/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 43 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 11 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: 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: 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(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 (innermost) 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: 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: 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: 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: 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: 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 3. The certificate found is represented by the following graph. "[113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 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, 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] {(113,114,[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]), (113,115,[3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1, 1_1|1]), (113,116,[0_1|2]), (113,125,[3_1|2]), (113,134,[0_1|2]), (113,143,[2_1|2]), (113,152,[0_1|2]), (113,161,[5_1|2]), (113,170,[3_1|2]), (113,179,[0_1|2]), (113,188,[0_1|2]), (113,197,[4_1|2]), (113,206,[4_1|2]), (113,215,[4_1|2]), (113,224,[4_1|2]), (113,233,[1_1|2]), (113,254,[1_1|2]), (113,263,[2_1|2]), (113,272,[4_1|2]), (113,281,[3_1|2]), (113,290,[0_1|2]), (113,299,[5_1|2]), (113,308,[3_1|2]), (114,114,[3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0, cons_0_1|0, cons_1_1|0]), (115,114,[encArg_1|1]), (115,115,[3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1, 1_1|1]), (115,116,[0_1|2]), (115,125,[3_1|2]), (115,134,[0_1|2]), (115,143,[2_1|2]), (115,152,[0_1|2]), (115,161,[5_1|2]), (115,170,[3_1|2]), (115,179,[0_1|2]), (115,188,[0_1|2]), (115,197,[4_1|2]), (115,206,[4_1|2]), (115,215,[4_1|2]), (115,224,[4_1|2]), (115,233,[1_1|2]), (115,254,[1_1|2]), (115,263,[2_1|2]), (115,272,[4_1|2]), (115,281,[3_1|2]), (115,290,[0_1|2]), (115,299,[5_1|2]), (115,308,[3_1|2]), (116,117,[5_1|2]), (117,118,[4_1|2]), (118,119,[0_1|2]), (119,120,[2_1|2]), (120,121,[5_1|2]), (121,122,[4_1|2]), (122,123,[5_1|2]), (123,124,[2_1|2]), (124,115,[1_1|2]), (124,161,[1_1|2]), (124,299,[1_1|2]), (124,308,[3_1|2]), (125,126,[4_1|2]), (126,127,[1_1|2]), (127,128,[1_1|2]), (128,129,[1_1|2]), (129,130,[1_1|2]), (130,131,[4_1|2]), (131,132,[4_1|2]), (132,133,[0_1|2]), (132,290,[0_1|2]), (133,115,[4_1|2]), (133,161,[4_1|2]), (133,299,[4_1|2]), (133,224,[4_1|2]), (133,233,[1_1|2]), (133,254,[1_1|2]), (133,263,[2_1|2]), (133,272,[4_1|2]), (134,135,[1_1|2]), (135,136,[3_1|2]), (136,137,[2_1|2]), (137,138,[3_1|2]), (138,139,[0_1|2]), (139,140,[3_1|2]), (140,141,[2_1|2]), (141,142,[5_1|2]), (142,115,[3_1|2]), (142,143,[3_1|2]), (142,263,[3_1|2]), (143,144,[1_1|2]), (144,145,[1_1|2]), (145,146,[4_1|2]), (146,147,[2_1|2]), (147,148,[4_1|2]), (148,149,[0_1|2]), (149,150,[4_1|2]), (150,151,[2_1|2]), (151,115,[0_1|2]), (151,116,[0_1|2]), (151,134,[0_1|2]), (151,152,[0_1|2]), (151,179,[0_1|2]), (151,188,[0_1|2]), (151,290,[0_1|2]), (151,281,[3_1|2]), (151,299,[5_1|2]), (152,153,[3_1|2]), (153,154,[5_1|2]), (154,155,[4_1|2]), (155,156,[4_1|2]), (156,157,[1_1|2]), (157,158,[0_1|2]), (158,159,[1_1|2]), (159,160,[5_1|2]), (159,344,[0_1|3]), (159,353,[3_1|3]), (159,362,[0_1|3]), (160,115,[0_1|2]), (160,125,[0_1|2]), (160,170,[0_1|2]), (160,281,[0_1|2, 3_1|2]), (160,308,[0_1|2]), (160,162,[0_1|2]), (160,300,[0_1|2]), (160,290,[0_1|2]), (160,299,[5_1|2]), (161,162,[3_1|2]), (162,163,[4_1|2]), (163,164,[1_1|2]), (164,165,[0_1|2]), (165,166,[1_1|2]), (166,167,[4_1|2]), (167,168,[5_1|2]), (168,169,[0_1|2]), (169,115,[0_1|2]), (169,161,[0_1|2]), (169,299,[0_1|2, 5_1|2]), (169,281,[3_1|2]), (169,290,[0_1|2]), (170,171,[3_1|2]), (171,172,[0_1|2]), (172,173,[5_1|2]), (173,174,[0_1|2]), (174,175,[4_1|2]), (175,176,[3_1|2]), (176,177,[4_1|2]), (177,178,[4_1|2]), (178,115,[0_1|2]), (178,197,[0_1|2]), (178,206,[0_1|2]), (178,215,[0_1|2]), (178,224,[0_1|2]), (178,272,[0_1|2]), (178,281,[3_1|2]), (178,290,[0_1|2]), (178,299,[5_1|2]), (179,180,[5_1|2]), (180,181,[0_1|2]), (181,182,[2_1|2]), (182,183,[3_1|2]), (183,184,[3_1|2]), (184,185,[4_1|2]), (185,186,[2_1|2]), (186,187,[4_1|2]), (186,263,[2_1|2]), (187,115,[2_1|2]), (187,197,[2_1|2, 4_1|2]), (187,206,[2_1|2, 4_1|2]), (187,215,[2_1|2, 4_1|2]), (187,224,[2_1|2]), (187,272,[2_1|2]), (188,189,[4_1|2]), (189,190,[2_1|2]), (190,191,[3_1|2]), (191,192,[3_1|2]), (192,193,[5_1|2]), (193,194,[2_1|2]), (194,195,[1_1|2]), (195,196,[4_1|2]), (195,272,[4_1|2]), (196,115,[4_1|2]), (196,197,[4_1|2]), (196,206,[4_1|2]), (196,215,[4_1|2]), (196,224,[4_1|2]), (196,272,[4_1|2]), (196,189,[4_1|2]), (196,291,[4_1|2]), (196,233,[1_1|2]), (196,254,[1_1|2]), (196,263,[2_1|2]), (197,198,[2_1|2]), (198,199,[5_1|2]), (199,200,[4_1|2]), (200,201,[4_1|2]), (201,202,[0_1|2]), (202,203,[0_1|2]), (203,204,[1_1|2]), (204,205,[1_1|2]), (204,308,[3_1|2]), (205,115,[2_1|2]), (205,161,[2_1|2]), (205,299,[2_1|2]), (205,197,[4_1|2]), (205,206,[4_1|2]), (205,215,[4_1|2]), (206,207,[5_1|2]), (207,208,[4_1|2]), (208,209,[3_1|2]), (209,210,[1_1|2]), (210,211,[4_1|2]), (211,212,[0_1|2]), (212,213,[2_1|2]), (213,214,[4_1|2]), (213,272,[4_1|2]), (214,115,[4_1|2]), (214,197,[4_1|2]), (214,206,[4_1|2]), (214,215,[4_1|2]), (214,224,[4_1|2]), (214,272,[4_1|2]), (214,126,[4_1|2]), (214,163,[4_1|2]), (214,233,[1_1|2]), (214,254,[1_1|2]), (214,263,[2_1|2]), (215,216,[4_1|2]), (216,217,[3_1|2]), (217,218,[2_1|2]), (218,219,[4_1|2]), (219,220,[4_1|2]), (220,221,[5_1|2]), (221,222,[1_1|2]), (222,223,[0_1|2]), (223,115,[0_1|2]), (223,197,[0_1|2]), (223,206,[0_1|2]), (223,215,[0_1|2]), (223,224,[0_1|2]), (223,272,[0_1|2]), (223,189,[0_1|2]), (223,291,[0_1|2]), (223,281,[3_1|2]), (223,290,[0_1|2]), (223,299,[5_1|2]), (224,225,[1_1|2]), (225,226,[5_1|2]), (225,317,[0_1|3]), (225,326,[3_1|3]), (225,335,[0_1|3]), (226,227,[5_1|2]), (227,228,[2_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[1_1|2]), (231,232,[3_1|2]), (232,115,[3_1|2]), (232,197,[3_1|2]), (232,206,[3_1|2]), (232,215,[3_1|2]), (232,224,[3_1|2]), (232,272,[3_1|2]), (233,234,[5_1|2]), (234,235,[1_1|2]), (235,236,[2_1|2]), (236,237,[0_1|2]), (237,238,[3_1|2]), (238,239,[2_1|2]), (239,240,[1_1|2]), (240,241,[0_1|2]), (241,115,[5_1|2]), (241,161,[5_1|2]), (241,299,[5_1|2]), (241,116,[0_1|2]), (241,125,[3_1|2]), (241,134,[0_1|2]), (241,143,[2_1|2]), (241,152,[0_1|2]), (241,170,[3_1|2]), (241,179,[0_1|2]), (241,188,[0_1|2]), (241,344,[0_1|3]), (241,353,[3_1|3]), (241,362,[0_1|3]), (254,255,[0_1|2]), (255,256,[3_1|2]), (256,257,[0_1|2]), (257,258,[4_1|2]), (258,259,[2_1|2]), (259,260,[4_1|2]), (260,261,[4_1|2]), (261,262,[3_1|2]), (262,115,[4_1|2]), (262,197,[4_1|2]), (262,206,[4_1|2]), (262,215,[4_1|2]), (262,224,[4_1|2]), (262,272,[4_1|2]), (262,189,[4_1|2]), (262,291,[4_1|2]), (262,233,[1_1|2]), (262,254,[1_1|2]), (262,263,[2_1|2]), (263,264,[3_1|2]), (264,265,[4_1|2]), (265,266,[2_1|2]), (266,267,[1_1|2]), (267,268,[1_1|2]), (268,269,[3_1|2]), (269,270,[4_1|2]), (269,263,[2_1|2]), (270,271,[2_1|2]), (270,197,[4_1|2]), (270,206,[4_1|2]), (270,215,[4_1|2]), (270,371,[4_1|3]), (270,380,[4_1|3]), (270,389,[4_1|3]), (271,115,[5_1|2]), (271,161,[5_1|2]), (271,299,[5_1|2]), (271,234,[5_1|2]), (271,116,[0_1|2]), (271,125,[3_1|2]), (271,134,[0_1|2]), (271,143,[2_1|2]), (271,152,[0_1|2]), (271,170,[3_1|2]), (271,179,[0_1|2]), (271,188,[0_1|2]), (271,344,[0_1|3]), (271,353,[3_1|3]), (271,362,[0_1|3]), (272,273,[0_1|2]), (273,274,[5_1|2]), (273,398,[0_1|3]), (273,407,[3_1|3]), (274,275,[5_1|2]), (275,276,[4_1|2]), (276,277,[5_1|2]), (277,278,[1_1|2]), (278,279,[2_1|2]), (279,280,[2_1|2]), (280,115,[1_1|2]), (280,143,[1_1|2]), (280,263,[1_1|2]), (280,308,[3_1|2]), (281,282,[2_1|2]), (282,283,[4_1|2]), (283,284,[3_1|2]), (284,285,[1_1|2]), (285,286,[5_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[3_1|2]), (289,115,[4_1|2]), (289,197,[4_1|2]), (289,206,[4_1|2]), (289,215,[4_1|2]), (289,224,[4_1|2]), (289,272,[4_1|2]), (289,126,[4_1|2]), (289,163,[4_1|2]), (289,233,[1_1|2]), (289,254,[1_1|2]), (289,263,[2_1|2]), (290,291,[4_1|2]), (291,292,[4_1|2]), (292,293,[4_1|2]), (293,294,[3_1|2]), (294,295,[3_1|2]), (295,296,[4_1|2]), (296,297,[1_1|2]), (297,298,[3_1|2]), (298,115,[1_1|2]), (298,161,[1_1|2]), (298,299,[1_1|2]), (298,308,[3_1|2]), (299,300,[3_1|2]), (300,301,[2_1|2]), (301,302,[5_1|2]), (302,303,[1_1|2]), (303,304,[0_1|2]), (304,305,[1_1|2]), (305,306,[2_1|2]), (306,307,[0_1|2]), (307,115,[5_1|2]), (307,161,[5_1|2]), (307,299,[5_1|2]), (307,116,[0_1|2]), (307,125,[3_1|2]), (307,134,[0_1|2]), (307,143,[2_1|2]), (307,152,[0_1|2]), (307,170,[3_1|2]), (307,179,[0_1|2]), (307,188,[0_1|2]), (307,344,[0_1|3]), (307,353,[3_1|3]), (307,362,[0_1|3]), (308,309,[3_1|2]), (309,310,[5_1|2]), (310,311,[3_1|2]), (311,312,[0_1|2]), (312,313,[4_1|2]), (313,314,[0_1|2]), (314,315,[3_1|2]), (315,316,[1_1|2]), (316,115,[3_1|2]), (316,197,[3_1|2]), (316,206,[3_1|2]), (316,215,[3_1|2]), (316,224,[3_1|2]), (316,272,[3_1|2]), (317,318,[5_1|3]), (318,319,[4_1|3]), (319,320,[0_1|3]), (320,321,[2_1|3]), (321,322,[5_1|3]), (322,323,[4_1|3]), (323,324,[5_1|3]), (324,325,[2_1|3]), (325,227,[1_1|3]), (326,327,[4_1|3]), (327,328,[1_1|3]), (328,329,[1_1|3]), (329,330,[1_1|3]), (330,331,[1_1|3]), (331,332,[4_1|3]), (332,333,[4_1|3]), (333,334,[0_1|3]), (334,227,[4_1|3]), (335,336,[1_1|3]), (336,337,[3_1|3]), (337,338,[2_1|3]), (338,339,[3_1|3]), (339,340,[0_1|3]), (340,341,[3_1|3]), (341,342,[2_1|3]), (342,343,[5_1|3]), (343,228,[3_1|3]), (344,345,[5_1|3]), (345,346,[4_1|3]), (346,347,[0_1|3]), (347,348,[2_1|3]), (348,349,[5_1|3]), (349,350,[4_1|3]), (350,351,[5_1|3]), (351,352,[2_1|3]), (352,161,[1_1|3]), (352,299,[1_1|3]), (353,354,[4_1|3]), (354,355,[1_1|3]), (355,356,[1_1|3]), (356,357,[1_1|3]), (357,358,[1_1|3]), (358,359,[4_1|3]), (359,360,[4_1|3]), (360,361,[0_1|3]), (361,161,[4_1|3]), (361,299,[4_1|3]), (362,363,[3_1|3]), (363,364,[5_1|3]), (364,365,[4_1|3]), (365,366,[4_1|3]), (366,367,[1_1|3]), (367,368,[0_1|3]), (368,369,[1_1|3]), (369,370,[5_1|3]), (370,162,[0_1|3]), (370,300,[0_1|3]), (371,372,[2_1|3]), (372,373,[5_1|3]), (373,374,[4_1|3]), (374,375,[4_1|3]), (375,376,[0_1|3]), (376,377,[0_1|3]), (377,378,[1_1|3]), (378,379,[1_1|3]), (379,161,[2_1|3]), (379,299,[2_1|3]), (380,381,[5_1|3]), (381,382,[4_1|3]), (382,383,[3_1|3]), (383,384,[1_1|3]), (384,385,[4_1|3]), (385,386,[0_1|3]), (386,387,[2_1|3]), (387,388,[4_1|3]), (388,163,[4_1|3]), (389,390,[4_1|3]), (390,391,[3_1|3]), (391,392,[2_1|3]), (392,393,[4_1|3]), (393,394,[4_1|3]), (394,395,[5_1|3]), (395,396,[1_1|3]), (396,397,[0_1|3]), (397,189,[0_1|3]), (397,291,[0_1|3]), (398,399,[5_1|3]), (399,400,[4_1|3]), (400,401,[0_1|3]), (401,402,[2_1|3]), (402,403,[5_1|3]), (403,404,[4_1|3]), (404,405,[5_1|3]), (405,406,[2_1|3]), (406,275,[1_1|3]), (407,408,[4_1|3]), (408,409,[1_1|3]), (409,410,[1_1|3]), (410,411,[1_1|3]), (411,412,[1_1|3]), (412,413,[4_1|3]), (413,414,[4_1|3]), (414,415,[0_1|3]), (415,275,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)