/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 91 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 62 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(0(x1))) -> 0(0(1(0(1(x1))))) 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 0(3(2(x1))) -> 2(1(3(0(x1)))) 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 3(2(0(x1))) -> 0(2(1(3(x1)))) 3(2(0(x1))) -> 3(0(2(1(x1)))) 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 3(2(5(x1))) -> 1(3(5(2(x1)))) 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1)))))) 5(1(0(2(4(x1))))) -> 2(1(5(4(0(3(x1)))))) 5(1(3(2(0(x1))))) -> 2(3(5(0(1(1(x1)))))) 5(4(2(0(2(x1))))) -> 5(0(4(2(1(2(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(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(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)) encArg(cons_4(x_1)) -> 4(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(0(x1))) -> 0(0(1(0(1(x1))))) 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 0(3(2(x1))) -> 2(1(3(0(x1)))) 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 3(2(0(x1))) -> 0(2(1(3(x1)))) 3(2(0(x1))) -> 3(0(2(1(x1)))) 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 3(2(5(x1))) -> 1(3(5(2(x1)))) 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1)))))) 5(1(0(2(4(x1))))) -> 2(1(5(4(0(3(x1)))))) 5(1(3(2(0(x1))))) -> 2(3(5(0(1(1(x1)))))) 5(4(2(0(2(x1))))) -> 5(0(4(2(1(2(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(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)) encArg(cons_4(x_1)) -> 4(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(0(x1))) -> 0(0(1(0(1(x1))))) 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 0(3(2(x1))) -> 2(1(3(0(x1)))) 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 3(2(0(x1))) -> 0(2(1(3(x1)))) 3(2(0(x1))) -> 3(0(2(1(x1)))) 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 3(2(5(x1))) -> 1(3(5(2(x1)))) 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1)))))) 5(1(0(2(4(x1))))) -> 2(1(5(4(0(3(x1)))))) 5(1(3(2(0(x1))))) -> 2(3(5(0(1(1(x1)))))) 5(4(2(0(2(x1))))) -> 5(0(4(2(1(2(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(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)) encArg(cons_4(x_1)) -> 4(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(0(x1))) -> 0(0(1(0(1(x1))))) 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 0(3(2(x1))) -> 2(1(3(0(x1)))) 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 3(2(0(x1))) -> 0(2(1(3(x1)))) 3(2(0(x1))) -> 3(0(2(1(x1)))) 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 3(2(5(x1))) -> 1(3(5(2(x1)))) 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1)))))) 5(1(0(2(4(x1))))) -> 2(1(5(4(0(3(x1)))))) 5(1(3(2(0(x1))))) -> 2(3(5(0(1(1(x1)))))) 5(4(2(0(2(x1))))) -> 5(0(4(2(1(2(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(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)) encArg(cons_4(x_1)) -> 4(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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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] {(62,63,[0_1|0, 3_1|0, 5_1|0, 4_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]), (62,64,[1_1|1, 2_1|1, 0_1|1, 3_1|1, 5_1|1, 4_1|1]), (62,65,[0_1|2]), (62,69,[0_1|2]), (62,74,[0_1|2]), (62,79,[0_1|2]), (62,83,[2_1|2]), (62,86,[2_1|2]), (62,91,[1_1|2]), (62,95,[4_1|2]), (62,100,[2_1|2]), (62,104,[5_1|2]), (62,109,[5_1|2]), (62,114,[0_1|2]), (62,118,[3_1|2]), (62,123,[3_1|2]), (62,128,[3_1|2]), (62,133,[0_1|2]), (62,138,[0_1|2]), (62,141,[3_1|2]), (62,144,[0_1|2]), (62,148,[3_1|2]), (62,153,[1_1|2]), (62,158,[4_1|2]), (62,163,[3_1|2]), (62,167,[3_1|2]), (62,172,[1_1|2]), (62,175,[3_1|2]), (62,179,[1_1|2]), (62,184,[1_1|2]), (62,189,[3_1|2]), (62,193,[3_1|2]), (62,198,[3_1|2]), (62,203,[3_1|2]), (62,207,[3_1|2]), (62,212,[1_1|2]), (62,217,[0_1|2]), (62,222,[1_1|2]), (62,226,[0_1|2]), (62,230,[5_1|2]), (62,235,[1_1|2]), (62,240,[5_1|2]), (62,244,[1_1|2]), (62,249,[5_1|2]), (62,254,[5_1|2]), (62,259,[5_1|2]), (62,264,[2_1|2]), (62,269,[2_1|2]), (62,274,[4_1|2]), (62,279,[0_1|2]), (62,283,[0_1|3]), (62,287,[0_1|3]), 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(387,86,[2_1|2]), (387,91,[1_1|2]), (387,95,[4_1|2]), (387,100,[2_1|2]), (387,104,[5_1|2]), (387,109,[5_1|2]), (387,299,[2_1|3]), (387,283,[0_1|3]), (387,287,[0_1|3]), (388,389,[1_1|3]), (389,390,[0_1|3]), (390,391,[5_1|3]), (390,445,[5_1|4]), (390,388,[1_1|3]), (391,392,[5_1|3]), (391,344,[0_1|3]), (391,357,[1_1|3]), (392,65,[0_1|3]), (392,69,[0_1|3]), (392,74,[0_1|3]), (392,79,[0_1|3]), (392,114,[0_1|3]), (392,133,[0_1|3]), (392,138,[0_1|3]), (392,144,[0_1|3]), (392,217,[0_1|3]), (392,226,[0_1|3]), (392,279,[0_1|3]), (392,283,[0_1|3]), (392,287,[0_1|3]), (392,66,[0_1|3]), (392,75,[0_1|3]), (392,80,[0_1|3]), (392,296,[0_1|3]), (393,394,[1_1|3]), (394,395,[1_1|3]), (395,396,[1_1|3]), (396,397,[0_1|3]), (397,262,[2_1|3]), (398,399,[1_1|3]), (399,400,[3_1|3]), (400,83,[0_1|3]), (400,86,[0_1|3]), (400,100,[0_1|3]), (400,264,[0_1|3]), (400,269,[0_1|3]), (400,194,[0_1|3]), (400,415,[0_1|3]), (401,402,[1_1|3]), (402,403,[3_1|3]), (403,404,[0_1|3]), (404,154,[2_1|3]), (404,160,[2_1|3]), (405,406,[1_1|3]), (406,407,[0_1|3]), (407,408,[5_1|3]), (408,409,[1_1|3]), (409,272,[1_1|3]), (410,411,[4_1|3]), (411,412,[0_1|3]), (412,413,[5_1|3]), (413,414,[1_1|3]), (414,393,[3_1|3]), (415,416,[0_1|3]), (416,417,[2_1|3]), (417,418,[1_1|3]), (418,196,[1_1|3]), (419,420,[1_1|4]), (420,421,[3_1|4]), (421,422,[4_1|4]), (422,308,[1_1|4]), (423,424,[5_1|4]), (424,425,[4_1|4]), (425,426,[1_1|4]), (426,373,[1_1|4]), (427,428,[1_1|4]), (428,429,[1_1|4]), (429,430,[1_1|4]), (430,431,[0_1|4]), (431,309,[2_1|4]), (432,433,[0_1|4]), (433,434,[2_1|4]), (434,435,[1_1|4]), (435,283,[1_1|4]), (435,287,[1_1|4]), (436,437,[1_1|4]), (437,438,[1_1|4]), (438,439,[5_1|4]), (439,111,[0_1|4]), (440,441,[1_1|4]), (441,442,[1_1|4]), (442,443,[1_1|4]), (443,444,[0_1|4]), (444,374,[2_1|4]), (445,446,[1_1|4]), (446,447,[1_1|4]), (447,448,[5_1|4]), (447,344,[0_1|3]), (447,357,[1_1|3]), (448,65,[0_1|4]), (448,69,[0_1|4]), (448,74,[0_1|4]), (448,79,[0_1|4]), (448,114,[0_1|4]), (448,133,[0_1|4]), (448,138,[0_1|4]), (448,144,[0_1|4]), (448,217,[0_1|4]), (448,226,[0_1|4]), (448,279,[0_1|4]), (448,283,[0_1|4]), (448,287,[0_1|4]), (448,66,[0_1|4]), (448,75,[0_1|4]), (448,80,[0_1|4]), (448,296,[0_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)