/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 41 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 162 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(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(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(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 4. The certificate found is represented by the following graph. 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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, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 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(535,164,[3_1|3]), (535,192,[3_1|3]), (535,261,[3_1|3]), (535,92,[3_1|3]), (535,101,[3_1|3]), (535,130,[3_1|3]), (536,537,[5_1|3]), (537,538,[0_1|3]), (538,539,[4_1|3]), (539,540,[4_1|3]), (540,68,[2_1|3]), (540,72,[2_1|3]), (540,87,[2_1|3]), (540,95,[2_1|3]), (540,109,[2_1|3]), (540,114,[2_1|3]), (540,119,[2_1|3]), (540,134,[2_1|3]), (540,139,[2_1|3]), (540,148,[2_1|3]), (540,159,[2_1|3]), (540,164,[2_1|3]), (540,192,[2_1|3]), (540,261,[2_1|3]), (540,92,[2_1|3]), (540,101,[2_1|3]), (540,130,[2_1|3]), (541,542,[4_1|3]), (542,543,[1_1|3]), (543,544,[0_1|3]), (544,545,[4_1|3]), (545,68,[5_1|3]), (545,72,[5_1|3]), (545,87,[5_1|3]), (545,95,[5_1|3]), (545,109,[5_1|3]), (545,114,[5_1|3]), (545,119,[5_1|3]), (545,134,[5_1|3]), (545,139,[5_1|3]), (545,148,[5_1|3]), (545,159,[5_1|3]), (545,164,[5_1|3]), (545,192,[5_1|3]), (545,261,[5_1|3]), (545,92,[5_1|3]), (545,101,[5_1|3]), (545,130,[5_1|3]), (546,547,[5_1|3]), (547,548,[4_1|3]), (548,549,[0_1|3]), (549,550,[2_1|3]), (550,83,[3_1|3]), (550,199,[3_1|3]), (550,239,[3_1|3]), (551,552,[5_1|3]), (552,553,[2_1|3]), (553,554,[1_1|3]), (554,555,[3_1|3]), (555,83,[0_1|3]), (555,199,[0_1|3]), (555,239,[0_1|3]), (556,557,[1_1|3]), (557,558,[5_1|3]), (558,91,[4_1|3]), (558,100,[4_1|3]), (558,124,[4_1|3]), (558,129,[4_1|3]), (558,179,[4_1|3]), (558,197,[4_1|3]), (558,202,[4_1|3]), (558,212,[4_1|3]), (558,218,[4_1|3]), (558,222,[4_1|3]), (558,237,[4_1|3]), (558,247,[4_1|3]), (558,265,[4_1|3]), (558,269,[4_1|3]), (558,277,[4_1|3]), (558,282,[4_1|3]), (558,297,[4_1|3]), (558,303,[4_1|3]), (558,307,[4_1|3]), (558,213,[4_1|3]), (558,223,[4_1|3]), (558,283,[4_1|3]), (558,145,[4_1|3]), (558,298,[4_1|3]), (558,308,[4_1|3]), (559,560,[4_1|3]), (560,561,[1_1|3]), (561,91,[1_1|3]), (561,100,[1_1|3]), (561,124,[1_1|3]), (561,129,[1_1|3]), (561,179,[1_1|3]), (561,197,[1_1|3]), (561,202,[1_1|3]), (561,212,[1_1|3]), (561,218,[1_1|3]), (561,222,[1_1|3]), (561,237,[1_1|3]), (561,247,[1_1|3]), (561,265,[1_1|3]), (561,269,[1_1|3]), (561,277,[1_1|3]), (561,282,[1_1|3]), (561,297,[1_1|3]), (561,303,[1_1|3]), (561,307,[1_1|3]), (561,213,[1_1|3]), (561,223,[1_1|3]), (561,283,[1_1|3]), (561,145,[1_1|3]), (561,298,[1_1|3]), (561,308,[1_1|3]), (562,563,[5_1|3]), (563,564,[3_1|3]), (564,565,[4_1|3]), (565,91,[1_1|3]), (565,100,[1_1|3]), (565,124,[1_1|3]), (565,129,[1_1|3]), (565,179,[1_1|3]), (565,197,[1_1|3]), (565,202,[1_1|3]), (565,212,[1_1|3]), (565,218,[1_1|3]), (565,222,[1_1|3]), (565,237,[1_1|3]), (565,247,[1_1|3]), (565,265,[1_1|3]), (565,269,[1_1|3]), (565,277,[1_1|3]), (565,282,[1_1|3]), (565,297,[1_1|3]), (565,303,[1_1|3]), (565,307,[1_1|3]), (565,213,[1_1|3]), (565,223,[1_1|3]), (565,283,[1_1|3]), (565,145,[1_1|3]), (565,298,[1_1|3]), (565,308,[1_1|3]), (566,567,[1_1|3]), (567,568,[4_1|3]), (568,569,[5_1|3]), (569,570,[4_1|3]), (570,91,[4_1|3]), (570,100,[4_1|3]), (570,124,[4_1|3]), (570,129,[4_1|3]), (570,179,[4_1|3]), (570,197,[4_1|3]), (570,202,[4_1|3]), (570,212,[4_1|3]), (570,218,[4_1|3]), (570,222,[4_1|3]), (570,237,[4_1|3]), (570,247,[4_1|3]), (570,265,[4_1|3]), (570,269,[4_1|3]), (570,277,[4_1|3]), (570,282,[4_1|3]), (570,297,[4_1|3]), (570,303,[4_1|3]), (570,307,[4_1|3]), (570,213,[4_1|3]), (570,223,[4_1|3]), (570,283,[4_1|3]), (570,145,[4_1|3]), (570,298,[4_1|3]), (570,308,[4_1|3]), (571,572,[5_1|3]), (572,573,[2_1|3]), (573,574,[3_1|3]), (574,575,[1_1|3]), (575,91,[1_1|3]), (575,100,[1_1|3]), (575,124,[1_1|3]), (575,129,[1_1|3]), (575,179,[1_1|3]), (575,197,[1_1|3]), (575,202,[1_1|3]), (575,212,[1_1|3]), (575,218,[1_1|3]), (575,222,[1_1|3]), (575,237,[1_1|3]), (575,247,[1_1|3]), (575,265,[1_1|3]), (575,269,[1_1|3]), (575,277,[1_1|3]), (575,282,[1_1|3]), (575,297,[1_1|3]), (575,303,[1_1|3]), (575,307,[1_1|3]), (575,213,[1_1|3]), (575,223,[1_1|3]), (575,283,[1_1|3]), (575,145,[1_1|3]), (575,298,[1_1|3]), (575,308,[1_1|3]), (576,577,[1_1|3]), (577,578,[2_1|3]), (578,579,[1_1|3]), (579,580,[5_1|3]), (580,91,[4_1|3]), (580,100,[4_1|3]), (580,124,[4_1|3]), (580,129,[4_1|3]), (580,179,[4_1|3]), (580,197,[4_1|3]), (580,202,[4_1|3]), (580,212,[4_1|3]), (580,218,[4_1|3]), (580,222,[4_1|3]), (580,237,[4_1|3]), (580,247,[4_1|3]), (580,265,[4_1|3]), (580,269,[4_1|3]), (580,277,[4_1|3]), (580,282,[4_1|3]), (580,297,[4_1|3]), (580,303,[4_1|3]), (580,307,[4_1|3]), (580,213,[4_1|3]), (580,223,[4_1|3]), (580,283,[4_1|3]), (580,145,[4_1|3]), (580,298,[4_1|3]), (580,308,[4_1|3]), (581,582,[4_1|3]), (582,583,[1_1|3]), (583,584,[5_1|3]), (583,297,[1_1|3]), (583,300,[5_1|3]), (583,303,[1_1|3]), (583,307,[1_1|3]), (583,312,[3_1|3]), (583,317,[4_1|3]), (584,144,[1_1|3]), (585,586,[5_1|3]), (586,587,[4_1|3]), (587,91,[1_1|3]), (587,100,[1_1|3]), (587,124,[1_1|3]), (587,129,[1_1|3]), (587,179,[1_1|3]), (587,197,[1_1|3]), (587,202,[1_1|3]), (587,212,[1_1|3]), (587,218,[1_1|3]), (587,222,[1_1|3]), (587,237,[1_1|3]), (587,247,[1_1|3]), (587,265,[1_1|3]), (587,269,[1_1|3]), (587,277,[1_1|3]), (587,282,[1_1|3]), (587,297,[1_1|3]), (587,303,[1_1|3]), (587,307,[1_1|3]), (587,160,[1_1|3]), (587,262,[1_1|3]), (588,589,[5_1|3]), (589,590,[4_1|3]), (590,591,[0_1|3]), (590,443,[0_1|3]), (590,447,[1_1|3]), (590,451,[0_1|3]), (590,475,[0_1|3]), (590,480,[0_1|3]), (590,485,[1_1|3]), (590,489,[5_1|3]), (590,494,[0_1|3]), (590,621,[1_1|4]), (590,625,[5_1|4]), (591,91,[1_1|3]), (591,100,[1_1|3]), (591,124,[1_1|3]), (591,129,[1_1|3]), (591,179,[1_1|3]), (591,197,[1_1|3]), (591,202,[1_1|3]), (591,212,[1_1|3]), (591,218,[1_1|3]), (591,222,[1_1|3]), (591,237,[1_1|3]), (591,247,[1_1|3]), (591,265,[1_1|3]), (591,269,[1_1|3]), (591,277,[1_1|3]), (591,282,[1_1|3]), (591,297,[1_1|3]), (591,303,[1_1|3]), (591,307,[1_1|3]), (591,160,[1_1|3]), (591,262,[1_1|3]), (592,593,[0_1|3]), (593,594,[2_1|3]), (594,595,[1_1|3]), (595,91,[2_1|3]), (595,100,[2_1|3]), (595,124,[2_1|3]), (595,129,[2_1|3]), (595,179,[2_1|3]), (595,197,[2_1|3]), (595,202,[2_1|3]), (595,212,[2_1|3]), (595,218,[2_1|3]), (595,222,[2_1|3]), (595,237,[2_1|3]), (595,247,[2_1|3]), (595,265,[2_1|3]), (595,269,[2_1|3]), (595,277,[2_1|3]), (595,282,[2_1|3]), (595,297,[2_1|3]), (595,303,[2_1|3]), (595,307,[2_1|3]), (595,160,[2_1|3]), (595,262,[2_1|3]), (596,597,[1_1|3]), (597,598,[4_1|3]), (598,599,[5_1|3]), (599,600,[4_1|3]), (600,91,[4_1|3]), (600,100,[4_1|3]), (600,124,[4_1|3]), (600,129,[4_1|3]), (600,179,[4_1|3]), (600,197,[4_1|3]), (600,202,[4_1|3]), (600,212,[4_1|3]), (600,218,[4_1|3]), (600,222,[4_1|3]), (600,237,[4_1|3]), (600,247,[4_1|3]), (600,265,[4_1|3]), (600,269,[4_1|3]), (600,277,[4_1|3]), (600,282,[4_1|3]), (600,297,[4_1|3]), (600,303,[4_1|3]), (600,307,[4_1|3]), (600,160,[4_1|3]), (600,262,[4_1|3]), (601,602,[5_1|3]), (602,603,[4_1|3]), (603,604,[1_1|3]), (604,605,[4_1|3]), (605,91,[4_1|3]), (605,100,[4_1|3]), (605,124,[4_1|3]), (605,129,[4_1|3]), (605,179,[4_1|3]), (605,197,[4_1|3]), (605,202,[4_1|3]), (605,212,[4_1|3]), (605,218,[4_1|3]), (605,222,[4_1|3]), (605,237,[4_1|3]), (605,247,[4_1|3]), (605,265,[4_1|3]), (605,269,[4_1|3]), (605,277,[4_1|3]), (605,282,[4_1|3]), (605,297,[4_1|3]), (605,303,[4_1|3]), (605,307,[4_1|3]), (605,160,[4_1|3]), (605,262,[4_1|3]), (606,607,[0_1|3]), (607,608,[4_1|3]), (608,609,[3_1|3]), (609,610,[0_1|3]), (609,443,[0_1|3]), (609,447,[1_1|3]), (609,451,[0_1|3]), (609,475,[0_1|3]), (609,480,[0_1|3]), (609,485,[1_1|3]), (609,489,[5_1|3]), (609,494,[0_1|3]), (609,621,[1_1|4]), (609,625,[5_1|4]), (610,91,[1_1|3]), (610,100,[1_1|3]), (610,124,[1_1|3]), (610,129,[1_1|3]), (610,179,[1_1|3]), (610,197,[1_1|3]), (610,202,[1_1|3]), (610,212,[1_1|3]), (610,218,[1_1|3]), (610,222,[1_1|3]), (610,237,[1_1|3]), (610,247,[1_1|3]), (610,265,[1_1|3]), (610,269,[1_1|3]), (610,277,[1_1|3]), (610,282,[1_1|3]), (610,297,[1_1|3]), (610,303,[1_1|3]), (610,307,[1_1|3]), (610,160,[1_1|3]), (610,262,[1_1|3]), (611,612,[0_1|3]), (612,613,[0_1|3]), (613,614,[4_1|3]), (614,615,[1_1|3]), (615,92,[3_1|3]), (615,101,[3_1|3]), (615,130,[3_1|3]), (616,617,[4_1|3]), (617,618,[5_1|3]), (618,619,[4_1|3]), (619,620,[0_1|3]), (620,199,[0_1|3]), (620,239,[0_1|3]), (621,622,[0_1|4]), (622,623,[3_1|4]), (623,624,[4_1|4]), (624,298,[1_1|4]), (624,308,[1_1|4]), (625,626,[0_1|4]), (626,627,[3_1|4]), (627,628,[4_1|4]), (628,629,[1_1|4]), (629,298,[1_1|4]), (629,308,[1_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)