/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 33 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 83 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(0(0(1(0(2(0(2(1(2(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(1(0(0(0(1(0(1(1(0(x1))))))))))))))))) 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(1(2(0(2(0(0(2(1(0(x1))))))))))))))))) 0(1(0(1(0(0(1(0(0(2(1(2(0(x1))))))))))))) -> 0(1(0(2(0(0(2(1(0(0(0(0(0(1(0(0(0(x1))))))))))))))))) 0(1(2(0(2(0(1(1(1(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(0(2(2(2(0(0(0(0(x1))))))))))))))))) 0(1(2(1(1(0(0(2(2(1(0(2(2(x1))))))))))))) -> 1(0(0(2(1(0(0(2(0(0(0(2(0(2(2(2(2(x1))))))))))))))))) 0(1(2(2(0(0(2(0(0(0(2(0(2(x1))))))))))))) -> 2(1(0(0(0(2(1(1(0(2(0(1(0(2(1(0(2(x1))))))))))))))))) 0(2(0(1(0(1(1(0(1(2(0(0(1(x1))))))))))))) -> 0(1(1(0(0(0(2(1(1(1(0(2(0(0(2(0(1(x1))))))))))))))))) 1(0(0(1(0(2(2(0(0(1(2(0(0(x1))))))))))))) -> 0(0(0(0(0(1(0(1(0(1(1(0(1(0(0(2(0(x1))))))))))))))))) 1(0(1(1(1(2(2(2(2(1(0(0(0(x1))))))))))))) -> 2(1(0(0(1(0(1(0(2(2(1(1(0(0(2(2(2(x1))))))))))))))))) 1(1(0(0(1(0(0(0(0(1(1(1(2(x1))))))))))))) -> 1(1(0(2(1(0(0(2(1(0(1(0(0(2(0(1(2(x1))))))))))))))))) 1(1(2(0(1(0(2(1(2(0(1(0(2(x1))))))))))))) -> 1(1(2(1(0(1(0(2(1(1(1(0(1(0(2(0(2(x1))))))))))))))))) 1(1(2(2(1(1(2(1(0(0(1(0(2(x1))))))))))))) -> 0(0(2(0(2(0(0(0(2(0(0(2(0(0(2(2(2(x1))))))))))))))))) 2(0(0(0(1(1(2(1(0(2(2(0(0(x1))))))))))))) -> 1(1(0(2(0(1(0(2(2(1(1(1(0(2(2(0(0(x1))))))))))))))))) 2(0(0(1(1(2(2(1(0(2(2(2(2(x1))))))))))))) -> 1(0(2(2(1(0(1(2(1(0(1(0(0(2(0(2(0(x1))))))))))))))))) 2(0(0(2(1(2(1(1(0(1(0(0(2(x1))))))))))))) -> 2(1(1(1(1(0(2(0(1(0(1(0(2(1(0(0(2(x1))))))))))))))))) 2(1(1(2(2(0(2(1(0(0(0(1(0(x1))))))))))))) -> 1(1(2(0(0(2(0(0(1(0(0(2(0(0(0(1(0(x1))))))))))))))))) 2(1(2(1(1(2(1(0(0(1(0(1(0(x1))))))))))))) -> 2(2(1(1(1(0(0(0(0(1(0(0(2(2(0(1(0(x1))))))))))))))))) 2(1(2(2(0(2(1(0(2(0(2(1(0(x1))))))))))))) -> 1(0(1(2(0(0(2(0(0(2(1(0(2(1(0(0(0(x1))))))))))))))))) 2(2(0(1(1(1(1(0(1(0(1(2(0(x1))))))))))))) -> 0(1(1(0(1(1(0(0(2(2(0(1(1(0(1(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_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)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(0(0(1(0(2(0(2(1(2(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(1(0(0(0(1(0(1(1(0(x1))))))))))))))))) 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(1(2(0(2(0(0(2(1(0(x1))))))))))))))))) 0(1(0(1(0(0(1(0(0(2(1(2(0(x1))))))))))))) -> 0(1(0(2(0(0(2(1(0(0(0(0(0(1(0(0(0(x1))))))))))))))))) 0(1(2(0(2(0(1(1(1(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(0(2(2(2(0(0(0(0(x1))))))))))))))))) 0(1(2(1(1(0(0(2(2(1(0(2(2(x1))))))))))))) -> 1(0(0(2(1(0(0(2(0(0(0(2(0(2(2(2(2(x1))))))))))))))))) 0(1(2(2(0(0(2(0(0(0(2(0(2(x1))))))))))))) -> 2(1(0(0(0(2(1(1(0(2(0(1(0(2(1(0(2(x1))))))))))))))))) 0(2(0(1(0(1(1(0(1(2(0(0(1(x1))))))))))))) -> 0(1(1(0(0(0(2(1(1(1(0(2(0(0(2(0(1(x1))))))))))))))))) 1(0(0(1(0(2(2(0(0(1(2(0(0(x1))))))))))))) -> 0(0(0(0(0(1(0(1(0(1(1(0(1(0(0(2(0(x1))))))))))))))))) 1(0(1(1(1(2(2(2(2(1(0(0(0(x1))))))))))))) -> 2(1(0(0(1(0(1(0(2(2(1(1(0(0(2(2(2(x1))))))))))))))))) 1(1(0(0(1(0(0(0(0(1(1(1(2(x1))))))))))))) -> 1(1(0(2(1(0(0(2(1(0(1(0(0(2(0(1(2(x1))))))))))))))))) 1(1(2(0(1(0(2(1(2(0(1(0(2(x1))))))))))))) -> 1(1(2(1(0(1(0(2(1(1(1(0(1(0(2(0(2(x1))))))))))))))))) 1(1(2(2(1(1(2(1(0(0(1(0(2(x1))))))))))))) -> 0(0(2(0(2(0(0(0(2(0(0(2(0(0(2(2(2(x1))))))))))))))))) 2(0(0(0(1(1(2(1(0(2(2(0(0(x1))))))))))))) -> 1(1(0(2(0(1(0(2(2(1(1(1(0(2(2(0(0(x1))))))))))))))))) 2(0(0(1(1(2(2(1(0(2(2(2(2(x1))))))))))))) -> 1(0(2(2(1(0(1(2(1(0(1(0(0(2(0(2(0(x1))))))))))))))))) 2(0(0(2(1(2(1(1(0(1(0(0(2(x1))))))))))))) -> 2(1(1(1(1(0(2(0(1(0(1(0(2(1(0(0(2(x1))))))))))))))))) 2(1(1(2(2(0(2(1(0(0(0(1(0(x1))))))))))))) -> 1(1(2(0(0(2(0(0(1(0(0(2(0(0(0(1(0(x1))))))))))))))))) 2(1(2(1(1(2(1(0(0(1(0(1(0(x1))))))))))))) -> 2(2(1(1(1(0(0(0(0(1(0(0(2(2(0(1(0(x1))))))))))))))))) 2(1(2(2(0(2(1(0(2(0(2(1(0(x1))))))))))))) -> 1(0(1(2(0(0(2(0(0(2(1(0(2(1(0(0(0(x1))))))))))))))))) 2(2(0(1(1(1(1(0(1(0(1(2(0(x1))))))))))))) -> 0(1(1(0(1(1(0(0(2(2(0(1(1(0(1(0(0(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)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(0(0(1(0(2(0(2(1(2(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(1(0(0(0(1(0(1(1(0(x1))))))))))))))))) 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(1(2(0(2(0(0(2(1(0(x1))))))))))))))))) 0(1(0(1(0(0(1(0(0(2(1(2(0(x1))))))))))))) -> 0(1(0(2(0(0(2(1(0(0(0(0(0(1(0(0(0(x1))))))))))))))))) 0(1(2(0(2(0(1(1(1(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(0(2(2(2(0(0(0(0(x1))))))))))))))))) 0(1(2(1(1(0(0(2(2(1(0(2(2(x1))))))))))))) -> 1(0(0(2(1(0(0(2(0(0(0(2(0(2(2(2(2(x1))))))))))))))))) 0(1(2(2(0(0(2(0(0(0(2(0(2(x1))))))))))))) -> 2(1(0(0(0(2(1(1(0(2(0(1(0(2(1(0(2(x1))))))))))))))))) 0(2(0(1(0(1(1(0(1(2(0(0(1(x1))))))))))))) -> 0(1(1(0(0(0(2(1(1(1(0(2(0(0(2(0(1(x1))))))))))))))))) 1(0(0(1(0(2(2(0(0(1(2(0(0(x1))))))))))))) -> 0(0(0(0(0(1(0(1(0(1(1(0(1(0(0(2(0(x1))))))))))))))))) 1(0(1(1(1(2(2(2(2(1(0(0(0(x1))))))))))))) -> 2(1(0(0(1(0(1(0(2(2(1(1(0(0(2(2(2(x1))))))))))))))))) 1(1(0(0(1(0(0(0(0(1(1(1(2(x1))))))))))))) -> 1(1(0(2(1(0(0(2(1(0(1(0(0(2(0(1(2(x1))))))))))))))))) 1(1(2(0(1(0(2(1(2(0(1(0(2(x1))))))))))))) -> 1(1(2(1(0(1(0(2(1(1(1(0(1(0(2(0(2(x1))))))))))))))))) 1(1(2(2(1(1(2(1(0(0(1(0(2(x1))))))))))))) -> 0(0(2(0(2(0(0(0(2(0(0(2(0(0(2(2(2(x1))))))))))))))))) 2(0(0(0(1(1(2(1(0(2(2(0(0(x1))))))))))))) -> 1(1(0(2(0(1(0(2(2(1(1(1(0(2(2(0(0(x1))))))))))))))))) 2(0(0(1(1(2(2(1(0(2(2(2(2(x1))))))))))))) -> 1(0(2(2(1(0(1(2(1(0(1(0(0(2(0(2(0(x1))))))))))))))))) 2(0(0(2(1(2(1(1(0(1(0(0(2(x1))))))))))))) -> 2(1(1(1(1(0(2(0(1(0(1(0(2(1(0(0(2(x1))))))))))))))))) 2(1(1(2(2(0(2(1(0(0(0(1(0(x1))))))))))))) -> 1(1(2(0(0(2(0(0(1(0(0(2(0(0(0(1(0(x1))))))))))))))))) 2(1(2(1(1(2(1(0(0(1(0(1(0(x1))))))))))))) -> 2(2(1(1(1(0(0(0(0(1(0(0(2(2(0(1(0(x1))))))))))))))))) 2(1(2(2(0(2(1(0(2(0(2(1(0(x1))))))))))))) -> 1(0(1(2(0(0(2(0(0(2(1(0(2(1(0(0(0(x1))))))))))))))))) 2(2(0(1(1(1(1(0(1(0(1(2(0(x1))))))))))))) -> 0(1(1(0(1(1(0(0(2(2(0(1(1(0(1(0(0(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)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(0(0(1(0(2(0(2(1(2(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(1(0(0(0(1(0(1(1(0(x1))))))))))))))))) 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(1(2(0(2(0(0(2(1(0(x1))))))))))))))))) 0(1(0(1(0(0(1(0(0(2(1(2(0(x1))))))))))))) -> 0(1(0(2(0(0(2(1(0(0(0(0(0(1(0(0(0(x1))))))))))))))))) 0(1(2(0(2(0(1(1(1(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(0(2(2(2(0(0(0(0(x1))))))))))))))))) 0(1(2(1(1(0(0(2(2(1(0(2(2(x1))))))))))))) -> 1(0(0(2(1(0(0(2(0(0(0(2(0(2(2(2(2(x1))))))))))))))))) 0(1(2(2(0(0(2(0(0(0(2(0(2(x1))))))))))))) -> 2(1(0(0(0(2(1(1(0(2(0(1(0(2(1(0(2(x1))))))))))))))))) 0(2(0(1(0(1(1(0(1(2(0(0(1(x1))))))))))))) -> 0(1(1(0(0(0(2(1(1(1(0(2(0(0(2(0(1(x1))))))))))))))))) 1(0(0(1(0(2(2(0(0(1(2(0(0(x1))))))))))))) -> 0(0(0(0(0(1(0(1(0(1(1(0(1(0(0(2(0(x1))))))))))))))))) 1(0(1(1(1(2(2(2(2(1(0(0(0(x1))))))))))))) -> 2(1(0(0(1(0(1(0(2(2(1(1(0(0(2(2(2(x1))))))))))))))))) 1(1(0(0(1(0(0(0(0(1(1(1(2(x1))))))))))))) -> 1(1(0(2(1(0(0(2(1(0(1(0(0(2(0(1(2(x1))))))))))))))))) 1(1(2(0(1(0(2(1(2(0(1(0(2(x1))))))))))))) -> 1(1(2(1(0(1(0(2(1(1(1(0(1(0(2(0(2(x1))))))))))))))))) 1(1(2(2(1(1(2(1(0(0(1(0(2(x1))))))))))))) -> 0(0(2(0(2(0(0(0(2(0(0(2(0(0(2(2(2(x1))))))))))))))))) 2(0(0(0(1(1(2(1(0(2(2(0(0(x1))))))))))))) -> 1(1(0(2(0(1(0(2(2(1(1(1(0(2(2(0(0(x1))))))))))))))))) 2(0(0(1(1(2(2(1(0(2(2(2(2(x1))))))))))))) -> 1(0(2(2(1(0(1(2(1(0(1(0(0(2(0(2(0(x1))))))))))))))))) 2(0(0(2(1(2(1(1(0(1(0(0(2(x1))))))))))))) -> 2(1(1(1(1(0(2(0(1(0(1(0(2(1(0(0(2(x1))))))))))))))))) 2(1(1(2(2(0(2(1(0(0(0(1(0(x1))))))))))))) -> 1(1(2(0(0(2(0(0(1(0(0(2(0(0(0(1(0(x1))))))))))))))))) 2(1(2(1(1(2(1(0(0(1(0(1(0(x1))))))))))))) -> 2(2(1(1(1(0(0(0(0(1(0(0(2(2(0(1(0(x1))))))))))))))))) 2(1(2(2(0(2(1(0(2(0(2(1(0(x1))))))))))))) -> 1(0(1(2(0(0(2(0(0(2(1(0(2(1(0(0(0(x1))))))))))))))))) 2(2(0(1(1(1(1(0(1(0(1(2(0(x1))))))))))))) -> 0(1(1(0(1(1(0(0(2(2(0(1(1(0(1(0(0(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)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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 2. The certificate found is represented by the following graph. "[61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 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, 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] {(61,62,[0_1|0, 1_1|0, 2_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0]), (61,63,[0_1|1, 1_1|1, 2_1|1]), (61,64,[0_1|2]), (61,80,[1_1|2]), (61,96,[0_1|2]), (61,112,[0_1|2]), (61,128,[1_1|2]), (61,144,[2_1|2]), (61,160,[0_1|2]), (61,176,[0_1|2]), (61,192,[2_1|2]), (61,208,[1_1|2]), (61,224,[1_1|2]), (61,240,[0_1|2]), (61,256,[1_1|2]), (61,272,[1_1|2]), (61,288,[2_1|2]), (61,304,[1_1|2]), (61,320,[2_1|2]), (61,336,[1_1|2]), (61,352,[0_1|2]), (62,62,[cons_0_1|0, cons_1_1|0, cons_2_1|0]), (63,62,[encArg_1|1]), (63,63,[0_1|1, 1_1|1, 2_1|1]), (63,64,[0_1|2]), (63,80,[1_1|2]), (63,96,[0_1|2]), (63,112,[0_1|2]), (63,128,[1_1|2]), (63,144,[2_1|2]), (63,160,[0_1|2]), (63,176,[0_1|2]), (63,192,[2_1|2]), (63,208,[1_1|2]), (63,224,[1_1|2]), (63,240,[0_1|2]), (63,256,[1_1|2]), (63,272,[1_1|2]), (63,288,[2_1|2]), (63,304,[1_1|2]), (63,320,[2_1|2]), (63,336,[1_1|2]), (63,352,[0_1|2]), (64,65,[0_1|2]), (65,66,[1_1|2]), (66,67,[0_1|2]), (67,68,[1_1|2]), (68,69,[1_1|2]), (69,70,[0_1|2]), (70,71,[2_1|2]), (71,72,[1_1|2]), (72,73,[0_1|2]), (73,74,[0_1|2]), (74,75,[0_1|2]), (75,76,[1_1|2]), (76,77,[0_1|2]), (77,78,[1_1|2]), (77,208,[1_1|2]), (78,79,[1_1|2]), (78,176,[0_1|2]), (78,192,[2_1|2]), (79,63,[0_1|2]), (79,144,[0_1|2, 2_1|2]), (79,192,[0_1|2]), (79,288,[0_1|2]), (79,320,[0_1|2]), (79,321,[0_1|2]), (79,64,[0_1|2]), (79,80,[1_1|2]), (79,96,[0_1|2]), (79,112,[0_1|2]), (79,128,[1_1|2]), (79,160,[0_1|2]), (80,81,[0_1|2]), (81,82,[0_1|2]), (82,83,[2_1|2]), (83,84,[2_1|2]), (84,85,[2_1|2]), (85,86,[2_1|2]), (86,87,[1_1|2]), (87,88,[1_1|2]), (88,89,[2_1|2]), (89,90,[0_1|2]), (90,91,[2_1|2]), (91,92,[0_1|2]), (92,93,[0_1|2]), (93,94,[2_1|2]), (94,95,[1_1|2]), (94,176,[0_1|2]), (94,192,[2_1|2]), (95,63,[0_1|2]), (95,64,[0_1|2]), (95,96,[0_1|2]), (95,112,[0_1|2]), (95,160,[0_1|2]), (95,176,[0_1|2]), (95,240,[0_1|2]), (95,352,[0_1|2]), (95,65,[0_1|2]), (95,113,[0_1|2]), (95,177,[0_1|2]), (95,241,[0_1|2]), (95,114,[0_1|2]), (95,178,[0_1|2]), (95,80,[1_1|2]), (95,128,[1_1|2]), (95,144,[2_1|2]), (96,97,[1_1|2]), (97,98,[0_1|2]), (98,99,[2_1|2]), (99,100,[0_1|2]), (100,101,[0_1|2]), (101,102,[2_1|2]), (102,103,[1_1|2]), (103,104,[0_1|2]), (104,105,[0_1|2]), (105,106,[0_1|2]), (106,107,[0_1|2]), (107,108,[0_1|2]), (108,109,[1_1|2]), (109,110,[0_1|2]), (109,64,[0_1|2]), (109,80,[1_1|2]), (110,111,[0_1|2]), (110,64,[0_1|2]), (110,80,[1_1|2]), (111,63,[0_1|2]), (111,64,[0_1|2]), (111,96,[0_1|2]), (111,112,[0_1|2]), (111,160,[0_1|2]), (111,176,[0_1|2]), (111,240,[0_1|2]), (111,352,[0_1|2]), (111,80,[1_1|2]), (111,128,[1_1|2]), (111,144,[2_1|2]), (112,113,[0_1|2]), (113,114,[0_1|2]), (114,115,[0_1|2]), (115,116,[0_1|2]), (116,117,[2_1|2]), (117,118,[0_1|2]), (118,119,[2_1|2]), (119,120,[2_1|2]), (120,121,[0_1|2]), (121,122,[2_1|2]), (122,123,[2_1|2]), (123,124,[2_1|2]), (124,125,[0_1|2]), (125,126,[0_1|2]), (125,64,[0_1|2]), (125,80,[1_1|2]), (126,127,[0_1|2]), (126,64,[0_1|2]), (126,80,[1_1|2]), (127,63,[0_1|2]), (127,144,[0_1|2, 2_1|2]), (127,192,[0_1|2]), (127,288,[0_1|2]), (127,320,[0_1|2]), (127,242,[0_1|2]), (127,83,[0_1|2]), (127,131,[0_1|2]), (127,64,[0_1|2]), (127,80,[1_1|2]), (127,96,[0_1|2]), (127,112,[0_1|2]), (127,128,[1_1|2]), (127,160,[0_1|2]), (128,129,[0_1|2]), (129,130,[0_1|2]), (130,131,[2_1|2]), (131,132,[1_1|2]), (132,133,[0_1|2]), (133,134,[0_1|2]), (134,135,[2_1|2]), (135,136,[0_1|2]), (136,137,[0_1|2]), (137,138,[0_1|2]), (138,139,[2_1|2]), (139,140,[0_1|2]), (140,141,[2_1|2]), (141,142,[2_1|2]), (142,143,[2_1|2]), (142,352,[0_1|2]), (143,63,[2_1|2]), (143,144,[2_1|2]), (143,192,[2_1|2]), (143,288,[2_1|2]), (143,320,[2_1|2]), (143,321,[2_1|2]), (143,275,[2_1|2]), (143,256,[1_1|2]), (143,272,[1_1|2]), (143,304,[1_1|2]), (143,336,[1_1|2]), (143,352,[0_1|2]), (144,145,[1_1|2]), (145,146,[0_1|2]), (146,147,[0_1|2]), (147,148,[0_1|2]), (148,149,[2_1|2]), (149,150,[1_1|2]), (150,151,[1_1|2]), (151,152,[0_1|2]), (152,153,[2_1|2]), (153,154,[0_1|2]), (154,155,[1_1|2]), (155,156,[0_1|2]), (156,157,[2_1|2]), (157,158,[1_1|2]), (158,159,[0_1|2]), (158,160,[0_1|2]), (159,63,[2_1|2]), (159,144,[2_1|2]), (159,192,[2_1|2]), (159,288,[2_1|2]), (159,320,[2_1|2]), (159,244,[2_1|2]), (159,256,[1_1|2]), (159,272,[1_1|2]), (159,304,[1_1|2]), (159,336,[1_1|2]), (159,352,[0_1|2]), (160,161,[1_1|2]), (161,162,[1_1|2]), (162,163,[0_1|2]), (163,164,[0_1|2]), (164,165,[0_1|2]), (165,166,[2_1|2]), (166,167,[1_1|2]), (167,168,[1_1|2]), (168,169,[1_1|2]), (169,170,[0_1|2]), (170,171,[2_1|2]), (171,172,[0_1|2]), (172,173,[0_1|2]), (172,160,[0_1|2]), (173,174,[2_1|2]), (174,175,[0_1|2]), (174,96,[0_1|2]), (174,112,[0_1|2]), (174,128,[1_1|2]), (174,144,[2_1|2]), (175,63,[1_1|2]), (175,80,[1_1|2]), (175,128,[1_1|2]), (175,208,[1_1|2]), (175,224,[1_1|2]), (175,256,[1_1|2]), (175,272,[1_1|2]), (175,304,[1_1|2]), (175,336,[1_1|2]), (175,97,[1_1|2]), (175,161,[1_1|2]), (175,353,[1_1|2]), (175,66,[1_1|2]), (175,176,[0_1|2]), (175,192,[2_1|2]), (175,240,[0_1|2]), (176,177,[0_1|2]), (177,178,[0_1|2]), (178,179,[0_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,183,[1_1|2]), (183,184,[0_1|2]), (184,185,[1_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[1_1|2]), (188,189,[0_1|2]), (189,190,[0_1|2]), (189,160,[0_1|2]), (190,191,[2_1|2]), (190,256,[1_1|2]), (190,272,[1_1|2]), (190,288,[2_1|2]), (191,63,[0_1|2]), (191,64,[0_1|2]), (191,96,[0_1|2]), (191,112,[0_1|2]), (191,160,[0_1|2]), (191,176,[0_1|2]), (191,240,[0_1|2]), (191,352,[0_1|2]), (191,65,[0_1|2]), (191,113,[0_1|2]), (191,177,[0_1|2]), (191,241,[0_1|2]), (191,80,[1_1|2]), (191,128,[1_1|2]), (191,144,[2_1|2]), (192,193,[1_1|2]), (193,194,[0_1|2]), (194,195,[0_1|2]), (195,196,[1_1|2]), (196,197,[0_1|2]), (197,198,[1_1|2]), (198,199,[0_1|2]), (199,200,[2_1|2]), (200,201,[2_1|2]), (201,202,[1_1|2]), (202,203,[1_1|2]), (203,204,[0_1|2]), (204,205,[0_1|2]), (205,206,[2_1|2]), (206,207,[2_1|2]), (206,352,[0_1|2]), (207,63,[2_1|2]), (207,64,[2_1|2]), (207,96,[2_1|2]), (207,112,[2_1|2]), (207,160,[2_1|2]), (207,176,[2_1|2]), (207,240,[2_1|2]), (207,352,[2_1|2, 0_1|2]), (207,65,[2_1|2]), (207,113,[2_1|2]), (207,177,[2_1|2]), (207,241,[2_1|2]), (207,114,[2_1|2]), (207,178,[2_1|2]), (207,148,[2_1|2]), (207,256,[1_1|2]), (207,272,[1_1|2]), (207,288,[2_1|2]), (207,304,[1_1|2]), (207,320,[2_1|2]), (207,336,[1_1|2]), (208,209,[1_1|2]), (209,210,[0_1|2]), (210,211,[2_1|2]), (211,212,[1_1|2]), (212,213,[0_1|2]), (213,214,[0_1|2]), (214,215,[2_1|2]), (215,216,[1_1|2]), (216,217,[0_1|2]), (217,218,[1_1|2]), (218,219,[0_1|2]), (219,220,[0_1|2]), (220,221,[2_1|2]), (221,222,[0_1|2]), (221,112,[0_1|2]), (221,128,[1_1|2]), (221,144,[2_1|2]), (222,223,[1_1|2]), (223,63,[2_1|2]), (223,144,[2_1|2]), (223,192,[2_1|2]), (223,288,[2_1|2]), (223,320,[2_1|2]), (223,226,[2_1|2]), (223,306,[2_1|2]), (223,256,[1_1|2]), (223,272,[1_1|2]), (223,304,[1_1|2]), (223,336,[1_1|2]), (223,352,[0_1|2]), (224,225,[1_1|2]), (225,226,[2_1|2]), (226,227,[1_1|2]), (227,228,[0_1|2]), (228,229,[1_1|2]), (229,230,[0_1|2]), (230,231,[2_1|2]), (231,232,[1_1|2]), (232,233,[1_1|2]), (233,234,[1_1|2]), (234,235,[0_1|2]), (235,236,[1_1|2]), (236,237,[0_1|2]), (237,238,[2_1|2]), (238,239,[0_1|2]), (238,160,[0_1|2]), (239,63,[2_1|2]), (239,144,[2_1|2]), (239,192,[2_1|2]), (239,288,[2_1|2]), (239,320,[2_1|2]), (239,274,[2_1|2]), (239,99,[2_1|2]), (239,256,[1_1|2]), (239,272,[1_1|2]), (239,304,[1_1|2]), (239,336,[1_1|2]), (239,352,[0_1|2]), (240,241,[0_1|2]), (241,242,[2_1|2]), (242,243,[0_1|2]), (243,244,[2_1|2]), (244,245,[0_1|2]), (245,246,[0_1|2]), (246,247,[0_1|2]), (247,248,[2_1|2]), (248,249,[0_1|2]), (249,250,[0_1|2]), (250,251,[2_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (253,254,[2_1|2]), (254,255,[2_1|2]), (254,352,[0_1|2]), (255,63,[2_1|2]), (255,144,[2_1|2]), (255,192,[2_1|2]), (255,288,[2_1|2]), (255,320,[2_1|2]), (255,274,[2_1|2]), (255,99,[2_1|2]), (255,256,[1_1|2]), (255,272,[1_1|2]), (255,304,[1_1|2]), (255,336,[1_1|2]), (255,352,[0_1|2]), (256,257,[1_1|2]), (257,258,[0_1|2]), (258,259,[2_1|2]), (259,260,[0_1|2]), (260,261,[1_1|2]), (261,262,[0_1|2]), (262,263,[2_1|2]), (263,264,[2_1|2]), (264,265,[1_1|2]), (265,266,[1_1|2]), (266,267,[1_1|2]), (267,268,[0_1|2]), (268,269,[2_1|2]), (269,270,[2_1|2]), (269,256,[1_1|2]), (269,272,[1_1|2]), (269,288,[2_1|2]), (270,271,[0_1|2]), (270,64,[0_1|2]), (270,80,[1_1|2]), (271,63,[0_1|2]), (271,64,[0_1|2]), (271,96,[0_1|2]), (271,112,[0_1|2]), (271,160,[0_1|2]), (271,176,[0_1|2]), (271,240,[0_1|2]), (271,352,[0_1|2]), (271,65,[0_1|2]), (271,113,[0_1|2]), (271,177,[0_1|2]), (271,241,[0_1|2]), (271,80,[1_1|2]), (271,128,[1_1|2]), (271,144,[2_1|2]), (272,273,[0_1|2]), (273,274,[2_1|2]), (274,275,[2_1|2]), (275,276,[1_1|2]), (276,277,[0_1|2]), (277,278,[1_1|2]), (278,279,[2_1|2]), (279,280,[1_1|2]), (280,281,[0_1|2]), (281,282,[1_1|2]), (282,283,[0_1|2]), (283,284,[0_1|2]), (284,285,[2_1|2]), (285,286,[0_1|2]), (285,160,[0_1|2]), (286,287,[2_1|2]), (286,256,[1_1|2]), (286,272,[1_1|2]), (286,288,[2_1|2]), (287,63,[0_1|2]), (287,144,[0_1|2, 2_1|2]), (287,192,[0_1|2]), (287,288,[0_1|2]), (287,320,[0_1|2]), (287,321,[0_1|2]), (287,64,[0_1|2]), (287,80,[1_1|2]), (287,96,[0_1|2]), (287,112,[0_1|2]), (287,128,[1_1|2]), (287,160,[0_1|2]), (288,289,[1_1|2]), (289,290,[1_1|2]), (290,291,[1_1|2]), (291,292,[1_1|2]), (292,293,[0_1|2]), (293,294,[2_1|2]), (294,295,[0_1|2]), (295,296,[1_1|2]), (296,297,[0_1|2]), (297,298,[1_1|2]), (298,299,[0_1|2]), (299,300,[2_1|2]), (300,301,[1_1|2]), (301,302,[0_1|2]), (302,303,[0_1|2]), (302,160,[0_1|2]), (303,63,[2_1|2]), (303,144,[2_1|2]), (303,192,[2_1|2]), (303,288,[2_1|2]), (303,320,[2_1|2]), (303,242,[2_1|2]), (303,83,[2_1|2]), (303,131,[2_1|2]), (303,256,[1_1|2]), (303,272,[1_1|2]), (303,304,[1_1|2]), (303,336,[1_1|2]), (303,352,[0_1|2]), (304,305,[1_1|2]), (305,306,[2_1|2]), (306,307,[0_1|2]), (307,308,[0_1|2]), (308,309,[2_1|2]), (309,310,[0_1|2]), (310,311,[0_1|2]), (311,312,[1_1|2]), (312,313,[0_1|2]), (313,314,[0_1|2]), (314,315,[2_1|2]), (315,316,[0_1|2]), (315,64,[0_1|2]), (316,317,[0_1|2]), (317,318,[0_1|2]), (317,96,[0_1|2]), (318,319,[1_1|2]), (318,176,[0_1|2]), (318,192,[2_1|2]), (319,63,[0_1|2]), (319,64,[0_1|2]), (319,96,[0_1|2]), (319,112,[0_1|2]), (319,160,[0_1|2]), (319,176,[0_1|2]), (319,240,[0_1|2]), (319,352,[0_1|2]), (319,81,[0_1|2]), (319,129,[0_1|2]), (319,273,[0_1|2]), (319,337,[0_1|2]), (319,98,[0_1|2]), (319,67,[0_1|2]), (319,80,[1_1|2]), (319,128,[1_1|2]), (319,144,[2_1|2]), (320,321,[2_1|2]), (321,322,[1_1|2]), (322,323,[1_1|2]), (323,324,[1_1|2]), (324,325,[0_1|2]), (325,326,[0_1|2]), (326,327,[0_1|2]), (327,328,[0_1|2]), (328,329,[1_1|2]), (329,330,[0_1|2]), (330,331,[0_1|2]), (331,332,[2_1|2]), (332,333,[2_1|2]), (333,334,[0_1|2]), (333,96,[0_1|2]), (334,335,[1_1|2]), (334,176,[0_1|2]), (334,192,[2_1|2]), (335,63,[0_1|2]), (335,64,[0_1|2]), (335,96,[0_1|2]), (335,112,[0_1|2]), (335,160,[0_1|2]), (335,176,[0_1|2]), (335,240,[0_1|2]), (335,352,[0_1|2]), (335,81,[0_1|2]), (335,129,[0_1|2]), (335,273,[0_1|2]), (335,337,[0_1|2]), (335,98,[0_1|2]), (335,199,[0_1|2]), (335,80,[1_1|2]), (335,128,[1_1|2]), (335,144,[2_1|2]), (336,337,[0_1|2]), (337,338,[1_1|2]), (338,339,[2_1|2]), (339,340,[0_1|2]), (340,341,[0_1|2]), (341,342,[2_1|2]), (342,343,[0_1|2]), (343,344,[0_1|2]), (344,345,[2_1|2]), (345,346,[1_1|2]), (346,347,[0_1|2]), (347,348,[2_1|2]), (348,349,[1_1|2]), (349,350,[0_1|2]), (349,64,[0_1|2]), (349,80,[1_1|2]), (350,351,[0_1|2]), (350,64,[0_1|2]), (350,80,[1_1|2]), (351,63,[0_1|2]), (351,64,[0_1|2]), (351,96,[0_1|2]), (351,112,[0_1|2]), (351,160,[0_1|2]), (351,176,[0_1|2]), (351,240,[0_1|2]), (351,352,[0_1|2]), (351,81,[0_1|2]), (351,129,[0_1|2]), (351,273,[0_1|2]), (351,337,[0_1|2]), (351,146,[0_1|2]), (351,194,[0_1|2]), (351,80,[1_1|2]), (351,128,[1_1|2]), (351,144,[2_1|2]), (352,353,[1_1|2]), (353,354,[1_1|2]), (354,355,[0_1|2]), (355,356,[1_1|2]), (356,357,[1_1|2]), (357,358,[0_1|2]), (358,359,[0_1|2]), (359,360,[2_1|2]), (360,361,[2_1|2]), (361,362,[0_1|2]), (362,363,[1_1|2]), (363,364,[1_1|2]), (364,365,[0_1|2]), (365,366,[1_1|2]), (365,176,[0_1|2]), (366,367,[0_1|2]), (366,64,[0_1|2]), (366,80,[1_1|2]), (367,63,[0_1|2]), (367,64,[0_1|2]), (367,96,[0_1|2]), (367,112,[0_1|2]), (367,160,[0_1|2]), (367,176,[0_1|2]), (367,240,[0_1|2]), (367,352,[0_1|2]), (367,340,[0_1|2]), (367,80,[1_1|2]), (367,128,[1_1|2]), (367,144,[2_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)