WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 160 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 44 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(x1)))) -> 0(2(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(x1)))) -> 0(2(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(x1)))) -> 0(2(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(x1)))) -> 0(2(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322] {(69,70,[0_1|0, 2_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (69,71,[1_1|1, 3_1|1, 4_1|1, 0_1|1, 2_1|1, 5_1|1]), (69,72,[0_1|2]), (69,76,[0_1|2]), (69,81,[0_1|2]), (69,86,[0_1|2]), (69,90,[1_1|2]), (69,94,[0_1|2]), (69,99,[0_1|2]), (69,103,[0_1|2]), (69,107,[1_1|2]), (69,112,[0_1|2]), (69,117,[0_1|2]), (69,122,[0_1|2]), (69,127,[0_1|2]), (69,132,[0_1|2]), (69,136,[0_1|2]), (69,140,[0_1|2]), (69,145,[0_1|2]), (69,150,[0_1|2]), (69,155,[0_1|2]), (69,160,[3_1|2]), (69,164,[0_1|2]), (69,169,[4_1|2]), (69,174,[0_1|2]), (69,179,[0_1|2]), (69,184,[0_1|2]), (69,188,[4_1|2]), (69,192,[0_1|2]), (69,197,[0_1|2]), (69,202,[0_1|2]), (69,207,[0_1|2]), (69,211,[0_1|2]), (69,216,[0_1|2]), (69,220,[0_1|2]), (69,224,[0_1|2]), (69,229,[4_1|2]), (69,234,[0_1|2]), (69,239,[4_1|2]), (69,244,[1_1|2]), (69,249,[1_1|2]), (69,254,[4_1|2]), (69,258,[5_1|2]), (69,263,[5_1|2]), (69,268,[1_1|2]), (69,273,[0_1|2]), (69,278,[1_1|2]), (69,283,[4_1|2]), (69,288,[0_1|2]), (70,70,[1_1|0, 3_1|0, 4_1|0, cons_0_1|0, cons_2_1|0, cons_5_1|0]), (71,70,[encArg_1|1]), (71,71,[1_1|1, 3_1|1, 4_1|1, 0_1|1, 2_1|1, 5_1|1]), (71,72,[0_1|2]), (71,76,[0_1|2]), (71,81,[0_1|2]), (71,86,[0_1|2]), (71,90,[1_1|2]), (71,94,[0_1|2]), (71,99,[0_1|2]), (71,103,[0_1|2]), (71,107,[1_1|2]), (71,112,[0_1|2]), (71,117,[0_1|2]), (71,122,[0_1|2]), (71,127,[0_1|2]), (71,132,[0_1|2]), (71,136,[0_1|2]), (71,140,[0_1|2]), (71,145,[0_1|2]), (71,150,[0_1|2]), (71,155,[0_1|2]), (71,160,[3_1|2]), (71,164,[0_1|2]), (71,169,[4_1|2]), (71,174,[0_1|2]), (71,179,[0_1|2]), (71,184,[0_1|2]), (71,188,[4_1|2]), (71,192,[0_1|2]), (71,197,[0_1|2]), (71,202,[0_1|2]), (71,207,[0_1|2]), (71,211,[0_1|2]), (71,216,[0_1|2]), (71,220,[0_1|2]), (71,224,[0_1|2]), (71,229,[4_1|2]), (71,234,[0_1|2]), (71,239,[4_1|2]), (71,244,[1_1|2]), (71,249,[1_1|2]), (71,254,[4_1|2]), (71,258,[5_1|2]), (71,263,[5_1|2]), (71,268,[1_1|2]), (71,273,[0_1|2]), (71,278,[1_1|2]), (71,283,[4_1|2]), (71,288,[0_1|2]), (72,73,[2_1|2]), (73,74,[0_1|2]), (74,75,[1_1|2]), (75,71,[1_1|2]), (76,77,[0_1|2]), (77,78,[2_1|2]), (78,79,[0_1|2]), (79,80,[1_1|2]), (80,71,[4_1|2]), (80,169,[4_1|2]), (80,188,[4_1|2]), (80,229,[4_1|2]), (80,239,[4_1|2]), (80,254,[4_1|2]), (80,283,[4_1|2]), (80,82,[4_1|2]), (81,82,[4_1|2]), (82,83,[0_1|2]), (83,84,[0_1|2]), (84,85,[2_1|2]), (84,254,[4_1|2]), (84,293,[0_1|2]), (84,258,[5_1|2]), (85,71,[5_1|2]), (85,263,[5_1|2]), (85,268,[1_1|2]), (85,273,[0_1|2]), (85,278,[1_1|2]), (85,283,[4_1|2]), (86,87,[2_1|2]), (87,88,[2_1|2]), (87,239,[4_1|2]), (87,244,[1_1|2]), (87,249,[1_1|2]), (87,298,[1_1|3]), (87,303,[4_1|3]), (87,308,[1_1|3]), (88,89,[1_1|2]), (89,71,[0_1|2]), (89,72,[0_1|2]), (89,76,[0_1|2]), (89,81,[0_1|2]), (89,86,[0_1|2]), (89,90,[1_1|2]), (89,94,[0_1|2]), (89,99,[0_1|2]), (89,103,[0_1|2]), (89,107,[1_1|2]), (89,112,[0_1|2]), (89,117,[0_1|2]), (89,122,[0_1|2]), (89,127,[0_1|2]), (89,132,[0_1|2]), (89,136,[0_1|2]), (89,140,[0_1|2]), (89,145,[0_1|2]), (89,150,[0_1|2]), (89,155,[0_1|2]), (89,160,[3_1|2]), (89,164,[0_1|2]), (89,169,[4_1|2]), (89,174,[0_1|2]), (89,179,[0_1|2]), (89,184,[0_1|2]), (89,188,[4_1|2]), (89,192,[0_1|2]), (89,197,[0_1|2]), (89,202,[0_1|2]), (89,207,[0_1|2]), (89,211,[0_1|2]), (89,216,[0_1|2]), (89,220,[0_1|2]), (89,224,[0_1|2]), (89,229,[4_1|2]), (89,234,[0_1|2]), (90,91,[0_1|2]), (91,92,[2_1|2]), (92,93,[2_1|2]), (93,71,[0_1|2]), (93,72,[0_1|2]), (93,76,[0_1|2]), (93,81,[0_1|2]), (93,86,[0_1|2]), (93,90,[1_1|2]), (93,94,[0_1|2]), (93,99,[0_1|2]), (93,103,[0_1|2]), (93,107,[1_1|2]), (93,112,[0_1|2]), (93,117,[0_1|2]), (93,122,[0_1|2]), (93,127,[0_1|2]), (93,132,[0_1|2]), (93,136,[0_1|2]), (93,140,[0_1|2]), (93,145,[0_1|2]), (93,150,[0_1|2]), (93,155,[0_1|2]), (93,160,[3_1|2]), (93,164,[0_1|2]), (93,169,[4_1|2]), (93,174,[0_1|2]), (93,179,[0_1|2]), (93,184,[0_1|2]), (93,188,[4_1|2]), (93,192,[0_1|2]), (93,197,[0_1|2]), (93,202,[0_1|2]), (93,207,[0_1|2]), (93,211,[0_1|2]), (93,216,[0_1|2]), (93,220,[0_1|2]), (93,224,[0_1|2]), (93,229,[4_1|2]), (93,234,[0_1|2]), (94,95,[2_1|2]), (95,96,[2_1|2]), (96,97,[2_1|2]), (97,98,[1_1|2]), (98,71,[2_1|2]), (98,239,[4_1|2]), (98,244,[1_1|2]), (98,249,[1_1|2]), (98,254,[4_1|2]), (98,293,[0_1|2]), (98,258,[5_1|2]), (99,100,[2_1|2]), (100,101,[0_1|2]), (100,122,[0_1|2]), (100,127,[0_1|2]), (101,102,[1_1|2]), (102,71,[3_1|2]), (102,160,[3_1|2]), (103,104,[2_1|2]), (104,105,[3_1|2]), (105,106,[3_1|2]), (106,71,[1_1|2]), (106,160,[1_1|2]), (107,108,[3_1|2]), (108,109,[4_1|2]), (109,110,[0_1|2]), (110,111,[2_1|2]), (111,71,[2_1|2]), (111,239,[4_1|2]), (111,244,[1_1|2]), (111,249,[1_1|2]), (111,254,[4_1|2]), (111,293,[0_1|2]), (111,258,[5_1|2]), (112,113,[2_1|2]), (113,114,[0_1|2]), (114,115,[4_1|2]), (115,116,[1_1|2]), (116,71,[3_1|2]), (116,160,[3_1|2]), (117,118,[2_1|2]), (118,119,[0_1|2]), (119,120,[1_1|2]), (120,121,[4_1|2]), (121,71,[1_1|2]), (122,123,[0_1|2]), (123,124,[2_1|2]), (124,125,[3_1|2]), (125,126,[3_1|2]), (126,71,[1_1|2]), (126,160,[1_1|2]), (127,128,[2_1|2]), (128,129,[3_1|2]), (129,130,[4_1|2]), (130,131,[1_1|2]), (131,71,[1_1|2]), (132,133,[2_1|2]), (133,134,[2_1|2]), (134,135,[0_1|2]), (134,86,[0_1|2]), (134,90,[1_1|2]), (134,94,[0_1|2]), (134,99,[0_1|2]), (134,103,[0_1|2]), (134,107,[1_1|2]), (134,112,[0_1|2]), (134,117,[0_1|2]), (134,122,[0_1|2]), (134,127,[0_1|2]), (135,71,[1_1|2]), (136,137,[2_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (138,239,[4_1|2]), (138,244,[1_1|2]), (138,249,[1_1|2]), (138,313,[1_1|3]), (138,318,[1_1|3]), (139,71,[1_1|2]), (140,141,[2_1|2]), (141,142,[2_1|2]), (142,143,[2_1|2]), (143,144,[1_1|2]), (144,71,[1_1|2]), (145,146,[2_1|2]), (146,147,[0_1|2]), (147,148,[2_1|2]), (148,149,[2_1|2]), (148,239,[4_1|2]), (148,244,[1_1|2]), (148,249,[1_1|2]), (148,313,[1_1|3]), (148,318,[1_1|3]), (149,71,[1_1|2]), (150,151,[0_1|2]), (151,152,[2_1|2]), (152,153,[0_1|2]), (153,154,[1_1|2]), (154,71,[1_1|2]), (154,90,[1_1|2]), (154,107,[1_1|2]), (154,244,[1_1|2]), (154,249,[1_1|2]), (154,268,[1_1|2]), (154,278,[1_1|2]), (155,156,[2_1|2]), (156,157,[0_1|2]), (157,158,[0_1|2]), (158,159,[5_1|2]), (158,283,[4_1|2]), (159,71,[3_1|2]), (159,258,[3_1|2]), (159,263,[3_1|2]), (160,161,[4_1|2]), (161,162,[0_1|2]), (162,163,[2_1|2]), (163,71,[2_1|2]), (163,239,[4_1|2]), (163,244,[1_1|2]), (163,249,[1_1|2]), (163,254,[4_1|2]), (163,293,[0_1|2]), (163,258,[5_1|2]), (164,165,[2_1|2]), (165,166,[2_1|2]), (166,167,[2_1|2]), (167,168,[2_1|2]), (168,71,[3_1|2]), (169,170,[0_1|2]), (170,171,[0_1|2]), (171,172,[2_1|2]), (172,173,[3_1|2]), (173,71,[4_1|2]), (173,169,[4_1|2]), (173,188,[4_1|2]), (173,229,[4_1|2]), (173,239,[4_1|2]), (173,254,[4_1|2]), (173,283,[4_1|2]), (173,82,[4_1|2]), (174,175,[0_1|2]), (175,176,[4_1|2]), (176,177,[3_1|2]), (177,178,[1_1|2]), (178,71,[3_1|2]), (178,160,[3_1|2]), (178,108,[3_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[4_1|2]), (182,183,[4_1|2]), (183,71,[3_1|2]), (183,90,[3_1|2]), (183,107,[3_1|2]), (183,244,[3_1|2]), (183,249,[3_1|2]), (183,268,[3_1|2]), (183,278,[3_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,187,[1_1|2]), (187,71,[4_1|2]), (188,189,[0_1|2]), (189,190,[2_1|2]), (190,191,[0_1|2]), (190,86,[0_1|2]), (190,90,[1_1|2]), (190,94,[0_1|2]), (190,99,[0_1|2]), (190,103,[0_1|2]), (190,107,[1_1|2]), (190,112,[0_1|2]), (190,117,[0_1|2]), (190,122,[0_1|2]), (190,127,[0_1|2]), (191,71,[1_1|2]), (192,193,[2_1|2]), (193,194,[2_1|2]), (194,195,[3_1|2]), (195,196,[4_1|2]), (196,71,[5_1|2]), (196,160,[5_1|2]), (196,263,[5_1|2]), (196,268,[1_1|2]), (196,273,[0_1|2]), (196,278,[1_1|2]), (196,283,[4_1|2]), (197,198,[2_1|2]), (198,199,[0_1|2]), (199,200,[2_1|2]), (200,201,[5_1|2]), (201,71,[1_1|2]), (201,90,[1_1|2]), (201,107,[1_1|2]), (201,244,[1_1|2]), (201,249,[1_1|2]), (201,268,[1_1|2]), (201,278,[1_1|2]), (202,203,[0_1|2]), (203,204,[2_1|2]), (204,205,[0_1|2]), (205,206,[1_1|2]), (206,71,[5_1|2]), (206,263,[5_1|2]), (206,268,[1_1|2]), (206,273,[0_1|2]), (206,278,[1_1|2]), (206,283,[4_1|2]), (207,208,[2_1|2]), (208,209,[0_1|2]), (209,210,[5_1|2]), (210,71,[5_1|2]), (210,258,[5_1|2]), (210,263,[5_1|2]), (210,268,[1_1|2]), (210,273,[0_1|2]), (210,278,[1_1|2]), (210,283,[4_1|2]), (211,212,[2_1|2]), (212,213,[0_1|2]), (213,214,[3_1|2]), (214,215,[0_1|2]), (214,197,[0_1|2]), (214,202,[0_1|2]), (214,207,[0_1|2]), (214,211,[0_1|2]), (214,216,[0_1|2]), (214,220,[0_1|2]), (214,224,[0_1|2]), (214,229,[4_1|2]), (214,234,[0_1|2]), (215,71,[5_1|2]), (215,160,[5_1|2]), (215,263,[5_1|2]), (215,268,[1_1|2]), (215,273,[0_1|2]), (215,278,[1_1|2]), (215,283,[4_1|2]), (216,217,[2_1|2]), (217,218,[2_1|2]), (218,219,[5_1|2]), (219,71,[1_1|2]), (219,90,[1_1|2]), (219,107,[1_1|2]), (219,244,[1_1|2]), (219,249,[1_1|2]), (219,268,[1_1|2]), (219,278,[1_1|2]), (220,221,[2_1|2]), (221,222,[2_1|2]), (222,223,[5_1|2]), (223,71,[5_1|2]), (223,258,[5_1|2]), (223,263,[5_1|2]), (223,268,[1_1|2]), (223,273,[0_1|2]), (223,278,[1_1|2]), (223,283,[4_1|2]), (224,225,[2_1|2]), (225,226,[0_1|2]), (226,227,[5_1|2]), (227,228,[5_1|2]), (228,71,[1_1|2]), (228,90,[1_1|2]), (228,107,[1_1|2]), (228,244,[1_1|2]), (228,249,[1_1|2]), (228,268,[1_1|2]), (228,278,[1_1|2]), (228,264,[1_1|2]), (229,230,[0_1|2]), (230,231,[2_1|2]), (231,232,[2_1|2]), (232,233,[0_1|2]), (232,197,[0_1|2]), (232,202,[0_1|2]), (232,207,[0_1|2]), (232,211,[0_1|2]), (232,216,[0_1|2]), (232,220,[0_1|2]), (232,224,[0_1|2]), (232,229,[4_1|2]), (232,234,[0_1|2]), (233,71,[5_1|2]), (233,263,[5_1|2]), (233,268,[1_1|2]), (233,273,[0_1|2]), (233,278,[1_1|2]), (233,283,[4_1|2]), (234,235,[2_1|2]), (235,236,[0_1|2]), (236,237,[1_1|2]), (237,238,[4_1|2]), (238,71,[5_1|2]), (238,263,[5_1|2]), (238,268,[1_1|2]), (238,273,[0_1|2]), (238,278,[1_1|2]), (238,283,[4_1|2]), (239,240,[0_1|2]), (240,241,[2_1|2]), (241,242,[2_1|2]), (242,243,[3_1|2]), (243,71,[1_1|2]), (243,160,[1_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[2_1|2]), (248,71,[2_1|2]), (248,169,[2_1|2]), (248,188,[2_1|2]), (248,229,[2_1|2]), (248,239,[2_1|2, 4_1|2]), (248,254,[2_1|2, 4_1|2]), (248,283,[2_1|2]), (248,82,[2_1|2]), (248,244,[1_1|2]), (248,249,[1_1|2]), (248,293,[0_1|2]), (248,258,[5_1|2]), (249,250,[4_1|2]), (250,251,[4_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (252,132,[0_1|2]), (252,136,[0_1|2]), (252,140,[0_1|2]), (252,145,[0_1|2]), (252,150,[0_1|2]), (252,155,[0_1|2]), (253,71,[2_1|2]), (253,169,[2_1|2]), (253,188,[2_1|2]), (253,229,[2_1|2]), (253,239,[2_1|2, 4_1|2]), (253,254,[2_1|2, 4_1|2]), (253,283,[2_1|2]), (253,82,[2_1|2]), (253,176,[2_1|2]), (253,244,[1_1|2]), (253,249,[1_1|2]), (253,293,[0_1|2]), (253,258,[5_1|2]), (254,255,[0_1|2]), (255,256,[2_1|2]), (256,257,[2_1|2]), (256,254,[4_1|2]), (256,293,[0_1|2]), (256,258,[5_1|2]), (257,71,[5_1|2]), (257,263,[5_1|2]), (257,268,[1_1|2]), (257,273,[0_1|2]), (257,278,[1_1|2]), (257,283,[4_1|2]), (258,259,[0_1|2]), (259,260,[2_1|2]), (260,261,[2_1|2]), (261,262,[3_1|2]), (262,71,[1_1|2]), (262,90,[1_1|2]), (262,107,[1_1|2]), (262,244,[1_1|2]), (262,249,[1_1|2]), (262,268,[1_1|2]), (262,278,[1_1|2]), (263,264,[1_1|2]), (264,265,[0_1|2]), (265,266,[2_1|2]), (266,267,[0_1|2]), (266,132,[0_1|2]), (266,136,[0_1|2]), (266,140,[0_1|2]), (266,145,[0_1|2]), (266,150,[0_1|2]), (266,155,[0_1|2]), (267,71,[2_1|2]), (267,239,[4_1|2]), (267,244,[1_1|2]), (267,249,[1_1|2]), (267,254,[4_1|2]), (267,293,[0_1|2]), (267,258,[5_1|2]), (268,269,[5_1|2]), (269,270,[4_1|2]), (270,271,[0_1|2]), (271,272,[2_1|2]), (272,71,[2_1|2]), (272,239,[4_1|2]), (272,244,[1_1|2]), (272,249,[1_1|2]), (272,254,[4_1|2]), (272,293,[0_1|2]), (272,258,[5_1|2]), (273,274,[2_1|2]), (274,275,[3_1|2]), (275,276,[1_1|2]), (276,277,[5_1|2]), (277,71,[1_1|2]), (277,90,[1_1|2]), (277,107,[1_1|2]), (277,244,[1_1|2]), (277,249,[1_1|2]), (277,268,[1_1|2]), (277,278,[1_1|2]), (278,279,[5_1|2]), (279,280,[0_1|2]), (280,281,[2_1|2]), (281,282,[2_1|2]), (282,71,[3_1|2]), (282,90,[3_1|2]), (282,107,[3_1|2]), (282,244,[3_1|2]), (282,249,[3_1|2]), (282,268,[3_1|2]), (282,278,[3_1|2]), (283,284,[5_1|2]), (284,285,[0_1|2]), (285,286,[2_1|2]), (286,287,[3_1|2]), (287,71,[1_1|2]), (287,90,[1_1|2]), (287,107,[1_1|2]), (287,244,[1_1|2]), (287,249,[1_1|2]), (287,268,[1_1|2]), (287,278,[1_1|2]), (288,289,[2_1|2]), (289,290,[0_1|2]), (290,291,[0_1|2]), (291,292,[5_1|2]), (292,160,[3_1|2]), (293,294,[2_1|2]), (294,295,[0_1|2]), (295,296,[0_1|2]), (296,297,[5_1|2]), (296,283,[4_1|2]), (297,71,[3_1|2]), (297,160,[3_1|2]), (298,299,[4_1|3]), (299,300,[4_1|3]), (300,301,[0_1|3]), (301,302,[0_1|3]), (302,82,[2_1|3]), (302,176,[2_1|3]), (303,304,[0_1|3]), (304,305,[2_1|3]), (305,306,[2_1|3]), (306,307,[3_1|3]), (307,160,[1_1|3]), (308,309,[4_1|3]), (309,310,[0_1|3]), (310,311,[2_1|3]), (311,312,[2_1|3]), (312,169,[2_1|3]), (312,188,[2_1|3]), (312,229,[2_1|3]), (312,239,[2_1|3]), (312,254,[2_1|3]), (312,283,[2_1|3]), (312,82,[2_1|3]), (313,314,[4_1|3]), (314,315,[0_1|3]), (315,316,[2_1|3]), (316,317,[2_1|3]), (317,82,[2_1|3]), (318,319,[4_1|3]), (319,320,[4_1|3]), (320,321,[0_1|3]), (321,322,[0_1|3]), (322,176,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)