/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 47 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 19 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: 1(2(0(x1))) -> 4(0(3(3(5(4(5(1(4(3(x1)))))))))) 1(0(0(4(5(x1))))) -> 1(4(3(1(3(1(4(5(2(3(x1)))))))))) 2(0(3(0(2(x1))))) -> 3(3(1(2(2(4(5(0(4(3(x1)))))))))) 2(1(0(1(0(x1))))) -> 3(5(4(5(4(3(3(1(1(2(x1)))))))))) 3(4(2(0(2(x1))))) -> 3(5(3(0(3(3(2(5(3(2(x1)))))))))) 0(3(5(2(4(0(x1)))))) -> 4(4(0(2(3(2(2(5(3(2(x1)))))))))) 1(1(2(0(4(5(x1)))))) -> 3(0(5(4(2(1(0(2(3(3(x1)))))))))) 2(1(1(0(1(2(x1)))))) -> 3(4(4(1(3(2(2(2(5(5(x1)))))))))) 2(2(0(1(1(1(x1)))))) -> 2(3(4(1(5(2(2(2(5(4(x1)))))))))) 2(4(1(0(4(2(x1)))))) -> 1(5(1(3(2(3(4(4(4(0(x1)))))))))) 2(4(2(1(1(1(x1)))))) -> 1(3(5(4(3(4(3(1(4(4(x1)))))))))) 3(0(1(0(0(2(x1)))))) -> 2(4(2(5(3(5(0(3(3(2(x1)))))))))) 3(0(1(1(1(1(x1)))))) -> 3(2(2(4(4(5(2(4(5(1(x1)))))))))) 4(1(1(2(0(2(x1)))))) -> 4(0(3(4(4(4(2(3(2(3(x1)))))))))) 0(2(1(1(1(1(0(x1))))))) -> 0(1(5(5(3(5(2(5(5(5(x1)))))))))) 0(2(4(1(1(1(5(x1))))))) -> 4(4(3(4(3(2(3(0(2(2(x1)))))))))) 0(4(2(0(0(4(1(x1))))))) -> 4(2(5(4(1(0(4(3(3(1(x1)))))))))) 0(4(3(0(5(4(1(x1))))))) -> 0(3(1(5(3(1(2(5(4(1(x1)))))))))) 1(0(5(2(2(0(0(x1))))))) -> 1(5(4(4(3(4(5(4(5(2(x1)))))))))) 1(1(3(4(5(0(0(x1))))))) -> 1(3(1(5(3(4(1(4(5(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(0(3(3(2(4(1(3(3(2(x1)))))))))) 1(5(0(2(0(5(5(x1))))))) -> 2(5(2(5(4(2(0(0(5(5(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 4(3(3(5(5(3(1(3(5(5(x1)))))))))) 2(4(0(5(4(1(4(x1))))))) -> 3(4(5(5(1(5(3(5(1(4(x1)))))))))) 3(4(1(4(0(4(5(x1))))))) -> 3(2(2(1(3(4(3(3(0(3(x1)))))))))) 4(1(0(4(2(0(0(x1))))))) -> 4(2(2(3(1(0(0(3(4(0(x1)))))))))) 4(1(0(4(2(0(3(x1))))))) -> 0(4(3(0(0(1(5(4(3(2(x1)))))))))) 4(1(1(1(0(1(2(x1))))))) -> 3(3(2(3(3(0(1(5(5(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(5(x_1)) -> 5(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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: 1(2(0(x1))) -> 4(0(3(3(5(4(5(1(4(3(x1)))))))))) 1(0(0(4(5(x1))))) -> 1(4(3(1(3(1(4(5(2(3(x1)))))))))) 2(0(3(0(2(x1))))) -> 3(3(1(2(2(4(5(0(4(3(x1)))))))))) 2(1(0(1(0(x1))))) -> 3(5(4(5(4(3(3(1(1(2(x1)))))))))) 3(4(2(0(2(x1))))) -> 3(5(3(0(3(3(2(5(3(2(x1)))))))))) 0(3(5(2(4(0(x1)))))) -> 4(4(0(2(3(2(2(5(3(2(x1)))))))))) 1(1(2(0(4(5(x1)))))) -> 3(0(5(4(2(1(0(2(3(3(x1)))))))))) 2(1(1(0(1(2(x1)))))) -> 3(4(4(1(3(2(2(2(5(5(x1)))))))))) 2(2(0(1(1(1(x1)))))) -> 2(3(4(1(5(2(2(2(5(4(x1)))))))))) 2(4(1(0(4(2(x1)))))) -> 1(5(1(3(2(3(4(4(4(0(x1)))))))))) 2(4(2(1(1(1(x1)))))) -> 1(3(5(4(3(4(3(1(4(4(x1)))))))))) 3(0(1(0(0(2(x1)))))) -> 2(4(2(5(3(5(0(3(3(2(x1)))))))))) 3(0(1(1(1(1(x1)))))) -> 3(2(2(4(4(5(2(4(5(1(x1)))))))))) 4(1(1(2(0(2(x1)))))) -> 4(0(3(4(4(4(2(3(2(3(x1)))))))))) 0(2(1(1(1(1(0(x1))))))) -> 0(1(5(5(3(5(2(5(5(5(x1)))))))))) 0(2(4(1(1(1(5(x1))))))) -> 4(4(3(4(3(2(3(0(2(2(x1)))))))))) 0(4(2(0(0(4(1(x1))))))) -> 4(2(5(4(1(0(4(3(3(1(x1)))))))))) 0(4(3(0(5(4(1(x1))))))) -> 0(3(1(5(3(1(2(5(4(1(x1)))))))))) 1(0(5(2(2(0(0(x1))))))) -> 1(5(4(4(3(4(5(4(5(2(x1)))))))))) 1(1(3(4(5(0(0(x1))))))) -> 1(3(1(5(3(4(1(4(5(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(0(3(3(2(4(1(3(3(2(x1)))))))))) 1(5(0(2(0(5(5(x1))))))) -> 2(5(2(5(4(2(0(0(5(5(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 4(3(3(5(5(3(1(3(5(5(x1)))))))))) 2(4(0(5(4(1(4(x1))))))) -> 3(4(5(5(1(5(3(5(1(4(x1)))))))))) 3(4(1(4(0(4(5(x1))))))) -> 3(2(2(1(3(4(3(3(0(3(x1)))))))))) 4(1(0(4(2(0(0(x1))))))) -> 4(2(2(3(1(0(0(3(4(0(x1)))))))))) 4(1(0(4(2(0(3(x1))))))) -> 0(4(3(0(0(1(5(4(3(2(x1)))))))))) 4(1(1(1(0(1(2(x1))))))) -> 3(3(2(3(3(0(1(5(5(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(5(x_1)) -> 5(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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: 1(2(0(x1))) -> 4(0(3(3(5(4(5(1(4(3(x1)))))))))) 1(0(0(4(5(x1))))) -> 1(4(3(1(3(1(4(5(2(3(x1)))))))))) 2(0(3(0(2(x1))))) -> 3(3(1(2(2(4(5(0(4(3(x1)))))))))) 2(1(0(1(0(x1))))) -> 3(5(4(5(4(3(3(1(1(2(x1)))))))))) 3(4(2(0(2(x1))))) -> 3(5(3(0(3(3(2(5(3(2(x1)))))))))) 0(3(5(2(4(0(x1)))))) -> 4(4(0(2(3(2(2(5(3(2(x1)))))))))) 1(1(2(0(4(5(x1)))))) -> 3(0(5(4(2(1(0(2(3(3(x1)))))))))) 2(1(1(0(1(2(x1)))))) -> 3(4(4(1(3(2(2(2(5(5(x1)))))))))) 2(2(0(1(1(1(x1)))))) -> 2(3(4(1(5(2(2(2(5(4(x1)))))))))) 2(4(1(0(4(2(x1)))))) -> 1(5(1(3(2(3(4(4(4(0(x1)))))))))) 2(4(2(1(1(1(x1)))))) -> 1(3(5(4(3(4(3(1(4(4(x1)))))))))) 3(0(1(0(0(2(x1)))))) -> 2(4(2(5(3(5(0(3(3(2(x1)))))))))) 3(0(1(1(1(1(x1)))))) -> 3(2(2(4(4(5(2(4(5(1(x1)))))))))) 4(1(1(2(0(2(x1)))))) -> 4(0(3(4(4(4(2(3(2(3(x1)))))))))) 0(2(1(1(1(1(0(x1))))))) -> 0(1(5(5(3(5(2(5(5(5(x1)))))))))) 0(2(4(1(1(1(5(x1))))))) -> 4(4(3(4(3(2(3(0(2(2(x1)))))))))) 0(4(2(0(0(4(1(x1))))))) -> 4(2(5(4(1(0(4(3(3(1(x1)))))))))) 0(4(3(0(5(4(1(x1))))))) -> 0(3(1(5(3(1(2(5(4(1(x1)))))))))) 1(0(5(2(2(0(0(x1))))))) -> 1(5(4(4(3(4(5(4(5(2(x1)))))))))) 1(1(3(4(5(0(0(x1))))))) -> 1(3(1(5(3(4(1(4(5(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(0(3(3(2(4(1(3(3(2(x1)))))))))) 1(5(0(2(0(5(5(x1))))))) -> 2(5(2(5(4(2(0(0(5(5(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 4(3(3(5(5(3(1(3(5(5(x1)))))))))) 2(4(0(5(4(1(4(x1))))))) -> 3(4(5(5(1(5(3(5(1(4(x1)))))))))) 3(4(1(4(0(4(5(x1))))))) -> 3(2(2(1(3(4(3(3(0(3(x1)))))))))) 4(1(0(4(2(0(0(x1))))))) -> 4(2(2(3(1(0(0(3(4(0(x1)))))))))) 4(1(0(4(2(0(3(x1))))))) -> 0(4(3(0(0(1(5(4(3(2(x1)))))))))) 4(1(1(1(0(1(2(x1))))))) -> 3(3(2(3(3(0(1(5(5(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(5(x_1)) -> 5(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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: 1(2(0(x1))) -> 4(0(3(3(5(4(5(1(4(3(x1)))))))))) 1(0(0(4(5(x1))))) -> 1(4(3(1(3(1(4(5(2(3(x1)))))))))) 2(0(3(0(2(x1))))) -> 3(3(1(2(2(4(5(0(4(3(x1)))))))))) 2(1(0(1(0(x1))))) -> 3(5(4(5(4(3(3(1(1(2(x1)))))))))) 3(4(2(0(2(x1))))) -> 3(5(3(0(3(3(2(5(3(2(x1)))))))))) 0(3(5(2(4(0(x1)))))) -> 4(4(0(2(3(2(2(5(3(2(x1)))))))))) 1(1(2(0(4(5(x1)))))) -> 3(0(5(4(2(1(0(2(3(3(x1)))))))))) 2(1(1(0(1(2(x1)))))) -> 3(4(4(1(3(2(2(2(5(5(x1)))))))))) 2(2(0(1(1(1(x1)))))) -> 2(3(4(1(5(2(2(2(5(4(x1)))))))))) 2(4(1(0(4(2(x1)))))) -> 1(5(1(3(2(3(4(4(4(0(x1)))))))))) 2(4(2(1(1(1(x1)))))) -> 1(3(5(4(3(4(3(1(4(4(x1)))))))))) 3(0(1(0(0(2(x1)))))) -> 2(4(2(5(3(5(0(3(3(2(x1)))))))))) 3(0(1(1(1(1(x1)))))) -> 3(2(2(4(4(5(2(4(5(1(x1)))))))))) 4(1(1(2(0(2(x1)))))) -> 4(0(3(4(4(4(2(3(2(3(x1)))))))))) 0(2(1(1(1(1(0(x1))))))) -> 0(1(5(5(3(5(2(5(5(5(x1)))))))))) 0(2(4(1(1(1(5(x1))))))) -> 4(4(3(4(3(2(3(0(2(2(x1)))))))))) 0(4(2(0(0(4(1(x1))))))) -> 4(2(5(4(1(0(4(3(3(1(x1)))))))))) 0(4(3(0(5(4(1(x1))))))) -> 0(3(1(5(3(1(2(5(4(1(x1)))))))))) 1(0(5(2(2(0(0(x1))))))) -> 1(5(4(4(3(4(5(4(5(2(x1)))))))))) 1(1(3(4(5(0(0(x1))))))) -> 1(3(1(5(3(4(1(4(5(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(0(3(3(2(4(1(3(3(2(x1)))))))))) 1(5(0(2(0(5(5(x1))))))) -> 2(5(2(5(4(2(0(0(5(5(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 4(3(3(5(5(3(1(3(5(5(x1)))))))))) 2(4(0(5(4(1(4(x1))))))) -> 3(4(5(5(1(5(3(5(1(4(x1)))))))))) 3(4(1(4(0(4(5(x1))))))) -> 3(2(2(1(3(4(3(3(0(3(x1)))))))))) 4(1(0(4(2(0(0(x1))))))) -> 4(2(2(3(1(0(0(3(4(0(x1)))))))))) 4(1(0(4(2(0(3(x1))))))) -> 0(4(3(0(0(1(5(4(3(2(x1)))))))))) 4(1(1(1(0(1(2(x1))))))) -> 3(3(2(3(3(0(1(5(5(2(x1)))))))))) encArg(5(x_1)) -> 5(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(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 3. The certificate found is represented by the following graph. "[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, 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] {(125,126,[1_1|0, 2_1|0, 3_1|0, 0_1|0, 4_1|0, encArg_1|0, encode_1_1|0, encode_2_1|0, encode_0_1|0, encode_4_1|0, encode_3_1|0, encode_5_1|0]), (125,127,[5_1|1, 1_1|1, 2_1|1, 3_1|1, 0_1|1, 4_1|1]), (125,128,[4_1|2]), (125,137,[1_1|2]), (125,146,[1_1|2]), (125,155,[3_1|2]), (125,164,[1_1|2]), (125,173,[5_1|2]), (125,182,[2_1|2]), (125,191,[3_1|2]), (125,200,[4_1|2]), (125,209,[3_1|2]), (125,218,[3_1|2]), (125,227,[2_1|2]), (125,236,[1_1|2]), (125,245,[1_1|2]), (125,254,[3_1|2]), (125,263,[3_1|2]), (125,272,[3_1|2]), (125,281,[2_1|2]), (125,290,[3_1|2]), (125,299,[4_1|2]), (125,308,[0_1|2]), (125,317,[4_1|2]), (125,326,[4_1|2]), (125,335,[0_1|2]), (125,344,[4_1|2]), (125,353,[3_1|2]), (125,362,[4_1|2]), (125,371,[0_1|2]), (126,126,[5_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_0_1|0, cons_4_1|0]), (127,126,[encArg_1|1]), (127,127,[5_1|1, 1_1|1, 2_1|1, 3_1|1, 0_1|1, 4_1|1]), (127,128,[4_1|2]), (127,137,[1_1|2]), (127,146,[1_1|2]), (127,155,[3_1|2]), (127,164,[1_1|2]), (127,173,[5_1|2]), (127,182,[2_1|2]), (127,191,[3_1|2]), (127,200,[4_1|2]), (127,209,[3_1|2]), (127,218,[3_1|2]), (127,227,[2_1|2]), (127,236,[1_1|2]), (127,245,[1_1|2]), (127,254,[3_1|2]), (127,263,[3_1|2]), (127,272,[3_1|2]), (127,281,[2_1|2]), (127,290,[3_1|2]), (127,299,[4_1|2]), (127,308,[0_1|2]), (127,317,[4_1|2]), (127,326,[4_1|2]), (127,335,[0_1|2]), (127,344,[4_1|2]), (127,353,[3_1|2]), (127,362,[4_1|2]), (127,371,[0_1|2]), (128,129,[0_1|2]), (129,130,[3_1|2]), (130,131,[3_1|2]), (131,132,[5_1|2]), (132,133,[4_1|2]), (133,134,[5_1|2]), (134,135,[1_1|2]), (134,173,[5_1|2]), (135,136,[4_1|2]), (136,127,[3_1|2]), (136,308,[3_1|2]), (136,335,[3_1|2]), (136,371,[3_1|2]), (136,263,[3_1|2]), (136,272,[3_1|2]), (136,281,[2_1|2]), (136,290,[3_1|2]), (137,138,[4_1|2]), (138,139,[3_1|2]), (139,140,[1_1|2]), (140,141,[3_1|2]), (141,142,[1_1|2]), (142,143,[4_1|2]), (143,144,[5_1|2]), (144,145,[2_1|2]), (145,127,[3_1|2]), (145,173,[3_1|2]), (145,263,[3_1|2]), (145,272,[3_1|2]), (145,281,[2_1|2]), (145,290,[3_1|2]), (146,147,[5_1|2]), (147,148,[4_1|2]), (148,149,[4_1|2]), (149,150,[3_1|2]), (150,151,[4_1|2]), (151,152,[5_1|2]), (152,153,[4_1|2]), (153,154,[5_1|2]), (154,127,[2_1|2]), (154,308,[2_1|2]), (154,335,[2_1|2]), (154,371,[2_1|2]), (154,191,[3_1|2]), (154,200,[4_1|2]), (154,209,[3_1|2]), (154,218,[3_1|2]), (154,227,[2_1|2]), (154,236,[1_1|2]), (154,245,[1_1|2]), (154,254,[3_1|2]), (155,156,[0_1|2]), (156,157,[5_1|2]), (157,158,[4_1|2]), (158,159,[2_1|2]), (159,160,[1_1|2]), (160,161,[0_1|2]), (161,162,[2_1|2]), (162,163,[3_1|2]), (163,127,[3_1|2]), (163,173,[3_1|2]), (163,263,[3_1|2]), (163,272,[3_1|2]), (163,281,[2_1|2]), (163,290,[3_1|2]), (164,165,[3_1|2]), (165,166,[1_1|2]), (166,167,[5_1|2]), (167,168,[3_1|2]), (168,169,[4_1|2]), (169,170,[1_1|2]), (170,171,[4_1|2]), (171,172,[5_1|2]), (172,127,[3_1|2]), (172,308,[3_1|2]), (172,335,[3_1|2]), (172,371,[3_1|2]), (172,263,[3_1|2]), (172,272,[3_1|2]), (172,281,[2_1|2]), (172,290,[3_1|2]), (173,174,[0_1|2]), (174,175,[3_1|2]), (175,176,[3_1|2]), (176,177,[2_1|2]), (177,178,[4_1|2]), (178,179,[1_1|2]), (179,180,[3_1|2]), (180,181,[3_1|2]), (181,127,[2_1|2]), (181,173,[2_1|2]), (181,191,[3_1|2]), (181,200,[4_1|2]), (181,209,[3_1|2]), (181,218,[3_1|2]), (181,227,[2_1|2]), (181,236,[1_1|2]), (181,245,[1_1|2]), (181,254,[3_1|2]), (182,183,[5_1|2]), (183,184,[2_1|2]), (184,185,[5_1|2]), (185,186,[4_1|2]), (186,187,[2_1|2]), (187,188,[0_1|2]), (188,189,[0_1|2]), (189,190,[5_1|2]), (190,127,[5_1|2]), (190,173,[5_1|2]), (191,192,[3_1|2]), (192,193,[1_1|2]), (193,194,[2_1|2]), (194,195,[2_1|2]), (195,196,[4_1|2]), (196,197,[5_1|2]), (197,198,[0_1|2]), (197,335,[0_1|2]), (198,199,[4_1|2]), (199,127,[3_1|2]), (199,182,[3_1|2]), (199,227,[3_1|2]), (199,281,[3_1|2, 2_1|2]), (199,263,[3_1|2]), (199,272,[3_1|2]), (199,290,[3_1|2]), (200,201,[3_1|2]), (201,202,[3_1|2]), (202,203,[5_1|2]), (203,204,[5_1|2]), (204,205,[3_1|2]), (205,206,[1_1|2]), (206,207,[3_1|2]), (207,208,[5_1|2]), (208,127,[5_1|2]), (208,173,[5_1|2]), (209,210,[5_1|2]), (210,211,[4_1|2]), (211,212,[5_1|2]), (212,213,[4_1|2]), (213,214,[3_1|2]), (214,215,[3_1|2]), (215,216,[1_1|2]), (215,155,[3_1|2]), (216,217,[1_1|2]), (216,128,[4_1|2]), (216,380,[4_1|3]), (217,127,[2_1|2]), (217,308,[2_1|2]), (217,335,[2_1|2]), (217,371,[2_1|2]), (217,191,[3_1|2]), (217,200,[4_1|2]), (217,209,[3_1|2]), (217,218,[3_1|2]), (217,227,[2_1|2]), (217,236,[1_1|2]), (217,245,[1_1|2]), (217,254,[3_1|2]), (218,219,[4_1|2]), (219,220,[4_1|2]), (220,221,[1_1|2]), (221,222,[3_1|2]), (222,223,[2_1|2]), (223,224,[2_1|2]), (224,225,[2_1|2]), (225,226,[5_1|2]), (226,127,[5_1|2]), (226,182,[5_1|2]), (226,227,[5_1|2]), (226,281,[5_1|2]), (227,228,[3_1|2]), (228,229,[4_1|2]), (229,230,[1_1|2]), (230,231,[5_1|2]), (231,232,[2_1|2]), (232,233,[2_1|2]), (233,234,[2_1|2]), (234,235,[5_1|2]), (235,127,[4_1|2]), (235,137,[4_1|2]), (235,146,[4_1|2]), (235,164,[4_1|2]), (235,236,[4_1|2]), (235,245,[4_1|2]), (235,344,[4_1|2]), (235,353,[3_1|2]), (235,362,[4_1|2]), (235,371,[0_1|2]), (236,237,[5_1|2]), (237,238,[1_1|2]), (238,239,[3_1|2]), (239,240,[2_1|2]), (240,241,[3_1|2]), (241,242,[4_1|2]), (242,243,[4_1|2]), (243,244,[4_1|2]), (244,127,[0_1|2]), (244,182,[0_1|2]), (244,227,[0_1|2]), (244,281,[0_1|2]), (244,327,[0_1|2]), (244,363,[0_1|2]), (244,299,[4_1|2]), (244,308,[0_1|2]), (244,317,[4_1|2]), (244,326,[4_1|2]), (244,335,[0_1|2]), (245,246,[3_1|2]), (246,247,[5_1|2]), (247,248,[4_1|2]), (248,249,[3_1|2]), (249,250,[4_1|2]), (250,251,[3_1|2]), (251,252,[1_1|2]), (252,253,[4_1|2]), (253,127,[4_1|2]), (253,137,[4_1|2]), (253,146,[4_1|2]), (253,164,[4_1|2]), (253,236,[4_1|2]), (253,245,[4_1|2]), (253,344,[4_1|2]), (253,353,[3_1|2]), (253,362,[4_1|2]), (253,371,[0_1|2]), (254,255,[4_1|2]), (255,256,[5_1|2]), (256,257,[5_1|2]), (257,258,[1_1|2]), (258,259,[5_1|2]), (259,260,[3_1|2]), (260,261,[5_1|2]), (261,262,[1_1|2]), (261,173,[5_1|2]), (262,127,[4_1|2]), (262,128,[4_1|2]), (262,200,[4_1|2]), (262,299,[4_1|2]), (262,317,[4_1|2]), (262,326,[4_1|2]), (262,344,[4_1|2]), (262,362,[4_1|2]), (262,138,[4_1|2]), (262,353,[3_1|2]), (262,371,[0_1|2]), (263,264,[5_1|2]), (264,265,[3_1|2]), (265,266,[0_1|2]), (266,267,[3_1|2]), (267,268,[3_1|2]), (268,269,[2_1|2]), (269,270,[5_1|2]), (270,271,[3_1|2]), (271,127,[2_1|2]), (271,182,[2_1|2]), (271,227,[2_1|2]), (271,281,[2_1|2]), (271,191,[3_1|2]), (271,200,[4_1|2]), (271,209,[3_1|2]), (271,218,[3_1|2]), (271,236,[1_1|2]), (271,245,[1_1|2]), (271,254,[3_1|2]), (272,273,[2_1|2]), (273,274,[2_1|2]), (274,275,[1_1|2]), (275,276,[3_1|2]), (276,277,[4_1|2]), (277,278,[3_1|2]), (278,279,[3_1|2]), (279,280,[0_1|2]), (279,299,[4_1|2]), (280,127,[3_1|2]), (280,173,[3_1|2]), (280,263,[3_1|2]), (280,272,[3_1|2]), (280,281,[2_1|2]), (280,290,[3_1|2]), (281,282,[4_1|2]), (282,283,[2_1|2]), (283,284,[5_1|2]), (284,285,[3_1|2]), (285,286,[5_1|2]), (286,287,[0_1|2]), (287,288,[3_1|2]), (288,289,[3_1|2]), (289,127,[2_1|2]), (289,182,[2_1|2]), (289,227,[2_1|2]), (289,281,[2_1|2]), (289,191,[3_1|2]), (289,200,[4_1|2]), (289,209,[3_1|2]), (289,218,[3_1|2]), (289,236,[1_1|2]), (289,245,[1_1|2]), (289,254,[3_1|2]), (290,291,[2_1|2]), (291,292,[2_1|2]), (292,293,[4_1|2]), (293,294,[4_1|2]), (294,295,[5_1|2]), (295,296,[2_1|2]), (296,297,[4_1|2]), (297,298,[5_1|2]), (298,127,[1_1|2]), (298,137,[1_1|2]), (298,146,[1_1|2]), (298,164,[1_1|2]), (298,236,[1_1|2]), (298,245,[1_1|2]), (298,128,[4_1|2]), (298,155,[3_1|2]), (298,173,[5_1|2]), (298,182,[2_1|2]), (299,300,[4_1|2]), (300,301,[0_1|2]), (301,302,[2_1|2]), (302,303,[3_1|2]), (303,304,[2_1|2]), (304,305,[2_1|2]), (305,306,[5_1|2]), (306,307,[3_1|2]), (307,127,[2_1|2]), (307,308,[2_1|2]), (307,335,[2_1|2]), (307,371,[2_1|2]), (307,129,[2_1|2]), (307,345,[2_1|2]), (307,191,[3_1|2]), (307,200,[4_1|2]), (307,209,[3_1|2]), (307,218,[3_1|2]), (307,227,[2_1|2]), (307,236,[1_1|2]), (307,245,[1_1|2]), (307,254,[3_1|2]), (308,309,[1_1|2]), (309,310,[5_1|2]), (310,311,[5_1|2]), (311,312,[3_1|2]), (312,313,[5_1|2]), (313,314,[2_1|2]), (314,315,[5_1|2]), (315,316,[5_1|2]), (316,127,[5_1|2]), (316,308,[5_1|2]), (316,335,[5_1|2]), (316,371,[5_1|2]), (317,318,[4_1|2]), (318,319,[3_1|2]), (319,320,[4_1|2]), (320,321,[3_1|2]), (321,322,[2_1|2]), (322,323,[3_1|2]), (323,324,[0_1|2]), (324,325,[2_1|2]), (324,227,[2_1|2]), (325,127,[2_1|2]), (325,173,[2_1|2]), (325,147,[2_1|2]), (325,237,[2_1|2]), (325,191,[3_1|2]), (325,200,[4_1|2]), (325,209,[3_1|2]), (325,218,[3_1|2]), (325,227,[2_1|2]), (325,236,[1_1|2]), (325,245,[1_1|2]), (325,254,[3_1|2]), (326,327,[2_1|2]), (327,328,[5_1|2]), (328,329,[4_1|2]), (329,330,[1_1|2]), (330,331,[0_1|2]), (331,332,[4_1|2]), (332,333,[3_1|2]), (333,334,[3_1|2]), (334,127,[1_1|2]), (334,137,[1_1|2]), (334,146,[1_1|2]), (334,164,[1_1|2]), (334,236,[1_1|2]), (334,245,[1_1|2]), (334,128,[4_1|2]), (334,155,[3_1|2]), (334,173,[5_1|2]), (334,182,[2_1|2]), (335,336,[3_1|2]), (336,337,[1_1|2]), (337,338,[5_1|2]), (338,339,[3_1|2]), (339,340,[1_1|2]), (340,341,[2_1|2]), (341,342,[5_1|2]), (342,343,[4_1|2]), (342,344,[4_1|2]), (342,353,[3_1|2]), (342,362,[4_1|2]), (342,371,[0_1|2]), (343,127,[1_1|2]), (343,137,[1_1|2]), (343,146,[1_1|2]), (343,164,[1_1|2]), (343,236,[1_1|2]), (343,245,[1_1|2]), (343,128,[4_1|2]), (343,155,[3_1|2]), (343,173,[5_1|2]), (343,182,[2_1|2]), (344,345,[0_1|2]), (345,346,[3_1|2]), (346,347,[4_1|2]), (347,348,[4_1|2]), (348,349,[4_1|2]), (349,350,[2_1|2]), (350,351,[3_1|2]), (351,352,[2_1|2]), (352,127,[3_1|2]), (352,182,[3_1|2]), (352,227,[3_1|2]), (352,281,[3_1|2, 2_1|2]), (352,263,[3_1|2]), (352,272,[3_1|2]), (352,290,[3_1|2]), (353,354,[3_1|2]), (354,355,[2_1|2]), (355,356,[3_1|2]), (356,357,[3_1|2]), (357,358,[0_1|2]), (358,359,[1_1|2]), (359,360,[5_1|2]), (360,361,[5_1|2]), (361,127,[2_1|2]), (361,182,[2_1|2]), (361,227,[2_1|2]), (361,281,[2_1|2]), (361,191,[3_1|2]), (361,200,[4_1|2]), (361,209,[3_1|2]), (361,218,[3_1|2]), (361,236,[1_1|2]), (361,245,[1_1|2]), (361,254,[3_1|2]), (362,363,[2_1|2]), (363,364,[2_1|2]), (364,365,[3_1|2]), (365,366,[1_1|2]), (366,367,[0_1|2]), (367,368,[0_1|2]), (368,369,[3_1|2]), (369,370,[4_1|2]), (370,127,[0_1|2]), (370,308,[0_1|2]), (370,335,[0_1|2]), (370,371,[0_1|2]), (370,299,[4_1|2]), (370,317,[4_1|2]), (370,326,[4_1|2]), (371,372,[4_1|2]), (372,373,[3_1|2]), (373,374,[0_1|2]), (374,375,[0_1|2]), (375,376,[1_1|2]), (376,377,[5_1|2]), (377,378,[4_1|2]), (378,379,[3_1|2]), (379,127,[2_1|2]), (379,155,[2_1|2]), (379,191,[2_1|2, 3_1|2]), (379,209,[2_1|2, 3_1|2]), (379,218,[2_1|2, 3_1|2]), (379,254,[2_1|2, 3_1|2]), (379,263,[2_1|2]), (379,272,[2_1|2]), (379,290,[2_1|2]), (379,353,[2_1|2]), (379,336,[2_1|2]), (379,200,[4_1|2]), (379,227,[2_1|2]), (379,236,[1_1|2]), (379,245,[1_1|2]), (380,381,[0_1|3]), (381,382,[3_1|3]), (382,383,[3_1|3]), (383,384,[5_1|3]), (384,385,[4_1|3]), (385,386,[5_1|3]), (386,387,[1_1|3]), (387,388,[4_1|3]), (388,308,[3_1|3]), (388,335,[3_1|3]), (388,371,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)