WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 46 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 118 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(x1)))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (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(2(x_1)) -> 2(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(x1)))))) encArg(2(x_1)) -> 2(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: FULL ---------------------------------------- (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 4. The certificate found is represented by the following graph. "[67, 68, 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, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631] {(67,68,[0_1|0, 5_1|0, 1_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]), (67,69,[2_1|1, 3_1|1, 4_1|1, 0_1|1, 5_1|1, 1_1|1]), (67,70,[0_1|2]), 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(552,85,[3_1|3]), (552,201,[3_1|3]), (552,241,[3_1|3]), (553,554,[5_1|3]), (554,555,[2_1|3]), (555,556,[1_1|3]), (556,557,[3_1|3]), (557,85,[0_1|3]), (557,201,[0_1|3]), (557,241,[0_1|3]), (558,559,[1_1|3]), (559,560,[5_1|3]), (560,93,[4_1|3]), (560,102,[4_1|3]), (560,126,[4_1|3]), (560,131,[4_1|3]), (560,181,[4_1|3]), (560,199,[4_1|3]), (560,204,[4_1|3]), (560,214,[4_1|3]), (560,220,[4_1|3]), (560,224,[4_1|3]), (560,239,[4_1|3]), (560,249,[4_1|3]), (560,267,[4_1|3]), (560,271,[4_1|3]), (560,279,[4_1|3]), (560,284,[4_1|3]), (560,299,[4_1|3]), (560,305,[4_1|3]), (560,309,[4_1|3]), (560,215,[4_1|3]), (560,225,[4_1|3]), (560,285,[4_1|3]), (560,147,[4_1|3]), (560,300,[4_1|3]), (560,310,[4_1|3]), (561,562,[4_1|3]), (562,563,[1_1|3]), (563,93,[1_1|3]), (563,102,[1_1|3]), (563,126,[1_1|3]), (563,131,[1_1|3]), (563,181,[1_1|3]), (563,199,[1_1|3]), (563,204,[1_1|3]), (563,214,[1_1|3]), (563,220,[1_1|3]), (563,224,[1_1|3]), (563,239,[1_1|3]), (563,249,[1_1|3]), (563,267,[1_1|3]), (563,271,[1_1|3]), (563,279,[1_1|3]), (563,284,[1_1|3]), (563,299,[1_1|3]), (563,305,[1_1|3]), (563,309,[1_1|3]), (563,215,[1_1|3]), (563,225,[1_1|3]), (563,285,[1_1|3]), (563,147,[1_1|3]), (563,300,[1_1|3]), (563,310,[1_1|3]), (564,565,[5_1|3]), (565,566,[3_1|3]), (566,567,[4_1|3]), (567,93,[1_1|3]), (567,102,[1_1|3]), (567,126,[1_1|3]), (567,131,[1_1|3]), (567,181,[1_1|3]), (567,199,[1_1|3]), (567,204,[1_1|3]), (567,214,[1_1|3]), (567,220,[1_1|3]), (567,224,[1_1|3]), (567,239,[1_1|3]), (567,249,[1_1|3]), (567,267,[1_1|3]), (567,271,[1_1|3]), (567,279,[1_1|3]), (567,284,[1_1|3]), (567,299,[1_1|3]), (567,305,[1_1|3]), (567,309,[1_1|3]), (567,215,[1_1|3]), (567,225,[1_1|3]), (567,285,[1_1|3]), (567,147,[1_1|3]), (567,300,[1_1|3]), (567,310,[1_1|3]), (568,569,[1_1|3]), (569,570,[4_1|3]), (570,571,[5_1|3]), (571,572,[4_1|3]), (572,93,[4_1|3]), (572,102,[4_1|3]), (572,126,[4_1|3]), (572,131,[4_1|3]), (572,181,[4_1|3]), (572,199,[4_1|3]), (572,204,[4_1|3]), (572,214,[4_1|3]), (572,220,[4_1|3]), (572,224,[4_1|3]), (572,239,[4_1|3]), (572,249,[4_1|3]), (572,267,[4_1|3]), (572,271,[4_1|3]), (572,279,[4_1|3]), (572,284,[4_1|3]), (572,299,[4_1|3]), (572,305,[4_1|3]), (572,309,[4_1|3]), (572,215,[4_1|3]), (572,225,[4_1|3]), (572,285,[4_1|3]), (572,147,[4_1|3]), (572,300,[4_1|3]), (572,310,[4_1|3]), (573,574,[5_1|3]), (574,575,[2_1|3]), (575,576,[3_1|3]), (576,577,[1_1|3]), (577,93,[1_1|3]), (577,102,[1_1|3]), (577,126,[1_1|3]), (577,131,[1_1|3]), (577,181,[1_1|3]), (577,199,[1_1|3]), (577,204,[1_1|3]), (577,214,[1_1|3]), (577,220,[1_1|3]), (577,224,[1_1|3]), (577,239,[1_1|3]), (577,249,[1_1|3]), (577,267,[1_1|3]), (577,271,[1_1|3]), (577,279,[1_1|3]), (577,284,[1_1|3]), (577,299,[1_1|3]), (577,305,[1_1|3]), (577,309,[1_1|3]), (577,215,[1_1|3]), (577,225,[1_1|3]), (577,285,[1_1|3]), (577,147,[1_1|3]), (577,300,[1_1|3]), (577,310,[1_1|3]), (578,579,[1_1|3]), (579,580,[2_1|3]), (580,581,[1_1|3]), (581,582,[5_1|3]), (582,93,[4_1|3]), (582,102,[4_1|3]), (582,126,[4_1|3]), (582,131,[4_1|3]), (582,181,[4_1|3]), (582,199,[4_1|3]), (582,204,[4_1|3]), (582,214,[4_1|3]), (582,220,[4_1|3]), (582,224,[4_1|3]), (582,239,[4_1|3]), (582,249,[4_1|3]), (582,267,[4_1|3]), (582,271,[4_1|3]), (582,279,[4_1|3]), (582,284,[4_1|3]), (582,299,[4_1|3]), (582,305,[4_1|3]), (582,309,[4_1|3]), (582,215,[4_1|3]), (582,225,[4_1|3]), (582,285,[4_1|3]), (582,147,[4_1|3]), (582,300,[4_1|3]), (582,310,[4_1|3]), (583,584,[4_1|3]), (584,585,[1_1|3]), (585,586,[5_1|3]), (585,299,[1_1|3]), (585,302,[5_1|3]), (585,305,[1_1|3]), (585,309,[1_1|3]), (585,314,[3_1|3]), (585,319,[4_1|3]), (586,146,[1_1|3]), (587,588,[5_1|3]), (588,589,[4_1|3]), (589,93,[1_1|3]), (589,102,[1_1|3]), (589,126,[1_1|3]), (589,131,[1_1|3]), (589,181,[1_1|3]), (589,199,[1_1|3]), (589,204,[1_1|3]), (589,214,[1_1|3]), (589,220,[1_1|3]), (589,224,[1_1|3]), (589,239,[1_1|3]), (589,249,[1_1|3]), (589,267,[1_1|3]), (589,271,[1_1|3]), (589,279,[1_1|3]), (589,284,[1_1|3]), (589,299,[1_1|3]), (589,305,[1_1|3]), (589,309,[1_1|3]), (589,162,[1_1|3]), (589,264,[1_1|3]), (590,591,[5_1|3]), (591,592,[4_1|3]), (592,593,[0_1|3]), (592,445,[0_1|3]), (592,449,[1_1|3]), (592,453,[0_1|3]), (592,477,[0_1|3]), (592,482,[0_1|3]), (592,487,[1_1|3]), (592,491,[5_1|3]), (592,496,[0_1|3]), (592,623,[1_1|4]), (592,627,[5_1|4]), (593,93,[1_1|3]), (593,102,[1_1|3]), (593,126,[1_1|3]), (593,131,[1_1|3]), (593,181,[1_1|3]), (593,199,[1_1|3]), (593,204,[1_1|3]), (593,214,[1_1|3]), (593,220,[1_1|3]), (593,224,[1_1|3]), (593,239,[1_1|3]), (593,249,[1_1|3]), (593,267,[1_1|3]), (593,271,[1_1|3]), (593,279,[1_1|3]), (593,284,[1_1|3]), (593,299,[1_1|3]), (593,305,[1_1|3]), (593,309,[1_1|3]), (593,162,[1_1|3]), (593,264,[1_1|3]), (594,595,[0_1|3]), (595,596,[2_1|3]), (596,597,[1_1|3]), (597,93,[2_1|3]), (597,102,[2_1|3]), (597,126,[2_1|3]), (597,131,[2_1|3]), (597,181,[2_1|3]), (597,199,[2_1|3]), (597,204,[2_1|3]), (597,214,[2_1|3]), (597,220,[2_1|3]), (597,224,[2_1|3]), (597,239,[2_1|3]), (597,249,[2_1|3]), (597,267,[2_1|3]), (597,271,[2_1|3]), (597,279,[2_1|3]), (597,284,[2_1|3]), (597,299,[2_1|3]), (597,305,[2_1|3]), (597,309,[2_1|3]), (597,162,[2_1|3]), (597,264,[2_1|3]), (598,599,[1_1|3]), (599,600,[4_1|3]), (600,601,[5_1|3]), (601,602,[4_1|3]), (602,93,[4_1|3]), (602,102,[4_1|3]), (602,126,[4_1|3]), (602,131,[4_1|3]), (602,181,[4_1|3]), (602,199,[4_1|3]), (602,204,[4_1|3]), (602,214,[4_1|3]), (602,220,[4_1|3]), (602,224,[4_1|3]), (602,239,[4_1|3]), (602,249,[4_1|3]), (602,267,[4_1|3]), (602,271,[4_1|3]), (602,279,[4_1|3]), (602,284,[4_1|3]), (602,299,[4_1|3]), (602,305,[4_1|3]), (602,309,[4_1|3]), (602,162,[4_1|3]), (602,264,[4_1|3]), (603,604,[5_1|3]), (604,605,[4_1|3]), (605,606,[1_1|3]), (606,607,[4_1|3]), (607,93,[4_1|3]), (607,102,[4_1|3]), (607,126,[4_1|3]), (607,131,[4_1|3]), (607,181,[4_1|3]), (607,199,[4_1|3]), (607,204,[4_1|3]), (607,214,[4_1|3]), (607,220,[4_1|3]), (607,224,[4_1|3]), (607,239,[4_1|3]), (607,249,[4_1|3]), (607,267,[4_1|3]), (607,271,[4_1|3]), (607,279,[4_1|3]), (607,284,[4_1|3]), (607,299,[4_1|3]), (607,305,[4_1|3]), (607,309,[4_1|3]), (607,162,[4_1|3]), (607,264,[4_1|3]), (608,609,[0_1|3]), (609,610,[4_1|3]), (610,611,[3_1|3]), (611,612,[0_1|3]), (611,445,[0_1|3]), (611,449,[1_1|3]), (611,453,[0_1|3]), (611,477,[0_1|3]), (611,482,[0_1|3]), (611,487,[1_1|3]), (611,491,[5_1|3]), (611,496,[0_1|3]), (611,623,[1_1|4]), (611,627,[5_1|4]), (612,93,[1_1|3]), (612,102,[1_1|3]), (612,126,[1_1|3]), (612,131,[1_1|3]), (612,181,[1_1|3]), (612,199,[1_1|3]), (612,204,[1_1|3]), (612,214,[1_1|3]), (612,220,[1_1|3]), (612,224,[1_1|3]), (612,239,[1_1|3]), (612,249,[1_1|3]), (612,267,[1_1|3]), (612,271,[1_1|3]), (612,279,[1_1|3]), (612,284,[1_1|3]), (612,299,[1_1|3]), (612,305,[1_1|3]), (612,309,[1_1|3]), (612,162,[1_1|3]), (612,264,[1_1|3]), (613,614,[0_1|3]), (614,615,[0_1|3]), (615,616,[4_1|3]), (616,617,[1_1|3]), (617,94,[3_1|3]), (617,103,[3_1|3]), (617,132,[3_1|3]), (618,619,[4_1|3]), (619,620,[5_1|3]), (620,621,[4_1|3]), (621,622,[0_1|3]), (622,201,[0_1|3]), (622,241,[0_1|3]), (623,624,[0_1|4]), (624,625,[3_1|4]), (625,626,[4_1|4]), (626,300,[1_1|4]), (626,310,[1_1|4]), (627,628,[0_1|4]), (628,629,[3_1|4]), (629,630,[4_1|4]), (630,631,[1_1|4]), (631,300,[1_1|4]), (631,310,[1_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)