/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 38 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 59 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(2(1(1(1(0(0(1(0(1(x1))))))))))))) -> 0(0(1(0(1(1(0(2(0(0(2(0(1(0(1(0(1(x1))))))))))))))))) 0(0(1(0(0(1(1(1(0(1(2(0(1(x1))))))))))))) -> 0(1(1(0(0(1(0(1(1(1(1(0(2(0(1(1(1(x1))))))))))))))))) 0(0(1(0(1(0(1(0(0(1(0(2(0(x1))))))))))))) -> 0(1(1(1(0(1(1(2(1(2(0(1(1(1(0(1(1(x1))))))))))))))))) 0(0(1(1(1(1(1(2(1(1(2(1(1(x1))))))))))))) -> 0(1(2(0(1(0(0(1(2(1(0(0(1(0(1(1(1(x1))))))))))))))))) 0(1(0(2(0(2(1(0(0(1(0(1(1(x1))))))))))))) -> 0(0(0(1(1(1(1(1(0(2(2(0(1(1(1(0(1(x1))))))))))))))))) 0(1(0(2(2(1(1(2(1(2(2(0(1(x1))))))))))))) -> 0(1(2(2(0(0(1(0(1(0(2(1(0(2(2(0(1(x1))))))))))))))))) 0(1(1(0(1(1(0(1(0(2(1(0(0(x1))))))))))))) -> 0(1(2(0(1(1(0(1(1(1(1(1(0(0(1(0(0(x1))))))))))))))))) 0(1(1(1(2(1(2(0(1(2(1(0(1(x1))))))))))))) -> 0(1(0(1(0(1(1(0(0(1(0(2(0(1(0(0(1(x1))))))))))))))))) 0(2(0(0(1(1(2(0(1(0(1(0(2(x1))))))))))))) -> 0(0(1(2(0(0(1(0(1(0(1(1(0(0(1(1(1(x1))))))))))))))))) 1(0(2(0(0(2(0(1(2(0(1(0(1(x1))))))))))))) -> 1(1(0(0(1(0(2(1(2(0(1(1(1(0(1(1(1(x1))))))))))))))))) 1(0(2(0(2(1(0(2(0(1(1(2(0(x1))))))))))))) -> 1(2(0(2(0(0(1(0(1(0(0(0(1(2(0(1(0(x1))))))))))))))))) 1(1(0(0(2(2(2(0(1(2(0(1(1(x1))))))))))))) -> 1(0(1(1(1(0(0(1(2(0(1(2(0(0(0(0(1(x1))))))))))))))))) 1(2(0(1(0(2(0(1(0(1(2(1(0(x1))))))))))))) -> 1(0(1(1(2(0(1(0(0(1(0(0(1(0(1(2(0(x1))))))))))))))))) 1(2(1(2(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 1(1(1(1(0(2(0(1(1(0(1(1(2(2(0(0(1(x1))))))))))))))))) 2(0(0(0(2(2(0(2(2(0(1(0(1(x1))))))))))))) -> 2(0(0(1(1(2(1(1(2(0(0(1(2(1(2(0(1(x1))))))))))))))))) 2(0(2(1(0(0(1(0(0(0(1(1(1(x1))))))))))))) -> 0(2(1(2(1(0(1(1(1(0(1(0(1(0(0(1(1(x1))))))))))))))))) 2(0(2(1(1(1(1(0(2(0(1(0(1(x1))))))))))))) -> 2(1(2(0(2(0(1(0(1(2(0(1(0(1(1(1(1(x1))))))))))))))))) 2(1(2(2(1(1(2(2(0(1(1(0(1(x1))))))))))))) -> 2(1(1(1(2(0(1(2(2(0(0(0(1(1(1(0(1(x1))))))))))))))))) 2(2(1(1(1(1(0(1(1(2(0(1(0(x1))))))))))))) -> 0(1(0(1(1(1(1(1(2(2(0(1(2(1(1(1(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(2(1(1(1(0(0(1(0(1(x1))))))))))))) -> 0(0(1(0(1(1(0(2(0(0(2(0(1(0(1(0(1(x1))))))))))))))))) 0(0(1(0(0(1(1(1(0(1(2(0(1(x1))))))))))))) -> 0(1(1(0(0(1(0(1(1(1(1(0(2(0(1(1(1(x1))))))))))))))))) 0(0(1(0(1(0(1(0(0(1(0(2(0(x1))))))))))))) -> 0(1(1(1(0(1(1(2(1(2(0(1(1(1(0(1(1(x1))))))))))))))))) 0(0(1(1(1(1(1(2(1(1(2(1(1(x1))))))))))))) -> 0(1(2(0(1(0(0(1(2(1(0(0(1(0(1(1(1(x1))))))))))))))))) 0(1(0(2(0(2(1(0(0(1(0(1(1(x1))))))))))))) -> 0(0(0(1(1(1(1(1(0(2(2(0(1(1(1(0(1(x1))))))))))))))))) 0(1(0(2(2(1(1(2(1(2(2(0(1(x1))))))))))))) -> 0(1(2(2(0(0(1(0(1(0(2(1(0(2(2(0(1(x1))))))))))))))))) 0(1(1(0(1(1(0(1(0(2(1(0(0(x1))))))))))))) -> 0(1(2(0(1(1(0(1(1(1(1(1(0(0(1(0(0(x1))))))))))))))))) 0(1(1(1(2(1(2(0(1(2(1(0(1(x1))))))))))))) -> 0(1(0(1(0(1(1(0(0(1(0(2(0(1(0(0(1(x1))))))))))))))))) 0(2(0(0(1(1(2(0(1(0(1(0(2(x1))))))))))))) -> 0(0(1(2(0(0(1(0(1(0(1(1(0(0(1(1(1(x1))))))))))))))))) 1(0(2(0(0(2(0(1(2(0(1(0(1(x1))))))))))))) -> 1(1(0(0(1(0(2(1(2(0(1(1(1(0(1(1(1(x1))))))))))))))))) 1(0(2(0(2(1(0(2(0(1(1(2(0(x1))))))))))))) -> 1(2(0(2(0(0(1(0(1(0(0(0(1(2(0(1(0(x1))))))))))))))))) 1(1(0(0(2(2(2(0(1(2(0(1(1(x1))))))))))))) -> 1(0(1(1(1(0(0(1(2(0(1(2(0(0(0(0(1(x1))))))))))))))))) 1(2(0(1(0(2(0(1(0(1(2(1(0(x1))))))))))))) -> 1(0(1(1(2(0(1(0(0(1(0(0(1(0(1(2(0(x1))))))))))))))))) 1(2(1(2(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 1(1(1(1(0(2(0(1(1(0(1(1(2(2(0(0(1(x1))))))))))))))))) 2(0(0(0(2(2(0(2(2(0(1(0(1(x1))))))))))))) -> 2(0(0(1(1(2(1(1(2(0(0(1(2(1(2(0(1(x1))))))))))))))))) 2(0(2(1(0(0(1(0(0(0(1(1(1(x1))))))))))))) -> 0(2(1(2(1(0(1(1(1(0(1(0(1(0(0(1(1(x1))))))))))))))))) 2(0(2(1(1(1(1(0(2(0(1(0(1(x1))))))))))))) -> 2(1(2(0(2(0(1(0(1(2(0(1(0(1(1(1(1(x1))))))))))))))))) 2(1(2(2(1(1(2(2(0(1(1(0(1(x1))))))))))))) -> 2(1(1(1(2(0(1(2(2(0(0(0(1(1(1(0(1(x1))))))))))))))))) 2(2(1(1(1(1(0(1(1(2(0(1(0(x1))))))))))))) -> 0(1(0(1(1(1(1(1(2(2(0(1(2(1(1(1(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(2(1(1(1(0(0(1(0(1(x1))))))))))))) -> 0(0(1(0(1(1(0(2(0(0(2(0(1(0(1(0(1(x1))))))))))))))))) 0(0(1(0(0(1(1(1(0(1(2(0(1(x1))))))))))))) -> 0(1(1(0(0(1(0(1(1(1(1(0(2(0(1(1(1(x1))))))))))))))))) 0(0(1(0(1(0(1(0(0(1(0(2(0(x1))))))))))))) -> 0(1(1(1(0(1(1(2(1(2(0(1(1(1(0(1(1(x1))))))))))))))))) 0(0(1(1(1(1(1(2(1(1(2(1(1(x1))))))))))))) -> 0(1(2(0(1(0(0(1(2(1(0(0(1(0(1(1(1(x1))))))))))))))))) 0(1(0(2(0(2(1(0(0(1(0(1(1(x1))))))))))))) -> 0(0(0(1(1(1(1(1(0(2(2(0(1(1(1(0(1(x1))))))))))))))))) 0(1(0(2(2(1(1(2(1(2(2(0(1(x1))))))))))))) -> 0(1(2(2(0(0(1(0(1(0(2(1(0(2(2(0(1(x1))))))))))))))))) 0(1(1(0(1(1(0(1(0(2(1(0(0(x1))))))))))))) -> 0(1(2(0(1(1(0(1(1(1(1(1(0(0(1(0(0(x1))))))))))))))))) 0(1(1(1(2(1(2(0(1(2(1(0(1(x1))))))))))))) -> 0(1(0(1(0(1(1(0(0(1(0(2(0(1(0(0(1(x1))))))))))))))))) 0(2(0(0(1(1(2(0(1(0(1(0(2(x1))))))))))))) -> 0(0(1(2(0(0(1(0(1(0(1(1(0(0(1(1(1(x1))))))))))))))))) 1(0(2(0(0(2(0(1(2(0(1(0(1(x1))))))))))))) -> 1(1(0(0(1(0(2(1(2(0(1(1(1(0(1(1(1(x1))))))))))))))))) 1(0(2(0(2(1(0(2(0(1(1(2(0(x1))))))))))))) -> 1(2(0(2(0(0(1(0(1(0(0(0(1(2(0(1(0(x1))))))))))))))))) 1(1(0(0(2(2(2(0(1(2(0(1(1(x1))))))))))))) -> 1(0(1(1(1(0(0(1(2(0(1(2(0(0(0(0(1(x1))))))))))))))))) 1(2(0(1(0(2(0(1(0(1(2(1(0(x1))))))))))))) -> 1(0(1(1(2(0(1(0(0(1(0(0(1(0(1(2(0(x1))))))))))))))))) 1(2(1(2(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 1(1(1(1(0(2(0(1(1(0(1(1(2(2(0(0(1(x1))))))))))))))))) 2(0(0(0(2(2(0(2(2(0(1(0(1(x1))))))))))))) -> 2(0(0(1(1(2(1(1(2(0(0(1(2(1(2(0(1(x1))))))))))))))))) 2(0(2(1(0(0(1(0(0(0(1(1(1(x1))))))))))))) -> 0(2(1(2(1(0(1(1(1(0(1(0(1(0(0(1(1(x1))))))))))))))))) 2(0(2(1(1(1(1(0(2(0(1(0(1(x1))))))))))))) -> 2(1(2(0(2(0(1(0(1(2(0(1(0(1(1(1(1(x1))))))))))))))))) 2(1(2(2(1(1(2(2(0(1(1(0(1(x1))))))))))))) -> 2(1(1(1(2(0(1(2(2(0(0(0(1(1(1(0(1(x1))))))))))))))))) 2(2(1(1(1(1(0(1(1(2(0(1(0(x1))))))))))))) -> 0(1(0(1(1(1(1(1(2(2(0(1(2(1(1(1(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(2(1(1(1(0(0(1(0(1(x1))))))))))))) -> 0(0(1(0(1(1(0(2(0(0(2(0(1(0(1(0(1(x1))))))))))))))))) 0(0(1(0(0(1(1(1(0(1(2(0(1(x1))))))))))))) -> 0(1(1(0(0(1(0(1(1(1(1(0(2(0(1(1(1(x1))))))))))))))))) 0(0(1(0(1(0(1(0(0(1(0(2(0(x1))))))))))))) -> 0(1(1(1(0(1(1(2(1(2(0(1(1(1(0(1(1(x1))))))))))))))))) 0(0(1(1(1(1(1(2(1(1(2(1(1(x1))))))))))))) -> 0(1(2(0(1(0(0(1(2(1(0(0(1(0(1(1(1(x1))))))))))))))))) 0(1(0(2(0(2(1(0(0(1(0(1(1(x1))))))))))))) -> 0(0(0(1(1(1(1(1(0(2(2(0(1(1(1(0(1(x1))))))))))))))))) 0(1(0(2(2(1(1(2(1(2(2(0(1(x1))))))))))))) -> 0(1(2(2(0(0(1(0(1(0(2(1(0(2(2(0(1(x1))))))))))))))))) 0(1(1(0(1(1(0(1(0(2(1(0(0(x1))))))))))))) -> 0(1(2(0(1(1(0(1(1(1(1(1(0(0(1(0(0(x1))))))))))))))))) 0(1(1(1(2(1(2(0(1(2(1(0(1(x1))))))))))))) -> 0(1(0(1(0(1(1(0(0(1(0(2(0(1(0(0(1(x1))))))))))))))))) 0(2(0(0(1(1(2(0(1(0(1(0(2(x1))))))))))))) -> 0(0(1(2(0(0(1(0(1(0(1(1(0(0(1(1(1(x1))))))))))))))))) 1(0(2(0(0(2(0(1(2(0(1(0(1(x1))))))))))))) -> 1(1(0(0(1(0(2(1(2(0(1(1(1(0(1(1(1(x1))))))))))))))))) 1(0(2(0(2(1(0(2(0(1(1(2(0(x1))))))))))))) -> 1(2(0(2(0(0(1(0(1(0(0(0(1(2(0(1(0(x1))))))))))))))))) 1(1(0(0(2(2(2(0(1(2(0(1(1(x1))))))))))))) -> 1(0(1(1(1(0(0(1(2(0(1(2(0(0(0(0(1(x1))))))))))))))))) 1(2(0(1(0(2(0(1(0(1(2(1(0(x1))))))))))))) -> 1(0(1(1(2(0(1(0(0(1(0(0(1(0(1(2(0(x1))))))))))))))))) 1(2(1(2(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 1(1(1(1(0(2(0(1(1(0(1(1(2(2(0(0(1(x1))))))))))))))))) 2(0(0(0(2(2(0(2(2(0(1(0(1(x1))))))))))))) -> 2(0(0(1(1(2(1(1(2(0(0(1(2(1(2(0(1(x1))))))))))))))))) 2(0(2(1(0(0(1(0(0(0(1(1(1(x1))))))))))))) -> 0(2(1(2(1(0(1(1(1(0(1(0(1(0(0(1(1(x1))))))))))))))))) 2(0(2(1(1(1(1(0(2(0(1(0(1(x1))))))))))))) -> 2(1(2(0(2(0(1(0(1(2(0(1(0(1(1(1(1(x1))))))))))))))))) 2(1(2(2(1(1(2(2(0(1(1(0(1(x1))))))))))))) -> 2(1(1(1(2(0(1(2(2(0(0(0(1(1(1(0(1(x1))))))))))))))))) 2(2(1(1(1(1(0(1(1(2(0(1(0(x1))))))))))))) -> 0(1(0(1(1(1(1(1(2(2(0(1(2(1(1(1(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,[0_1|2]), (61,96,[0_1|2]), (61,112,[0_1|2]), (61,128,[0_1|2]), (61,144,[0_1|2]), (61,160,[0_1|2]), (61,176,[0_1|2]), (61,192,[0_1|2]), (61,208,[1_1|2]), (61,224,[1_1|2]), (61,240,[1_1|2]), (61,256,[1_1|2]), (61,272,[1_1|2]), (61,288,[2_1|2]), (61,304,[0_1|2]), (61,320,[2_1|2]), (61,336,[2_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,[0_1|2]), (63,96,[0_1|2]), (63,112,[0_1|2]), (63,128,[0_1|2]), (63,144,[0_1|2]), (63,160,[0_1|2]), (63,176,[0_1|2]), (63,192,[0_1|2]), (63,208,[1_1|2]), (63,224,[1_1|2]), (63,240,[1_1|2]), (63,256,[1_1|2]), (63,272,[1_1|2]), (63,288,[2_1|2]), (63,304,[0_1|2]), (63,320,[2_1|2]), (63,336,[2_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,[0_1|2]), (72,73,[0_1|2]), (73,74,[2_1|2]), (74,75,[0_1|2]), (75,76,[1_1|2]), (76,77,[0_1|2]), (77,78,[1_1|2]), (78,79,[0_1|2]), (78,128,[0_1|2]), (78,144,[0_1|2]), (78,160,[0_1|2]), (78,176,[0_1|2]), (79,63,[1_1|2]), (79,208,[1_1|2]), (79,224,[1_1|2]), (79,240,[1_1|2]), (79,256,[1_1|2]), (79,272,[1_1|2]), (79,81,[1_1|2]), (79,97,[1_1|2]), (79,113,[1_1|2]), (79,145,[1_1|2]), (79,161,[1_1|2]), (79,177,[1_1|2]), (79,353,[1_1|2]), (79,242,[1_1|2]), (79,258,[1_1|2]), (79,179,[1_1|2]), (79,355,[1_1|2]), (79,68,[1_1|2]), (80,81,[1_1|2]), (81,82,[1_1|2]), (82,83,[0_1|2]), (83,84,[0_1|2]), (84,85,[1_1|2]), (85,86,[0_1|2]), (86,87,[1_1|2]), (87,88,[1_1|2]), (88,89,[1_1|2]), (89,90,[1_1|2]), (90,91,[0_1|2]), (91,92,[2_1|2]), (92,93,[0_1|2]), (92,176,[0_1|2]), (93,94,[1_1|2]), (94,95,[1_1|2]), (94,240,[1_1|2]), (95,63,[1_1|2]), (95,208,[1_1|2]), (95,224,[1_1|2]), (95,240,[1_1|2]), (95,256,[1_1|2]), (95,272,[1_1|2]), (95,81,[1_1|2]), (95,97,[1_1|2]), (95,113,[1_1|2]), (95,145,[1_1|2]), (95,161,[1_1|2]), (95,177,[1_1|2]), (95,353,[1_1|2]), (95,116,[1_1|2]), (95,164,[1_1|2]), (96,97,[1_1|2]), (97,98,[1_1|2]), (98,99,[1_1|2]), (99,100,[0_1|2]), (100,101,[1_1|2]), (101,102,[1_1|2]), (102,103,[2_1|2]), (103,104,[1_1|2]), (104,105,[2_1|2]), (105,106,[0_1|2]), (106,107,[1_1|2]), (107,108,[1_1|2]), (108,109,[1_1|2]), (109,110,[0_1|2]), (109,160,[0_1|2]), (109,176,[0_1|2]), (110,111,[1_1|2]), (110,240,[1_1|2]), (111,63,[1_1|2]), (111,64,[1_1|2]), (111,80,[1_1|2]), (111,96,[1_1|2]), (111,112,[1_1|2]), (111,128,[1_1|2]), (111,144,[1_1|2]), (111,160,[1_1|2]), (111,176,[1_1|2]), (111,192,[1_1|2]), (111,304,[1_1|2]), (111,352,[1_1|2]), (111,289,[1_1|2]), (111,208,[1_1|2]), (111,224,[1_1|2]), (111,240,[1_1|2]), (111,256,[1_1|2]), (111,272,[1_1|2]), (112,113,[1_1|2]), (113,114,[2_1|2]), (114,115,[0_1|2]), (115,116,[1_1|2]), (116,117,[0_1|2]), (117,118,[0_1|2]), (118,119,[1_1|2]), (119,120,[2_1|2]), (120,121,[1_1|2]), (121,122,[0_1|2]), (122,123,[0_1|2]), (123,124,[1_1|2]), (124,125,[0_1|2]), (124,176,[0_1|2]), (125,126,[1_1|2]), (126,127,[1_1|2]), (126,240,[1_1|2]), (127,63,[1_1|2]), (127,208,[1_1|2]), (127,224,[1_1|2]), (127,240,[1_1|2]), (127,256,[1_1|2]), (127,272,[1_1|2]), (127,209,[1_1|2]), (127,273,[1_1|2]), (127,338,[1_1|2]), (128,129,[0_1|2]), (129,130,[0_1|2]), (130,131,[1_1|2]), (131,132,[1_1|2]), (132,133,[1_1|2]), (133,134,[1_1|2]), (134,135,[1_1|2]), (135,136,[0_1|2]), (136,137,[2_1|2]), (137,138,[2_1|2]), (138,139,[0_1|2]), (139,140,[1_1|2]), (140,141,[1_1|2]), (141,142,[1_1|2]), (142,143,[0_1|2]), (142,128,[0_1|2]), (142,144,[0_1|2]), (142,160,[0_1|2]), (142,176,[0_1|2]), (143,63,[1_1|2]), (143,208,[1_1|2]), (143,224,[1_1|2]), (143,240,[1_1|2]), (143,256,[1_1|2]), (143,272,[1_1|2]), (143,209,[1_1|2]), (143,273,[1_1|2]), (143,82,[1_1|2]), (143,98,[1_1|2]), (143,243,[1_1|2]), (143,259,[1_1|2]), (143,356,[1_1|2]), (143,69,[1_1|2]), (144,145,[1_1|2]), (145,146,[2_1|2]), (146,147,[2_1|2]), (147,148,[0_1|2]), (148,149,[0_1|2]), (149,150,[1_1|2]), (150,151,[0_1|2]), (151,152,[1_1|2]), (152,153,[0_1|2]), (153,154,[2_1|2]), (154,155,[1_1|2]), (155,156,[0_1|2]), (156,157,[2_1|2]), (157,158,[2_1|2]), (158,159,[0_1|2]), (158,128,[0_1|2]), (158,144,[0_1|2]), (158,160,[0_1|2]), (158,176,[0_1|2]), (159,63,[1_1|2]), (159,208,[1_1|2]), (159,224,[1_1|2]), (159,240,[1_1|2]), (159,256,[1_1|2]), (159,272,[1_1|2]), (159,81,[1_1|2]), (159,97,[1_1|2]), (159,113,[1_1|2]), (159,145,[1_1|2]), (159,161,[1_1|2]), (159,177,[1_1|2]), (159,353,[1_1|2]), (160,161,[1_1|2]), (161,162,[2_1|2]), (162,163,[0_1|2]), (163,164,[1_1|2]), (164,165,[1_1|2]), (165,166,[0_1|2]), (166,167,[1_1|2]), (167,168,[1_1|2]), (168,169,[1_1|2]), (169,170,[1_1|2]), (170,171,[1_1|2]), (171,172,[0_1|2]), (171,80,[0_1|2]), (172,173,[0_1|2]), (173,174,[1_1|2]), (174,175,[0_1|2]), (174,64,[0_1|2]), (174,80,[0_1|2]), (174,96,[0_1|2]), (174,112,[0_1|2]), (175,63,[0_1|2]), (175,64,[0_1|2]), (175,80,[0_1|2]), (175,96,[0_1|2]), (175,112,[0_1|2]), (175,128,[0_1|2]), (175,144,[0_1|2]), (175,160,[0_1|2]), (175,176,[0_1|2]), (175,192,[0_1|2]), (175,304,[0_1|2]), (175,352,[0_1|2]), (175,65,[0_1|2]), (175,129,[0_1|2]), (175,193,[0_1|2]), (176,177,[1_1|2]), (177,178,[0_1|2]), (178,179,[1_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[1_1|2]), (182,183,[0_1|2]), (183,184,[0_1|2]), (184,185,[1_1|2]), (185,186,[0_1|2]), (186,187,[2_1|2]), (187,188,[0_1|2]), (188,189,[1_1|2]), (189,190,[0_1|2]), (189,80,[0_1|2]), (189,96,[0_1|2]), (189,112,[0_1|2]), (190,191,[0_1|2]), (190,128,[0_1|2]), (190,144,[0_1|2]), (190,160,[0_1|2]), (190,176,[0_1|2]), (191,63,[1_1|2]), (191,208,[1_1|2]), (191,224,[1_1|2]), (191,240,[1_1|2]), (191,256,[1_1|2]), (191,272,[1_1|2]), (191,81,[1_1|2]), (191,97,[1_1|2]), (191,113,[1_1|2]), (191,145,[1_1|2]), (191,161,[1_1|2]), (191,177,[1_1|2]), (191,353,[1_1|2]), (191,242,[1_1|2]), (191,258,[1_1|2]), (192,193,[0_1|2]), (193,194,[1_1|2]), (194,195,[2_1|2]), (195,196,[0_1|2]), (196,197,[0_1|2]), (197,198,[1_1|2]), (198,199,[0_1|2]), (199,200,[1_1|2]), (200,201,[0_1|2]), (201,202,[1_1|2]), (202,203,[1_1|2]), (203,204,[0_1|2]), (203,112,[0_1|2]), (204,205,[0_1|2]), (204,176,[0_1|2]), (205,206,[1_1|2]), (206,207,[1_1|2]), (206,240,[1_1|2]), (207,63,[1_1|2]), (207,288,[1_1|2]), (207,320,[1_1|2]), (207,336,[1_1|2]), (207,305,[1_1|2]), (207,208,[1_1|2]), (207,224,[1_1|2]), (207,240,[1_1|2]), (207,256,[1_1|2]), (207,272,[1_1|2]), (208,209,[1_1|2]), (209,210,[0_1|2]), (210,211,[0_1|2]), (211,212,[1_1|2]), (212,213,[0_1|2]), (213,214,[2_1|2]), (214,215,[1_1|2]), (215,216,[2_1|2]), (216,217,[0_1|2]), (217,218,[1_1|2]), (218,219,[1_1|2]), (219,220,[1_1|2]), (220,221,[0_1|2]), (220,176,[0_1|2]), (221,222,[1_1|2]), (222,223,[1_1|2]), (222,240,[1_1|2]), (223,63,[1_1|2]), (223,208,[1_1|2]), (223,224,[1_1|2]), (223,240,[1_1|2]), (223,256,[1_1|2]), (223,272,[1_1|2]), (223,81,[1_1|2]), (223,97,[1_1|2]), (223,113,[1_1|2]), (223,145,[1_1|2]), (223,161,[1_1|2]), (223,177,[1_1|2]), (223,353,[1_1|2]), (223,242,[1_1|2]), (223,258,[1_1|2]), (223,179,[1_1|2]), (223,355,[1_1|2]), (224,225,[2_1|2]), (225,226,[0_1|2]), (226,227,[2_1|2]), (227,228,[0_1|2]), (228,229,[0_1|2]), (229,230,[1_1|2]), (230,231,[0_1|2]), (231,232,[1_1|2]), (232,233,[0_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[1_1|2]), (235,256,[1_1|2]), (236,237,[2_1|2]), (237,238,[0_1|2]), (237,128,[0_1|2]), (237,144,[0_1|2]), (238,239,[1_1|2]), (238,208,[1_1|2]), (238,224,[1_1|2]), (239,63,[0_1|2]), (239,64,[0_1|2]), (239,80,[0_1|2]), (239,96,[0_1|2]), (239,112,[0_1|2]), (239,128,[0_1|2]), (239,144,[0_1|2]), (239,160,[0_1|2]), (239,176,[0_1|2]), (239,192,[0_1|2]), (239,304,[0_1|2]), (239,352,[0_1|2]), (239,289,[0_1|2]), (239,226,[0_1|2]), (240,241,[0_1|2]), (241,242,[1_1|2]), (242,243,[1_1|2]), (243,244,[1_1|2]), (244,245,[0_1|2]), (245,246,[0_1|2]), (246,247,[1_1|2]), (247,248,[2_1|2]), (248,249,[0_1|2]), (249,250,[1_1|2]), (250,251,[2_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (252,64,[0_1|2]), (253,254,[0_1|2]), (253,80,[0_1|2]), (253,96,[0_1|2]), (253,112,[0_1|2]), (254,255,[0_1|2]), (254,128,[0_1|2]), (254,144,[0_1|2]), (254,160,[0_1|2]), (254,176,[0_1|2]), (255,63,[1_1|2]), (255,208,[1_1|2]), (255,224,[1_1|2]), (255,240,[1_1|2]), (255,256,[1_1|2]), (255,272,[1_1|2]), (255,209,[1_1|2]), (255,273,[1_1|2]), (255,82,[1_1|2]), (255,98,[1_1|2]), (255,165,[1_1|2]), (256,257,[0_1|2]), (257,258,[1_1|2]), (258,259,[1_1|2]), (259,260,[2_1|2]), (260,261,[0_1|2]), (261,262,[1_1|2]), (262,263,[0_1|2]), (263,264,[0_1|2]), (264,265,[1_1|2]), (265,266,[0_1|2]), (266,267,[0_1|2]), (267,268,[1_1|2]), (268,269,[0_1|2]), (269,270,[1_1|2]), (269,256,[1_1|2]), (270,271,[2_1|2]), (270,288,[2_1|2]), (270,304,[0_1|2]), (270,320,[2_1|2]), (271,63,[0_1|2]), (271,64,[0_1|2]), (271,80,[0_1|2]), (271,96,[0_1|2]), (271,112,[0_1|2]), (271,128,[0_1|2]), (271,144,[0_1|2]), (271,160,[0_1|2]), (271,176,[0_1|2]), (271,192,[0_1|2]), (271,304,[0_1|2]), (271,352,[0_1|2]), (271,241,[0_1|2]), (271,257,[0_1|2]), (272,273,[1_1|2]), (273,274,[1_1|2]), (274,275,[1_1|2]), (275,276,[0_1|2]), (276,277,[2_1|2]), (277,278,[0_1|2]), (278,279,[1_1|2]), (279,280,[1_1|2]), (280,281,[0_1|2]), (281,282,[1_1|2]), (282,283,[1_1|2]), (283,284,[2_1|2]), (284,285,[2_1|2]), (285,286,[0_1|2]), (285,80,[0_1|2]), (285,96,[0_1|2]), (285,112,[0_1|2]), (286,287,[0_1|2]), (286,128,[0_1|2]), (286,144,[0_1|2]), (286,160,[0_1|2]), (286,176,[0_1|2]), (287,63,[1_1|2]), (287,208,[1_1|2]), (287,224,[1_1|2]), (287,240,[1_1|2]), (287,256,[1_1|2]), (287,272,[1_1|2]), (287,81,[1_1|2]), (287,97,[1_1|2]), (287,113,[1_1|2]), (287,145,[1_1|2]), (287,161,[1_1|2]), (287,177,[1_1|2]), (287,353,[1_1|2]), (287,66,[1_1|2]), (287,194,[1_1|2]), (287,212,[1_1|2]), (288,289,[0_1|2]), (289,290,[0_1|2]), (290,291,[1_1|2]), (291,292,[1_1|2]), (292,293,[2_1|2]), (293,294,[1_1|2]), (294,295,[1_1|2]), (295,296,[2_1|2]), (296,297,[0_1|2]), (297,298,[0_1|2]), (298,299,[1_1|2]), (299,300,[2_1|2]), (300,301,[1_1|2]), (300,256,[1_1|2]), (301,302,[2_1|2]), (302,303,[0_1|2]), (302,128,[0_1|2]), (302,144,[0_1|2]), (302,160,[0_1|2]), (302,176,[0_1|2]), (303,63,[1_1|2]), (303,208,[1_1|2]), (303,224,[1_1|2]), (303,240,[1_1|2]), (303,256,[1_1|2]), (303,272,[1_1|2]), (303,81,[1_1|2]), (303,97,[1_1|2]), (303,113,[1_1|2]), (303,145,[1_1|2]), (303,161,[1_1|2]), (303,177,[1_1|2]), (303,353,[1_1|2]), (303,242,[1_1|2]), (303,258,[1_1|2]), (303,179,[1_1|2]), (303,355,[1_1|2]), (304,305,[2_1|2]), (305,306,[1_1|2]), (306,307,[2_1|2]), (307,308,[1_1|2]), (308,309,[0_1|2]), (309,310,[1_1|2]), (310,311,[1_1|2]), (311,312,[1_1|2]), (312,313,[0_1|2]), (313,314,[1_1|2]), (314,315,[0_1|2]), (315,316,[1_1|2]), (316,317,[0_1|2]), (316,112,[0_1|2]), (317,318,[0_1|2]), (317,160,[0_1|2]), (317,176,[0_1|2]), (318,319,[1_1|2]), (318,240,[1_1|2]), (319,63,[1_1|2]), (319,208,[1_1|2]), (319,224,[1_1|2]), (319,240,[1_1|2]), (319,256,[1_1|2]), (319,272,[1_1|2]), (319,209,[1_1|2]), (319,273,[1_1|2]), (319,274,[1_1|2]), (319,99,[1_1|2]), (319,133,[1_1|2]), (320,321,[1_1|2]), (321,322,[2_1|2]), (322,323,[0_1|2]), (323,324,[2_1|2]), (324,325,[0_1|2]), (325,326,[1_1|2]), (326,327,[0_1|2]), (327,328,[1_1|2]), (328,329,[2_1|2]), (329,330,[0_1|2]), (330,331,[1_1|2]), (331,332,[0_1|2]), (332,333,[1_1|2]), (333,334,[1_1|2]), (334,335,[1_1|2]), (334,240,[1_1|2]), (335,63,[1_1|2]), (335,208,[1_1|2]), (335,224,[1_1|2]), (335,240,[1_1|2]), (335,256,[1_1|2]), (335,272,[1_1|2]), (335,81,[1_1|2]), (335,97,[1_1|2]), (335,113,[1_1|2]), (335,145,[1_1|2]), (335,161,[1_1|2]), (335,177,[1_1|2]), (335,353,[1_1|2]), (335,242,[1_1|2]), (335,258,[1_1|2]), (335,179,[1_1|2]), (335,355,[1_1|2]), (336,337,[1_1|2]), (337,338,[1_1|2]), (338,339,[1_1|2]), (339,340,[2_1|2]), (340,341,[0_1|2]), (341,342,[1_1|2]), (342,343,[2_1|2]), (343,344,[2_1|2]), (344,345,[0_1|2]), (345,346,[0_1|2]), (346,347,[0_1|2]), (347,348,[1_1|2]), (348,349,[1_1|2]), (349,350,[1_1|2]), (350,351,[0_1|2]), (350,128,[0_1|2]), (350,144,[0_1|2]), (350,160,[0_1|2]), (350,176,[0_1|2]), (351,63,[1_1|2]), (351,208,[1_1|2]), (351,224,[1_1|2]), (351,240,[1_1|2]), (351,256,[1_1|2]), (351,272,[1_1|2]), (351,81,[1_1|2]), (351,97,[1_1|2]), (351,113,[1_1|2]), (351,145,[1_1|2]), (351,161,[1_1|2]), (351,177,[1_1|2]), (351,353,[1_1|2]), (351,242,[1_1|2]), (351,258,[1_1|2]), (352,353,[1_1|2]), (353,354,[0_1|2]), (354,355,[1_1|2]), (355,356,[1_1|2]), (356,357,[1_1|2]), (357,358,[1_1|2]), (358,359,[1_1|2]), (359,360,[2_1|2]), (360,361,[2_1|2]), (361,362,[0_1|2]), (362,363,[1_1|2]), (363,364,[2_1|2]), (364,365,[1_1|2]), (365,366,[1_1|2]), (365,240,[1_1|2]), (366,367,[1_1|2]), (366,208,[1_1|2]), (366,224,[1_1|2]), (367,63,[0_1|2]), (367,64,[0_1|2]), (367,80,[0_1|2]), (367,96,[0_1|2]), (367,112,[0_1|2]), (367,128,[0_1|2]), (367,144,[0_1|2]), (367,160,[0_1|2]), (367,176,[0_1|2]), (367,192,[0_1|2]), (367,304,[0_1|2]), (367,352,[0_1|2]), (367,241,[0_1|2]), (367,257,[0_1|2]), (367,178,[0_1|2]), (367,354,[0_1|2]), (367,263,[0_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)