/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 42 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 122 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(0(2(1(3(x1))))) 0(0(1(x1))) -> 0(0(2(2(3(1(x1)))))) 0(4(1(x1))) -> 0(4(2(2(1(x1))))) 0(4(1(x1))) -> 0(2(3(1(4(2(x1)))))) 1(0(1(x1))) -> 0(2(1(1(x1)))) 1(0(1(x1))) -> 0(2(1(1(2(x1))))) 1(0(1(x1))) -> 1(0(3(2(1(x1))))) 1(4(0(x1))) -> 1(0(3(2(4(2(x1)))))) 1(4(1(x1))) -> 4(2(1(1(x1)))) 1(4(1(x1))) -> 4(2(1(1(2(1(x1)))))) 4(0(1(x1))) -> 4(0(2(1(x1)))) 5(0(1(x1))) -> 5(0(2(1(x1)))) 5(0(1(x1))) -> 0(2(1(5(3(x1))))) 5(0(1(x1))) -> 0(3(2(1(5(5(x1)))))) 5(0(1(x1))) -> 3(0(2(3(5(1(x1)))))) 5(0(5(x1))) -> 0(3(2(5(3(5(x1)))))) 5(4(1(x1))) -> 2(4(2(5(1(3(x1)))))) 5(4(1(x1))) -> 4(5(2(1(3(3(x1)))))) 0(0(4(5(x1)))) -> 0(5(0(2(4(2(x1)))))) 0(1(2(0(x1)))) -> 2(0(2(1(0(x1))))) 0(2(0(1(x1)))) -> 0(0(2(1(3(x1))))) 0(3(4(0(x1)))) -> 3(2(4(0(0(3(x1)))))) 0(4(0(4(x1)))) -> 0(0(3(2(4(4(x1)))))) 1(0(1(4(x1)))) -> 2(3(1(1(4(0(x1)))))) 1(0(3(1(x1)))) -> 4(2(3(1(1(0(x1)))))) 1(2(0(4(x1)))) -> 1(4(2(0(3(2(x1)))))) 1(3(0(4(x1)))) -> 4(0(3(2(1(3(x1)))))) 1(4(1(5(x1)))) -> 2(1(2(5(1(4(x1)))))) 4(0(5(1(x1)))) -> 0(2(4(2(1(5(x1)))))) 4(1(0(0(x1)))) -> 3(2(1(4(0(0(x1)))))) 4(1(0(4(x1)))) -> 4(4(0(2(1(x1))))) 5(0(0(1(x1)))) -> 0(3(2(5(1(0(x1)))))) 5(0(3(1(x1)))) -> 0(5(3(2(1(x1))))) 5(0(3(1(x1)))) -> 0(3(5(2(2(1(x1)))))) 5(0(5(1(x1)))) -> 5(2(5(3(1(0(x1)))))) 5(2(4(1(x1)))) -> 2(1(4(2(5(x1))))) 5(4(1(5(x1)))) -> 4(5(5(2(1(x1))))) 5(4(1(5(x1)))) -> 2(1(5(4(2(5(x1)))))) 5(4(3(1(x1)))) -> 5(4(2(1(3(x1))))) 5(4(3(1(x1)))) -> 3(5(2(4(2(1(x1)))))) 5(4(3(1(x1)))) -> 5(2(4(3(2(1(x1)))))) 5(5(0(4(x1)))) -> 5(0(2(5(4(2(x1)))))) 0(0(3(3(1(x1))))) -> 0(3(0(1(2(3(x1)))))) 0(2(4(3(1(x1))))) -> 0(2(3(1(4(2(x1)))))) 0(5(4(1(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 1(2(4(3(1(x1))))) -> 1(2(3(3(1(4(x1)))))) 4(0(0(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 4(0(0(3(1(x1))))) -> 4(3(2(0(0(1(x1)))))) 5(1(0(0(5(x1))))) -> 5(0(0(2(1(5(x1)))))) 5(4(2(0(1(x1))))) -> 2(5(4(0(2(1(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (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(0(2(1(3(x1))))) 0(0(1(x1))) -> 0(0(2(2(3(1(x1)))))) 0(4(1(x1))) -> 0(4(2(2(1(x1))))) 0(4(1(x1))) -> 0(2(3(1(4(2(x1)))))) 1(0(1(x1))) -> 0(2(1(1(x1)))) 1(0(1(x1))) -> 0(2(1(1(2(x1))))) 1(0(1(x1))) -> 1(0(3(2(1(x1))))) 1(4(0(x1))) -> 1(0(3(2(4(2(x1)))))) 1(4(1(x1))) -> 4(2(1(1(x1)))) 1(4(1(x1))) -> 4(2(1(1(2(1(x1)))))) 4(0(1(x1))) -> 4(0(2(1(x1)))) 5(0(1(x1))) -> 5(0(2(1(x1)))) 5(0(1(x1))) -> 0(2(1(5(3(x1))))) 5(0(1(x1))) -> 0(3(2(1(5(5(x1)))))) 5(0(1(x1))) -> 3(0(2(3(5(1(x1)))))) 5(0(5(x1))) -> 0(3(2(5(3(5(x1)))))) 5(4(1(x1))) -> 2(4(2(5(1(3(x1)))))) 5(4(1(x1))) -> 4(5(2(1(3(3(x1)))))) 0(0(4(5(x1)))) -> 0(5(0(2(4(2(x1)))))) 0(1(2(0(x1)))) -> 2(0(2(1(0(x1))))) 0(2(0(1(x1)))) -> 0(0(2(1(3(x1))))) 0(3(4(0(x1)))) -> 3(2(4(0(0(3(x1)))))) 0(4(0(4(x1)))) -> 0(0(3(2(4(4(x1)))))) 1(0(1(4(x1)))) -> 2(3(1(1(4(0(x1)))))) 1(0(3(1(x1)))) -> 4(2(3(1(1(0(x1)))))) 1(2(0(4(x1)))) -> 1(4(2(0(3(2(x1)))))) 1(3(0(4(x1)))) -> 4(0(3(2(1(3(x1)))))) 1(4(1(5(x1)))) -> 2(1(2(5(1(4(x1)))))) 4(0(5(1(x1)))) -> 0(2(4(2(1(5(x1)))))) 4(1(0(0(x1)))) -> 3(2(1(4(0(0(x1)))))) 4(1(0(4(x1)))) -> 4(4(0(2(1(x1))))) 5(0(0(1(x1)))) -> 0(3(2(5(1(0(x1)))))) 5(0(3(1(x1)))) -> 0(5(3(2(1(x1))))) 5(0(3(1(x1)))) -> 0(3(5(2(2(1(x1)))))) 5(0(5(1(x1)))) -> 5(2(5(3(1(0(x1)))))) 5(2(4(1(x1)))) -> 2(1(4(2(5(x1))))) 5(4(1(5(x1)))) -> 4(5(5(2(1(x1))))) 5(4(1(5(x1)))) -> 2(1(5(4(2(5(x1)))))) 5(4(3(1(x1)))) -> 5(4(2(1(3(x1))))) 5(4(3(1(x1)))) -> 3(5(2(4(2(1(x1)))))) 5(4(3(1(x1)))) -> 5(2(4(3(2(1(x1)))))) 5(5(0(4(x1)))) -> 5(0(2(5(4(2(x1)))))) 0(0(3(3(1(x1))))) -> 0(3(0(1(2(3(x1)))))) 0(2(4(3(1(x1))))) -> 0(2(3(1(4(2(x1)))))) 0(5(4(1(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 1(2(4(3(1(x1))))) -> 1(2(3(3(1(4(x1)))))) 4(0(0(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 4(0(0(3(1(x1))))) -> 4(3(2(0(0(1(x1)))))) 5(1(0(0(5(x1))))) -> 5(0(0(2(1(5(x1)))))) 5(4(2(0(1(x1))))) -> 2(5(4(0(2(1(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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(0(2(1(3(x1))))) 0(0(1(x1))) -> 0(0(2(2(3(1(x1)))))) 0(4(1(x1))) -> 0(4(2(2(1(x1))))) 0(4(1(x1))) -> 0(2(3(1(4(2(x1)))))) 1(0(1(x1))) -> 0(2(1(1(x1)))) 1(0(1(x1))) -> 0(2(1(1(2(x1))))) 1(0(1(x1))) -> 1(0(3(2(1(x1))))) 1(4(0(x1))) -> 1(0(3(2(4(2(x1)))))) 1(4(1(x1))) -> 4(2(1(1(x1)))) 1(4(1(x1))) -> 4(2(1(1(2(1(x1)))))) 4(0(1(x1))) -> 4(0(2(1(x1)))) 5(0(1(x1))) -> 5(0(2(1(x1)))) 5(0(1(x1))) -> 0(2(1(5(3(x1))))) 5(0(1(x1))) -> 0(3(2(1(5(5(x1)))))) 5(0(1(x1))) -> 3(0(2(3(5(1(x1)))))) 5(0(5(x1))) -> 0(3(2(5(3(5(x1)))))) 5(4(1(x1))) -> 2(4(2(5(1(3(x1)))))) 5(4(1(x1))) -> 4(5(2(1(3(3(x1)))))) 0(0(4(5(x1)))) -> 0(5(0(2(4(2(x1)))))) 0(1(2(0(x1)))) -> 2(0(2(1(0(x1))))) 0(2(0(1(x1)))) -> 0(0(2(1(3(x1))))) 0(3(4(0(x1)))) -> 3(2(4(0(0(3(x1)))))) 0(4(0(4(x1)))) -> 0(0(3(2(4(4(x1)))))) 1(0(1(4(x1)))) -> 2(3(1(1(4(0(x1)))))) 1(0(3(1(x1)))) -> 4(2(3(1(1(0(x1)))))) 1(2(0(4(x1)))) -> 1(4(2(0(3(2(x1)))))) 1(3(0(4(x1)))) -> 4(0(3(2(1(3(x1)))))) 1(4(1(5(x1)))) -> 2(1(2(5(1(4(x1)))))) 4(0(5(1(x1)))) -> 0(2(4(2(1(5(x1)))))) 4(1(0(0(x1)))) -> 3(2(1(4(0(0(x1)))))) 4(1(0(4(x1)))) -> 4(4(0(2(1(x1))))) 5(0(0(1(x1)))) -> 0(3(2(5(1(0(x1)))))) 5(0(3(1(x1)))) -> 0(5(3(2(1(x1))))) 5(0(3(1(x1)))) -> 0(3(5(2(2(1(x1)))))) 5(0(5(1(x1)))) -> 5(2(5(3(1(0(x1)))))) 5(2(4(1(x1)))) -> 2(1(4(2(5(x1))))) 5(4(1(5(x1)))) -> 4(5(5(2(1(x1))))) 5(4(1(5(x1)))) -> 2(1(5(4(2(5(x1)))))) 5(4(3(1(x1)))) -> 5(4(2(1(3(x1))))) 5(4(3(1(x1)))) -> 3(5(2(4(2(1(x1)))))) 5(4(3(1(x1)))) -> 5(2(4(3(2(1(x1)))))) 5(5(0(4(x1)))) -> 5(0(2(5(4(2(x1)))))) 0(0(3(3(1(x1))))) -> 0(3(0(1(2(3(x1)))))) 0(2(4(3(1(x1))))) -> 0(2(3(1(4(2(x1)))))) 0(5(4(1(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 1(2(4(3(1(x1))))) -> 1(2(3(3(1(4(x1)))))) 4(0(0(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 4(0(0(3(1(x1))))) -> 4(3(2(0(0(1(x1)))))) 5(1(0(0(5(x1))))) -> 5(0(0(2(1(5(x1)))))) 5(4(2(0(1(x1))))) -> 2(5(4(0(2(1(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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(0(2(1(3(x1))))) 0(0(1(x1))) -> 0(0(2(2(3(1(x1)))))) 0(4(1(x1))) -> 0(4(2(2(1(x1))))) 0(4(1(x1))) -> 0(2(3(1(4(2(x1)))))) 1(0(1(x1))) -> 0(2(1(1(x1)))) 1(0(1(x1))) -> 0(2(1(1(2(x1))))) 1(0(1(x1))) -> 1(0(3(2(1(x1))))) 1(4(0(x1))) -> 1(0(3(2(4(2(x1)))))) 1(4(1(x1))) -> 4(2(1(1(x1)))) 1(4(1(x1))) -> 4(2(1(1(2(1(x1)))))) 4(0(1(x1))) -> 4(0(2(1(x1)))) 5(0(1(x1))) -> 5(0(2(1(x1)))) 5(0(1(x1))) -> 0(2(1(5(3(x1))))) 5(0(1(x1))) -> 0(3(2(1(5(5(x1)))))) 5(0(1(x1))) -> 3(0(2(3(5(1(x1)))))) 5(0(5(x1))) -> 0(3(2(5(3(5(x1)))))) 5(4(1(x1))) -> 2(4(2(5(1(3(x1)))))) 5(4(1(x1))) -> 4(5(2(1(3(3(x1)))))) 0(0(4(5(x1)))) -> 0(5(0(2(4(2(x1)))))) 0(1(2(0(x1)))) -> 2(0(2(1(0(x1))))) 0(2(0(1(x1)))) -> 0(0(2(1(3(x1))))) 0(3(4(0(x1)))) -> 3(2(4(0(0(3(x1)))))) 0(4(0(4(x1)))) -> 0(0(3(2(4(4(x1)))))) 1(0(1(4(x1)))) -> 2(3(1(1(4(0(x1)))))) 1(0(3(1(x1)))) -> 4(2(3(1(1(0(x1)))))) 1(2(0(4(x1)))) -> 1(4(2(0(3(2(x1)))))) 1(3(0(4(x1)))) -> 4(0(3(2(1(3(x1)))))) 1(4(1(5(x1)))) -> 2(1(2(5(1(4(x1)))))) 4(0(5(1(x1)))) -> 0(2(4(2(1(5(x1)))))) 4(1(0(0(x1)))) -> 3(2(1(4(0(0(x1)))))) 4(1(0(4(x1)))) -> 4(4(0(2(1(x1))))) 5(0(0(1(x1)))) -> 0(3(2(5(1(0(x1)))))) 5(0(3(1(x1)))) -> 0(5(3(2(1(x1))))) 5(0(3(1(x1)))) -> 0(3(5(2(2(1(x1)))))) 5(0(5(1(x1)))) -> 5(2(5(3(1(0(x1)))))) 5(2(4(1(x1)))) -> 2(1(4(2(5(x1))))) 5(4(1(5(x1)))) -> 4(5(5(2(1(x1))))) 5(4(1(5(x1)))) -> 2(1(5(4(2(5(x1)))))) 5(4(3(1(x1)))) -> 5(4(2(1(3(x1))))) 5(4(3(1(x1)))) -> 3(5(2(4(2(1(x1)))))) 5(4(3(1(x1)))) -> 5(2(4(3(2(1(x1)))))) 5(5(0(4(x1)))) -> 5(0(2(5(4(2(x1)))))) 0(0(3(3(1(x1))))) -> 0(3(0(1(2(3(x1)))))) 0(2(4(3(1(x1))))) -> 0(2(3(1(4(2(x1)))))) 0(5(4(1(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 1(2(4(3(1(x1))))) -> 1(2(3(3(1(4(x1)))))) 4(0(0(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 4(0(0(3(1(x1))))) -> 4(3(2(0(0(1(x1)))))) 5(1(0(0(5(x1))))) -> 5(0(0(2(1(5(x1)))))) 5(4(2(0(1(x1))))) -> 2(5(4(0(2(1(x1)))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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. 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276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 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] {(71,72,[0_1|0, 1_1|0, 4_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]), (71,73,[2_1|1, 3_1|1, 0_1|1, 1_1|1, 4_1|1, 5_1|1]), (71,74,[0_1|2]), (71,78,[0_1|2]), (71,83,[0_1|2]), (71,88,[0_1|2]), 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1_1|2]), (397,165,[1_1|3, 1_1|2]), (397,322,[1_1|3]), (397,121,[0_1|2]), (397,124,[0_1|2]), (397,132,[2_1|2]), (397,137,[4_1|2]), (397,147,[4_1|2]), (397,150,[4_1|2]), (397,155,[2_1|2]), (397,170,[4_1|2]), (398,399,[0_1|3]), (399,400,[2_1|3]), (400,401,[1_1|3]), (401,108,[0_1|3]), (402,403,[0_1|3]), (403,404,[3_1|3]), (404,405,[2_1|3]), (405,406,[4_1|3]), (406,197,[2_1|3]), (406,74,[2_1|3]), (406,78,[2_1|3]), (406,83,[2_1|3]), (406,88,[2_1|3]), (406,407,[2_1|3]), (406,411,[2_1|3]), (406,416,[2_1|3]), (406,184,[2_1|3]), (407,408,[0_1|3]), (408,409,[2_1|3]), (409,410,[1_1|3]), (410,128,[3_1|3]), (410,142,[3_1|3]), (410,160,[3_1|3]), (410,165,[3_1|3]), (411,412,[0_1|3]), (412,413,[2_1|3]), (413,414,[2_1|3]), (414,415,[3_1|3]), (415,128,[1_1|3]), (415,142,[1_1|3]), (415,160,[1_1|3]), (415,165,[1_1|3]), (416,417,[5_1|3]), (417,418,[0_1|3]), (418,419,[2_1|3]), (419,420,[4_1|3]), (420,249,[2_1|3]), (420,254,[2_1|3]), (421,422,[0_1|3]), (422,423,[2_1|3]), (423,424,[5_1|3]), (424,425,[4_1|3]), (425,94,[2_1|3]), (426,427,[0_1|3]), (427,428,[0_1|3]), (428,429,[2_1|3]), (429,430,[1_1|3]), (430,84,[5_1|3]), (430,235,[5_1|3]), (431,432,[0_1|4]), (432,433,[3_1|4]), (433,434,[2_1|4]), (434,435,[4_1|4]), (435,161,[2_1|4]), (436,437,[0_1|4]), (437,438,[2_1|4]), (438,439,[1_1|4]), (439,128,[3_1|4]), (439,142,[3_1|4]), (439,160,[3_1|4]), (439,165,[3_1|4]), (440,441,[0_1|4]), (441,442,[2_1|4]), (442,443,[2_1|4]), (443,444,[3_1|4]), (444,128,[1_1|4]), (444,142,[1_1|4]), (444,160,[1_1|4]), (444,165,[1_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)