WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f1843_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 13: f1_0_main_Load -> f1257_0_random_ArrayAccess : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14<=arg1 && arg2>-1 && arg2P_14<=arg1 && arg1>0 && arg1P_14>0 && arg2P_14>0 && 0==arg3P_14 ], cost: 1 16: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ arg1P_17<=arg2 && arg1>0 && arg2>-1 && arg1P_17>-1 && arg3==arg3P_17 ], cost: 1 1: f323_0_createTree_Return -> f1843_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && -1+arg1P_2<=arg2 && arg2P_2<=arg2 && arg1>0 && arg2>-1 && arg1P_2>0 && arg2P_2>-1 && 2==arg3P_2 ], cost: 1 2: f521_0_createNode_Return -> f931_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>0 ], cost: 1 7: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ x30_1>0 && arg2P_8>-1 && -1+arg1P_8<=arg1 && arg1>0 && arg1P_8>1 && 1+x30_1==arg4P_8 ], cost: 1 4: f588_0_createNode_Return -> f977_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5>0 ], cost: 1 6: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ x25_1>0 && arg2P_7>-1 && -3+arg1P_7<=arg1 && arg1>0 && arg1P_7>3 && 1+x25_1==arg4P_7 ], cost: 1 8: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && arg2>0 && arg1>1 && arg1P_9>-1 && -1+arg2==arg2P_9 && arg3==arg3P_9 && arg4==arg4P_9 ], cost: 1 9: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg2>0 && arg4>0 && x45_1>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 && -1+arg2==arg2P_10 && arg3==arg3P_10 ], cost: 1 10: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>0 && arg4>0 && x52_1>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -1+arg2==arg2P_11 && arg3==arg3P_11 ], cost: 1 11: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg2>0 && arg4>0 && x59_1>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 && -1+arg2==arg2P_12 && arg3==arg3P_12 ], cost: 1 12: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2>0 && arg4>0 && x66_1>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -1+arg2==arg2P_13 && arg3==arg3P_13 ], cost: 1 14: f2251_0_createTree_LE -> f1257_0_random_ArrayAccess : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2>0 && arg4>0 && arg3>-1 && 2+arg2P_15<=arg1 && arg1>2 && arg2P_15>0 && arg4==arg3P_15 ], cost: 1 15: f2251_0_createTree_LE -> f1257_0_random_ArrayAccess : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg4>0 && arg3P_16>0 && arg3>-1 && 2+arg2P_16<=arg1 && arg1>2 && arg2P_16>0 ], cost: 1 17: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg2>-1 && arg3>-1 && x93_1<43 && x93_1>-1 && 1+arg1P_18<=arg1 && arg1>0 && arg1P_18>-1 && arg2==arg2P_18 && 1+arg3==arg3P_18 ], cost: 1 18: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ arg2>-1 && x98_1>42 && arg3>-1 && 1+arg1P_19<=arg1 && arg1>0 && arg1P_19>-1 && arg2==arg2P_19 && 1+arg3==arg3P_19 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f1843_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 16: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ arg1P_17<=arg2 && arg1>0 && arg2>-1 && arg1P_17>-1 && arg3==arg3P_17 ], cost: 1 7: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ x30_1>0 && arg2P_8>-1 && -1+arg1P_8<=arg1 && arg1>0 && arg1P_8>1 && 1+x30_1==arg4P_8 ], cost: 1 6: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ x25_1>0 && arg2P_7>-1 && -3+arg1P_7<=arg1 && arg1>0 && arg1P_7>3 && 1+x25_1==arg4P_7 ], cost: 1 8: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && arg2>0 && arg1>1 && arg1P_9>-1 && -1+arg2==arg2P_9 && arg3==arg3P_9 && arg4==arg4P_9 ], cost: 1 9: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg2>0 && arg4>0 && x45_1>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 && -1+arg2==arg2P_10 && arg3==arg3P_10 ], cost: 1 10: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>0 && arg4>0 && x52_1>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -1+arg2==arg2P_11 && arg3==arg3P_11 ], cost: 1 11: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg2>0 && arg4>0 && x59_1>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 && -1+arg2==arg2P_12 && arg3==arg3P_12 ], cost: 1 12: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2>0 && arg4>0 && x66_1>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -1+arg2==arg2P_13 && arg3==arg3P_13 ], cost: 1 17: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg2>-1 && arg3>-1 && x93_1<43 && x93_1>-1 && 1+arg1P_18<=arg1 && arg1>0 && arg1P_18>-1 && arg2==arg2P_18 && 1+arg3==arg3P_18 ], cost: 1 18: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ arg2>-1 && x98_1>42 && arg3>-1 && 1+arg1P_19<=arg1 && arg1>0 && arg1P_19>-1 && arg2==arg2P_19 && 1+arg3==arg3P_19 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f1843_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 16: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_17, arg2'=arg2P_17, arg4'=arg4P_17, [ arg1P_17<=arg2 && arg1>0 && arg2>-1 && arg1P_17>-1 ], cost: 1 7: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x30_1, [ x30_1>0 && arg2P_8>-1 && -1+arg1P_8<=arg1 && arg1>0 && arg1P_8>1 ], cost: 1 6: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=1+x25_1, [ x25_1>0 && arg2P_7>-1 && -3+arg1P_7<=arg1 && arg1>0 && arg1P_7>3 ], cost: 1 8: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=-1+arg2, [ 2+arg1P_9<=arg1 && arg2>0 && arg1>1 && arg1P_9>-1 ], cost: 1 9: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, arg4'=arg4P_10, [ arg2>0 && arg4>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 ], cost: 1 10: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 ], cost: 1 12: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 17: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg3'=1+arg3, arg4'=arg4P_18, [ arg2>-1 && arg3>-1 && 1+arg1P_18<=arg1 && arg1>0 && arg1P_18>-1 ], cost: 1 18: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg3'=1+arg3, arg4'=arg4P_19, [ arg2>-1 && arg3>-1 && 1+arg1P_19<=arg1 && arg1>0 && arg1P_19>-1 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 7. Accelerating the following rules: 8: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=-1+arg2, [ 2+arg1P_9<=arg1 && arg2>0 && arg1>1 && arg1P_9>-1 ], cost: 1 9: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, arg4'=arg4P_10, [ arg2>0 && arg4>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 ], cost: 1 10: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 ], cost: 1 12: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 Failed to prove monotonicity of the guard of rule 8. [test] deduced pseudo-invariant -arg4P_10+arg4<=0, also trying arg4P_10-arg4<=-1 Accelerated rule 9 with backward acceleration, yielding the new rule 20. [test] deduced pseudo-invariant -arg4P_11+arg4<=0, also trying arg4P_11-arg4<=-1 Accelerated rule 10 with backward acceleration, yielding the new rule 21. [test] deduced pseudo-invariant -arg4P_12+arg4<=0, also trying arg4P_12-arg4<=-1 Accelerated rule 11 with backward acceleration, yielding the new rule 22. [test] deduced pseudo-invariant -arg4P_13+arg4<=0, also trying arg4P_13-arg4<=-1 Accelerated rule 12 with backward acceleration, yielding the new rule 23. [accelerate] Nesting with 5 inner and 5 outer candidates Accelerating simple loops of location 9. Accelerating the following rules: 17: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg3'=1+arg3, arg4'=arg4P_18, [ arg2>-1 && arg3>-1 && 1+arg1P_18<=arg1 && arg1>0 && arg1P_18>-1 ], cost: 1 18: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg3'=1+arg3, arg4'=arg4P_19, [ arg2>-1 && arg3>-1 && 1+arg1P_19<=arg1 && arg1>0 && arg1P_19>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 17. Failed to prove monotonicity of the guard of rule 18. [accelerate] Nesting with 2 inner and 2 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f1843_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 16: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_17, arg2'=arg2P_17, arg4'=arg4P_17, [ arg1P_17<=arg2 && arg1>0 && arg2>-1 && arg1P_17>-1 ], cost: 1 7: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x30_1, [ x30_1>0 && arg2P_8>-1 && -1+arg1P_8<=arg1 && arg1>0 && arg1P_8>1 ], cost: 1 6: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=1+x25_1, [ x25_1>0 && arg2P_7>-1 && -3+arg1P_7<=arg1 && arg1>0 && arg1P_7>3 ], cost: 1 8: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=-1+arg2, [ 2+arg1P_9<=arg1 && arg2>0 && arg1>1 && arg1P_9>-1 ], cost: 1 9: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, arg4'=arg4P_10, [ arg2>0 && arg4>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 ], cost: 1 10: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 ], cost: 1 12: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 20: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg4'=arg4P_10, [ arg4>0 && -2+arg1P_10<=arg1 && arg1>2 && arg1P_10>3 && -arg4P_10+arg4<=0 && arg2>=1 ], cost: arg2 21: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg4'=arg4P_11, [ arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -arg4P_11+arg4<=0 && arg2>=1 ], cost: arg2 22: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg4'=arg4P_12, [ arg4>0 && -3+arg1P_12<=arg1 && arg1>2 && arg1P_12>5 && -arg4P_12+arg4<=0 && arg2>=1 ], cost: arg2 23: f2251_0_createTree_LE -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg4'=arg4P_13, [ arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -arg4P_13+arg4<=0 && arg2>=1 ], cost: arg2 17: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg3'=1+arg3, arg4'=arg4P_18, [ arg2>-1 && arg3>-1 && 1+arg1P_18<=arg1 && arg1>0 && arg1P_18>-1 ], cost: 1 18: f2233_0_randomlyDuplicate_NULL -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg3'=1+arg3, arg4'=arg4P_19, [ arg2>-1 && arg3>-1 && 1+arg1P_19<=arg1 && arg1>0 && arg1P_19>-1 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f1843_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 16: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_17, arg2'=arg2P_17, arg4'=arg4P_17, [ arg1P_17<=arg2 && arg1>0 && arg2>-1 && arg1P_17>-1 ], cost: 1 42: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_18, arg2'=arg2P_17, arg3'=1+arg3, arg4'=arg4P_18, [ arg1>0 && arg2P_17>-1 && arg3>-1 && arg1P_18>-1 && 1+arg1P_18<=arg2 && 1<=arg2 ], cost: 2 43: f1843_0_main_InvokeMethod -> f2233_0_randomlyDuplicate_NULL : arg1'=arg1P_19, arg2'=arg2P_17, arg3'=1+arg3, arg4'=arg4P_19, [ arg1>0 && arg2P_17>-1 && arg3>-1 && arg1P_19>-1 && 1+arg1P_19<=arg2 && 1<=arg2 ], cost: 2 7: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x30_1, [ x30_1>0 && arg2P_8>-1 && -1+arg1P_8<=arg1 && arg1>0 && arg1P_8>1 ], cost: 1 25: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=1+x30_1, [ x30_1>0 && arg1>0 && arg2P_8>0 && arg1P_9>-1 && 2+arg1P_9<=1+arg1 ], cost: 2 27: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_10, [ arg2P_8>0 && arg1P_10>3 && -2+arg1P_10<=1+arg1 && 3<=1+arg1 ], cost: 2 29: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_11, [ arg2P_8>0 && arg1P_11>3 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 ], cost: 2 31: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_12, [ arg2P_8>0 && arg1P_12>5 && -3+arg1P_12<=1+arg1 && 3<=1+arg1 ], cost: 2 33: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_13, [ arg2P_8>0 && arg1P_13>5 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 ], cost: 2 35: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_10, [ arg1P_10>3 && arg2P_8>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 37: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 39: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_12>5 && arg2P_8>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 41: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 6: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=1+x25_1, [ x25_1>0 && arg2P_7>-1 && -3+arg1P_7<=arg1 && arg1>0 && arg1P_7>3 ], cost: 1 24: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_9, arg2'=-1+arg2P_7, arg3'=arg3P_7, arg4'=1+x25_1, [ x25_1>0 && arg1>0 && arg2P_7>0 && arg1P_9>-1 && 2+arg1P_9<=3+arg1 ], cost: 2 26: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2P_7, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1>0 && arg2P_7>0 && arg1P_10>3 && -2+arg1P_10<=3+arg1 ], cost: 2 28: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2P_7, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1>0 && arg2P_7>0 && arg1P_11>3 && -2+arg1P_11<=3+arg1 ], cost: 2 30: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2P_7, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1>0 && arg2P_7>0 && arg1P_12>5 && -3+arg1P_12<=3+arg1 ], cost: 2 32: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2P_7, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1>0 && arg2P_7>0 && arg1P_13>5 && -3+arg1P_13<=3+arg1 ], cost: 2 34: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1>0 && arg1P_10>3 && arg2P_7>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=3+arg1 ], cost: 1+arg2P_7 36: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_7>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_7 38: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1>0 && arg1P_12>5 && arg2P_7>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=3+arg1 ], cost: 1+arg2P_7 40: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_7>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_7 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 3: f1_0_main_Load -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1 && arg1>0 && arg1P_4>0 ], cost: 1 5: f1_0_main_Load -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 35: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_10, [ arg1P_10>3 && arg2P_8>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 37: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 39: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_12>5 && arg2P_8>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 41: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 34: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1>0 && arg1P_10>3 && arg2P_7>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=3+arg1 ], cost: 1+arg2P_7 36: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_7>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_7 38: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1>0 && arg1P_12>5 && arg2P_7>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=3+arg1 ], cost: 1+arg2P_7 40: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_7>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_7 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 35: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_10, [ arg1P_10>3 && arg2P_8>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 37: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 39: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_12>5 && arg2P_8>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 41: f931_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 ], cost: 1+arg2P_8 34: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1>0 && arg1P_10>3 && arg2P_7>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=3+arg1 ], cost: 1+arg2P_7 36: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_7>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_7 38: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1>0 && arg1P_12>5 && arg2P_7>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=3+arg1 ], cost: 1+arg2P_7 40: f977_0_random_ArrayAccess -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_7>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_7 44: __init -> f931_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_4>0 ], cost: 2 45: __init -> f977_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 46: __init -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_10, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_10>3 && arg2P_8>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 47: __init -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 48: __init -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_12>5 && arg2P_8>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 49: __init -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 50: __init -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_10>3 && arg2P_7>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=3+arg1P_6 ], cost: 3+arg2P_7 51: __init -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_11>3 && arg2P_7>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1P_6 ], cost: 3+arg2P_7 52: __init -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_12>5 && arg2P_7>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=3+arg1P_6 ], cost: 3+arg2P_7 53: __init -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_13>5 && arg2P_7>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1P_6 ], cost: 3+arg2P_7 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 46: __init -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_10, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_10>3 && arg2P_8>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 47: __init -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 48: __init -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_12>5 && arg2P_8>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 49: __init -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_4<=arg1P_20 && arg1P_20>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=1+arg1P_4 && 3<=1+arg1P_4 ], cost: 3+arg2P_8 50: __init -> f2251_0_createTree_LE : arg1'=arg1P_10, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_10, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_10>3 && arg2P_7>=1 && 1<=-1+arg4P_10 && -2+arg1P_10<=3+arg1P_6 ], cost: 3+arg2P_7 51: __init -> f2251_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_11, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_11>3 && arg2P_7>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1P_6 ], cost: 3+arg2P_7 52: __init -> f2251_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_12, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_12>5 && arg2P_7>=1 && 1<=-1+arg4P_12 && -3+arg1P_12<=3+arg1P_6 ], cost: 3+arg2P_7 53: __init -> f2251_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_13, [ arg1P_6<=arg1P_20 && arg1P_20>0 && arg1P_6>0 && arg1P_13>5 && arg2P_7>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1P_6 ], cost: 3+arg2P_7 Computing asymptotic complexity for rule 46 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 47 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 48 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 49 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 50 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 51 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 52 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 53 Resulting cost 0 has complexity: Unknown Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)