/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 79 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: 2(2(x1)) -> 5(1(1(0(1(3(2(1(1(2(x1)))))))))) 2(2(2(x1))) -> 5(3(0(1(3(4(3(2(0(5(x1)))))))))) 2(2(4(x1))) -> 5(1(0(1(3(5(5(0(4(1(x1)))))))))) 4(5(2(x1))) -> 0(3(0(1(4(1(3(5(0(5(x1)))))))))) 4(5(2(x1))) -> 1(1(0(2(1(0(3(0(1(2(x1)))))))))) 4(5(2(x1))) -> 3(0(2(1(0(4(3(1(3(2(x1)))))))))) 2(2(2(2(x1)))) -> 4(1(2(0(4(4(4(3(5(5(x1)))))))))) 2(2(4(4(x1)))) -> 2(0(0(1(3(2(1(4(2(4(x1)))))))))) 2(2(4(5(x1)))) -> 4(3(3(0(4(0(2(5(1(2(x1)))))))))) 2(0(2(2(3(x1))))) -> 4(0(1(5(5(0(2(1(2(1(x1)))))))))) 2(2(4(5(4(x1))))) -> 5(0(2(4(0(1(3(5(3(4(x1)))))))))) 2(4(2(2(2(x1))))) -> 0(4(2(1(1(0(1(1(5(5(x1)))))))))) 4(2(2(5(3(x1))))) -> 3(3(4(0(5(5(5(0(0(1(x1)))))))))) 4(2(3(2(5(x1))))) -> 1(4(3(0(4(0(3(5(1(2(x1)))))))))) 5(2(5(2(4(x1))))) -> 2(5(5(1(1(3(5(0(3(1(x1)))))))))) 5(5(4(4(2(x1))))) -> 5(5(0(3(2(0(1(4(1(2(x1)))))))))) 1(4(4(2(4(4(x1)))))) -> 4(1(0(1(5(4(3(4(1(4(x1)))))))))) 2(2(2(3(4(1(x1)))))) -> 0(3(1(3(5(0(4(2(0(3(x1)))))))))) 2(2(2(5(0(0(x1)))))) -> 5(5(1(2(3(3(5(0(4(3(x1)))))))))) 3(2(2(4(5(4(x1)))))) -> 3(3(2(0(5(5(3(5(4(1(x1)))))))))) 3(5(1(4(5(2(x1)))))) -> 2(1(4(0(4(2(5(1(2(5(x1)))))))))) 5(1(0(3(2(2(x1)))))) -> 4(1(0(5(4(3(1(2(0(5(x1)))))))))) 5(2(4(1(2(2(x1)))))) -> 3(5(4(0(5(3(3(3(1(1(x1)))))))))) 5(3(2(2(4(1(x1)))))) -> 1(2(1(1(5(5(3(3(4(1(x1)))))))))) 0(0(5(4(5(3(4(x1))))))) -> 5(5(1(5(5(2(2(0(0(4(x1)))))))))) 2(2(5(4(5(4(4(x1))))))) -> 5(5(4(0(1(4(5(0(4(0(x1)))))))))) 2(4(2(2(2(1(4(x1))))))) -> 3(4(4(1(3(1(5(3(2(2(x1)))))))))) 5(1(0(2(2(2(0(x1))))))) -> 1(5(4(5(4(4(3(2(1(3(x1)))))))))) 5(4(0(0(2(2(3(x1))))))) -> 4(3(3(0(3(4(0(0(2(1(x1)))))))))) 5(4(5(2(2(2(3(x1))))))) -> 0(1(2(0(0(2(1(2(2(3(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(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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: 2(2(x1)) -> 5(1(1(0(1(3(2(1(1(2(x1)))))))))) 2(2(2(x1))) -> 5(3(0(1(3(4(3(2(0(5(x1)))))))))) 2(2(4(x1))) -> 5(1(0(1(3(5(5(0(4(1(x1)))))))))) 4(5(2(x1))) -> 0(3(0(1(4(1(3(5(0(5(x1)))))))))) 4(5(2(x1))) -> 1(1(0(2(1(0(3(0(1(2(x1)))))))))) 4(5(2(x1))) -> 3(0(2(1(0(4(3(1(3(2(x1)))))))))) 2(2(2(2(x1)))) -> 4(1(2(0(4(4(4(3(5(5(x1)))))))))) 2(2(4(4(x1)))) -> 2(0(0(1(3(2(1(4(2(4(x1)))))))))) 2(2(4(5(x1)))) -> 4(3(3(0(4(0(2(5(1(2(x1)))))))))) 2(0(2(2(3(x1))))) -> 4(0(1(5(5(0(2(1(2(1(x1)))))))))) 2(2(4(5(4(x1))))) -> 5(0(2(4(0(1(3(5(3(4(x1)))))))))) 2(4(2(2(2(x1))))) -> 0(4(2(1(1(0(1(1(5(5(x1)))))))))) 4(2(2(5(3(x1))))) -> 3(3(4(0(5(5(5(0(0(1(x1)))))))))) 4(2(3(2(5(x1))))) -> 1(4(3(0(4(0(3(5(1(2(x1)))))))))) 5(2(5(2(4(x1))))) -> 2(5(5(1(1(3(5(0(3(1(x1)))))))))) 5(5(4(4(2(x1))))) -> 5(5(0(3(2(0(1(4(1(2(x1)))))))))) 1(4(4(2(4(4(x1)))))) -> 4(1(0(1(5(4(3(4(1(4(x1)))))))))) 2(2(2(3(4(1(x1)))))) -> 0(3(1(3(5(0(4(2(0(3(x1)))))))))) 2(2(2(5(0(0(x1)))))) -> 5(5(1(2(3(3(5(0(4(3(x1)))))))))) 3(2(2(4(5(4(x1)))))) -> 3(3(2(0(5(5(3(5(4(1(x1)))))))))) 3(5(1(4(5(2(x1)))))) -> 2(1(4(0(4(2(5(1(2(5(x1)))))))))) 5(1(0(3(2(2(x1)))))) -> 4(1(0(5(4(3(1(2(0(5(x1)))))))))) 5(2(4(1(2(2(x1)))))) -> 3(5(4(0(5(3(3(3(1(1(x1)))))))))) 5(3(2(2(4(1(x1)))))) -> 1(2(1(1(5(5(3(3(4(1(x1)))))))))) 0(0(5(4(5(3(4(x1))))))) -> 5(5(1(5(5(2(2(0(0(4(x1)))))))))) 2(2(5(4(5(4(4(x1))))))) -> 5(5(4(0(1(4(5(0(4(0(x1)))))))))) 2(4(2(2(2(1(4(x1))))))) -> 3(4(4(1(3(1(5(3(2(2(x1)))))))))) 5(1(0(2(2(2(0(x1))))))) -> 1(5(4(5(4(4(3(2(1(3(x1)))))))))) 5(4(0(0(2(2(3(x1))))))) -> 4(3(3(0(3(4(0(0(2(1(x1)))))))))) 5(4(5(2(2(2(3(x1))))))) -> 0(1(2(0(0(2(1(2(2(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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: 2(2(x1)) -> 5(1(1(0(1(3(2(1(1(2(x1)))))))))) 2(2(2(x1))) -> 5(3(0(1(3(4(3(2(0(5(x1)))))))))) 2(2(4(x1))) -> 5(1(0(1(3(5(5(0(4(1(x1)))))))))) 4(5(2(x1))) -> 0(3(0(1(4(1(3(5(0(5(x1)))))))))) 4(5(2(x1))) -> 1(1(0(2(1(0(3(0(1(2(x1)))))))))) 4(5(2(x1))) -> 3(0(2(1(0(4(3(1(3(2(x1)))))))))) 2(2(2(2(x1)))) -> 4(1(2(0(4(4(4(3(5(5(x1)))))))))) 2(2(4(4(x1)))) -> 2(0(0(1(3(2(1(4(2(4(x1)))))))))) 2(2(4(5(x1)))) -> 4(3(3(0(4(0(2(5(1(2(x1)))))))))) 2(0(2(2(3(x1))))) -> 4(0(1(5(5(0(2(1(2(1(x1)))))))))) 2(2(4(5(4(x1))))) -> 5(0(2(4(0(1(3(5(3(4(x1)))))))))) 2(4(2(2(2(x1))))) -> 0(4(2(1(1(0(1(1(5(5(x1)))))))))) 4(2(2(5(3(x1))))) -> 3(3(4(0(5(5(5(0(0(1(x1)))))))))) 4(2(3(2(5(x1))))) -> 1(4(3(0(4(0(3(5(1(2(x1)))))))))) 5(2(5(2(4(x1))))) -> 2(5(5(1(1(3(5(0(3(1(x1)))))))))) 5(5(4(4(2(x1))))) -> 5(5(0(3(2(0(1(4(1(2(x1)))))))))) 1(4(4(2(4(4(x1)))))) -> 4(1(0(1(5(4(3(4(1(4(x1)))))))))) 2(2(2(3(4(1(x1)))))) -> 0(3(1(3(5(0(4(2(0(3(x1)))))))))) 2(2(2(5(0(0(x1)))))) -> 5(5(1(2(3(3(5(0(4(3(x1)))))))))) 3(2(2(4(5(4(x1)))))) -> 3(3(2(0(5(5(3(5(4(1(x1)))))))))) 3(5(1(4(5(2(x1)))))) -> 2(1(4(0(4(2(5(1(2(5(x1)))))))))) 5(1(0(3(2(2(x1)))))) -> 4(1(0(5(4(3(1(2(0(5(x1)))))))))) 5(2(4(1(2(2(x1)))))) -> 3(5(4(0(5(3(3(3(1(1(x1)))))))))) 5(3(2(2(4(1(x1)))))) -> 1(2(1(1(5(5(3(3(4(1(x1)))))))))) 0(0(5(4(5(3(4(x1))))))) -> 5(5(1(5(5(2(2(0(0(4(x1)))))))))) 2(2(5(4(5(4(4(x1))))))) -> 5(5(4(0(1(4(5(0(4(0(x1)))))))))) 2(4(2(2(2(1(4(x1))))))) -> 3(4(4(1(3(1(5(3(2(2(x1)))))))))) 5(1(0(2(2(2(0(x1))))))) -> 1(5(4(5(4(4(3(2(1(3(x1)))))))))) 5(4(0(0(2(2(3(x1))))))) -> 4(3(3(0(3(4(0(0(2(1(x1)))))))))) 5(4(5(2(2(2(3(x1))))))) -> 0(1(2(0(0(2(1(2(2(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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: 2(2(x1)) -> 5(1(1(0(1(3(2(1(1(2(x1)))))))))) 2(2(2(x1))) -> 5(3(0(1(3(4(3(2(0(5(x1)))))))))) 2(2(4(x1))) -> 5(1(0(1(3(5(5(0(4(1(x1)))))))))) 4(5(2(x1))) -> 0(3(0(1(4(1(3(5(0(5(x1)))))))))) 4(5(2(x1))) -> 1(1(0(2(1(0(3(0(1(2(x1)))))))))) 4(5(2(x1))) -> 3(0(2(1(0(4(3(1(3(2(x1)))))))))) 2(2(2(2(x1)))) -> 4(1(2(0(4(4(4(3(5(5(x1)))))))))) 2(2(4(4(x1)))) -> 2(0(0(1(3(2(1(4(2(4(x1)))))))))) 2(2(4(5(x1)))) -> 4(3(3(0(4(0(2(5(1(2(x1)))))))))) 2(0(2(2(3(x1))))) -> 4(0(1(5(5(0(2(1(2(1(x1)))))))))) 2(2(4(5(4(x1))))) -> 5(0(2(4(0(1(3(5(3(4(x1)))))))))) 2(4(2(2(2(x1))))) -> 0(4(2(1(1(0(1(1(5(5(x1)))))))))) 4(2(2(5(3(x1))))) -> 3(3(4(0(5(5(5(0(0(1(x1)))))))))) 4(2(3(2(5(x1))))) -> 1(4(3(0(4(0(3(5(1(2(x1)))))))))) 5(2(5(2(4(x1))))) -> 2(5(5(1(1(3(5(0(3(1(x1)))))))))) 5(5(4(4(2(x1))))) -> 5(5(0(3(2(0(1(4(1(2(x1)))))))))) 1(4(4(2(4(4(x1)))))) -> 4(1(0(1(5(4(3(4(1(4(x1)))))))))) 2(2(2(3(4(1(x1)))))) -> 0(3(1(3(5(0(4(2(0(3(x1)))))))))) 2(2(2(5(0(0(x1)))))) -> 5(5(1(2(3(3(5(0(4(3(x1)))))))))) 3(2(2(4(5(4(x1)))))) -> 3(3(2(0(5(5(3(5(4(1(x1)))))))))) 3(5(1(4(5(2(x1)))))) -> 2(1(4(0(4(2(5(1(2(5(x1)))))))))) 5(1(0(3(2(2(x1)))))) -> 4(1(0(5(4(3(1(2(0(5(x1)))))))))) 5(2(4(1(2(2(x1)))))) -> 3(5(4(0(5(3(3(3(1(1(x1)))))))))) 5(3(2(2(4(1(x1)))))) -> 1(2(1(1(5(5(3(3(4(1(x1)))))))))) 0(0(5(4(5(3(4(x1))))))) -> 5(5(1(5(5(2(2(0(0(4(x1)))))))))) 2(2(5(4(5(4(4(x1))))))) -> 5(5(4(0(1(4(5(0(4(0(x1)))))))))) 2(4(2(2(2(1(4(x1))))))) -> 3(4(4(1(3(1(5(3(2(2(x1)))))))))) 5(1(0(2(2(2(0(x1))))))) -> 1(5(4(5(4(4(3(2(1(3(x1)))))))))) 5(4(0(0(2(2(3(x1))))))) -> 4(3(3(0(3(4(0(0(2(1(x1)))))))))) 5(4(5(2(2(2(3(x1))))))) -> 0(1(2(0(0(2(1(2(2(3(x1)))))))))) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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. "[151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 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, 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, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486] {(151,152,[2_1|0, 4_1|0, 5_1|0, 1_1|0, 3_1|0, 0_1|0, encArg_1|0, encode_2_1|0, encode_5_1|0, encode_1_1|0, encode_0_1|0, encode_3_1|0, encode_4_1|0]), (151,153,[2_1|1, 4_1|1, 5_1|1, 1_1|1, 3_1|1, 0_1|1]), (151,154,[5_1|2]), (151,163,[5_1|2]), (151,172,[4_1|2]), (151,181,[0_1|2]), (151,190,[5_1|2]), (151,199,[5_1|2]), (151,208,[2_1|2]), (151,217,[4_1|2]), (151,226,[5_1|2]), (151,235,[5_1|2]), (151,244,[4_1|2]), (151,253,[0_1|2]), (151,262,[3_1|2]), (151,271,[0_1|2]), (151,280,[1_1|2]), (151,289,[3_1|2]), (151,298,[3_1|2]), (151,307,[1_1|2]), (151,316,[2_1|2]), (151,325,[3_1|2]), (151,334,[5_1|2]), (151,343,[4_1|2]), (151,352,[1_1|2]), (151,361,[1_1|2]), (151,370,[4_1|2]), (151,379,[0_1|2]), (151,388,[4_1|2]), (151,397,[3_1|2]), (151,406,[2_1|2]), (151,415,[5_1|2]), (152,152,[cons_2_1|0, cons_4_1|0, cons_5_1|0, cons_1_1|0, cons_3_1|0, cons_0_1|0]), (153,152,[encArg_1|1]), (153,153,[2_1|1, 4_1|1, 5_1|1, 1_1|1, 3_1|1, 0_1|1]), (153,154,[5_1|2]), (153,163,[5_1|2]), (153,172,[4_1|2]), (153,181,[0_1|2]), (153,190,[5_1|2]), (153,199,[5_1|2]), (153,208,[2_1|2]), (153,217,[4_1|2]), (153,226,[5_1|2]), (153,235,[5_1|2]), (153,244,[4_1|2]), (153,253,[0_1|2]), (153,262,[3_1|2]), (153,271,[0_1|2]), (153,280,[1_1|2]), (153,289,[3_1|2]), (153,298,[3_1|2]), (153,307,[1_1|2]), (153,316,[2_1|2]), 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(286,287,[0_1|2]), (287,288,[1_1|2]), (288,153,[2_1|2]), (288,208,[2_1|2]), (288,316,[2_1|2]), (288,406,[2_1|2]), (288,154,[5_1|2]), (288,163,[5_1|2]), (288,172,[4_1|2]), (288,181,[0_1|2]), (288,190,[5_1|2]), (288,199,[5_1|2]), (288,217,[4_1|2]), (288,226,[5_1|2]), (288,235,[5_1|2]), (288,244,[4_1|2]), (288,253,[0_1|2]), (288,262,[3_1|2]), (288,424,[5_1|3]), (289,290,[0_1|2]), (290,291,[2_1|2]), (291,292,[1_1|2]), (292,293,[0_1|2]), (293,294,[4_1|2]), (294,295,[3_1|2]), (295,296,[1_1|2]), (296,297,[3_1|2]), (296,397,[3_1|2]), (297,153,[2_1|2]), (297,208,[2_1|2]), (297,316,[2_1|2]), (297,406,[2_1|2]), (297,154,[5_1|2]), (297,163,[5_1|2]), (297,172,[4_1|2]), (297,181,[0_1|2]), (297,190,[5_1|2]), (297,199,[5_1|2]), (297,217,[4_1|2]), (297,226,[5_1|2]), (297,235,[5_1|2]), (297,244,[4_1|2]), (297,253,[0_1|2]), (297,262,[3_1|2]), (297,424,[5_1|3]), (298,299,[3_1|2]), (299,300,[4_1|2]), (300,301,[0_1|2]), (301,302,[5_1|2]), (302,303,[5_1|2]), (303,304,[5_1|2]), (304,305,[0_1|2]), 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(378,388,[4_1|2]), (379,380,[1_1|2]), (380,381,[2_1|2]), (381,382,[0_1|2]), (382,383,[0_1|2]), (383,384,[2_1|2]), (384,385,[1_1|2]), (385,386,[2_1|2]), (385,469,[5_1|3]), (385,460,[5_1|3]), (386,387,[2_1|2]), (386,424,[5_1|3]), (387,153,[3_1|2]), (387,262,[3_1|2]), (387,289,[3_1|2]), (387,298,[3_1|2]), (387,325,[3_1|2]), (387,397,[3_1|2]), (387,406,[2_1|2]), (388,389,[1_1|2]), (389,390,[0_1|2]), (390,391,[1_1|2]), (391,392,[5_1|2]), (392,393,[4_1|2]), (393,394,[3_1|2]), (394,395,[4_1|2]), (395,396,[1_1|2]), (395,388,[4_1|2]), (396,153,[4_1|2]), (396,172,[4_1|2]), (396,217,[4_1|2]), (396,244,[4_1|2]), (396,343,[4_1|2]), (396,370,[4_1|2]), (396,388,[4_1|2]), (396,271,[0_1|2]), (396,280,[1_1|2]), (396,289,[3_1|2]), (396,298,[3_1|2]), (396,307,[1_1|2]), (397,398,[3_1|2]), (398,399,[2_1|2]), (399,400,[0_1|2]), (400,401,[5_1|2]), (401,402,[5_1|2]), (402,403,[3_1|2]), (403,404,[5_1|2]), (404,405,[4_1|2]), (405,153,[1_1|2]), (405,172,[1_1|2]), (405,217,[1_1|2]), (405,244,[1_1|2]), (405,343,[1_1|2]), (405,370,[1_1|2]), (405,388,[1_1|2, 4_1|2]), (406,407,[1_1|2]), (407,408,[4_1|2]), (408,409,[0_1|2]), (409,410,[4_1|2]), (410,411,[2_1|2]), (411,412,[5_1|2]), (412,413,[1_1|2]), (413,414,[2_1|2]), (413,424,[5_1|3]), (414,153,[5_1|2]), (414,208,[5_1|2]), (414,316,[5_1|2, 2_1|2]), (414,406,[5_1|2]), (414,325,[3_1|2]), (414,334,[5_1|2]), (414,343,[4_1|2]), (414,352,[1_1|2]), (414,361,[1_1|2]), (414,370,[4_1|2]), (414,379,[0_1|2]), (415,416,[5_1|2]), (416,417,[1_1|2]), (417,418,[5_1|2]), (418,419,[5_1|2]), (419,420,[2_1|2]), (419,478,[5_1|3]), (420,421,[2_1|2]), (421,422,[0_1|2]), (422,423,[0_1|2]), (423,153,[4_1|2]), (423,172,[4_1|2]), (423,217,[4_1|2]), (423,244,[4_1|2]), (423,343,[4_1|2]), (423,370,[4_1|2]), (423,388,[4_1|2]), (423,263,[4_1|2]), (423,271,[0_1|2]), (423,280,[1_1|2]), (423,289,[3_1|2]), (423,298,[3_1|2]), (423,307,[1_1|2]), (424,425,[1_1|3]), (425,426,[1_1|3]), (426,427,[0_1|3]), (427,428,[1_1|3]), (428,429,[3_1|3]), (429,430,[2_1|3]), (430,431,[1_1|3]), (431,432,[1_1|3]), (432,208,[2_1|3]), (432,316,[2_1|3]), (432,406,[2_1|3]), (433,434,[2_1|3]), (434,435,[1_1|3]), (435,436,[1_1|3]), (436,437,[5_1|3]), (437,438,[5_1|3]), (438,439,[3_1|3]), (439,440,[3_1|3]), (440,441,[4_1|3]), (441,173,[1_1|3]), (441,344,[1_1|3]), (441,389,[1_1|3]), (442,443,[1_1|3]), (443,444,[1_1|3]), (444,445,[0_1|3]), (445,446,[1_1|3]), (446,447,[3_1|3]), (447,448,[2_1|3]), (448,449,[1_1|3]), (449,450,[1_1|3]), (450,153,[2_1|3]), (450,172,[2_1|3, 4_1|2]), (450,217,[2_1|3, 4_1|2]), (450,244,[2_1|3, 4_1|2]), (450,343,[2_1|3]), (450,370,[2_1|3]), (450,388,[2_1|3]), (450,308,[2_1|3]), (450,408,[2_1|3]), (450,208,[2_1|3, 2_1|2]), (450,154,[5_1|2]), (450,163,[5_1|2]), (450,181,[0_1|2]), (450,190,[5_1|2]), (450,199,[5_1|2]), (450,226,[5_1|2]), (450,235,[5_1|2]), (450,253,[0_1|2]), (450,262,[3_1|2]), (450,424,[5_1|3]), (451,452,[1_1|3]), (452,453,[0_1|3]), (453,454,[1_1|3]), (454,455,[3_1|3]), (455,456,[5_1|3]), (456,457,[5_1|3]), (457,458,[0_1|3]), (458,459,[4_1|3]), (459,172,[1_1|3]), (459,217,[1_1|3]), (459,244,[1_1|3]), (459,343,[1_1|3]), (459,370,[1_1|3]), (459,388,[1_1|3]), (460,461,[3_1|3]), (461,462,[0_1|3]), (462,463,[1_1|3]), (463,464,[3_1|3]), (464,465,[4_1|3]), (465,466,[3_1|3]), (466,467,[2_1|3]), (467,468,[0_1|3]), (468,208,[5_1|3]), (468,316,[5_1|3]), (468,406,[5_1|3]), (469,470,[1_1|3]), (470,471,[1_1|3]), (471,472,[0_1|3]), (472,473,[1_1|3]), (473,474,[3_1|3]), (474,475,[2_1|3]), (475,476,[1_1|3]), (476,477,[1_1|3]), (477,387,[2_1|3]), (477,424,[5_1|3]), (478,479,[1_1|3]), (479,480,[1_1|3]), (480,481,[0_1|3]), (481,482,[1_1|3]), (482,483,[3_1|3]), (483,484,[2_1|3]), (484,485,[1_1|3]), (485,486,[1_1|3]), (486,421,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)