/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 60 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(1(2(1(x1)))) -> 0(3(1(x1))) 3(4(2(0(x1)))) -> 3(1(4(x1))) 1(2(1(2(5(x1))))) -> 3(4(5(5(x1)))) 1(2(3(1(2(1(x1)))))) -> 1(5(0(4(3(x1))))) 3(3(5(2(4(3(x1)))))) -> 0(3(4(5(3(x1))))) 5(2(3(1(3(4(x1)))))) -> 5(0(1(4(3(x1))))) 0(0(3(4(0(2(0(x1))))))) -> 4(3(4(3(0(2(0(x1))))))) 0(2(5(3(5(0(4(x1))))))) -> 0(2(3(3(5(4(1(x1))))))) 1(2(0(4(2(1(1(5(x1)))))))) -> 2(3(2(0(5(2(4(x1))))))) 2(3(4(5(5(2(2(0(x1)))))))) -> 5(4(5(3(0(0(2(x1))))))) 4(0(1(1(5(3(4(1(5(x1))))))))) -> 0(1(4(4(2(4(5(3(x1)))))))) 4(0(3(1(5(4(0(2(4(5(x1)))))))))) -> 5(5(0(2(1(5(3(0(2(4(x1)))))))))) 3(0(2(0(2(4(2(1(1(0(1(x1))))))))))) -> 3(0(4(5(3(1(5(5(4(1(x1)))))))))) 1(4(3(2(0(3(0(5(5(0(4(2(x1)))))))))))) -> 1(0(4(2(0(0(4(2(4(3(3(2(x1)))))))))))) 3(3(2(0(1(0(3(5(5(5(2(5(x1)))))))))))) -> 5(3(0(4(2(4(0(4(2(5(1(2(x1)))))))))))) 2(3(2(5(1(5(3(0(5(1(4(5(5(x1))))))))))))) -> 1(4(2(1(3(0(1(5(4(1(5(4(x1)))))))))))) 2(5(3(3(2(1(4(5(4(0(3(2(5(x1))))))))))))) -> 5(0(3(1(0(5(5(3(5(0(1(x1))))))))))) 4(3(5(1(0(0(1(1(2(1(1(2(1(3(x1)))))))))))))) -> 4(2(1(0(0(0(0(4(2(2(2(0(0(x1))))))))))))) 1(5(3(5(0(1(3(2(2(0(4(0(4(4(5(0(x1)))))))))))))))) -> 2(1(1(2(1(2(4(2(3(3(4(2(5(5(0(0(0(0(x1)))))))))))))))))) 5(2(3(0(5(4(1(0(4(1(4(3(3(3(5(5(2(x1))))))))))))))))) -> 5(2(3(4(5(4(0(5(3(5(3(4(4(5(0(2(x1)))))))))))))))) 4(0(2(2(1(1(1(0(1(5(0(2(0(4(1(1(4(4(x1)))))))))))))))))) -> 4(4(1(3(4(1(5(2(1(1(4(1(5(1(1(2(1(4(x1)))))))))))))))))) 5(0(5(0(1(3(1(3(2(4(1(4(4(0(4(5(0(1(x1)))))))))))))))))) -> 5(3(3(4(2(0(2(2(0(1(0(5(2(2(0(0(3(0(1(x1))))))))))))))))))) 0(1(5(3(3(4(1(0(1(4(3(4(0(5(5(2(3(5(5(x1))))))))))))))))))) -> 3(1(2(3(4(5(2(4(0(4(5(2(2(3(1(0(2(2(3(x1))))))))))))))))))) 2(2(5(2(3(0(3(1(4(4(3(4(4(0(3(0(1(0(0(x1))))))))))))))))))) -> 3(1(1(5(4(3(0(0(1(0(2(4(4(4(1(5(0(0(x1)))))))))))))))))) 1(5(0(0(5(4(4(3(4(3(2(2(2(2(3(4(4(1(3(0(2(x1))))))))))))))))))))) -> 2(5(3(0(2(1(5(4(2(3(4(1(1(5(1(1(5(0(4(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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)) encode_0(x_1) -> 0(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_4(x_1) -> 4(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(1(2(1(x1)))) -> 0(3(1(x1))) 3(4(2(0(x1)))) -> 3(1(4(x1))) 1(2(1(2(5(x1))))) -> 3(4(5(5(x1)))) 1(2(3(1(2(1(x1)))))) -> 1(5(0(4(3(x1))))) 3(3(5(2(4(3(x1)))))) -> 0(3(4(5(3(x1))))) 5(2(3(1(3(4(x1)))))) -> 5(0(1(4(3(x1))))) 0(0(3(4(0(2(0(x1))))))) -> 4(3(4(3(0(2(0(x1))))))) 0(2(5(3(5(0(4(x1))))))) -> 0(2(3(3(5(4(1(x1))))))) 1(2(0(4(2(1(1(5(x1)))))))) -> 2(3(2(0(5(2(4(x1))))))) 2(3(4(5(5(2(2(0(x1)))))))) -> 5(4(5(3(0(0(2(x1))))))) 4(0(1(1(5(3(4(1(5(x1))))))))) -> 0(1(4(4(2(4(5(3(x1)))))))) 4(0(3(1(5(4(0(2(4(5(x1)))))))))) -> 5(5(0(2(1(5(3(0(2(4(x1)))))))))) 3(0(2(0(2(4(2(1(1(0(1(x1))))))))))) -> 3(0(4(5(3(1(5(5(4(1(x1)))))))))) 1(4(3(2(0(3(0(5(5(0(4(2(x1)))))))))))) -> 1(0(4(2(0(0(4(2(4(3(3(2(x1)))))))))))) 3(3(2(0(1(0(3(5(5(5(2(5(x1)))))))))))) -> 5(3(0(4(2(4(0(4(2(5(1(2(x1)))))))))))) 2(3(2(5(1(5(3(0(5(1(4(5(5(x1))))))))))))) -> 1(4(2(1(3(0(1(5(4(1(5(4(x1)))))))))))) 2(5(3(3(2(1(4(5(4(0(3(2(5(x1))))))))))))) -> 5(0(3(1(0(5(5(3(5(0(1(x1))))))))))) 4(3(5(1(0(0(1(1(2(1(1(2(1(3(x1)))))))))))))) -> 4(2(1(0(0(0(0(4(2(2(2(0(0(x1))))))))))))) 1(5(3(5(0(1(3(2(2(0(4(0(4(4(5(0(x1)))))))))))))))) -> 2(1(1(2(1(2(4(2(3(3(4(2(5(5(0(0(0(0(x1)))))))))))))))))) 5(2(3(0(5(4(1(0(4(1(4(3(3(3(5(5(2(x1))))))))))))))))) -> 5(2(3(4(5(4(0(5(3(5(3(4(4(5(0(2(x1)))))))))))))))) 4(0(2(2(1(1(1(0(1(5(0(2(0(4(1(1(4(4(x1)))))))))))))))))) -> 4(4(1(3(4(1(5(2(1(1(4(1(5(1(1(2(1(4(x1)))))))))))))))))) 5(0(5(0(1(3(1(3(2(4(1(4(4(0(4(5(0(1(x1)))))))))))))))))) -> 5(3(3(4(2(0(2(2(0(1(0(5(2(2(0(0(3(0(1(x1))))))))))))))))))) 0(1(5(3(3(4(1(0(1(4(3(4(0(5(5(2(3(5(5(x1))))))))))))))))))) -> 3(1(2(3(4(5(2(4(0(4(5(2(2(3(1(0(2(2(3(x1))))))))))))))))))) 2(2(5(2(3(0(3(1(4(4(3(4(4(0(3(0(1(0(0(x1))))))))))))))))))) -> 3(1(1(5(4(3(0(0(1(0(2(4(4(4(1(5(0(0(x1)))))))))))))))))) 1(5(0(0(5(4(4(3(4(3(2(2(2(2(3(4(4(1(3(0(2(x1))))))))))))))))))))) -> 2(5(3(0(2(1(5(4(2(3(4(1(1(5(1(1(5(0(4(4(2(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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)) encode_0(x_1) -> 0(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_4(x_1) -> 4(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(1(2(1(x1)))) -> 0(3(1(x1))) 3(4(2(0(x1)))) -> 3(1(4(x1))) 1(2(1(2(5(x1))))) -> 3(4(5(5(x1)))) 1(2(3(1(2(1(x1)))))) -> 1(5(0(4(3(x1))))) 3(3(5(2(4(3(x1)))))) -> 0(3(4(5(3(x1))))) 5(2(3(1(3(4(x1)))))) -> 5(0(1(4(3(x1))))) 0(0(3(4(0(2(0(x1))))))) -> 4(3(4(3(0(2(0(x1))))))) 0(2(5(3(5(0(4(x1))))))) -> 0(2(3(3(5(4(1(x1))))))) 1(2(0(4(2(1(1(5(x1)))))))) -> 2(3(2(0(5(2(4(x1))))))) 2(3(4(5(5(2(2(0(x1)))))))) -> 5(4(5(3(0(0(2(x1))))))) 4(0(1(1(5(3(4(1(5(x1))))))))) -> 0(1(4(4(2(4(5(3(x1)))))))) 4(0(3(1(5(4(0(2(4(5(x1)))))))))) -> 5(5(0(2(1(5(3(0(2(4(x1)))))))))) 3(0(2(0(2(4(2(1(1(0(1(x1))))))))))) -> 3(0(4(5(3(1(5(5(4(1(x1)))))))))) 1(4(3(2(0(3(0(5(5(0(4(2(x1)))))))))))) -> 1(0(4(2(0(0(4(2(4(3(3(2(x1)))))))))))) 3(3(2(0(1(0(3(5(5(5(2(5(x1)))))))))))) -> 5(3(0(4(2(4(0(4(2(5(1(2(x1)))))))))))) 2(3(2(5(1(5(3(0(5(1(4(5(5(x1))))))))))))) -> 1(4(2(1(3(0(1(5(4(1(5(4(x1)))))))))))) 2(5(3(3(2(1(4(5(4(0(3(2(5(x1))))))))))))) -> 5(0(3(1(0(5(5(3(5(0(1(x1))))))))))) 4(3(5(1(0(0(1(1(2(1(1(2(1(3(x1)))))))))))))) -> 4(2(1(0(0(0(0(4(2(2(2(0(0(x1))))))))))))) 1(5(3(5(0(1(3(2(2(0(4(0(4(4(5(0(x1)))))))))))))))) -> 2(1(1(2(1(2(4(2(3(3(4(2(5(5(0(0(0(0(x1)))))))))))))))))) 5(2(3(0(5(4(1(0(4(1(4(3(3(3(5(5(2(x1))))))))))))))))) -> 5(2(3(4(5(4(0(5(3(5(3(4(4(5(0(2(x1)))))))))))))))) 4(0(2(2(1(1(1(0(1(5(0(2(0(4(1(1(4(4(x1)))))))))))))))))) -> 4(4(1(3(4(1(5(2(1(1(4(1(5(1(1(2(1(4(x1)))))))))))))))))) 5(0(5(0(1(3(1(3(2(4(1(4(4(0(4(5(0(1(x1)))))))))))))))))) -> 5(3(3(4(2(0(2(2(0(1(0(5(2(2(0(0(3(0(1(x1))))))))))))))))))) 0(1(5(3(3(4(1(0(1(4(3(4(0(5(5(2(3(5(5(x1))))))))))))))))))) -> 3(1(2(3(4(5(2(4(0(4(5(2(2(3(1(0(2(2(3(x1))))))))))))))))))) 2(2(5(2(3(0(3(1(4(4(3(4(4(0(3(0(1(0(0(x1))))))))))))))))))) -> 3(1(1(5(4(3(0(0(1(0(2(4(4(4(1(5(0(0(x1)))))))))))))))))) 1(5(0(0(5(4(4(3(4(3(2(2(2(2(3(4(4(1(3(0(2(x1))))))))))))))))))))) -> 2(5(3(0(2(1(5(4(2(3(4(1(1(5(1(1(5(0(4(4(2(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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)) encode_0(x_1) -> 0(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_4(x_1) -> 4(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(1(2(1(x1)))) -> 0(3(1(x1))) 3(4(2(0(x1)))) -> 3(1(4(x1))) 1(2(1(2(5(x1))))) -> 3(4(5(5(x1)))) 1(2(3(1(2(1(x1)))))) -> 1(5(0(4(3(x1))))) 3(3(5(2(4(3(x1)))))) -> 0(3(4(5(3(x1))))) 5(2(3(1(3(4(x1)))))) -> 5(0(1(4(3(x1))))) 0(0(3(4(0(2(0(x1))))))) -> 4(3(4(3(0(2(0(x1))))))) 0(2(5(3(5(0(4(x1))))))) -> 0(2(3(3(5(4(1(x1))))))) 1(2(0(4(2(1(1(5(x1)))))))) -> 2(3(2(0(5(2(4(x1))))))) 2(3(4(5(5(2(2(0(x1)))))))) -> 5(4(5(3(0(0(2(x1))))))) 4(0(1(1(5(3(4(1(5(x1))))))))) -> 0(1(4(4(2(4(5(3(x1)))))))) 4(0(3(1(5(4(0(2(4(5(x1)))))))))) -> 5(5(0(2(1(5(3(0(2(4(x1)))))))))) 3(0(2(0(2(4(2(1(1(0(1(x1))))))))))) -> 3(0(4(5(3(1(5(5(4(1(x1)))))))))) 1(4(3(2(0(3(0(5(5(0(4(2(x1)))))))))))) -> 1(0(4(2(0(0(4(2(4(3(3(2(x1)))))))))))) 3(3(2(0(1(0(3(5(5(5(2(5(x1)))))))))))) -> 5(3(0(4(2(4(0(4(2(5(1(2(x1)))))))))))) 2(3(2(5(1(5(3(0(5(1(4(5(5(x1))))))))))))) -> 1(4(2(1(3(0(1(5(4(1(5(4(x1)))))))))))) 2(5(3(3(2(1(4(5(4(0(3(2(5(x1))))))))))))) -> 5(0(3(1(0(5(5(3(5(0(1(x1))))))))))) 4(3(5(1(0(0(1(1(2(1(1(2(1(3(x1)))))))))))))) -> 4(2(1(0(0(0(0(4(2(2(2(0(0(x1))))))))))))) 1(5(3(5(0(1(3(2(2(0(4(0(4(4(5(0(x1)))))))))))))))) -> 2(1(1(2(1(2(4(2(3(3(4(2(5(5(0(0(0(0(x1)))))))))))))))))) 5(2(3(0(5(4(1(0(4(1(4(3(3(3(5(5(2(x1))))))))))))))))) -> 5(2(3(4(5(4(0(5(3(5(3(4(4(5(0(2(x1)))))))))))))))) 4(0(2(2(1(1(1(0(1(5(0(2(0(4(1(1(4(4(x1)))))))))))))))))) -> 4(4(1(3(4(1(5(2(1(1(4(1(5(1(1(2(1(4(x1)))))))))))))))))) 5(0(5(0(1(3(1(3(2(4(1(4(4(0(4(5(0(1(x1)))))))))))))))))) -> 5(3(3(4(2(0(2(2(0(1(0(5(2(2(0(0(3(0(1(x1))))))))))))))))))) 0(1(5(3(3(4(1(0(1(4(3(4(0(5(5(2(3(5(5(x1))))))))))))))))))) -> 3(1(2(3(4(5(2(4(0(4(5(2(2(3(1(0(2(2(3(x1))))))))))))))))))) 2(2(5(2(3(0(3(1(4(4(3(4(4(0(3(0(1(0(0(x1))))))))))))))))))) -> 3(1(1(5(4(3(0(0(1(0(2(4(4(4(1(5(0(0(x1)))))))))))))))))) 1(5(0(0(5(4(4(3(4(3(2(2(2(2(3(4(4(1(3(0(2(x1))))))))))))))))))))) -> 2(5(3(0(2(1(5(4(2(3(4(1(1(5(1(1(5(0(4(4(2(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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)) encode_0(x_1) -> 0(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_4(x_1) -> 4(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 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] {(148,149,[0_1|0, 3_1|0, 1_1|0, 5_1|0, 2_1|0, 4_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (148,150,[0_1|1, 3_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (148,151,[0_1|2]), (148,153,[3_1|2]), (148,171,[4_1|2]), (148,177,[0_1|2]), (148,183,[3_1|2]), (148,185,[0_1|2]), (148,189,[5_1|2]), (148,200,[3_1|2]), (148,209,[3_1|2]), (148,212,[1_1|2]), (148,216,[2_1|2]), (148,222,[1_1|2]), (148,233,[2_1|2]), (148,250,[2_1|2]), (148,270,[5_1|2]), (148,274,[5_1|2]), (148,289,[5_1|2]), (148,307,[5_1|2]), (148,313,[1_1|2]), (148,324,[5_1|2]), (148,334,[3_1|2]), (148,351,[0_1|2]), (148,358,[5_1|2]), (148,367,[4_1|2]), (148,384,[4_1|2]), (149,149,[cons_0_1|0, cons_3_1|0, cons_1_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 3_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (150,151,[0_1|2]), (150,153,[3_1|2]), (150,171,[4_1|2]), (150,177,[0_1|2]), (150,183,[3_1|2]), (150,185,[0_1|2]), (150,189,[5_1|2]), (150,200,[3_1|2]), (150,209,[3_1|2]), (150,212,[1_1|2]), (150,216,[2_1|2]), (150,222,[1_1|2]), (150,233,[2_1|2]), (150,250,[2_1|2]), (150,270,[5_1|2]), (150,274,[5_1|2]), (150,289,[5_1|2]), (150,307,[5_1|2]), (150,313,[1_1|2]), (150,324,[5_1|2]), (150,334,[3_1|2]), (150,351,[0_1|2]), (150,358,[5_1|2]), (150,367,[4_1|2]), (150,384,[4_1|2]), (151,152,[3_1|2]), (152,150,[1_1|2]), (152,212,[1_1|2]), (152,222,[1_1|2]), (152,313,[1_1|2]), (152,234,[1_1|2]), (152,209,[3_1|2]), (152,216,[2_1|2]), (152,233,[2_1|2]), (152,250,[2_1|2]), (153,154,[1_1|2]), (154,155,[2_1|2]), (155,156,[3_1|2]), (156,157,[4_1|2]), (157,158,[5_1|2]), (158,159,[2_1|2]), (159,160,[4_1|2]), (160,161,[0_1|2]), (161,162,[4_1|2]), (162,163,[5_1|2]), (163,164,[2_1|2]), (164,165,[2_1|2]), (165,166,[3_1|2]), (166,167,[1_1|2]), (167,168,[0_1|2]), (168,169,[2_1|2]), (169,170,[2_1|2]), (169,307,[5_1|2]), (169,313,[1_1|2]), (170,150,[3_1|2]), (170,189,[3_1|2, 5_1|2]), (170,270,[3_1|2]), (170,274,[3_1|2]), (170,289,[3_1|2]), (170,307,[3_1|2]), (170,324,[3_1|2]), (170,358,[3_1|2]), (170,359,[3_1|2]), (170,183,[3_1|2]), (170,185,[0_1|2]), (170,200,[3_1|2]), (171,172,[3_1|2]), (172,173,[4_1|2]), (173,174,[3_1|2]), (173,200,[3_1|2]), (174,175,[0_1|2]), (175,176,[2_1|2]), (176,150,[0_1|2]), (176,151,[0_1|2]), (176,177,[0_1|2]), (176,185,[0_1|2]), (176,351,[0_1|2]), (176,153,[3_1|2]), (176,171,[4_1|2]), (177,178,[2_1|2]), (178,179,[3_1|2]), (179,180,[3_1|2]), (180,181,[5_1|2]), (181,182,[4_1|2]), (182,150,[1_1|2]), (182,171,[1_1|2]), (182,367,[1_1|2]), (182,384,[1_1|2]), (182,209,[3_1|2]), (182,212,[1_1|2]), (182,216,[2_1|2]), (182,222,[1_1|2]), (182,233,[2_1|2]), (182,250,[2_1|2]), (183,184,[1_1|2]), (183,222,[1_1|2]), (184,150,[4_1|2]), (184,151,[4_1|2]), (184,177,[4_1|2]), (184,185,[4_1|2]), (184,351,[4_1|2, 0_1|2]), (184,358,[5_1|2]), (184,367,[4_1|2]), (184,384,[4_1|2]), (185,186,[3_1|2]), (186,187,[4_1|2]), (187,188,[5_1|2]), (188,150,[3_1|2]), (188,153,[3_1|2]), (188,183,[3_1|2]), (188,200,[3_1|2]), (188,209,[3_1|2]), (188,334,[3_1|2]), (188,172,[3_1|2]), (188,185,[0_1|2]), (188,189,[5_1|2]), (189,190,[3_1|2]), (190,191,[0_1|2]), (191,192,[4_1|2]), (192,193,[2_1|2]), (193,194,[4_1|2]), (194,195,[0_1|2]), (195,196,[4_1|2]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[1_1|2]), (198,209,[3_1|2]), (198,212,[1_1|2]), (198,216,[2_1|2]), (199,150,[2_1|2]), (199,189,[2_1|2]), (199,270,[2_1|2]), (199,274,[2_1|2]), (199,289,[2_1|2]), (199,307,[2_1|2, 5_1|2]), (199,324,[2_1|2, 5_1|2]), (199,358,[2_1|2]), (199,251,[2_1|2]), (199,313,[1_1|2]), (199,334,[3_1|2]), (200,201,[0_1|2]), (201,202,[4_1|2]), (202,203,[5_1|2]), (203,204,[3_1|2]), (204,205,[1_1|2]), (205,206,[5_1|2]), (206,207,[5_1|2]), (207,208,[4_1|2]), (208,150,[1_1|2]), (208,212,[1_1|2]), (208,222,[1_1|2]), (208,313,[1_1|2]), (208,352,[1_1|2]), (208,209,[3_1|2]), (208,216,[2_1|2]), (208,233,[2_1|2]), (208,250,[2_1|2]), (209,210,[4_1|2]), (210,211,[5_1|2]), (211,150,[5_1|2]), (211,189,[5_1|2]), (211,270,[5_1|2]), (211,274,[5_1|2]), (211,289,[5_1|2]), (211,307,[5_1|2]), (211,324,[5_1|2]), (211,358,[5_1|2]), (211,251,[5_1|2]), (212,213,[5_1|2]), (213,214,[0_1|2]), (214,215,[4_1|2]), (214,384,[4_1|2]), (215,150,[3_1|2]), (215,212,[3_1|2]), (215,222,[3_1|2]), (215,313,[3_1|2]), (215,234,[3_1|2]), (215,183,[3_1|2]), (215,185,[0_1|2]), (215,189,[5_1|2]), (215,200,[3_1|2]), (216,217,[3_1|2]), (217,218,[2_1|2]), (218,219,[0_1|2]), (219,220,[5_1|2]), (220,221,[2_1|2]), (221,150,[4_1|2]), (221,189,[4_1|2]), (221,270,[4_1|2]), (221,274,[4_1|2]), (221,289,[4_1|2]), (221,307,[4_1|2]), (221,324,[4_1|2]), (221,358,[4_1|2, 5_1|2]), (221,213,[4_1|2]), (221,351,[0_1|2]), (221,367,[4_1|2]), (221,384,[4_1|2]), (222,223,[0_1|2]), (223,224,[4_1|2]), (224,225,[2_1|2]), (225,226,[0_1|2]), (226,227,[0_1|2]), (227,228,[4_1|2]), (228,229,[2_1|2]), (229,230,[4_1|2]), (230,231,[3_1|2]), (230,189,[5_1|2]), (231,232,[3_1|2]), (232,150,[2_1|2]), (232,216,[2_1|2]), (232,233,[2_1|2]), (232,250,[2_1|2]), (232,385,[2_1|2]), (232,307,[5_1|2]), (232,313,[1_1|2]), (232,324,[5_1|2]), (232,334,[3_1|2]), (233,234,[1_1|2]), (234,235,[1_1|2]), (235,236,[2_1|2]), (236,237,[1_1|2]), (237,238,[2_1|2]), (238,239,[4_1|2]), (239,240,[2_1|2]), (240,241,[3_1|2]), (241,242,[3_1|2]), (242,243,[4_1|2]), (243,244,[2_1|2]), (244,245,[5_1|2]), (245,246,[5_1|2]), (246,247,[0_1|2]), (247,248,[0_1|2]), (248,249,[0_1|2]), (248,171,[4_1|2]), (249,150,[0_1|2]), (249,151,[0_1|2]), (249,177,[0_1|2]), (249,185,[0_1|2]), (249,351,[0_1|2]), (249,271,[0_1|2]), (249,325,[0_1|2]), (249,153,[3_1|2]), (249,171,[4_1|2]), (250,251,[5_1|2]), (251,252,[3_1|2]), (252,253,[0_1|2]), (253,254,[2_1|2]), (254,255,[1_1|2]), (255,256,[5_1|2]), (256,257,[4_1|2]), (257,258,[2_1|2]), (258,259,[3_1|2]), (259,260,[4_1|2]), (260,261,[1_1|2]), (261,262,[1_1|2]), (262,263,[5_1|2]), (263,264,[1_1|2]), (264,265,[1_1|2]), (265,266,[5_1|2]), (266,267,[0_1|2]), (267,268,[4_1|2]), (268,269,[4_1|2]), (269,150,[2_1|2]), (269,216,[2_1|2]), (269,233,[2_1|2]), (269,250,[2_1|2]), (269,178,[2_1|2]), (269,307,[5_1|2]), (269,313,[1_1|2]), (269,324,[5_1|2]), (269,334,[3_1|2]), (270,271,[0_1|2]), (271,272,[1_1|2]), (271,222,[1_1|2]), (272,273,[4_1|2]), (272,384,[4_1|2]), (273,150,[3_1|2]), (273,171,[3_1|2]), (273,367,[3_1|2]), (273,384,[3_1|2]), (273,210,[3_1|2]), (273,183,[3_1|2]), (273,185,[0_1|2]), (273,189,[5_1|2]), (273,200,[3_1|2]), (274,275,[2_1|2]), (275,276,[3_1|2]), (276,277,[4_1|2]), (277,278,[5_1|2]), (278,279,[4_1|2]), (279,280,[0_1|2]), (280,281,[5_1|2]), (281,282,[3_1|2]), (282,283,[5_1|2]), (283,284,[3_1|2]), (284,285,[4_1|2]), (285,286,[4_1|2]), (286,287,[5_1|2]), (287,288,[0_1|2]), (287,177,[0_1|2]), (288,150,[2_1|2]), (288,216,[2_1|2]), (288,233,[2_1|2]), (288,250,[2_1|2]), (288,275,[2_1|2]), (288,307,[5_1|2]), (288,313,[1_1|2]), (288,324,[5_1|2]), (288,334,[3_1|2]), (289,290,[3_1|2]), (290,291,[3_1|2]), (290,396,[3_1|3]), (291,292,[4_1|2]), (292,293,[2_1|2]), (293,294,[0_1|2]), (294,295,[2_1|2]), (295,296,[2_1|2]), (296,297,[0_1|2]), (297,298,[1_1|2]), (298,299,[0_1|2]), (299,300,[5_1|2]), (300,301,[2_1|2]), (301,302,[2_1|2]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[3_1|2]), (305,306,[0_1|2]), (305,151,[0_1|2]), (305,153,[3_1|2]), (305,398,[0_1|3]), (306,150,[1_1|2]), (306,212,[1_1|2]), (306,222,[1_1|2]), (306,313,[1_1|2]), (306,352,[1_1|2]), (306,272,[1_1|2]), (306,209,[3_1|2]), (306,216,[2_1|2]), (306,233,[2_1|2]), (306,250,[2_1|2]), (307,308,[4_1|2]), (308,309,[5_1|2]), (309,310,[3_1|2]), (310,311,[0_1|2]), (311,312,[0_1|2]), (311,177,[0_1|2]), (312,150,[2_1|2]), (312,151,[2_1|2]), (312,177,[2_1|2]), (312,185,[2_1|2]), (312,351,[2_1|2]), (312,307,[5_1|2]), (312,313,[1_1|2]), (312,324,[5_1|2]), (312,334,[3_1|2]), (313,314,[4_1|2]), (314,315,[2_1|2]), (315,316,[1_1|2]), (316,317,[3_1|2]), (317,318,[0_1|2]), (318,319,[1_1|2]), (319,320,[5_1|2]), (320,321,[4_1|2]), (321,322,[1_1|2]), (322,323,[5_1|2]), (323,150,[4_1|2]), (323,189,[4_1|2]), (323,270,[4_1|2]), (323,274,[4_1|2]), (323,289,[4_1|2]), (323,307,[4_1|2]), (323,324,[4_1|2]), (323,358,[4_1|2, 5_1|2]), (323,359,[4_1|2]), (323,351,[0_1|2]), (323,367,[4_1|2]), (323,384,[4_1|2]), (324,325,[0_1|2]), (325,326,[3_1|2]), (326,327,[1_1|2]), (327,328,[0_1|2]), (328,329,[5_1|2]), (329,330,[5_1|2]), (330,331,[3_1|2]), (331,332,[5_1|2]), (332,333,[0_1|2]), (332,151,[0_1|2]), (332,153,[3_1|2]), (332,398,[0_1|3]), (333,150,[1_1|2]), (333,189,[1_1|2]), (333,270,[1_1|2]), (333,274,[1_1|2]), (333,289,[1_1|2]), (333,307,[1_1|2]), (333,324,[1_1|2]), (333,358,[1_1|2]), (333,251,[1_1|2]), (333,209,[3_1|2]), (333,212,[1_1|2]), (333,216,[2_1|2]), (333,222,[1_1|2]), (333,233,[2_1|2]), (333,250,[2_1|2]), (334,335,[1_1|2]), (335,336,[1_1|2]), (336,337,[5_1|2]), (337,338,[4_1|2]), (338,339,[3_1|2]), (339,340,[0_1|2]), (340,341,[0_1|2]), (341,342,[1_1|2]), (342,343,[0_1|2]), (343,344,[2_1|2]), (344,345,[4_1|2]), (345,346,[4_1|2]), (346,347,[4_1|2]), (347,348,[1_1|2]), (347,250,[2_1|2]), (348,349,[5_1|2]), (349,350,[0_1|2]), (349,171,[4_1|2]), (350,150,[0_1|2]), (350,151,[0_1|2]), (350,177,[0_1|2]), (350,185,[0_1|2]), (350,351,[0_1|2]), (350,153,[3_1|2]), (350,171,[4_1|2]), (351,352,[1_1|2]), (352,353,[4_1|2]), (353,354,[4_1|2]), (354,355,[2_1|2]), (355,356,[4_1|2]), (356,357,[5_1|2]), (357,150,[3_1|2]), (357,189,[3_1|2, 5_1|2]), (357,270,[3_1|2]), (357,274,[3_1|2]), (357,289,[3_1|2]), (357,307,[3_1|2]), (357,324,[3_1|2]), (357,358,[3_1|2]), (357,213,[3_1|2]), (357,183,[3_1|2]), (357,185,[0_1|2]), (357,200,[3_1|2]), (358,359,[5_1|2]), (359,360,[0_1|2]), (360,361,[2_1|2]), (361,362,[1_1|2]), (362,363,[5_1|2]), (363,364,[3_1|2]), (364,365,[0_1|2]), (365,366,[2_1|2]), (366,150,[4_1|2]), (366,189,[4_1|2]), (366,270,[4_1|2]), (366,274,[4_1|2]), (366,289,[4_1|2]), (366,307,[4_1|2]), (366,324,[4_1|2]), (366,358,[4_1|2, 5_1|2]), (366,351,[0_1|2]), (366,367,[4_1|2]), (366,384,[4_1|2]), (367,368,[4_1|2]), (368,369,[1_1|2]), (369,370,[3_1|2]), (370,371,[4_1|2]), (371,372,[1_1|2]), (372,373,[5_1|2]), (373,374,[2_1|2]), (374,375,[1_1|2]), (375,376,[1_1|2]), (376,377,[4_1|2]), (377,378,[1_1|2]), (378,379,[5_1|2]), (379,380,[1_1|2]), (380,381,[1_1|2]), (381,382,[2_1|2]), (382,383,[1_1|2]), (382,222,[1_1|2]), (383,150,[4_1|2]), (383,171,[4_1|2]), (383,367,[4_1|2]), (383,384,[4_1|2]), (383,368,[4_1|2]), (383,351,[0_1|2]), (383,358,[5_1|2]), (384,385,[2_1|2]), (385,386,[1_1|2]), (386,387,[0_1|2]), (387,388,[0_1|2]), (388,389,[0_1|2]), (389,390,[0_1|2]), (390,391,[4_1|2]), (391,392,[2_1|2]), (392,393,[2_1|2]), (393,394,[2_1|2]), (394,395,[0_1|2]), (394,171,[4_1|2]), (395,150,[0_1|2]), (395,153,[0_1|2, 3_1|2]), (395,183,[0_1|2]), (395,200,[0_1|2]), (395,209,[0_1|2]), (395,334,[0_1|2]), (395,151,[0_1|2]), (395,171,[4_1|2]), (395,177,[0_1|2]), (396,397,[1_1|3]), (397,294,[4_1|3]), (398,399,[3_1|3]), (399,234,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)