/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 170 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 88 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(1(1(x1))) -> 0(2(1(1(x1)))) 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 3(5(1(x1))) -> 1(3(4(5(x1)))) 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 5(1(3(x1))) -> 5(3(1(2(x1)))) 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(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(2(x_1)) -> 2(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(1(x1))) -> 0(2(1(1(x1)))) 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 3(5(1(x1))) -> 1(3(4(5(x1)))) 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 5(1(3(x1))) -> 5(3(1(2(x1)))) 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(1(x1))) -> 0(2(1(1(x1)))) 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 3(5(1(x1))) -> 1(3(4(5(x1)))) 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 5(1(3(x1))) -> 5(3(1(2(x1)))) 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(1(x1))) -> 0(2(1(1(x1)))) 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 3(5(1(x1))) -> 1(3(4(5(x1)))) 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 5(1(3(x1))) -> 5(3(1(2(x1)))) 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. 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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] {(59,60,[0_1|0, 3_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]), (59,61,[0_1|1]), (59,64,[0_1|1]), (59,68,[0_1|1]), (59,72,[2_1|1]), (59,76,[0_1|1]), (59,81,[0_1|1]), (59,86,[4_1|1]), (59,91,[1_1|1, 2_1|1, 4_1|1, 0_1|1, 3_1|1, 5_1|1]), (59,92,[0_1|2]), (59,95,[0_1|2]), 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(214,294,[1_1|2]), (214,108,[1_1|2]), (214,201,[1_1|2]), (215,216,[3_1|2]), (216,217,[4_1|2]), (217,91,[5_1|2]), (217,107,[5_1|2]), (217,190,[5_1|2]), (217,200,[5_1|2]), (217,205,[5_1|2]), (217,215,[5_1|2]), (217,222,[5_1|2]), (217,226,[5_1|2]), (217,238,[5_1|2]), (217,248,[5_1|2]), (217,258,[5_1|2]), (217,294,[5_1|2, 1_1|2]), (217,290,[5_1|2]), (217,268,[5_1|2]), (217,271,[5_1|2]), (217,275,[5_1|2]), (217,280,[3_1|2]), (217,285,[3_1|2]), (217,289,[5_1|2]), (217,311,[5_1|3]), (217,314,[5_1|3]), (218,219,[4_1|2]), (219,220,[5_1|2]), (220,221,[3_1|2]), (221,91,[1_1|2]), (221,107,[1_1|2]), (221,190,[1_1|2]), (221,200,[1_1|2]), (221,205,[1_1|2]), (221,215,[1_1|2]), (221,222,[1_1|2]), (221,226,[1_1|2]), (221,238,[1_1|2]), (221,248,[1_1|2]), (221,258,[1_1|2]), (221,294,[1_1|2]), (221,290,[1_1|2]), (222,223,[3_1|2]), (223,224,[4_1|2]), (224,225,[5_1|2]), (224,268,[5_1|2]), (224,271,[5_1|2]), (224,358,[5_1|3]), (224,314,[5_1|3]), (225,91,[1_1|2]), (225,107,[1_1|2]), (225,190,[1_1|2]), (225,200,[1_1|2]), (225,205,[1_1|2]), (225,215,[1_1|2]), (225,222,[1_1|2]), (225,226,[1_1|2]), (225,238,[1_1|2]), (225,248,[1_1|2]), (225,258,[1_1|2]), (225,294,[1_1|2]), (225,108,[1_1|2]), (225,201,[1_1|2]), (226,227,[5_1|2]), (227,228,[3_1|2]), (228,229,[1_1|2]), (229,91,[2_1|2]), (229,107,[2_1|2]), (229,190,[2_1|2]), (229,200,[2_1|2]), (229,205,[2_1|2]), (229,215,[2_1|2]), (229,222,[2_1|2]), (229,226,[2_1|2]), (229,238,[2_1|2]), (229,248,[2_1|2]), (229,258,[2_1|2]), (229,294,[2_1|2]), (229,108,[2_1|2]), (229,201,[2_1|2]), (230,231,[5_1|2]), (231,232,[3_1|2]), (232,233,[1_1|2]), (233,91,[2_1|2]), (233,112,[2_1|2]), (233,230,[2_1|2]), (233,263,[2_1|2]), (233,280,[2_1|2]), (233,285,[2_1|2]), (233,191,[2_1|2]), (233,216,[2_1|2]), (233,223,[2_1|2]), (233,249,[2_1|2]), (233,259,[2_1|2]), (234,235,[1_1|2]), (235,236,[3_1|2]), (236,237,[4_1|2]), (237,91,[5_1|2]), (237,107,[5_1|2]), (237,190,[5_1|2]), (237,200,[5_1|2]), (237,205,[5_1|2]), (237,215,[5_1|2]), (237,222,[5_1|2]), (237,226,[5_1|2]), (237,238,[5_1|2]), (237,248,[5_1|2]), (237,258,[5_1|2]), (237,294,[5_1|2, 1_1|2]), (237,235,[5_1|2]), (237,244,[5_1|2]), (237,268,[5_1|2]), (237,271,[5_1|2]), (237,275,[5_1|2]), (237,280,[3_1|2]), (237,285,[3_1|2]), (237,289,[5_1|2]), (237,311,[5_1|3]), (237,314,[5_1|3]), (238,239,[4_1|2]), (239,240,[5_1|2]), (240,241,[3_1|2]), (241,242,[1_1|2]), (242,91,[3_1|2]), (242,112,[3_1|2]), (242,230,[3_1|2]), (242,263,[3_1|2]), (242,280,[3_1|2]), (242,285,[3_1|2]), (242,191,[3_1|2]), (242,216,[3_1|2]), (242,223,[3_1|2]), (242,249,[3_1|2]), (242,259,[3_1|2]), (242,236,[3_1|2]), (242,190,[1_1|2]), (242,195,[0_1|2]), (242,200,[1_1|2]), (242,205,[1_1|2]), (242,210,[0_1|2]), (242,215,[1_1|2]), (242,218,[2_1|2]), (242,222,[1_1|2]), (242,226,[1_1|2]), (242,234,[4_1|2]), (242,238,[1_1|2]), (242,243,[4_1|2]), (242,248,[1_1|2]), (242,253,[4_1|2]), (242,258,[1_1|2]), (242,299,[1_1|3]), (242,304,[1_1|3]), (242,307,[2_1|3]), (243,244,[1_1|2]), (244,245,[4_1|2]), (245,246,[3_1|2]), (246,247,[4_1|2]), (247,91,[5_1|2]), (247,107,[5_1|2]), (247,190,[5_1|2]), (247,200,[5_1|2]), (247,205,[5_1|2]), (247,215,[5_1|2]), (247,222,[5_1|2]), (247,226,[5_1|2]), (247,238,[5_1|2]), (247,248,[5_1|2]), (247,258,[5_1|2]), (247,294,[5_1|2, 1_1|2]), (247,235,[5_1|2]), (247,244,[5_1|2]), (247,268,[5_1|2]), (247,271,[5_1|2]), (247,275,[5_1|2]), (247,280,[3_1|2]), (247,285,[3_1|2]), (247,289,[5_1|2]), (247,311,[5_1|3]), (247,314,[5_1|3]), (248,249,[3_1|2]), (249,250,[0_1|2]), (250,251,[2_1|2]), (251,252,[4_1|2]), (252,91,[5_1|2]), (252,107,[5_1|2]), (252,190,[5_1|2]), (252,200,[5_1|2]), (252,205,[5_1|2]), (252,215,[5_1|2]), (252,222,[5_1|2]), (252,226,[5_1|2]), (252,238,[5_1|2]), (252,248,[5_1|2]), (252,258,[5_1|2]), (252,294,[5_1|2, 1_1|2]), (252,147,[5_1|2]), (252,181,[5_1|2]), (252,268,[5_1|2]), (252,271,[5_1|2]), (252,275,[5_1|2]), (252,280,[3_1|2]), (252,285,[3_1|2]), (252,289,[5_1|2]), (252,311,[5_1|3]), (252,314,[5_1|3]), (253,254,[3_1|2]), (254,255,[4_1|2]), (255,256,[3_1|2]), (256,257,[1_1|2]), (257,91,[2_1|2]), (257,112,[2_1|2]), (257,230,[2_1|2]), (257,263,[2_1|2]), (257,280,[2_1|2]), (257,285,[2_1|2]), (257,191,[2_1|2]), (257,216,[2_1|2]), (257,223,[2_1|2]), (257,249,[2_1|2]), (257,259,[2_1|2]), (257,236,[2_1|2]), (258,259,[3_1|2]), (259,260,[4_1|2]), (260,261,[5_1|2]), (261,262,[3_1|2]), (262,91,[1_1|2]), (262,107,[1_1|2]), (262,190,[1_1|2]), (262,200,[1_1|2]), (262,205,[1_1|2]), (262,215,[1_1|2]), (262,222,[1_1|2]), (262,226,[1_1|2]), (262,238,[1_1|2]), (262,248,[1_1|2]), (262,258,[1_1|2]), (262,294,[1_1|2]), (262,108,[1_1|2]), (262,201,[1_1|2]), (263,264,[1_1|2]), (264,265,[4_1|2]), (265,266,[5_1|2]), (266,267,[3_1|2]), (267,91,[1_1|2]), (267,107,[1_1|2]), (267,190,[1_1|2]), (267,200,[1_1|2]), (267,205,[1_1|2]), (267,215,[1_1|2]), (267,222,[1_1|2]), (267,226,[1_1|2]), (267,238,[1_1|2]), (267,248,[1_1|2]), (267,258,[1_1|2]), (267,294,[1_1|2]), (267,108,[1_1|2]), (267,201,[1_1|2]), (268,269,[3_1|2]), (269,270,[1_1|2]), (270,91,[2_1|2]), (270,112,[2_1|2]), (270,230,[2_1|2]), (270,263,[2_1|2]), (270,280,[2_1|2]), (270,285,[2_1|2]), (270,191,[2_1|2]), (270,216,[2_1|2]), (270,223,[2_1|2]), (270,249,[2_1|2]), (270,259,[2_1|2]), (271,272,[5_1|2]), (272,273,[3_1|2]), (273,274,[1_1|2]), (274,91,[2_1|2]), (274,112,[2_1|2]), (274,230,[2_1|2]), (274,263,[2_1|2]), (274,280,[2_1|2]), (274,285,[2_1|2]), (274,207,[2_1|2]), (275,276,[3_1|2]), (276,277,[1_1|2]), (277,278,[0_1|2]), (278,279,[2_1|2]), (279,91,[4_1|2]), (279,107,[4_1|2]), (279,190,[4_1|2]), (279,200,[4_1|2]), (279,205,[4_1|2]), (279,215,[4_1|2]), (279,222,[4_1|2]), (279,226,[4_1|2]), (279,238,[4_1|2]), (279,248,[4_1|2]), (279,258,[4_1|2]), (279,294,[4_1|2]), (279,147,[4_1|2]), (279,181,[4_1|2]), (280,281,[2_1|2]), (281,282,[4_1|2]), (282,283,[5_1|2]), (282,311,[5_1|3]), (283,284,[3_1|2]), (283,248,[1_1|2]), (283,253,[4_1|2]), (283,361,[1_1|3]), (283,366,[4_1|3]), (284,91,[2_1|2]), (284,112,[2_1|2]), (284,230,[2_1|2]), (284,263,[2_1|2]), (284,280,[2_1|2]), (284,285,[2_1|2]), (285,286,[1_1|2]), (286,287,[3_1|2]), (287,288,[4_1|2]), (288,91,[5_1|2]), (288,112,[5_1|2]), (288,230,[5_1|2]), (288,263,[5_1|2]), (288,280,[5_1|2, 3_1|2]), (288,285,[5_1|2, 3_1|2]), (288,268,[5_1|2]), (288,271,[5_1|2]), (288,275,[5_1|2]), (288,289,[5_1|2]), (288,294,[1_1|2]), (288,311,[5_1|3]), (288,314,[5_1|3]), (289,290,[1_1|2]), (290,291,[2_1|2]), (291,292,[0_1|2]), (292,293,[2_1|2]), (293,91,[4_1|2]), (293,107,[4_1|2]), (293,190,[4_1|2]), (293,200,[4_1|2]), (293,205,[4_1|2]), (293,215,[4_1|2]), (293,222,[4_1|2]), (293,226,[4_1|2]), (293,238,[4_1|2]), (293,248,[4_1|2]), (293,258,[4_1|2]), (293,294,[4_1|2]), (293,147,[4_1|2]), (293,181,[4_1|2]), (294,295,[0_1|2]), (295,296,[2_1|2]), (296,297,[4_1|2]), (297,298,[5_1|2]), (297,294,[1_1|2]), (297,371,[1_1|3]), (298,91,[5_1|2]), (298,107,[5_1|2]), (298,190,[5_1|2]), (298,200,[5_1|2]), (298,205,[5_1|2]), (298,215,[5_1|2]), (298,222,[5_1|2]), (298,226,[5_1|2]), (298,238,[5_1|2]), (298,248,[5_1|2]), (298,258,[5_1|2]), (298,294,[5_1|2, 1_1|2]), (298,147,[5_1|2]), (298,181,[5_1|2]), (298,268,[5_1|2]), (298,271,[5_1|2]), (298,275,[5_1|2]), (298,280,[3_1|2]), (298,285,[3_1|2]), (298,289,[5_1|2]), (298,311,[5_1|3]), (298,314,[5_1|3]), (299,300,[3_1|3]), (300,301,[0_1|3]), (301,302,[0_1|3]), (302,303,[2_1|3]), (303,147,[4_1|3]), (303,181,[4_1|3]), (304,305,[3_1|3]), (305,306,[4_1|3]), (306,290,[5_1|3]), (307,308,[4_1|3]), (308,309,[5_1|3]), (309,310,[3_1|3]), (310,290,[1_1|3]), (311,312,[3_1|3]), (312,313,[1_1|3]), (313,191,[2_1|3]), (313,216,[2_1|3]), (313,223,[2_1|3]), (313,249,[2_1|3]), (313,259,[2_1|3]), (313,202,[2_1|3]), (313,362,[2_1|3]), (313,287,[2_1|3]), (314,315,[5_1|3]), (315,316,[3_1|3]), (316,317,[1_1|3]), (317,207,[2_1|3]), (318,319,[0_1|3]), (319,320,[2_1|3]), (320,321,[4_1|3]), (321,322,[5_1|3]), (321,294,[1_1|2]), (321,371,[1_1|3]), (322,91,[5_1|3]), (322,107,[5_1|3]), (322,190,[5_1|3]), (322,200,[5_1|3]), (322,205,[5_1|3]), (322,215,[5_1|3]), (322,222,[5_1|3]), (322,226,[5_1|3]), (322,238,[5_1|3]), (322,248,[5_1|3]), (322,258,[5_1|3]), (322,294,[5_1|3, 1_1|2]), (322,290,[5_1|3]), (322,147,[5_1|3]), (322,181,[5_1|3]), (322,268,[5_1|2]), (322,271,[5_1|2]), (322,275,[5_1|2]), (322,280,[3_1|2]), (322,285,[3_1|2]), (322,289,[5_1|2]), (322,311,[5_1|3]), (322,314,[5_1|3]), (323,324,[2_1|3]), (324,325,[1_1|3]), (325,107,[1_1|3]), (325,190,[1_1|3]), (325,200,[1_1|3]), (325,205,[1_1|3]), (325,215,[1_1|3]), (325,222,[1_1|3]), (325,226,[1_1|3]), (325,238,[1_1|3]), (325,248,[1_1|3]), (325,258,[1_1|3]), (325,294,[1_1|3]), (325,108,[1_1|3]), (325,201,[1_1|3]), (325,318,[1_1|3]), (326,327,[0_1|3]), (327,328,[2_1|3]), (328,329,[1_1|3]), (329,107,[1_1|3]), (329,190,[1_1|3]), (329,200,[1_1|3]), (329,205,[1_1|3]), (329,215,[1_1|3]), (329,222,[1_1|3]), (329,226,[1_1|3]), (329,238,[1_1|3]), (329,248,[1_1|3]), (329,258,[1_1|3]), (329,294,[1_1|3]), (329,108,[1_1|3]), (329,201,[1_1|3]), (329,318,[1_1|3]), (330,331,[2_1|3]), (331,332,[1_1|3]), (332,333,[2_1|3]), (333,107,[1_1|3]), (333,190,[1_1|3]), (333,200,[1_1|3]), (333,205,[1_1|3]), (333,215,[1_1|3]), (333,222,[1_1|3]), (333,226,[1_1|3]), (333,238,[1_1|3]), (333,248,[1_1|3]), (333,258,[1_1|3]), (333,294,[1_1|3]), (333,108,[1_1|3]), (333,201,[1_1|3]), (333,318,[1_1|3]), (334,335,[1_1|3]), (335,336,[0_1|3]), (336,337,[2_1|3]), (337,107,[1_1|3]), (337,190,[1_1|3]), (337,200,[1_1|3]), (337,205,[1_1|3]), (337,215,[1_1|3]), (337,222,[1_1|3]), (337,226,[1_1|3]), (337,238,[1_1|3]), (337,248,[1_1|3]), (337,258,[1_1|3]), (337,294,[1_1|3]), (337,108,[1_1|3]), (337,201,[1_1|3]), (337,318,[1_1|3]), (338,339,[1_1|3]), (339,340,[0_1|3]), (340,341,[0_1|3]), (341,342,[2_1|3]), (342,147,[4_1|3]), (342,181,[4_1|3]), (343,344,[2_1|3]), (344,345,[1_1|3]), (345,346,[2_1|3]), (346,347,[4_1|3]), (347,235,[1_1|3]), (347,244,[1_1|3]), (348,349,[0_1|3]), (349,350,[0_1|3]), (350,351,[2_1|3]), (351,352,[1_1|3]), (352,235,[1_1|3]), (352,244,[1_1|3]), (353,354,[0_1|3]), (354,355,[2_1|3]), (355,356,[1_1|3]), (356,357,[1_1|3]), (357,290,[5_1|3]), (358,359,[3_1|3]), (359,360,[1_1|3]), (360,112,[2_1|3]), (360,230,[2_1|3]), (360,263,[2_1|3]), (360,280,[2_1|3]), (360,285,[2_1|3]), (360,208,[2_1|3]), (360,191,[2_1|3]), (360,216,[2_1|3]), (360,223,[2_1|3]), (360,249,[2_1|3]), (360,259,[2_1|3]), (360,202,[2_1|3]), (361,362,[3_1|3]), (362,363,[0_1|3]), (363,364,[2_1|3]), (364,365,[4_1|3]), (365,147,[5_1|3]), (365,181,[5_1|3]), (366,367,[3_1|3]), (367,368,[4_1|3]), (368,369,[3_1|3]), (369,370,[1_1|3]), (370,236,[2_1|3]), (371,372,[0_1|3]), (372,373,[2_1|3]), (373,374,[4_1|3]), (374,375,[5_1|3]), (375,147,[5_1|3]), (375,181,[5_1|3]), (376,377,[2_1|3]), (377,378,[1_1|3]), (378,318,[1_1|3]), (379,380,[0_1|3]), (380,381,[2_1|3]), (381,382,[1_1|3]), (382,318,[1_1|3]), (383,384,[2_1|3]), (384,385,[1_1|3]), (385,386,[2_1|3]), (386,318,[1_1|3]), (387,388,[1_1|3]), (388,389,[0_1|3]), (389,390,[2_1|3]), (390,318,[1_1|3]), (391,392,[1_1|3]), (392,393,[5_1|3]), (393,394,[0_1|3]), (394,207,[2_1|3]), (395,396,[3_1|3]), (396,397,[1_1|3]), (397,398,[2_1|3]), (398,399,[1_1|3]), (399,207,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)