/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 54 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 45 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: 2(4(2(x1))) -> 0(2(0(0(5(1(0(2(0(4(x1)))))))))) 1(4(2(1(x1)))) -> 2(4(1(5(4(3(2(3(1(2(x1)))))))))) 1(4(4(2(x1)))) -> 3(4(0(3(0(2(5(5(1(2(x1)))))))))) 1(5(3(1(x1)))) -> 1(1(5(4(3(0(2(1(1(1(x1)))))))))) 1(5(4(0(x1)))) -> 3(3(1(1(1(4(0(1(0(0(x1)))))))))) 2(2(4(1(x1)))) -> 0(2(2(0(3(0(2(5(0(0(x1)))))))))) 2(4(2(1(x1)))) -> 0(1(0(3(5(3(2(3(2(1(x1)))))))))) 1(4(1(2(0(x1))))) -> 5(2(0(4(0(5(0(5(1(2(x1)))))))))) 1(4(2(4(0(x1))))) -> 5(1(4(3(5(0(0(0(3(0(x1)))))))))) 1(4(4(1(4(x1))))) -> 3(3(2(1(0(5(0(5(2(4(x1)))))))))) 1(5(4(2(1(x1))))) -> 3(4(1(3(3(3(3(3(0(1(x1)))))))))) 2(1(4(4(1(x1))))) -> 2(5(0(2(2(1(2(0(0(0(x1)))))))))) 3(2(4(4(2(x1))))) -> 3(3(3(0(2(3(1(4(0(4(x1)))))))))) 5(3(2(1(5(x1))))) -> 0(4(0(4(3(4(3(2(2(5(x1)))))))))) 1(4(0(4(0(5(x1)))))) -> 5(1(1(2(4(0(2(1(3(5(x1)))))))))) 1(5(5(3(2(2(x1)))))) -> 0(1(2(4(0(5(0(1(2(3(x1)))))))))) 2(5(3(0(4(4(x1)))))) -> 2(2(5(0(4(4(5(0(4(4(x1)))))))))) 3(1(2(4(2(4(x1)))))) -> 4(3(2(0(1(2(3(0(5(4(x1)))))))))) 3(4(2(2(0(5(x1)))))) -> 0(1(3(1(2(0(2(0(4(3(x1)))))))))) 4(1(1(4(0(4(x1)))))) -> 4(0(2(3(5(0(4(1(5(2(x1)))))))))) 5(5(0(1(4(2(x1)))))) -> 5(2(0(1(2(4(1(3(3(3(x1)))))))))) 0(1(4(0(0(4(2(x1))))))) -> 0(1(0(1(5(2(1(0(1(2(x1)))))))))) 1(0(4(4(2(5(5(x1))))))) -> 1(0(4(1(0(5(3(5(2(5(x1)))))))))) 1(3(0(5(4(1(4(x1))))))) -> 1(0(3(0(1(3(1(3(2(4(x1)))))))))) 1(4(2(4(1(3(5(x1))))))) -> 4(4(3(3(5(0(0(0(2(5(x1)))))))))) 1(5(5(4(0(2(5(x1))))))) -> 1(1(4(3(2(1(4(1(1(5(x1)))))))))) 2(4(2(1(5(4(1(x1))))))) -> 0(1(0(4(0(3(0(5(4(1(x1)))))))))) 4(2(5(0(1(4(2(x1))))))) -> 4(2(5(3(0(1(2(3(2(1(x1)))))))))) 5(2(2(0(4(4(2(x1))))))) -> 2(0(1(1(2(4(5(5(0(2(x1)))))))))) 5(2(2(0(5(4(0(x1))))))) -> 1(5(1(3(0(0(1(3(2(1(x1)))))))))) 5(3(1(4(2(4(0(x1))))))) -> 5(5(3(1(1(3(0(1(5(2(x1)))))))))) 5(5(1(4(4(2(5(x1))))))) -> 3(5(0(5(4(0(1(5(2(5(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(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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: 2(4(2(x1))) -> 0(2(0(0(5(1(0(2(0(4(x1)))))))))) 1(4(2(1(x1)))) -> 2(4(1(5(4(3(2(3(1(2(x1)))))))))) 1(4(4(2(x1)))) -> 3(4(0(3(0(2(5(5(1(2(x1)))))))))) 1(5(3(1(x1)))) -> 1(1(5(4(3(0(2(1(1(1(x1)))))))))) 1(5(4(0(x1)))) -> 3(3(1(1(1(4(0(1(0(0(x1)))))))))) 2(2(4(1(x1)))) -> 0(2(2(0(3(0(2(5(0(0(x1)))))))))) 2(4(2(1(x1)))) -> 0(1(0(3(5(3(2(3(2(1(x1)))))))))) 1(4(1(2(0(x1))))) -> 5(2(0(4(0(5(0(5(1(2(x1)))))))))) 1(4(2(4(0(x1))))) -> 5(1(4(3(5(0(0(0(3(0(x1)))))))))) 1(4(4(1(4(x1))))) -> 3(3(2(1(0(5(0(5(2(4(x1)))))))))) 1(5(4(2(1(x1))))) -> 3(4(1(3(3(3(3(3(0(1(x1)))))))))) 2(1(4(4(1(x1))))) -> 2(5(0(2(2(1(2(0(0(0(x1)))))))))) 3(2(4(4(2(x1))))) -> 3(3(3(0(2(3(1(4(0(4(x1)))))))))) 5(3(2(1(5(x1))))) -> 0(4(0(4(3(4(3(2(2(5(x1)))))))))) 1(4(0(4(0(5(x1)))))) -> 5(1(1(2(4(0(2(1(3(5(x1)))))))))) 1(5(5(3(2(2(x1)))))) -> 0(1(2(4(0(5(0(1(2(3(x1)))))))))) 2(5(3(0(4(4(x1)))))) -> 2(2(5(0(4(4(5(0(4(4(x1)))))))))) 3(1(2(4(2(4(x1)))))) -> 4(3(2(0(1(2(3(0(5(4(x1)))))))))) 3(4(2(2(0(5(x1)))))) -> 0(1(3(1(2(0(2(0(4(3(x1)))))))))) 4(1(1(4(0(4(x1)))))) -> 4(0(2(3(5(0(4(1(5(2(x1)))))))))) 5(5(0(1(4(2(x1)))))) -> 5(2(0(1(2(4(1(3(3(3(x1)))))))))) 0(1(4(0(0(4(2(x1))))))) -> 0(1(0(1(5(2(1(0(1(2(x1)))))))))) 1(0(4(4(2(5(5(x1))))))) -> 1(0(4(1(0(5(3(5(2(5(x1)))))))))) 1(3(0(5(4(1(4(x1))))))) -> 1(0(3(0(1(3(1(3(2(4(x1)))))))))) 1(4(2(4(1(3(5(x1))))))) -> 4(4(3(3(5(0(0(0(2(5(x1)))))))))) 1(5(5(4(0(2(5(x1))))))) -> 1(1(4(3(2(1(4(1(1(5(x1)))))))))) 2(4(2(1(5(4(1(x1))))))) -> 0(1(0(4(0(3(0(5(4(1(x1)))))))))) 4(2(5(0(1(4(2(x1))))))) -> 4(2(5(3(0(1(2(3(2(1(x1)))))))))) 5(2(2(0(4(4(2(x1))))))) -> 2(0(1(1(2(4(5(5(0(2(x1)))))))))) 5(2(2(0(5(4(0(x1))))))) -> 1(5(1(3(0(0(1(3(2(1(x1)))))))))) 5(3(1(4(2(4(0(x1))))))) -> 5(5(3(1(1(3(0(1(5(2(x1)))))))))) 5(5(1(4(4(2(5(x1))))))) -> 3(5(0(5(4(0(1(5(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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: 2(4(2(x1))) -> 0(2(0(0(5(1(0(2(0(4(x1)))))))))) 1(4(2(1(x1)))) -> 2(4(1(5(4(3(2(3(1(2(x1)))))))))) 1(4(4(2(x1)))) -> 3(4(0(3(0(2(5(5(1(2(x1)))))))))) 1(5(3(1(x1)))) -> 1(1(5(4(3(0(2(1(1(1(x1)))))))))) 1(5(4(0(x1)))) -> 3(3(1(1(1(4(0(1(0(0(x1)))))))))) 2(2(4(1(x1)))) -> 0(2(2(0(3(0(2(5(0(0(x1)))))))))) 2(4(2(1(x1)))) -> 0(1(0(3(5(3(2(3(2(1(x1)))))))))) 1(4(1(2(0(x1))))) -> 5(2(0(4(0(5(0(5(1(2(x1)))))))))) 1(4(2(4(0(x1))))) -> 5(1(4(3(5(0(0(0(3(0(x1)))))))))) 1(4(4(1(4(x1))))) -> 3(3(2(1(0(5(0(5(2(4(x1)))))))))) 1(5(4(2(1(x1))))) -> 3(4(1(3(3(3(3(3(0(1(x1)))))))))) 2(1(4(4(1(x1))))) -> 2(5(0(2(2(1(2(0(0(0(x1)))))))))) 3(2(4(4(2(x1))))) -> 3(3(3(0(2(3(1(4(0(4(x1)))))))))) 5(3(2(1(5(x1))))) -> 0(4(0(4(3(4(3(2(2(5(x1)))))))))) 1(4(0(4(0(5(x1)))))) -> 5(1(1(2(4(0(2(1(3(5(x1)))))))))) 1(5(5(3(2(2(x1)))))) -> 0(1(2(4(0(5(0(1(2(3(x1)))))))))) 2(5(3(0(4(4(x1)))))) -> 2(2(5(0(4(4(5(0(4(4(x1)))))))))) 3(1(2(4(2(4(x1)))))) -> 4(3(2(0(1(2(3(0(5(4(x1)))))))))) 3(4(2(2(0(5(x1)))))) -> 0(1(3(1(2(0(2(0(4(3(x1)))))))))) 4(1(1(4(0(4(x1)))))) -> 4(0(2(3(5(0(4(1(5(2(x1)))))))))) 5(5(0(1(4(2(x1)))))) -> 5(2(0(1(2(4(1(3(3(3(x1)))))))))) 0(1(4(0(0(4(2(x1))))))) -> 0(1(0(1(5(2(1(0(1(2(x1)))))))))) 1(0(4(4(2(5(5(x1))))))) -> 1(0(4(1(0(5(3(5(2(5(x1)))))))))) 1(3(0(5(4(1(4(x1))))))) -> 1(0(3(0(1(3(1(3(2(4(x1)))))))))) 1(4(2(4(1(3(5(x1))))))) -> 4(4(3(3(5(0(0(0(2(5(x1)))))))))) 1(5(5(4(0(2(5(x1))))))) -> 1(1(4(3(2(1(4(1(1(5(x1)))))))))) 2(4(2(1(5(4(1(x1))))))) -> 0(1(0(4(0(3(0(5(4(1(x1)))))))))) 4(2(5(0(1(4(2(x1))))))) -> 4(2(5(3(0(1(2(3(2(1(x1)))))))))) 5(2(2(0(4(4(2(x1))))))) -> 2(0(1(1(2(4(5(5(0(2(x1)))))))))) 5(2(2(0(5(4(0(x1))))))) -> 1(5(1(3(0(0(1(3(2(1(x1)))))))))) 5(3(1(4(2(4(0(x1))))))) -> 5(5(3(1(1(3(0(1(5(2(x1)))))))))) 5(5(1(4(4(2(5(x1))))))) -> 3(5(0(5(4(0(1(5(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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: 2(4(2(x1))) -> 0(2(0(0(5(1(0(2(0(4(x1)))))))))) 1(4(2(1(x1)))) -> 2(4(1(5(4(3(2(3(1(2(x1)))))))))) 1(4(4(2(x1)))) -> 3(4(0(3(0(2(5(5(1(2(x1)))))))))) 1(5(3(1(x1)))) -> 1(1(5(4(3(0(2(1(1(1(x1)))))))))) 1(5(4(0(x1)))) -> 3(3(1(1(1(4(0(1(0(0(x1)))))))))) 2(2(4(1(x1)))) -> 0(2(2(0(3(0(2(5(0(0(x1)))))))))) 2(4(2(1(x1)))) -> 0(1(0(3(5(3(2(3(2(1(x1)))))))))) 1(4(1(2(0(x1))))) -> 5(2(0(4(0(5(0(5(1(2(x1)))))))))) 1(4(2(4(0(x1))))) -> 5(1(4(3(5(0(0(0(3(0(x1)))))))))) 1(4(4(1(4(x1))))) -> 3(3(2(1(0(5(0(5(2(4(x1)))))))))) 1(5(4(2(1(x1))))) -> 3(4(1(3(3(3(3(3(0(1(x1)))))))))) 2(1(4(4(1(x1))))) -> 2(5(0(2(2(1(2(0(0(0(x1)))))))))) 3(2(4(4(2(x1))))) -> 3(3(3(0(2(3(1(4(0(4(x1)))))))))) 5(3(2(1(5(x1))))) -> 0(4(0(4(3(4(3(2(2(5(x1)))))))))) 1(4(0(4(0(5(x1)))))) -> 5(1(1(2(4(0(2(1(3(5(x1)))))))))) 1(5(5(3(2(2(x1)))))) -> 0(1(2(4(0(5(0(1(2(3(x1)))))))))) 2(5(3(0(4(4(x1)))))) -> 2(2(5(0(4(4(5(0(4(4(x1)))))))))) 3(1(2(4(2(4(x1)))))) -> 4(3(2(0(1(2(3(0(5(4(x1)))))))))) 3(4(2(2(0(5(x1)))))) -> 0(1(3(1(2(0(2(0(4(3(x1)))))))))) 4(1(1(4(0(4(x1)))))) -> 4(0(2(3(5(0(4(1(5(2(x1)))))))))) 5(5(0(1(4(2(x1)))))) -> 5(2(0(1(2(4(1(3(3(3(x1)))))))))) 0(1(4(0(0(4(2(x1))))))) -> 0(1(0(1(5(2(1(0(1(2(x1)))))))))) 1(0(4(4(2(5(5(x1))))))) -> 1(0(4(1(0(5(3(5(2(5(x1)))))))))) 1(3(0(5(4(1(4(x1))))))) -> 1(0(3(0(1(3(1(3(2(4(x1)))))))))) 1(4(2(4(1(3(5(x1))))))) -> 4(4(3(3(5(0(0(0(2(5(x1)))))))))) 1(5(5(4(0(2(5(x1))))))) -> 1(1(4(3(2(1(4(1(1(5(x1)))))))))) 2(4(2(1(5(4(1(x1))))))) -> 0(1(0(4(0(3(0(5(4(1(x1)))))))))) 4(2(5(0(1(4(2(x1))))))) -> 4(2(5(3(0(1(2(3(2(1(x1)))))))))) 5(2(2(0(4(4(2(x1))))))) -> 2(0(1(1(2(4(5(5(0(2(x1)))))))))) 5(2(2(0(5(4(0(x1))))))) -> 1(5(1(3(0(0(1(3(2(1(x1)))))))))) 5(3(1(4(2(4(0(x1))))))) -> 5(5(3(1(1(3(0(1(5(2(x1)))))))))) 5(5(1(4(4(2(5(x1))))))) -> 3(5(0(5(4(0(1(5(2(5(x1)))))))))) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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 3. The certificate found is represented by the following graph. "[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] {(86,87,[2_1|0, 1_1|0, 3_1|0, 5_1|0, 4_1|0, 0_1|0, encArg_1|0, encode_2_1|0, encode_4_1|0, encode_0_1|0, encode_5_1|0, encode_1_1|0, encode_3_1|0]), (86,88,[2_1|1, 1_1|1, 3_1|1, 5_1|1, 4_1|1, 0_1|1]), (86,89,[0_1|2]), (86,98,[0_1|2]), (86,107,[0_1|2]), (86,116,[0_1|2]), (86,125,[2_1|2]), (86,134,[2_1|2]), (86,143,[2_1|2]), 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0_1|2]), (349,287,[1_1|2]), (349,296,[1_1|2]), (349,368,[1_1|2]), (349,351,[1_1|2]), (349,143,[2_1|2]), (349,152,[5_1|2]), (349,161,[4_1|2]), (349,170,[3_1|2]), (349,179,[3_1|2]), (349,188,[5_1|2]), (349,197,[5_1|2]), (349,206,[1_1|2]), (349,215,[3_1|2]), (349,224,[3_1|2]), (349,242,[1_1|2]), (349,251,[1_1|2]), (349,260,[1_1|2]), (350,351,[0_1|2]), (351,352,[2_1|2]), (352,353,[3_1|2]), (353,354,[5_1|2]), (354,355,[0_1|2]), (355,356,[4_1|2]), (356,357,[1_1|2]), (357,358,[5_1|2]), (357,332,[2_1|2]), (357,341,[1_1|2]), (358,88,[2_1|2]), (358,161,[2_1|2]), (358,278,[2_1|2]), (358,350,[2_1|2]), (358,359,[2_1|2]), (358,297,[2_1|2]), (358,89,[0_1|2]), (358,98,[0_1|2]), (358,107,[0_1|2]), (358,116,[0_1|2]), (358,125,[2_1|2]), (358,134,[2_1|2]), (358,377,[0_1|3]), (358,386,[0_1|3]), (359,360,[2_1|2]), (360,361,[5_1|2]), (361,362,[3_1|2]), (362,363,[0_1|2]), (363,364,[1_1|2]), (364,365,[2_1|2]), (365,366,[3_1|2]), (366,367,[2_1|2]), (366,125,[2_1|2]), (366,377,[0_1|3]), (367,88,[1_1|2]), (367,125,[1_1|2]), (367,134,[1_1|2]), (367,143,[1_1|2, 2_1|2]), (367,332,[1_1|2]), (367,360,[1_1|2]), (367,152,[5_1|2]), (367,161,[4_1|2]), (367,170,[3_1|2]), (367,179,[3_1|2]), (367,188,[5_1|2]), (367,197,[5_1|2]), (367,206,[1_1|2]), (367,215,[3_1|2]), (367,224,[3_1|2]), (367,233,[0_1|2]), (367,242,[1_1|2]), (367,251,[1_1|2]), (367,260,[1_1|2]), (368,369,[1_1|2]), (369,370,[0_1|2]), (370,371,[1_1|2]), (371,372,[5_1|2]), (372,373,[2_1|2]), (373,374,[1_1|2]), (374,375,[0_1|2]), (375,376,[1_1|2]), (376,88,[2_1|2]), (376,125,[2_1|2]), (376,134,[2_1|2]), (376,143,[2_1|2]), (376,332,[2_1|2]), (376,360,[2_1|2]), (376,89,[0_1|2]), (376,98,[0_1|2]), (376,107,[0_1|2]), (376,116,[0_1|2]), (376,377,[0_1|3]), (376,386,[0_1|3]), (377,378,[2_1|3]), (378,379,[2_1|3]), (379,380,[0_1|3]), (380,381,[3_1|3]), (381,382,[0_1|3]), (382,383,[2_1|3]), (383,384,[5_1|3]), (384,385,[0_1|3]), (385,145,[0_1|3]), (386,387,[2_1|3]), (387,388,[0_1|3]), (388,389,[0_1|3]), (389,390,[5_1|3]), (390,391,[1_1|3]), (391,392,[0_1|3]), (392,393,[2_1|3]), (393,394,[0_1|3]), (394,360,[4_1|3]), (395,396,[2_1|3]), (396,397,[0_1|3]), (397,398,[0_1|3]), (398,399,[5_1|3]), (399,400,[1_1|3]), (400,401,[0_1|3]), (401,402,[2_1|3]), (402,403,[0_1|3]), (403,125,[4_1|3]), (403,134,[4_1|3]), (403,143,[4_1|3]), (403,332,[4_1|3]), (403,360,[4_1|3]), (404,405,[3_1|3]), (405,406,[1_1|3]), (406,407,[1_1|3]), (407,408,[1_1|3]), (408,409,[4_1|3]), (409,410,[0_1|3]), (410,411,[1_1|3]), (411,412,[0_1|3]), (412,351,[0_1|3]), (413,414,[3_1|3]), (414,415,[3_1|3]), (415,416,[0_1|3]), (416,417,[2_1|3]), (417,418,[3_1|3]), (418,419,[1_1|3]), (419,420,[4_1|3]), (420,421,[0_1|3]), (421,360,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)