_6" + "State_23_45" + "State_8_25" + "State_21_49" + "State_17_41" + "State_28_5" + "State_30_35" + "State_13_24" + "State_13_22" + "State_40_40" + "State_48_31" + "State_50_9" + "State_12_1" + "State_46_20" + "State_46_28" + "State_18_20" + "State_8_0" + "State_0_31" + "State_48_8" + "State_5_48" + "State_32_9" + "State_15_37" + "State_26_32" + "State_13_19" + "State_50_6" + "State_38_17" + "State_10_20" + "State_27_35" + "State_13_12" + "State_8_12" + "State_26_23" + "State_34_39" + "State_14_34" + "State_17_36" + "State_32_20" + "State_32_12" + "State_41_30" + "State_43_28" + "State_17_25" + "State_10_46" + "State_25_9" + "State_1_0" + "State_50_19" + "State_35_28" + "State_30_45" + "State_25_12" + "State_7_5" + "State_1_27" + "State_35_7" + "State_13_35" + "State_19_23" + "State_1_25" + "State_35_50" + "State_15_18" + "State_17_46" + "State_18_5" + "State_36_44" + "State_29_18" + "State_27_48" + "State_48_39" + "State_13_45" + "State_6_37" + "State_40_1" + "State_45_40" + "State_30_29" + "State_24_4" + "State_2_29" + "State_18_30" + "State_8_22" + "State_22_22" + "State_23_30" + "State_8_18" + "State_5_6" + "State_49_22" + "State_4_10" + "State_12_41" + "State_36_25" + "State_12_6" + "State_30_43" + "State_28_50" + "State_33_6" + "State_36_48" + "State_47_32" + "State_35_5" + "State_5_44" + "State_49_3" + "State_36_11" + "State_14_17" + "State_12_43" + "State_50_18" + "State_46_12" + "State_36_30" + "State_7_4" + "State_26_7" + "State_42_22" + "State_6_33" + "State_20_45" + "State_43_18" + "State_42_41" + "State_31_11" + "State_24_24" + "State_24_33" + "State_0_0" + "State_49_48" + "State_6_10" + "State_40_7" + "State_46_50" + "State_45_11" + "State_40_15" + "State_27_39" + "State_2_26" + "State_41_45" + "State_31_49" + "State_37_20" + "State_18_31" + "State_23_38" + "State_17_37" + "State_22_12" + "State_17_2" + "State_23_20" + "State_14_26" + "State_22_18" + "State_36_18" + "State_48_29" + "State_41_2" + "State_37_8" + "State_30_8" + "State_43_29" + "State_25_5" + "State_12_29" + "State_8_44" + "State_50_21" + "State_28_28" + "State_9_42" + "State_8_30" + "State_31_31" + "State_23_29" + "State_7_22" + "State_43_43" + "State_48_3" + "State_41_38" + "State_18_28" + "State_23_10" + "State_43_4" + "State_22_1" + "State_16_10" + "State_3_49" + "State_8_28" + "State_30_6" + "State_25_32" + "State_7_36" + "State_12_14" + "State_22_43" + "State_11_3" + "State_4_40" + "State_11_34" + "State_35_33" + "State_2_3" + "State_24_37" + "State_18_44" + "State_22_13" + "State_25_50" + "State_15_50" + "State_31_45" + "State_31_27" + "State_25_28" + "State_12_47" + "State_1_18" + "State_30_32" + "State_3_47" + "State_0_5" + "State_17_15" + "State_15_9" + "State_40_35" + "State_41_41" + "State_37_32" + "State_40_29" + "State_31_47" + "State_2_6" + "State_3_8" + "State_0_3" + "State_27_8" + "State_46_30" + "State_21_18" + "State_19_42" + "State_0_17" + "State_37_25" + "State_23_6" + "State_37_39" + "State_30_3" + "State_29_31" + "State_48_36" + "State_44_21" + "State_5_1" + "State_18_50" + "State_5_47" + "State_47_8" + "State_36_46" + "State_48_34" + "State_22_11" + "State_46_37" + "State_19_14" + "State_6_7" + "State_19_24" + "State_47_0" + "State_16_48" + "State_5_24" + "State_16_26" + "State_26_30" + "State_0_7" + "State_16_49" + "State_4_37" + "State_28_11" + "State_45_15" + "State_15_43" + "State_21_11" + "State_45_17" + "State_26_8" + "State_32_16" + "State_12_8" + "State_41_19" + "State_47_24" + "State_3_16" + "State_43_33" + "State_39_3" + "State_4_33" + "State_26_49" + "State_41_42" + "State_14_33" + "State_17_5" + "State_44_25" + "State_8_2" + "State_35_19" + "State_7_18" + "State_44_2" + "State_8_16" + "State_21_19" + "State_36_13" + "State_3_39" + "State_0_24" + "State_33_48" + "State_33_2" + "State_23_23" + "State_9_13" + "State_25_35" + "State_13_31" + "State_34_31" + "State_39_36" + "State_50_1" + "State_18_42" + "State_11_11" + "State_30_47" + "State_28_39" + "State_23_48" + "State_4_38" + "State_28_19" + "State_8_40" + "State_3_15" + "State_17_8" + "State_20_36" + "State_37_21" + "State_0_44" + "State_50_13" + "State_27_25" + "State_23_16" + "State_16_21" + "State_16_4" + "State_12_15" + "State_7_19" + "State_42_23" + "State_41_24" + "State_49_49" + "State_0_42" + "State_13_30" + "State_39_34" + "State_31_15" + "State_9_34" + "State_33_1" + "State_26_48" + "State_50_7" + "State_35_42" + "State_7_50" + "State_44_49" + "State_28_42" + "State_46_5" + "State_23_13" + "State_42_24" + "State_32_41" + "State_46_44" + "State_14_24" + "State_37_34" + "State_2_36" + "State_33_4" + "State_9_21" + "State_10_2" + "State_30_21" + "State_32_38"))) )

BK_TIME_CONFINEMENT_REACHED

--------------------
content from stderr:

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="TokenRing-PT-050"
export BK_EXAMINATION="ReachabilityCardinality"
export BK_TOOL="tapaalPAR"
export BK_RESULT_DIR="/root/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/TokenRing-PT-050.tgz
mv TokenRing-PT-050 execution

# this is for BenchKit: explicit launching of the test

cd execution
echo "====================================================================="
echo " Generated by BenchKit 2-2979"
echo " Executing tool tapaalPAR"
echo " Input is TokenRing-PT-050, examination is ReachabilityCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r136kn-smll-146384397900151"
echo "====================================================================="
echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "ReachabilityCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "ReachabilityCardinality" != "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 "ReachabilityCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property ReachabilityCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "ReachabilityCardinality.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 '' ReachabilityCardinality.xml | cut -d '>' -f 2 | cut -d '<' -f 1 | sort -u) ; do
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 ;