/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 163 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 180 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(1(2(x1))) -> 0(3(1(2(x1)))) 0(1(2(x1))) -> 1(0(2(1(x1)))) 0(1(2(x1))) -> 2(1(4(0(x1)))) 0(1(2(x1))) -> 0(2(1(3(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(1(2(x1))) -> 1(0(2(5(4(x1))))) 0(1(2(x1))) -> 2(1(1(0(3(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(4(3(0(x1))))) 0(1(2(x1))) -> 4(0(3(1(2(x1))))) 0(1(2(x1))) -> 4(1(0(3(2(x1))))) 0(1(2(x1))) -> 4(4(2(1(0(x1))))) 0(1(2(x1))) -> 0(0(4(1(2(5(x1)))))) 0(1(2(x1))) -> 0(4(5(1(2(5(x1)))))) 0(1(2(x1))) -> 0(5(2(3(1(4(x1)))))) 0(1(2(x1))) -> 1(0(2(2(3(4(x1)))))) 0(1(2(x1))) -> 1(1(4(0(3(2(x1)))))) 0(1(2(x1))) -> 2(0(0(3(3(1(x1)))))) 0(1(2(x1))) -> 2(0(3(4(1(5(x1)))))) 0(1(2(x1))) -> 2(3(2(0(4(1(x1)))))) 0(1(2(x1))) -> 2(5(3(0(3(1(x1)))))) 0(1(2(x1))) -> 3(2(5(3(1(0(x1)))))) 0(1(2(x1))) -> 3(4(0(5(1(2(x1)))))) 0(1(2(x1))) -> 5(5(4(2(1(0(x1)))))) 0(0(1(2(x1)))) -> 0(0(2(4(1(x1))))) 0(0(1(2(x1)))) -> 0(2(1(5(0(4(x1)))))) 0(0(1(2(x1)))) -> 1(0(2(3(5(0(x1)))))) 0(0(1(2(x1)))) -> 5(1(2(0(4(0(x1)))))) 0(0(5(2(x1)))) -> 5(3(0(3(0(2(x1)))))) 0(1(2(0(x1)))) -> 1(2(4(0(0(x1))))) 0(1(2(0(x1)))) -> 0(4(1(0(0(2(x1)))))) 0(1(2(2(x1)))) -> 3(3(0(2(1(2(x1)))))) 0(1(5(2(x1)))) -> 2(5(1(0(3(x1))))) 0(1(5(2(x1)))) -> 0(5(5(3(1(2(x1)))))) 0(1(5(2(x1)))) -> 1(3(5(0(2(2(x1)))))) 0(5(2(2(x1)))) -> 3(0(2(1(5(2(x1)))))) 1(0(1(2(x1)))) -> 0(4(1(2(1(x1))))) 1(0(1(2(x1)))) -> 1(2(1(3(0(x1))))) 1(0(1(2(x1)))) -> 0(3(1(4(1(2(x1)))))) 1(0(1(2(x1)))) -> 4(1(4(1(0(2(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(5(x1))))) 5(0(1(2(x1)))) -> 2(0(3(1(5(x1))))) 5(0(1(2(x1)))) -> 5(3(1(0(3(2(x1)))))) 5(0(1(2(x1)))) -> 5(5(1(0(2(4(x1)))))) 0(1(0(2(2(x1))))) -> 3(0(2(1(0(2(x1)))))) 0(1(2(5(2(x1))))) -> 3(5(1(2(2(0(x1)))))) 0(1(3(0(0(x1))))) -> 0(0(4(1(3(0(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(1(5(2(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(2(1(1(x1)))))) 1(3(0(1(2(x1))))) -> 1(3(4(1(0(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(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_1(x_1)) -> 1(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(1(2(x1))) -> 0(3(1(2(x1)))) 0(1(2(x1))) -> 1(0(2(1(x1)))) 0(1(2(x1))) -> 2(1(4(0(x1)))) 0(1(2(x1))) -> 0(2(1(3(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(1(2(x1))) -> 1(0(2(5(4(x1))))) 0(1(2(x1))) -> 2(1(1(0(3(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(4(3(0(x1))))) 0(1(2(x1))) -> 4(0(3(1(2(x1))))) 0(1(2(x1))) -> 4(1(0(3(2(x1))))) 0(1(2(x1))) -> 4(4(2(1(0(x1))))) 0(1(2(x1))) -> 0(0(4(1(2(5(x1)))))) 0(1(2(x1))) -> 0(4(5(1(2(5(x1)))))) 0(1(2(x1))) -> 0(5(2(3(1(4(x1)))))) 0(1(2(x1))) -> 1(0(2(2(3(4(x1)))))) 0(1(2(x1))) -> 1(1(4(0(3(2(x1)))))) 0(1(2(x1))) -> 2(0(0(3(3(1(x1)))))) 0(1(2(x1))) -> 2(0(3(4(1(5(x1)))))) 0(1(2(x1))) -> 2(3(2(0(4(1(x1)))))) 0(1(2(x1))) -> 2(5(3(0(3(1(x1)))))) 0(1(2(x1))) -> 3(2(5(3(1(0(x1)))))) 0(1(2(x1))) -> 3(4(0(5(1(2(x1)))))) 0(1(2(x1))) -> 5(5(4(2(1(0(x1)))))) 0(0(1(2(x1)))) -> 0(0(2(4(1(x1))))) 0(0(1(2(x1)))) -> 0(2(1(5(0(4(x1)))))) 0(0(1(2(x1)))) -> 1(0(2(3(5(0(x1)))))) 0(0(1(2(x1)))) -> 5(1(2(0(4(0(x1)))))) 0(0(5(2(x1)))) -> 5(3(0(3(0(2(x1)))))) 0(1(2(0(x1)))) -> 1(2(4(0(0(x1))))) 0(1(2(0(x1)))) -> 0(4(1(0(0(2(x1)))))) 0(1(2(2(x1)))) -> 3(3(0(2(1(2(x1)))))) 0(1(5(2(x1)))) -> 2(5(1(0(3(x1))))) 0(1(5(2(x1)))) -> 0(5(5(3(1(2(x1)))))) 0(1(5(2(x1)))) -> 1(3(5(0(2(2(x1)))))) 0(5(2(2(x1)))) -> 3(0(2(1(5(2(x1)))))) 1(0(1(2(x1)))) -> 0(4(1(2(1(x1))))) 1(0(1(2(x1)))) -> 1(2(1(3(0(x1))))) 1(0(1(2(x1)))) -> 0(3(1(4(1(2(x1)))))) 1(0(1(2(x1)))) -> 4(1(4(1(0(2(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(5(x1))))) 5(0(1(2(x1)))) -> 2(0(3(1(5(x1))))) 5(0(1(2(x1)))) -> 5(3(1(0(3(2(x1)))))) 5(0(1(2(x1)))) -> 5(5(1(0(2(4(x1)))))) 0(1(0(2(2(x1))))) -> 3(0(2(1(0(2(x1)))))) 0(1(2(5(2(x1))))) -> 3(5(1(2(2(0(x1)))))) 0(1(3(0(0(x1))))) -> 0(0(4(1(3(0(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(1(5(2(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(2(1(1(x1)))))) 1(3(0(1(2(x1))))) -> 1(3(4(1(0(2(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_1(x_1)) -> 1(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(1(2(x1))) -> 0(3(1(2(x1)))) 0(1(2(x1))) -> 1(0(2(1(x1)))) 0(1(2(x1))) -> 2(1(4(0(x1)))) 0(1(2(x1))) -> 0(2(1(3(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(1(2(x1))) -> 1(0(2(5(4(x1))))) 0(1(2(x1))) -> 2(1(1(0(3(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(4(3(0(x1))))) 0(1(2(x1))) -> 4(0(3(1(2(x1))))) 0(1(2(x1))) -> 4(1(0(3(2(x1))))) 0(1(2(x1))) -> 4(4(2(1(0(x1))))) 0(1(2(x1))) -> 0(0(4(1(2(5(x1)))))) 0(1(2(x1))) -> 0(4(5(1(2(5(x1)))))) 0(1(2(x1))) -> 0(5(2(3(1(4(x1)))))) 0(1(2(x1))) -> 1(0(2(2(3(4(x1)))))) 0(1(2(x1))) -> 1(1(4(0(3(2(x1)))))) 0(1(2(x1))) -> 2(0(0(3(3(1(x1)))))) 0(1(2(x1))) -> 2(0(3(4(1(5(x1)))))) 0(1(2(x1))) -> 2(3(2(0(4(1(x1)))))) 0(1(2(x1))) -> 2(5(3(0(3(1(x1)))))) 0(1(2(x1))) -> 3(2(5(3(1(0(x1)))))) 0(1(2(x1))) -> 3(4(0(5(1(2(x1)))))) 0(1(2(x1))) -> 5(5(4(2(1(0(x1)))))) 0(0(1(2(x1)))) -> 0(0(2(4(1(x1))))) 0(0(1(2(x1)))) -> 0(2(1(5(0(4(x1)))))) 0(0(1(2(x1)))) -> 1(0(2(3(5(0(x1)))))) 0(0(1(2(x1)))) -> 5(1(2(0(4(0(x1)))))) 0(0(5(2(x1)))) -> 5(3(0(3(0(2(x1)))))) 0(1(2(0(x1)))) -> 1(2(4(0(0(x1))))) 0(1(2(0(x1)))) -> 0(4(1(0(0(2(x1)))))) 0(1(2(2(x1)))) -> 3(3(0(2(1(2(x1)))))) 0(1(5(2(x1)))) -> 2(5(1(0(3(x1))))) 0(1(5(2(x1)))) -> 0(5(5(3(1(2(x1)))))) 0(1(5(2(x1)))) -> 1(3(5(0(2(2(x1)))))) 0(5(2(2(x1)))) -> 3(0(2(1(5(2(x1)))))) 1(0(1(2(x1)))) -> 0(4(1(2(1(x1))))) 1(0(1(2(x1)))) -> 1(2(1(3(0(x1))))) 1(0(1(2(x1)))) -> 0(3(1(4(1(2(x1)))))) 1(0(1(2(x1)))) -> 4(1(4(1(0(2(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(5(x1))))) 5(0(1(2(x1)))) -> 2(0(3(1(5(x1))))) 5(0(1(2(x1)))) -> 5(3(1(0(3(2(x1)))))) 5(0(1(2(x1)))) -> 5(5(1(0(2(4(x1)))))) 0(1(0(2(2(x1))))) -> 3(0(2(1(0(2(x1)))))) 0(1(2(5(2(x1))))) -> 3(5(1(2(2(0(x1)))))) 0(1(3(0(0(x1))))) -> 0(0(4(1(3(0(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(1(5(2(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(2(1(1(x1)))))) 1(3(0(1(2(x1))))) -> 1(3(4(1(0(2(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_1(x_1)) -> 1(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(1(2(x1))) -> 0(3(1(2(x1)))) 0(1(2(x1))) -> 1(0(2(1(x1)))) 0(1(2(x1))) -> 2(1(4(0(x1)))) 0(1(2(x1))) -> 0(2(1(3(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(1(2(x1))) -> 1(0(2(5(4(x1))))) 0(1(2(x1))) -> 2(1(1(0(3(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(4(3(0(x1))))) 0(1(2(x1))) -> 4(0(3(1(2(x1))))) 0(1(2(x1))) -> 4(1(0(3(2(x1))))) 0(1(2(x1))) -> 4(4(2(1(0(x1))))) 0(1(2(x1))) -> 0(0(4(1(2(5(x1)))))) 0(1(2(x1))) -> 0(4(5(1(2(5(x1)))))) 0(1(2(x1))) -> 0(5(2(3(1(4(x1)))))) 0(1(2(x1))) -> 1(0(2(2(3(4(x1)))))) 0(1(2(x1))) -> 1(1(4(0(3(2(x1)))))) 0(1(2(x1))) -> 2(0(0(3(3(1(x1)))))) 0(1(2(x1))) -> 2(0(3(4(1(5(x1)))))) 0(1(2(x1))) -> 2(3(2(0(4(1(x1)))))) 0(1(2(x1))) -> 2(5(3(0(3(1(x1)))))) 0(1(2(x1))) -> 3(2(5(3(1(0(x1)))))) 0(1(2(x1))) -> 3(4(0(5(1(2(x1)))))) 0(1(2(x1))) -> 5(5(4(2(1(0(x1)))))) 0(0(1(2(x1)))) -> 0(0(2(4(1(x1))))) 0(0(1(2(x1)))) -> 0(2(1(5(0(4(x1)))))) 0(0(1(2(x1)))) -> 1(0(2(3(5(0(x1)))))) 0(0(1(2(x1)))) -> 5(1(2(0(4(0(x1)))))) 0(0(5(2(x1)))) -> 5(3(0(3(0(2(x1)))))) 0(1(2(0(x1)))) -> 1(2(4(0(0(x1))))) 0(1(2(0(x1)))) -> 0(4(1(0(0(2(x1)))))) 0(1(2(2(x1)))) -> 3(3(0(2(1(2(x1)))))) 0(1(5(2(x1)))) -> 2(5(1(0(3(x1))))) 0(1(5(2(x1)))) -> 0(5(5(3(1(2(x1)))))) 0(1(5(2(x1)))) -> 1(3(5(0(2(2(x1)))))) 0(5(2(2(x1)))) -> 3(0(2(1(5(2(x1)))))) 1(0(1(2(x1)))) -> 0(4(1(2(1(x1))))) 1(0(1(2(x1)))) -> 1(2(1(3(0(x1))))) 1(0(1(2(x1)))) -> 0(3(1(4(1(2(x1)))))) 1(0(1(2(x1)))) -> 4(1(4(1(0(2(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(5(x1))))) 5(0(1(2(x1)))) -> 2(0(3(1(5(x1))))) 5(0(1(2(x1)))) -> 5(3(1(0(3(2(x1)))))) 5(0(1(2(x1)))) -> 5(5(1(0(2(4(x1)))))) 0(1(0(2(2(x1))))) -> 3(0(2(1(0(2(x1)))))) 0(1(2(5(2(x1))))) -> 3(5(1(2(2(0(x1)))))) 0(1(3(0(0(x1))))) -> 0(0(4(1(3(0(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(1(5(2(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(2(1(1(x1)))))) 1(3(0(1(2(x1))))) -> 1(3(4(1(0(2(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_1(x_1)) -> 1(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 3. The certificate found is represented by the following graph. 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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, 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(382,176,[1_1|3]), (382,262,[1_1|3]), (383,384,[0_1|3]), (384,385,[3_1|3]), (385,386,[4_1|3]), (386,387,[1_1|3]), (387,176,[5_1|3]), (387,262,[5_1|3]), (388,389,[3_1|3]), (389,390,[2_1|3]), (390,391,[0_1|3]), (391,392,[4_1|3]), (392,176,[1_1|3]), (392,262,[1_1|3]), (393,394,[5_1|3]), (394,395,[3_1|3]), (395,396,[0_1|3]), (396,397,[3_1|3]), (397,176,[1_1|3]), (397,262,[1_1|3]), (398,399,[2_1|3]), (399,400,[5_1|3]), (400,401,[3_1|3]), (401,402,[1_1|3]), (402,176,[0_1|3]), (402,262,[0_1|3]), (402,213,[0_1|2]), (402,473,[0_1|3]), (403,404,[4_1|3]), (404,405,[0_1|3]), (405,406,[5_1|3]), (406,407,[1_1|3]), (407,176,[2_1|3]), (407,262,[2_1|3]), (408,409,[5_1|3]), (409,410,[4_1|3]), (410,411,[2_1|3]), (411,412,[1_1|3]), (412,176,[0_1|3]), (412,262,[0_1|3]), (412,213,[0_1|2]), (412,473,[0_1|3]), (413,414,[4_1|3]), (414,415,[1_1|3]), (415,416,[2_1|3]), (416,176,[1_1|3]), (416,262,[1_1|3]), (417,418,[2_1|3]), (418,419,[1_1|3]), (419,420,[3_1|3]), (420,176,[0_1|3]), (420,262,[0_1|3]), (420,213,[0_1|2]), (420,473,[0_1|3]), (421,422,[3_1|3]), (422,423,[1_1|3]), (423,424,[4_1|3]), (424,425,[1_1|3]), (425,176,[2_1|3]), (425,262,[2_1|3]), (426,427,[1_1|3]), (427,428,[4_1|3]), (428,429,[1_1|3]), (429,430,[0_1|3]), (430,176,[2_1|3]), (430,262,[2_1|3]), (431,432,[0_1|3]), (432,433,[2_1|3]), (433,434,[4_1|3]), (434,176,[1_1|3]), (434,262,[1_1|3]), (435,436,[2_1|3]), (436,437,[1_1|3]), (437,438,[5_1|3]), (438,439,[0_1|3]), (439,176,[4_1|3]), (439,262,[4_1|3]), (440,441,[0_1|3]), (441,442,[2_1|3]), (442,443,[3_1|3]), (443,444,[5_1|3]), (444,176,[0_1|3]), (444,262,[0_1|3]), (444,213,[0_1|2]), (444,473,[0_1|3]), (445,446,[1_1|3]), (446,447,[2_1|3]), (447,448,[0_1|3]), (448,449,[4_1|3]), (449,176,[0_1|3]), (449,262,[0_1|3]), (449,213,[0_1|2]), (449,473,[0_1|3]), (450,451,[3_1|3]), (451,452,[4_1|3]), (452,453,[1_1|3]), (453,454,[0_1|3]), (454,176,[2_1|3]), (454,262,[2_1|3]), (455,456,[2_1|3]), (456,457,[1_1|3]), (457,458,[3_1|3]), (458,176,[5_1|3]), (458,262,[5_1|3]), (459,460,[0_1|3]), (460,461,[3_1|3]), (461,462,[1_1|3]), (462,176,[5_1|3]), (462,262,[5_1|3]), (463,464,[3_1|3]), (464,465,[1_1|3]), (465,466,[0_1|3]), (466,467,[3_1|3]), (467,176,[2_1|3]), (467,262,[2_1|3]), (468,469,[5_1|3]), (469,470,[1_1|3]), (470,471,[0_1|3]), (471,472,[2_1|3]), (472,176,[4_1|3]), (472,262,[4_1|3]), (473,474,[0_1|3]), (474,475,[4_1|3]), (475,476,[1_1|3]), (476,477,[3_1|3]), (477,70,[0_1|3]), (477,79,[0_1|3]), (477,83,[0_1|3]), (477,115,[0_1|3]), (477,120,[0_1|3]), (477,125,[0_1|3]), (477,179,[0_1|3]), (477,198,[0_1|3]), (477,213,[0_1|3]), (477,218,[0_1|3]), (477,223,[0_1|3]), (477,228,[0_1|3]), (477,232,[0_1|3]), (477,257,[0_1|3]), (477,265,[0_1|3]), (477,280,[0_1|3]), (477,141,[0_1|3]), (477,146,[0_1|3]), (477,285,[0_1|3]), (477,116,[0_1|3]), (477,214,[0_1|3]), (477,229,[0_1|3]), (477,354,[0_1|3]), (477,474,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)