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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 51 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 32 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: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 5(0(4(x1))) -> 1(5(1(0(3(4(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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_5(x_1) -> 5(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: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 5(0(4(x1))) -> 1(5(1(0(3(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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_5(x_1) -> 5(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: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 5(0(4(x1))) -> 1(5(1(0(3(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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_5(x_1) -> 5(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: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 5(0(4(x1))) -> 1(5(1(0(3(4(x1)))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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_5(x_1) -> 5(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 4. The certificate found is represented by the following graph. "[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] {(150,151,[0_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_4_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_5_1|0]), (150,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (150,153,[0_1|2]), (150,158,[0_1|2]), (150,163,[0_1|2]), (150,168,[1_1|2]), (150,173,[0_1|2]), (150,178,[0_1|2]), (150,183,[1_1|2]), (150,188,[5_1|2]), (150,193,[0_1|2]), (150,198,[5_1|2]), (150,203,[1_1|2]), (150,208,[2_1|2]), (150,213,[2_1|2]), (150,218,[2_1|2]), (150,223,[2_1|2]), (150,228,[2_1|2]), (150,233,[3_1|2]), (150,238,[3_1|2]), (150,243,[2_1|2]), (150,248,[4_1|2]), (150,253,[4_1|2]), (150,258,[1_1|2]), (150,263,[1_1|2]), (150,268,[1_1|2]), (150,273,[1_1|3]), (151,151,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (152,153,[0_1|2]), (152,158,[0_1|2]), (152,163,[0_1|2]), (152,168,[1_1|2]), (152,173,[0_1|2]), (152,178,[0_1|2]), (152,183,[1_1|2]), (152,188,[5_1|2]), (152,193,[0_1|2]), (152,198,[5_1|2]), (152,203,[1_1|2]), (152,208,[2_1|2]), (152,213,[2_1|2]), (152,218,[2_1|2]), (152,223,[2_1|2]), (152,228,[2_1|2]), (152,233,[3_1|2]), (152,238,[3_1|2]), (152,243,[2_1|2]), (152,248,[4_1|2]), (152,253,[4_1|2]), (152,258,[1_1|2]), (152,263,[1_1|2]), (152,268,[1_1|2]), (152,273,[1_1|3]), (153,154,[1_1|2]), (154,155,[4_1|2]), (155,156,[2_1|2]), (156,157,[3_1|2]), (157,152,[3_1|2]), (157,248,[3_1|2]), (157,253,[3_1|2]), (157,233,[3_1|2]), (157,238,[3_1|2]), (157,278,[3_1|3]), (158,159,[2_1|2]), (159,160,[1_1|2]), (160,161,[4_1|2]), (161,162,[3_1|2]), (162,152,[4_1|2]), (162,248,[4_1|2]), (162,253,[4_1|2]), (162,243,[2_1|2]), (163,164,[1_1|2]), (164,165,[2_1|2]), (165,166,[1_1|2]), (166,167,[0_1|2]), (167,152,[3_1|2]), (167,153,[3_1|2]), (167,158,[3_1|2]), (167,163,[3_1|2]), (167,173,[3_1|2]), (167,178,[3_1|2]), (167,193,[3_1|2]), (167,233,[3_1|2]), (167,238,[3_1|2]), (167,278,[3_1|3]), (168,169,[1_1|2]), (169,170,[5_1|2]), (170,171,[2_1|2]), (171,172,[3_1|2]), (172,152,[4_1|2]), (172,248,[4_1|2]), (172,253,[4_1|2]), (172,243,[2_1|2]), (173,174,[2_1|2]), (174,175,[2_1|2]), (175,176,[1_1|2]), (176,177,[1_1|2]), (177,152,[1_1|2]), (177,168,[1_1|2]), (177,183,[1_1|2]), (177,203,[1_1|2]), (177,258,[1_1|2]), (177,263,[1_1|2]), (177,268,[1_1|2]), (177,169,[1_1|2]), (177,204,[1_1|2]), (177,188,[5_1|2]), (177,193,[0_1|2]), (177,198,[5_1|2]), (177,273,[1_1|2]), (178,179,[2_1|2]), (179,180,[4_1|2]), (180,181,[3_1|2]), (181,182,[4_1|2]), (182,152,[4_1|2]), (182,233,[4_1|2]), (182,238,[4_1|2]), (182,243,[2_1|2]), (182,248,[4_1|2]), (182,253,[4_1|2]), (183,184,[5_1|2]), (184,185,[4_1|2]), (185,186,[3_1|2]), (186,187,[4_1|2]), (187,152,[4_1|2]), (187,248,[4_1|2]), (187,253,[4_1|2]), (187,209,[4_1|2]), (187,219,[4_1|2]), (187,229,[4_1|2]), (187,243,[2_1|2]), (188,189,[1_1|2]), (189,190,[4_1|2]), (190,191,[1_1|2]), (191,192,[4_1|2]), (192,152,[4_1|2]), (192,233,[4_1|2]), (192,238,[4_1|2]), (192,243,[2_1|2]), (192,248,[4_1|2]), (192,253,[4_1|2]), (193,194,[2_1|2]), (194,195,[1_1|2]), (195,196,[1_1|2]), (196,197,[0_1|2]), (197,152,[5_1|2]), (197,233,[5_1|2]), (197,238,[5_1|2]), (197,258,[1_1|2]), (197,263,[1_1|2]), (197,268,[1_1|2]), (197,283,[1_1|3]), (198,199,[4_1|2]), (199,200,[0_1|2]), (200,201,[3_1|2]), (201,202,[2_1|2]), (202,152,[3_1|2]), (202,233,[3_1|2]), (202,238,[3_1|2]), (202,278,[3_1|3]), (203,204,[1_1|2]), (204,205,[4_1|2]), (205,206,[3_1|2]), (206,207,[3_1|2]), (207,152,[2_1|2]), (207,188,[2_1|2]), (207,198,[2_1|2]), (207,208,[2_1|2]), (207,213,[2_1|2]), (207,218,[2_1|2]), (207,223,[2_1|2]), (207,228,[2_1|2]), (207,288,[2_1|3]), (207,293,[2_1|3]), (208,209,[4_1|2]), (209,210,[3_1|2]), (210,211,[4_1|2]), (211,212,[4_1|2]), (212,152,[4_1|2]), (212,153,[4_1|2]), (212,158,[4_1|2]), (212,163,[4_1|2]), (212,173,[4_1|2]), (212,178,[4_1|2]), (212,193,[4_1|2]), (212,243,[2_1|2]), (212,248,[4_1|2]), (212,253,[4_1|2]), (213,214,[1_1|2]), (214,215,[5_1|2]), (215,216,[1_1|2]), (216,217,[0_1|2]), (216,173,[0_1|2]), (216,178,[0_1|2]), (216,298,[0_1|3]), (216,303,[0_1|3]), (216,273,[1_1|3]), (216,313,[1_1|4]), (217,152,[1_1|2]), (217,168,[1_1|2]), (217,183,[1_1|2]), (217,203,[1_1|2]), (217,258,[1_1|2]), (217,263,[1_1|2]), (217,268,[1_1|2]), (217,154,[1_1|2]), (217,164,[1_1|2]), (217,188,[5_1|2]), (217,193,[0_1|2]), (217,198,[5_1|2]), (217,273,[1_1|2]), (218,219,[4_1|2]), (219,220,[3_1|2]), (220,221,[5_1|2]), (221,222,[2_1|2]), (222,152,[3_1|2]), (222,168,[3_1|2]), (222,183,[3_1|2]), (222,203,[3_1|2]), (222,258,[3_1|2]), (222,263,[3_1|2]), (222,268,[3_1|2]), (222,154,[3_1|2]), (222,164,[3_1|2]), (222,233,[3_1|2]), (222,238,[3_1|2]), (222,278,[3_1|3]), (222,273,[3_1|2]), (223,224,[0_1|2]), (224,225,[2_1|2]), (225,226,[1_1|2]), (226,227,[4_1|2]), (227,152,[3_1|2]), (227,248,[3_1|2]), (227,253,[3_1|2]), (227,233,[3_1|2]), (227,238,[3_1|2]), (227,278,[3_1|3]), (228,229,[4_1|2]), (229,230,[1_1|2]), (230,231,[4_1|2]), (231,232,[3_1|2]), (232,152,[1_1|2]), (232,248,[1_1|2]), (232,253,[1_1|2]), (232,188,[5_1|2]), (232,193,[0_1|2]), (232,198,[5_1|2]), (232,203,[1_1|2]), (233,234,[1_1|2]), (234,235,[4_1|2]), (235,236,[3_1|2]), (236,237,[4_1|2]), (237,152,[1_1|2]), (237,168,[1_1|2]), (237,183,[1_1|2]), (237,203,[1_1|2]), (237,258,[1_1|2]), (237,263,[1_1|2]), (237,268,[1_1|2]), (237,154,[1_1|2]), (237,164,[1_1|2]), (237,188,[5_1|2]), (237,193,[0_1|2]), (237,198,[5_1|2]), (237,273,[1_1|2]), (238,239,[1_1|2]), (239,240,[0_1|2]), (240,241,[2_1|2]), (241,242,[3_1|2]), (242,152,[2_1|2]), (242,188,[2_1|2]), (242,198,[2_1|2]), (242,208,[2_1|2]), (242,213,[2_1|2]), (242,218,[2_1|2]), (242,223,[2_1|2]), (242,228,[2_1|2]), (242,288,[2_1|3]), (242,293,[2_1|3]), (243,244,[5_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[1_1|2]), (247,152,[1_1|2]), (247,153,[1_1|2]), (247,158,[1_1|2]), (247,163,[1_1|2]), (247,173,[1_1|2]), (247,178,[1_1|2]), (247,193,[1_1|2, 0_1|2]), (247,188,[5_1|2]), (247,198,[5_1|2]), (247,203,[1_1|2]), (248,249,[1_1|2]), (249,250,[4_1|2]), (250,251,[5_1|2]), (251,252,[1_1|2]), (252,152,[4_1|2]), (252,188,[4_1|2]), (252,198,[4_1|2]), (252,243,[2_1|2]), (252,248,[4_1|2]), (252,253,[4_1|2]), (253,254,[2_1|2]), (254,255,[1_1|2]), (255,256,[4_1|2]), (256,257,[3_1|2]), (257,152,[5_1|2]), (257,188,[5_1|2]), (257,198,[5_1|2]), (257,258,[1_1|2]), (257,263,[1_1|2]), (257,268,[1_1|2]), (257,283,[1_1|3]), (258,259,[5_1|2]), (259,260,[2_1|2]), (260,261,[1_1|2]), (261,262,[0_1|2]), (261,183,[1_1|2]), (261,308,[1_1|3]), (262,152,[2_1|2]), (262,208,[2_1|2]), (262,213,[2_1|2]), (262,218,[2_1|2]), (262,223,[2_1|2]), (262,228,[2_1|2]), (262,243,[2_1|2]), (262,159,[2_1|2]), (262,174,[2_1|2]), (262,179,[2_1|2]), (262,194,[2_1|2]), (262,288,[2_1|3]), (262,293,[2_1|3]), (263,264,[0_1|2]), (264,265,[3_1|2]), (265,266,[2_1|2]), (266,267,[4_1|2]), (267,152,[4_1|2]), (267,248,[4_1|2]), (267,253,[4_1|2]), (267,243,[2_1|2]), (268,269,[5_1|2]), (269,270,[1_1|2]), (270,271,[0_1|2]), (271,272,[3_1|2]), (272,152,[4_1|2]), (272,248,[4_1|2]), (272,253,[4_1|2]), (272,243,[2_1|2]), (273,274,[5_1|3]), (274,275,[4_1|3]), (275,276,[3_1|3]), (276,277,[4_1|3]), (277,180,[4_1|3]), (278,279,[1_1|3]), (279,280,[4_1|3]), (280,281,[3_1|3]), (281,282,[4_1|3]), (282,154,[1_1|3]), (282,164,[1_1|3]), (283,284,[5_1|3]), (284,285,[2_1|3]), (285,286,[1_1|3]), (286,287,[0_1|3]), (286,273,[1_1|3]), (287,159,[2_1|3]), (287,174,[2_1|3]), (287,179,[2_1|3]), (287,194,[2_1|3]), (288,289,[1_1|3]), (289,290,[5_1|3]), (290,291,[1_1|3]), (291,292,[0_1|3]), (292,154,[1_1|3]), (292,164,[1_1|3]), (293,294,[4_1|3]), (294,295,[3_1|3]), (295,296,[5_1|3]), (296,297,[2_1|3]), (297,154,[3_1|3]), (297,164,[3_1|3]), (298,299,[2_1|3]), (299,300,[2_1|3]), (300,301,[1_1|3]), (301,302,[1_1|3]), (302,168,[1_1|3]), (302,183,[1_1|3]), (302,203,[1_1|3]), (302,258,[1_1|3]), (302,263,[1_1|3]), (302,268,[1_1|3]), (302,273,[1_1|3]), (302,169,[1_1|3]), (302,204,[1_1|3]), (303,304,[2_1|3]), (304,305,[4_1|3]), (305,306,[3_1|3]), (306,307,[4_1|3]), (307,233,[4_1|3]), (307,238,[4_1|3]), (308,309,[5_1|3]), (309,310,[4_1|3]), (310,311,[3_1|3]), (311,312,[4_1|3]), (312,248,[4_1|3]), (312,253,[4_1|3]), (312,209,[4_1|3]), (312,219,[4_1|3]), (312,229,[4_1|3]), (312,180,[4_1|3]), (312,294,[4_1|3]), (313,314,[5_1|4]), (314,315,[4_1|4]), (315,316,[3_1|4]), (316,317,[4_1|4]), (317,305,[4_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)