/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 44 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 65 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(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(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(cons_2(x_1)) -> 2(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)) 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_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(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)) 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_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_2(x_1)) -> 2(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)) 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_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(2(x1)))))))))) encArg(cons_2(x_1)) -> 2(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)) 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_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(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. "[148, 149, 150, 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, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609] {(148,149,[2_1|0, 1_1|0, 4_1|0, 5_1|0, 3_1|0, 0_1|0, encArg_1|0, encode_2_1|0, encode_5_1|0, encode_4_1|0, encode_0_1|0, encode_1_1|0, encode_3_1|0]), (148,150,[2_1|1, 1_1|1, 4_1|1, 5_1|1, 3_1|1, 0_1|1]), (148,151,[2_1|2]), (148,160,[2_1|2]), (148,169,[2_1|2]), (148,178,[2_1|2]), (148,187,[2_1|2]), (148,196,[2_1|2]), (148,205,[2_1|2]), (148,214,[2_1|2]), (148,223,[2_1|2]), (148,232,[1_1|2]), (148,241,[1_1|2]), (148,250,[0_1|2]), (148,259,[1_1|2]), (148,268,[4_1|2]), (148,277,[4_1|2]), (148,286,[4_1|2]), (148,295,[5_1|2]), (148,304,[5_1|2]), (148,313,[3_1|2]), (148,322,[5_1|2]), (148,331,[3_1|2]), (148,340,[2_1|2]), (148,349,[2_1|2]), (148,358,[5_1|2]), (148,367,[5_1|2]), 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(384,448,[2_1|3]), (384,457,[2_1|3]), (384,466,[2_1|3]), (385,386,[4_1|2]), (386,387,[0_1|2]), (387,388,[3_1|2]), (388,389,[4_1|2]), (389,390,[5_1|2]), (390,391,[2_1|2]), (391,392,[0_1|2]), (392,393,[3_1|2]), (393,150,[3_1|2]), (393,295,[3_1|2]), (393,304,[3_1|2]), (393,322,[3_1|2]), (393,358,[3_1|2]), (393,367,[3_1|2]), (393,394,[3_1|2, 5_1|2]), (393,305,[3_1|2]), (393,359,[3_1|2]), (393,368,[3_1|2]), (393,376,[3_1|2]), (393,385,[3_1|2]), (393,592,[3_1|3]), (394,395,[3_1|2]), (395,396,[2_1|2]), (396,397,[4_1|2]), (397,398,[0_1|2]), (398,399,[2_1|2]), (399,400,[4_1|2]), (400,401,[4_1|2]), (401,402,[0_1|2]), (402,150,[5_1|2]), (402,295,[5_1|2]), (402,304,[5_1|2]), (402,322,[5_1|2]), (402,358,[5_1|2]), (402,367,[5_1|2]), (402,394,[5_1|2]), (402,305,[5_1|2]), (402,359,[5_1|2]), (402,368,[5_1|2]), (402,313,[3_1|2]), (402,331,[3_1|2]), (402,340,[2_1|2]), (402,349,[2_1|2]), (403,404,[2_1|2]), (404,405,[1_1|2]), (405,406,[5_1|2]), (406,407,[2_1|2]), (407,408,[0_1|2]), (408,409,[1_1|2]), (409,410,[2_1|2]), (410,411,[1_1|2]), (411,150,[2_1|2]), (411,151,[2_1|2]), (411,160,[2_1|2]), (411,169,[2_1|2]), (411,178,[2_1|2]), (411,187,[2_1|2]), (411,196,[2_1|2]), (411,205,[2_1|2]), (411,214,[2_1|2]), (411,223,[2_1|2]), (411,340,[2_1|2]), (411,349,[2_1|2]), (411,314,[2_1|2]), (411,448,[2_1|3]), (411,457,[2_1|3]), (411,466,[2_1|3]), (412,413,[2_1|3]), (413,414,[2_1|3]), (414,415,[0_1|3]), (415,416,[5_1|3]), (416,417,[1_1|3]), (417,418,[3_1|3]), (418,419,[4_1|3]), (419,420,[0_1|3]), (420,242,[4_1|3]), (421,422,[4_1|3]), (422,423,[0_1|3]), (423,424,[0_1|3]), (424,425,[4_1|3]), (425,426,[1_1|3]), (426,427,[0_1|3]), (427,428,[0_1|3]), (428,429,[1_1|3]), (429,194,[3_1|3]), (430,431,[4_1|3]), (431,432,[3_1|3]), (432,433,[0_1|3]), (433,434,[2_1|3]), (434,435,[2_1|3]), (435,436,[2_1|3]), (436,437,[1_1|3]), (437,438,[4_1|3]), (438,194,[3_1|3]), (439,440,[4_1|3]), (440,441,[4_1|3]), (441,442,[4_1|3]), (442,443,[4_1|3]), (443,444,[0_1|3]), (444,445,[4_1|3]), (445,446,[0_1|3]), (446,447,[1_1|3]), (447,323,[1_1|3]), (448,449,[4_1|3]), (449,450,[0_1|3]), (450,451,[0_1|3]), (451,452,[4_1|3]), (452,453,[1_1|3]), (453,454,[0_1|3]), (454,455,[0_1|3]), (455,456,[1_1|3]), (456,295,[3_1|3]), (456,304,[3_1|3]), (456,322,[3_1|3]), (456,358,[3_1|3]), (456,367,[3_1|3]), (456,394,[3_1|3]), (456,305,[3_1|3]), (456,359,[3_1|3]), (456,368,[3_1|3]), (456,592,[3_1|3]), (457,458,[4_1|3]), (458,459,[3_1|3]), (459,460,[0_1|3]), (460,461,[2_1|3]), (461,462,[2_1|3]), (462,463,[2_1|3]), (463,464,[1_1|3]), (464,465,[4_1|3]), (465,295,[3_1|3]), (465,304,[3_1|3]), (465,322,[3_1|3]), (465,358,[3_1|3]), (465,367,[3_1|3]), (465,394,[3_1|3]), (465,305,[3_1|3]), (465,359,[3_1|3]), (465,368,[3_1|3]), (465,592,[3_1|3]), (466,467,[0_1|3]), (467,468,[3_1|3]), (468,469,[0_1|3]), (469,470,[4_1|3]), (470,471,[0_1|3]), (471,472,[3_1|3]), (472,473,[3_1|3]), (473,474,[3_1|3]), (474,305,[4_1|3]), (474,359,[4_1|3]), (474,368,[4_1|3]), (475,476,[4_1|3]), (476,477,[0_1|3]), (477,478,[0_1|3]), (478,479,[4_1|3]), (479,480,[1_1|3]), (480,481,[0_1|3]), (481,482,[0_1|3]), (482,483,[1_1|3]), (483,150,[3_1|3]), (483,295,[3_1|3]), (483,304,[3_1|3]), (483,322,[3_1|3]), (483,358,[3_1|3]), (483,367,[3_1|3]), (483,394,[3_1|3, 5_1|2]), (483,376,[3_1|2]), (483,385,[3_1|2]), (483,592,[3_1|3]), (484,485,[4_1|3]), (485,486,[3_1|3]), (486,487,[0_1|3]), (487,488,[2_1|3]), (488,489,[2_1|3]), (489,490,[2_1|3]), (490,491,[1_1|3]), (491,492,[4_1|3]), (492,150,[3_1|3]), (492,295,[3_1|3]), (492,304,[3_1|3]), (492,322,[3_1|3]), (492,358,[3_1|3]), (492,367,[3_1|3]), (492,394,[3_1|3, 5_1|2]), (492,376,[3_1|2]), (492,385,[3_1|2]), (492,592,[3_1|3]), (493,494,[0_1|3]), (494,495,[3_1|3]), (495,496,[0_1|3]), (496,497,[4_1|3]), (497,498,[0_1|3]), (498,499,[3_1|3]), (499,500,[3_1|3]), (500,501,[3_1|3]), (501,295,[4_1|3]), (501,304,[4_1|3]), (501,322,[4_1|3]), (501,358,[4_1|3]), (501,367,[4_1|3]), (501,394,[4_1|3]), (501,305,[4_1|3]), (501,359,[4_1|3]), (501,368,[4_1|3]), (501,601,[4_1|3]), (502,503,[4_1|3]), (503,504,[0_1|3]), (504,505,[0_1|3]), (505,506,[1_1|3]), (506,507,[5_1|3]), (507,508,[1_1|3]), (508,509,[2_1|3]), (509,510,[2_1|3]), (510,295,[1_1|3]), (510,304,[1_1|3]), (510,322,[1_1|3]), (510,358,[1_1|3]), (510,367,[1_1|3]), (510,394,[1_1|3]), (511,512,[4_1|3]), (512,513,[0_1|3]), (513,514,[0_1|3]), (514,515,[4_1|3]), (515,516,[1_1|3]), (516,517,[0_1|3]), (517,518,[0_1|3]), (518,519,[1_1|3]), (519,299,[3_1|3]), (520,521,[4_1|3]), (521,522,[3_1|3]), (522,523,[0_1|3]), (523,524,[2_1|3]), (524,525,[2_1|3]), (525,526,[2_1|3]), (526,527,[1_1|3]), (527,528,[4_1|3]), (528,299,[3_1|3]), (529,530,[4_1|3]), (530,531,[0_1|3]), (531,532,[0_1|3]), (532,533,[4_1|3]), (533,534,[1_1|3]), (534,535,[0_1|3]), (535,536,[0_1|3]), (536,537,[1_1|3]), (537,335,[3_1|3]), (538,539,[4_1|3]), (539,540,[3_1|3]), (540,541,[0_1|3]), (541,542,[2_1|3]), (542,543,[2_1|3]), (543,544,[2_1|3]), (544,545,[1_1|3]), (545,546,[4_1|3]), (546,335,[3_1|3]), (547,548,[4_1|3]), (548,549,[0_1|3]), (549,550,[0_1|3]), (550,551,[4_1|3]), (551,552,[1_1|3]), (552,553,[0_1|3]), (553,554,[0_1|3]), (554,555,[1_1|3]), (555,343,[3_1|3]), (556,557,[4_1|3]), (557,558,[3_1|3]), (558,559,[0_1|3]), (559,560,[2_1|3]), (560,561,[2_1|3]), (561,562,[2_1|3]), (562,563,[1_1|3]), (563,564,[4_1|3]), (564,343,[3_1|3]), (565,566,[0_1|3]), (566,567,[3_1|3]), (567,568,[0_1|3]), (568,569,[4_1|3]), (569,570,[0_1|3]), (570,571,[3_1|3]), (571,572,[3_1|3]), (572,573,[3_1|3]), (573,344,[4_1|3]), (574,575,[1_1|3]), (575,576,[1_1|3]), (576,577,[1_1|3]), (577,578,[2_1|3]), (578,579,[1_1|3]), (579,580,[4_1|3]), (580,581,[5_1|3]), (581,582,[2_1|3]), (582,268,[4_1|3]), (582,277,[4_1|3]), (582,286,[4_1|3]), (583,584,[1_1|3]), (584,585,[1_1|3]), (585,586,[1_1|3]), (586,587,[2_1|3]), (587,588,[1_1|3]), (588,589,[4_1|3]), (589,590,[5_1|3]), (590,591,[2_1|3]), (591,371,[4_1|3]), (592,593,[0_1|3]), (593,594,[2_1|3]), (594,595,[4_1|3]), (595,596,[1_1|3]), (596,597,[2_1|3]), (597,598,[0_1|3]), (598,599,[0_1|3]), (599,600,[5_1|3]), (600,299,[2_1|3]), (601,602,[1_1|3]), (602,603,[1_1|3]), (603,604,[1_1|3]), (604,605,[2_1|3]), (605,606,[1_1|3]), (606,607,[4_1|3]), (607,608,[5_1|3]), (608,609,[2_1|3]), (609,360,[4_1|3]), (609,369,[4_1|3]), (609,583,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)