/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 148 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 46 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: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(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(3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_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)) encode_5(x_1) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_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)) encode_5(x_1) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_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)) encode_5(x_1) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(x1)))))))))) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_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)) encode_5(x_1) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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. "[129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 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] {(129,130,[5_1|0, 2_1|0, 4_1|0, 0_1|0, 1_1|0, encArg_1|0, encode_5_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0, encode_1_1|0, encode_3_1|0]), (129,131,[3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1, 1_1|1]), (129,132,[0_1|2]), (129,141,[3_1|2]), (129,150,[0_1|2]), (129,159,[2_1|2]), (129,168,[0_1|2]), (129,177,[5_1|2]), (129,186,[3_1|2]), (129,195,[0_1|2]), (129,204,[0_1|2]), (129,213,[4_1|2]), (129,222,[4_1|2]), (129,231,[4_1|2]), (129,240,[4_1|2]), (129,249,[1_1|2]), (129,258,[1_1|2]), (129,267,[2_1|2]), (129,276,[4_1|2]), (129,285,[3_1|2]), (129,294,[0_1|2]), (129,303,[5_1|2]), (129,312,[3_1|2]), (130,130,[3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0, cons_0_1|0, cons_1_1|0]), (131,130,[encArg_1|1]), (131,131,[3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1, 1_1|1]), (131,132,[0_1|2]), (131,141,[3_1|2]), (131,150,[0_1|2]), (131,159,[2_1|2]), (131,168,[0_1|2]), (131,177,[5_1|2]), (131,186,[3_1|2]), (131,195,[0_1|2]), (131,204,[0_1|2]), (131,213,[4_1|2]), (131,222,[4_1|2]), (131,231,[4_1|2]), (131,240,[4_1|2]), (131,249,[1_1|2]), (131,258,[1_1|2]), (131,267,[2_1|2]), (131,276,[4_1|2]), (131,285,[3_1|2]), (131,294,[0_1|2]), (131,303,[5_1|2]), (131,312,[3_1|2]), (132,133,[5_1|2]), (133,134,[4_1|2]), (134,135,[0_1|2]), (135,136,[2_1|2]), (136,137,[5_1|2]), (137,138,[4_1|2]), (138,139,[5_1|2]), (139,140,[2_1|2]), (140,131,[1_1|2]), (140,177,[1_1|2]), (140,303,[1_1|2]), (140,312,[3_1|2]), (141,142,[4_1|2]), (142,143,[1_1|2]), (143,144,[1_1|2]), (144,145,[1_1|2]), (145,146,[1_1|2]), (146,147,[4_1|2]), (147,148,[4_1|2]), (148,149,[0_1|2]), (148,294,[0_1|2]), (149,131,[4_1|2]), (149,177,[4_1|2]), (149,303,[4_1|2]), (149,240,[4_1|2]), (149,249,[1_1|2]), (149,258,[1_1|2]), (149,267,[2_1|2]), (149,276,[4_1|2]), (150,151,[1_1|2]), (151,152,[3_1|2]), (152,153,[2_1|2]), (153,154,[3_1|2]), (154,155,[0_1|2]), (155,156,[3_1|2]), (156,157,[2_1|2]), (157,158,[5_1|2]), (158,131,[3_1|2]), (158,159,[3_1|2]), (158,267,[3_1|2]), (159,160,[1_1|2]), (160,161,[1_1|2]), (161,162,[4_1|2]), (162,163,[2_1|2]), (163,164,[4_1|2]), (164,165,[0_1|2]), (165,166,[4_1|2]), (166,167,[2_1|2]), (167,131,[0_1|2]), (167,132,[0_1|2]), (167,150,[0_1|2]), (167,168,[0_1|2]), (167,195,[0_1|2]), (167,204,[0_1|2]), (167,294,[0_1|2]), (167,285,[3_1|2]), (167,303,[5_1|2]), (168,169,[3_1|2]), (169,170,[5_1|2]), (170,171,[4_1|2]), (171,172,[4_1|2]), (172,173,[1_1|2]), (173,174,[0_1|2]), (174,175,[1_1|2]), (175,176,[5_1|2]), (175,348,[0_1|3]), (175,357,[3_1|3]), (175,366,[0_1|3]), (176,131,[0_1|2]), (176,141,[0_1|2]), (176,186,[0_1|2]), (176,285,[0_1|2, 3_1|2]), (176,312,[0_1|2]), (176,178,[0_1|2]), (176,304,[0_1|2]), (176,294,[0_1|2]), (176,303,[5_1|2]), (177,178,[3_1|2]), (178,179,[4_1|2]), (179,180,[1_1|2]), (180,181,[0_1|2]), (181,182,[1_1|2]), (182,183,[4_1|2]), (183,184,[5_1|2]), (184,185,[0_1|2]), (185,131,[0_1|2]), (185,177,[0_1|2]), (185,303,[0_1|2, 5_1|2]), (185,285,[3_1|2]), (185,294,[0_1|2]), (186,187,[3_1|2]), (187,188,[0_1|2]), (188,189,[5_1|2]), (189,190,[0_1|2]), (190,191,[4_1|2]), (191,192,[3_1|2]), (192,193,[4_1|2]), (193,194,[4_1|2]), (194,131,[0_1|2]), (194,213,[0_1|2]), (194,222,[0_1|2]), (194,231,[0_1|2]), (194,240,[0_1|2]), (194,276,[0_1|2]), (194,285,[3_1|2]), (194,294,[0_1|2]), (194,303,[5_1|2]), (195,196,[5_1|2]), (196,197,[0_1|2]), (197,198,[2_1|2]), (198,199,[3_1|2]), (199,200,[3_1|2]), (200,201,[4_1|2]), (201,202,[2_1|2]), (202,203,[4_1|2]), (202,267,[2_1|2]), (203,131,[2_1|2]), (203,213,[2_1|2, 4_1|2]), (203,222,[2_1|2, 4_1|2]), (203,231,[2_1|2, 4_1|2]), (203,240,[2_1|2]), (203,276,[2_1|2]), (204,205,[4_1|2]), (205,206,[2_1|2]), (206,207,[3_1|2]), (207,208,[3_1|2]), (208,209,[5_1|2]), (209,210,[2_1|2]), (210,211,[1_1|2]), (211,212,[4_1|2]), (211,276,[4_1|2]), (212,131,[4_1|2]), (212,213,[4_1|2]), (212,222,[4_1|2]), (212,231,[4_1|2]), (212,240,[4_1|2]), (212,276,[4_1|2]), (212,205,[4_1|2]), (212,295,[4_1|2]), (212,249,[1_1|2]), (212,258,[1_1|2]), (212,267,[2_1|2]), (213,214,[2_1|2]), (214,215,[5_1|2]), (215,216,[4_1|2]), (216,217,[4_1|2]), (217,218,[0_1|2]), (218,219,[0_1|2]), (219,220,[1_1|2]), (220,221,[1_1|2]), (220,312,[3_1|2]), (221,131,[2_1|2]), (221,177,[2_1|2]), (221,303,[2_1|2]), (221,213,[4_1|2]), (221,222,[4_1|2]), (221,231,[4_1|2]), (222,223,[5_1|2]), (223,224,[4_1|2]), (224,225,[3_1|2]), (225,226,[1_1|2]), (226,227,[4_1|2]), (227,228,[0_1|2]), (228,229,[2_1|2]), (229,230,[4_1|2]), (229,276,[4_1|2]), (230,131,[4_1|2]), (230,213,[4_1|2]), (230,222,[4_1|2]), (230,231,[4_1|2]), (230,240,[4_1|2]), (230,276,[4_1|2]), (230,142,[4_1|2]), (230,179,[4_1|2]), (230,249,[1_1|2]), (230,258,[1_1|2]), (230,267,[2_1|2]), (231,232,[4_1|2]), (232,233,[3_1|2]), (233,234,[2_1|2]), (234,235,[4_1|2]), (235,236,[4_1|2]), (236,237,[5_1|2]), (237,238,[1_1|2]), (238,239,[0_1|2]), (239,131,[0_1|2]), (239,213,[0_1|2]), (239,222,[0_1|2]), (239,231,[0_1|2]), (239,240,[0_1|2]), (239,276,[0_1|2]), (239,205,[0_1|2]), (239,295,[0_1|2]), (239,285,[3_1|2]), (239,294,[0_1|2]), (239,303,[5_1|2]), (240,241,[1_1|2]), (241,242,[5_1|2]), (241,321,[0_1|3]), (241,330,[3_1|3]), (241,339,[0_1|3]), (242,243,[5_1|2]), (243,244,[2_1|2]), (244,245,[0_1|2]), (245,246,[3_1|2]), (246,247,[1_1|2]), (247,248,[3_1|2]), (248,131,[3_1|2]), (248,213,[3_1|2]), (248,222,[3_1|2]), (248,231,[3_1|2]), (248,240,[3_1|2]), (248,276,[3_1|2]), (249,250,[5_1|2]), (250,251,[1_1|2]), (251,252,[2_1|2]), (252,253,[0_1|2]), (253,254,[3_1|2]), (254,255,[2_1|2]), (255,256,[1_1|2]), (256,257,[0_1|2]), (257,131,[5_1|2]), (257,177,[5_1|2]), (257,303,[5_1|2]), (257,132,[0_1|2]), (257,141,[3_1|2]), (257,150,[0_1|2]), (257,159,[2_1|2]), (257,168,[0_1|2]), (257,186,[3_1|2]), (257,195,[0_1|2]), (257,204,[0_1|2]), (257,348,[0_1|3]), (257,357,[3_1|3]), (257,366,[0_1|3]), (258,259,[0_1|2]), (259,260,[3_1|2]), (260,261,[0_1|2]), (261,262,[4_1|2]), (262,263,[2_1|2]), (263,264,[4_1|2]), (264,265,[4_1|2]), (265,266,[3_1|2]), (266,131,[4_1|2]), (266,213,[4_1|2]), (266,222,[4_1|2]), (266,231,[4_1|2]), (266,240,[4_1|2]), (266,276,[4_1|2]), (266,205,[4_1|2]), (266,295,[4_1|2]), (266,249,[1_1|2]), (266,258,[1_1|2]), (266,267,[2_1|2]), (267,268,[3_1|2]), (268,269,[4_1|2]), (269,270,[2_1|2]), (270,271,[1_1|2]), (271,272,[1_1|2]), (272,273,[3_1|2]), (273,274,[4_1|2]), (273,267,[2_1|2]), (274,275,[2_1|2]), (274,213,[4_1|2]), (274,222,[4_1|2]), (274,231,[4_1|2]), (274,375,[4_1|3]), (274,384,[4_1|3]), (274,393,[4_1|3]), (275,131,[5_1|2]), (275,177,[5_1|2]), (275,303,[5_1|2]), (275,250,[5_1|2]), (275,132,[0_1|2]), (275,141,[3_1|2]), (275,150,[0_1|2]), (275,159,[2_1|2]), (275,168,[0_1|2]), (275,186,[3_1|2]), (275,195,[0_1|2]), (275,204,[0_1|2]), (275,348,[0_1|3]), (275,357,[3_1|3]), (275,366,[0_1|3]), (276,277,[0_1|2]), (277,278,[5_1|2]), (277,402,[0_1|3]), (277,411,[3_1|3]), (278,279,[5_1|2]), (279,280,[4_1|2]), (280,281,[5_1|2]), (281,282,[1_1|2]), (282,283,[2_1|2]), (283,284,[2_1|2]), (284,131,[1_1|2]), (284,159,[1_1|2]), (284,267,[1_1|2]), (284,312,[3_1|2]), (285,286,[2_1|2]), (286,287,[4_1|2]), (287,288,[3_1|2]), (288,289,[1_1|2]), (289,290,[5_1|2]), (290,291,[1_1|2]), (291,292,[1_1|2]), (292,293,[3_1|2]), (293,131,[4_1|2]), (293,213,[4_1|2]), (293,222,[4_1|2]), (293,231,[4_1|2]), (293,240,[4_1|2]), (293,276,[4_1|2]), (293,142,[4_1|2]), (293,179,[4_1|2]), (293,249,[1_1|2]), (293,258,[1_1|2]), (293,267,[2_1|2]), (294,295,[4_1|2]), (295,296,[4_1|2]), (296,297,[4_1|2]), (297,298,[3_1|2]), (298,299,[3_1|2]), (299,300,[4_1|2]), (300,301,[1_1|2]), (301,302,[3_1|2]), (302,131,[1_1|2]), (302,177,[1_1|2]), (302,303,[1_1|2]), (302,312,[3_1|2]), (303,304,[3_1|2]), (304,305,[2_1|2]), (305,306,[5_1|2]), (306,307,[1_1|2]), (307,308,[0_1|2]), (308,309,[1_1|2]), (309,310,[2_1|2]), (310,311,[0_1|2]), (311,131,[5_1|2]), (311,177,[5_1|2]), (311,303,[5_1|2]), (311,132,[0_1|2]), (311,141,[3_1|2]), (311,150,[0_1|2]), (311,159,[2_1|2]), (311,168,[0_1|2]), (311,186,[3_1|2]), (311,195,[0_1|2]), (311,204,[0_1|2]), (311,348,[0_1|3]), (311,357,[3_1|3]), (311,366,[0_1|3]), (312,313,[3_1|2]), (313,314,[5_1|2]), (314,315,[3_1|2]), (315,316,[0_1|2]), (316,317,[4_1|2]), (317,318,[0_1|2]), (318,319,[3_1|2]), (319,320,[1_1|2]), (320,131,[3_1|2]), (320,213,[3_1|2]), (320,222,[3_1|2]), (320,231,[3_1|2]), (320,240,[3_1|2]), (320,276,[3_1|2]), (321,322,[5_1|3]), (322,323,[4_1|3]), (323,324,[0_1|3]), (324,325,[2_1|3]), (325,326,[5_1|3]), (326,327,[4_1|3]), (327,328,[5_1|3]), (328,329,[2_1|3]), (329,243,[1_1|3]), (330,331,[4_1|3]), (331,332,[1_1|3]), (332,333,[1_1|3]), (333,334,[1_1|3]), (334,335,[1_1|3]), (335,336,[4_1|3]), (336,337,[4_1|3]), (337,338,[0_1|3]), (338,243,[4_1|3]), (339,340,[1_1|3]), (340,341,[3_1|3]), (341,342,[2_1|3]), (342,343,[3_1|3]), (343,344,[0_1|3]), (344,345,[3_1|3]), (345,346,[2_1|3]), (346,347,[5_1|3]), (347,244,[3_1|3]), (348,349,[5_1|3]), (349,350,[4_1|3]), (350,351,[0_1|3]), (351,352,[2_1|3]), (352,353,[5_1|3]), (353,354,[4_1|3]), (354,355,[5_1|3]), (355,356,[2_1|3]), (356,177,[1_1|3]), (356,303,[1_1|3]), (357,358,[4_1|3]), (358,359,[1_1|3]), (359,360,[1_1|3]), (360,361,[1_1|3]), (361,362,[1_1|3]), (362,363,[4_1|3]), (363,364,[4_1|3]), (364,365,[0_1|3]), (365,177,[4_1|3]), (365,303,[4_1|3]), (366,367,[3_1|3]), (367,368,[5_1|3]), (368,369,[4_1|3]), (369,370,[4_1|3]), (370,371,[1_1|3]), (371,372,[0_1|3]), (372,373,[1_1|3]), (373,374,[5_1|3]), (374,178,[0_1|3]), (374,304,[0_1|3]), (375,376,[2_1|3]), (376,377,[5_1|3]), (377,378,[4_1|3]), (378,379,[4_1|3]), (379,380,[0_1|3]), (380,381,[0_1|3]), (381,382,[1_1|3]), (382,383,[1_1|3]), (383,177,[2_1|3]), (383,303,[2_1|3]), (384,385,[5_1|3]), (385,386,[4_1|3]), (386,387,[3_1|3]), (387,388,[1_1|3]), (388,389,[4_1|3]), (389,390,[0_1|3]), (390,391,[2_1|3]), (391,392,[4_1|3]), (392,179,[4_1|3]), (393,394,[4_1|3]), (394,395,[3_1|3]), (395,396,[2_1|3]), (396,397,[4_1|3]), (397,398,[4_1|3]), (398,399,[5_1|3]), (399,400,[1_1|3]), (400,401,[0_1|3]), (401,205,[0_1|3]), (401,295,[0_1|3]), (402,403,[5_1|3]), (403,404,[4_1|3]), (404,405,[0_1|3]), (405,406,[2_1|3]), (406,407,[5_1|3]), (407,408,[4_1|3]), (408,409,[5_1|3]), (409,410,[2_1|3]), (410,279,[1_1|3]), (411,412,[4_1|3]), (412,413,[1_1|3]), (413,414,[1_1|3]), (414,415,[1_1|3]), (415,416,[1_1|3]), (416,417,[4_1|3]), (417,418,[4_1|3]), (418,419,[0_1|3]), (419,279,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)