/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 57 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: 3(4(5(x1))) -> 3(2(3(2(1(5(3(5(2(2(x1)))))))))) 0(4(5(3(x1)))) -> 4(0(3(2(3(1(1(5(0(5(x1)))))))))) 0(5(4(1(x1)))) -> 0(1(4(1(5(1(2(2(0(1(x1)))))))))) 3(4(5(3(x1)))) -> 3(2(3(2(1(4(1(0(3(2(x1)))))))))) 3(5(0(5(x1)))) -> 3(2(1(4(3(3(2(0(1(5(x1)))))))))) 4(0(5(5(x1)))) -> 3(3(2(2(2(0(3(5(3(5(x1)))))))))) 5(5(3(4(x1)))) -> 1(1(4(4(1(4(3(4(2(2(x1)))))))))) 0(5(5(1(0(x1))))) -> 0(2(4(5(3(1(5(1(4(0(x1)))))))))) 2(3(5(1(0(x1))))) -> 2(1(2(5(1(1(5(4(2(0(x1)))))))))) 3(4(5(0(0(x1))))) -> 4(3(3(1(2(5(0(4(3(0(x1)))))))))) 5(2(3(5(2(x1))))) -> 5(2(2(1(2(0(5(2(2(2(x1)))))))))) 5(4(5(4(1(x1))))) -> 1(5(3(4(1(0(4(2(0(1(x1)))))))))) 0(0(5(0(5(5(x1)))))) -> 1(1(3(4(3(0(2(4(5(2(x1)))))))))) 0(5(4(3(4(5(x1)))))) -> 1(5(0(2(2(3(4(3(2(5(x1)))))))))) 0(5(4(5(2(0(x1)))))) -> 0(2(2(5(3(3(2(2(2(0(x1)))))))))) 0(5(5(1(0(5(x1)))))) -> 1(2(0(2(5(4(3(1(1(5(x1)))))))))) 0(5(5(1(1(3(x1)))))) -> 0(5(0(3(2(1(4(1(4(2(x1)))))))))) 1(2(3(5(4(4(x1)))))) -> 4(0(2(0(4(0(3(2(2(4(x1)))))))))) 3(0(4(5(3(3(x1)))))) -> 4(2(0(5(4(2(1(0(0(3(x1)))))))))) 3(4(0(5(0(1(x1)))))) -> 3(2(1(3(1(0(0(4(0(1(x1)))))))))) 4(0(4(5(4(1(x1)))))) -> 4(4(3(1(1(1(4(0(1(1(x1)))))))))) 4(3(5(0(5(5(x1)))))) -> 4(3(2(5(2(5(2(1(3(5(x1)))))))))) 5(5(0(1(0(0(x1)))))) -> 5(0(4(2(4(4(2(2(4(0(x1)))))))))) 0(0(5(0(4(0(1(x1))))))) -> 5(1(4(4(2(0(3(3(4(1(x1)))))))))) 0(0(5(3(5(3(0(x1))))))) -> 0(2(5(0(2(4(3(1(0(0(x1)))))))))) 0(1(2(5(2(3(5(x1))))))) -> 4(4(3(1(4(0(5(1(5(5(x1)))))))))) 0(5(5(5(2(3(3(x1))))))) -> 1(0(1(3(0(5(4(2(4(2(x1)))))))))) 1(0(0(5(2(3(4(x1))))))) -> 2(4(1(4(5(3(2(1(0(4(x1)))))))))) 1(5(5(2(2(5(5(x1))))))) -> 1(0(4(2(5(3(1(5(1(5(x1)))))))))) 2(3(4(3(4(5(3(x1))))))) -> 0(1(5(2(3(5(0(1(2(2(x1)))))))))) 4(0(5(0(5(4(5(x1))))))) -> 1(2(1(3(2(2(5(3(5(5(x1)))))))))) 5(3(5(5(5(4(1(x1))))))) -> 0(1(2(0(4(3(2(5(4(1(x1)))))))))) 5(4(5(5(3(3(4(x1))))))) -> 1(5(0(2(3(4(1(3(0(0(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(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: 3(4(5(x1))) -> 3(2(3(2(1(5(3(5(2(2(x1)))))))))) 0(4(5(3(x1)))) -> 4(0(3(2(3(1(1(5(0(5(x1)))))))))) 0(5(4(1(x1)))) -> 0(1(4(1(5(1(2(2(0(1(x1)))))))))) 3(4(5(3(x1)))) -> 3(2(3(2(1(4(1(0(3(2(x1)))))))))) 3(5(0(5(x1)))) -> 3(2(1(4(3(3(2(0(1(5(x1)))))))))) 4(0(5(5(x1)))) -> 3(3(2(2(2(0(3(5(3(5(x1)))))))))) 5(5(3(4(x1)))) -> 1(1(4(4(1(4(3(4(2(2(x1)))))))))) 0(5(5(1(0(x1))))) -> 0(2(4(5(3(1(5(1(4(0(x1)))))))))) 2(3(5(1(0(x1))))) -> 2(1(2(5(1(1(5(4(2(0(x1)))))))))) 3(4(5(0(0(x1))))) -> 4(3(3(1(2(5(0(4(3(0(x1)))))))))) 5(2(3(5(2(x1))))) -> 5(2(2(1(2(0(5(2(2(2(x1)))))))))) 5(4(5(4(1(x1))))) -> 1(5(3(4(1(0(4(2(0(1(x1)))))))))) 0(0(5(0(5(5(x1)))))) -> 1(1(3(4(3(0(2(4(5(2(x1)))))))))) 0(5(4(3(4(5(x1)))))) -> 1(5(0(2(2(3(4(3(2(5(x1)))))))))) 0(5(4(5(2(0(x1)))))) -> 0(2(2(5(3(3(2(2(2(0(x1)))))))))) 0(5(5(1(0(5(x1)))))) -> 1(2(0(2(5(4(3(1(1(5(x1)))))))))) 0(5(5(1(1(3(x1)))))) -> 0(5(0(3(2(1(4(1(4(2(x1)))))))))) 1(2(3(5(4(4(x1)))))) -> 4(0(2(0(4(0(3(2(2(4(x1)))))))))) 3(0(4(5(3(3(x1)))))) -> 4(2(0(5(4(2(1(0(0(3(x1)))))))))) 3(4(0(5(0(1(x1)))))) -> 3(2(1(3(1(0(0(4(0(1(x1)))))))))) 4(0(4(5(4(1(x1)))))) -> 4(4(3(1(1(1(4(0(1(1(x1)))))))))) 4(3(5(0(5(5(x1)))))) -> 4(3(2(5(2(5(2(1(3(5(x1)))))))))) 5(5(0(1(0(0(x1)))))) -> 5(0(4(2(4(4(2(2(4(0(x1)))))))))) 0(0(5(0(4(0(1(x1))))))) -> 5(1(4(4(2(0(3(3(4(1(x1)))))))))) 0(0(5(3(5(3(0(x1))))))) -> 0(2(5(0(2(4(3(1(0(0(x1)))))))))) 0(1(2(5(2(3(5(x1))))))) -> 4(4(3(1(4(0(5(1(5(5(x1)))))))))) 0(5(5(5(2(3(3(x1))))))) -> 1(0(1(3(0(5(4(2(4(2(x1)))))))))) 1(0(0(5(2(3(4(x1))))))) -> 2(4(1(4(5(3(2(1(0(4(x1)))))))))) 1(5(5(2(2(5(5(x1))))))) -> 1(0(4(2(5(3(1(5(1(5(x1)))))))))) 2(3(4(3(4(5(3(x1))))))) -> 0(1(5(2(3(5(0(1(2(2(x1)))))))))) 4(0(5(0(5(4(5(x1))))))) -> 1(2(1(3(2(2(5(3(5(5(x1)))))))))) 5(3(5(5(5(4(1(x1))))))) -> 0(1(2(0(4(3(2(5(4(1(x1)))))))))) 5(4(5(5(3(3(4(x1))))))) -> 1(5(0(2(3(4(1(3(0(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(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: 3(4(5(x1))) -> 3(2(3(2(1(5(3(5(2(2(x1)))))))))) 0(4(5(3(x1)))) -> 4(0(3(2(3(1(1(5(0(5(x1)))))))))) 0(5(4(1(x1)))) -> 0(1(4(1(5(1(2(2(0(1(x1)))))))))) 3(4(5(3(x1)))) -> 3(2(3(2(1(4(1(0(3(2(x1)))))))))) 3(5(0(5(x1)))) -> 3(2(1(4(3(3(2(0(1(5(x1)))))))))) 4(0(5(5(x1)))) -> 3(3(2(2(2(0(3(5(3(5(x1)))))))))) 5(5(3(4(x1)))) -> 1(1(4(4(1(4(3(4(2(2(x1)))))))))) 0(5(5(1(0(x1))))) -> 0(2(4(5(3(1(5(1(4(0(x1)))))))))) 2(3(5(1(0(x1))))) -> 2(1(2(5(1(1(5(4(2(0(x1)))))))))) 3(4(5(0(0(x1))))) -> 4(3(3(1(2(5(0(4(3(0(x1)))))))))) 5(2(3(5(2(x1))))) -> 5(2(2(1(2(0(5(2(2(2(x1)))))))))) 5(4(5(4(1(x1))))) -> 1(5(3(4(1(0(4(2(0(1(x1)))))))))) 0(0(5(0(5(5(x1)))))) -> 1(1(3(4(3(0(2(4(5(2(x1)))))))))) 0(5(4(3(4(5(x1)))))) -> 1(5(0(2(2(3(4(3(2(5(x1)))))))))) 0(5(4(5(2(0(x1)))))) -> 0(2(2(5(3(3(2(2(2(0(x1)))))))))) 0(5(5(1(0(5(x1)))))) -> 1(2(0(2(5(4(3(1(1(5(x1)))))))))) 0(5(5(1(1(3(x1)))))) -> 0(5(0(3(2(1(4(1(4(2(x1)))))))))) 1(2(3(5(4(4(x1)))))) -> 4(0(2(0(4(0(3(2(2(4(x1)))))))))) 3(0(4(5(3(3(x1)))))) -> 4(2(0(5(4(2(1(0(0(3(x1)))))))))) 3(4(0(5(0(1(x1)))))) -> 3(2(1(3(1(0(0(4(0(1(x1)))))))))) 4(0(4(5(4(1(x1)))))) -> 4(4(3(1(1(1(4(0(1(1(x1)))))))))) 4(3(5(0(5(5(x1)))))) -> 4(3(2(5(2(5(2(1(3(5(x1)))))))))) 5(5(0(1(0(0(x1)))))) -> 5(0(4(2(4(4(2(2(4(0(x1)))))))))) 0(0(5(0(4(0(1(x1))))))) -> 5(1(4(4(2(0(3(3(4(1(x1)))))))))) 0(0(5(3(5(3(0(x1))))))) -> 0(2(5(0(2(4(3(1(0(0(x1)))))))))) 0(1(2(5(2(3(5(x1))))))) -> 4(4(3(1(4(0(5(1(5(5(x1)))))))))) 0(5(5(5(2(3(3(x1))))))) -> 1(0(1(3(0(5(4(2(4(2(x1)))))))))) 1(0(0(5(2(3(4(x1))))))) -> 2(4(1(4(5(3(2(1(0(4(x1)))))))))) 1(5(5(2(2(5(5(x1))))))) -> 1(0(4(2(5(3(1(5(1(5(x1)))))))))) 2(3(4(3(4(5(3(x1))))))) -> 0(1(5(2(3(5(0(1(2(2(x1)))))))))) 4(0(5(0(5(4(5(x1))))))) -> 1(2(1(3(2(2(5(3(5(5(x1)))))))))) 5(3(5(5(5(4(1(x1))))))) -> 0(1(2(0(4(3(2(5(4(1(x1)))))))))) 5(4(5(5(3(3(4(x1))))))) -> 1(5(0(2(3(4(1(3(0(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(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: 3(4(5(x1))) -> 3(2(3(2(1(5(3(5(2(2(x1)))))))))) 0(4(5(3(x1)))) -> 4(0(3(2(3(1(1(5(0(5(x1)))))))))) 0(5(4(1(x1)))) -> 0(1(4(1(5(1(2(2(0(1(x1)))))))))) 3(4(5(3(x1)))) -> 3(2(3(2(1(4(1(0(3(2(x1)))))))))) 3(5(0(5(x1)))) -> 3(2(1(4(3(3(2(0(1(5(x1)))))))))) 4(0(5(5(x1)))) -> 3(3(2(2(2(0(3(5(3(5(x1)))))))))) 5(5(3(4(x1)))) -> 1(1(4(4(1(4(3(4(2(2(x1)))))))))) 0(5(5(1(0(x1))))) -> 0(2(4(5(3(1(5(1(4(0(x1)))))))))) 2(3(5(1(0(x1))))) -> 2(1(2(5(1(1(5(4(2(0(x1)))))))))) 3(4(5(0(0(x1))))) -> 4(3(3(1(2(5(0(4(3(0(x1)))))))))) 5(2(3(5(2(x1))))) -> 5(2(2(1(2(0(5(2(2(2(x1)))))))))) 5(4(5(4(1(x1))))) -> 1(5(3(4(1(0(4(2(0(1(x1)))))))))) 0(0(5(0(5(5(x1)))))) -> 1(1(3(4(3(0(2(4(5(2(x1)))))))))) 0(5(4(3(4(5(x1)))))) -> 1(5(0(2(2(3(4(3(2(5(x1)))))))))) 0(5(4(5(2(0(x1)))))) -> 0(2(2(5(3(3(2(2(2(0(x1)))))))))) 0(5(5(1(0(5(x1)))))) -> 1(2(0(2(5(4(3(1(1(5(x1)))))))))) 0(5(5(1(1(3(x1)))))) -> 0(5(0(3(2(1(4(1(4(2(x1)))))))))) 1(2(3(5(4(4(x1)))))) -> 4(0(2(0(4(0(3(2(2(4(x1)))))))))) 3(0(4(5(3(3(x1)))))) -> 4(2(0(5(4(2(1(0(0(3(x1)))))))))) 3(4(0(5(0(1(x1)))))) -> 3(2(1(3(1(0(0(4(0(1(x1)))))))))) 4(0(4(5(4(1(x1)))))) -> 4(4(3(1(1(1(4(0(1(1(x1)))))))))) 4(3(5(0(5(5(x1)))))) -> 4(3(2(5(2(5(2(1(3(5(x1)))))))))) 5(5(0(1(0(0(x1)))))) -> 5(0(4(2(4(4(2(2(4(0(x1)))))))))) 0(0(5(0(4(0(1(x1))))))) -> 5(1(4(4(2(0(3(3(4(1(x1)))))))))) 0(0(5(3(5(3(0(x1))))))) -> 0(2(5(0(2(4(3(1(0(0(x1)))))))))) 0(1(2(5(2(3(5(x1))))))) -> 4(4(3(1(4(0(5(1(5(5(x1)))))))))) 0(5(5(5(2(3(3(x1))))))) -> 1(0(1(3(0(5(4(2(4(2(x1)))))))))) 1(0(0(5(2(3(4(x1))))))) -> 2(4(1(4(5(3(2(1(0(4(x1)))))))))) 1(5(5(2(2(5(5(x1))))))) -> 1(0(4(2(5(3(1(5(1(5(x1)))))))))) 2(3(4(3(4(5(3(x1))))))) -> 0(1(5(2(3(5(0(1(2(2(x1)))))))))) 4(0(5(0(5(4(5(x1))))))) -> 1(2(1(3(2(2(5(3(5(5(x1)))))))))) 5(3(5(5(5(4(1(x1))))))) -> 0(1(2(0(4(3(2(5(4(1(x1)))))))))) 5(4(5(5(3(3(4(x1))))))) -> 1(5(0(2(3(4(1(3(0(0(x1)))))))))) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(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. "[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, 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] {(137,138,[3_1|0, 0_1|0, 4_1|0, 5_1|0, 2_1|0, 1_1|0, encArg_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0, encode_2_1|0, encode_1_1|0, encode_0_1|0]), (137,139,[3_1|1, 0_1|1, 4_1|1, 5_1|1, 2_1|1, 1_1|1]), (137,140,[3_1|2]), (137,149,[3_1|2]), (137,158,[4_1|2]), (137,167,[3_1|2]), (137,176,[3_1|2]), (137,185,[4_1|2]), (137,194,[4_1|2]), (137,203,[0_1|2]), (137,212,[1_1|2]), (137,221,[0_1|2]), (137,230,[0_1|2]), (137,239,[1_1|2]), 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(373,266,[1_1|2]), (373,311,[1_1|2]), (373,338,[1_1|2]), (373,365,[1_1|2]), (373,374,[1_1|2]), (373,428,[1_1|2]), (373,410,[4_1|2]), (373,419,[2_1|2]), (374,375,[5_1|2]), (375,376,[0_1|2]), (376,377,[2_1|2]), (377,378,[3_1|2]), (378,379,[4_1|2]), (379,380,[1_1|2]), (380,381,[3_1|2]), (381,382,[0_1|2]), (381,266,[1_1|2]), (381,275,[5_1|2]), (381,284,[0_1|2]), (382,139,[0_1|2]), (382,158,[0_1|2]), (382,185,[0_1|2]), (382,194,[0_1|2, 4_1|2]), (382,293,[0_1|2, 4_1|2]), (382,320,[0_1|2]), (382,329,[0_1|2]), (382,410,[0_1|2]), (382,203,[0_1|2]), (382,212,[1_1|2]), (382,221,[0_1|2]), (382,230,[0_1|2]), (382,239,[1_1|2]), (382,248,[0_1|2]), (382,257,[1_1|2]), (382,266,[1_1|2]), (382,275,[5_1|2]), (382,284,[0_1|2]), (383,384,[1_1|2]), (384,385,[2_1|2]), (385,386,[0_1|2]), (386,387,[4_1|2]), (387,388,[3_1|2]), (388,389,[2_1|2]), (389,390,[5_1|2]), (390,391,[4_1|2]), (391,139,[1_1|2]), (391,212,[1_1|2]), (391,239,[1_1|2]), (391,257,[1_1|2]), (391,266,[1_1|2]), (391,311,[1_1|2]), (391,338,[1_1|2]), (391,365,[1_1|2]), (391,374,[1_1|2]), (391,428,[1_1|2]), (391,410,[4_1|2]), (391,419,[2_1|2]), (392,393,[1_1|2]), (393,394,[2_1|2]), (394,395,[5_1|2]), (395,396,[1_1|2]), (396,397,[1_1|2]), (397,398,[5_1|2]), (398,399,[4_1|2]), (399,400,[2_1|2]), (400,139,[0_1|2]), (400,203,[0_1|2]), (400,221,[0_1|2]), (400,230,[0_1|2]), (400,248,[0_1|2]), (400,284,[0_1|2]), (400,383,[0_1|2]), (400,401,[0_1|2]), (400,258,[0_1|2]), (400,429,[0_1|2]), (400,194,[4_1|2]), (400,212,[1_1|2]), (400,239,[1_1|2]), (400,257,[1_1|2]), (400,266,[1_1|2]), (400,275,[5_1|2]), (400,293,[4_1|2]), (401,402,[1_1|2]), (402,403,[5_1|2]), (403,404,[2_1|2]), (404,405,[3_1|2]), (405,406,[5_1|2]), (406,407,[0_1|2]), (407,408,[1_1|2]), (408,409,[2_1|2]), (409,139,[2_1|2]), (409,140,[2_1|2]), (409,149,[2_1|2]), (409,167,[2_1|2]), (409,176,[2_1|2]), (409,302,[2_1|2]), (409,392,[2_1|2]), (409,401,[0_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (412,413,[0_1|2]), (413,414,[4_1|2]), (414,415,[0_1|2]), (415,416,[3_1|2]), (416,417,[2_1|2]), (417,418,[2_1|2]), (418,139,[4_1|2]), (418,158,[4_1|2]), (418,185,[4_1|2]), (418,194,[4_1|2]), (418,293,[4_1|2]), (418,320,[4_1|2]), (418,329,[4_1|2]), (418,410,[4_1|2]), (418,294,[4_1|2]), (418,321,[4_1|2]), (418,302,[3_1|2]), (418,311,[1_1|2]), (419,420,[4_1|2]), (420,421,[1_1|2]), (421,422,[4_1|2]), (422,423,[5_1|2]), (423,424,[3_1|2]), (424,425,[2_1|2]), (425,426,[1_1|2]), (426,427,[0_1|2]), (426,194,[4_1|2]), (427,139,[4_1|2]), (427,158,[4_1|2]), (427,185,[4_1|2]), (427,194,[4_1|2]), (427,293,[4_1|2]), (427,320,[4_1|2]), (427,329,[4_1|2]), (427,410,[4_1|2]), (427,302,[3_1|2]), (427,311,[1_1|2]), (428,429,[0_1|2]), (429,430,[4_1|2]), (430,431,[2_1|2]), (431,432,[5_1|2]), (432,433,[3_1|2]), (433,434,[1_1|2]), (434,435,[5_1|2]), (435,436,[1_1|2]), (435,428,[1_1|2]), (436,139,[5_1|2]), (436,275,[5_1|2]), (436,347,[5_1|2]), (436,356,[5_1|2]), (436,338,[1_1|2]), (436,365,[1_1|2]), (436,374,[1_1|2]), (436,383,[0_1|2]), (437,438,[2_1|3]), (438,439,[1_1|3]), (439,440,[4_1|3]), (440,441,[3_1|3]), (441,442,[3_1|3]), (442,443,[2_1|3]), (443,444,[0_1|3]), (444,445,[1_1|3]), (445,249,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)