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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 85 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 26 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(x1))) -> 1(0(0(2(x1)))) 0(1(2(x1))) -> 1(0(3(2(x1)))) 0(1(2(x1))) -> 1(0(0(3(2(x1))))) 0(1(2(x1))) -> 4(5(1(0(2(x1))))) 0(5(2(x1))) -> 5(0(0(2(x1)))) 0(5(2(x1))) -> 5(5(0(2(x1)))) 0(5(2(x1))) -> 5(0(3(3(2(x1))))) 0(5(3(x1))) -> 5(0(0(3(x1)))) 0(5(3(x1))) -> 5(5(0(3(x1)))) 0(0(5(2(x1)))) -> 0(2(0(3(5(5(x1)))))) 0(1(2(3(x1)))) -> 1(3(2(0(3(x1))))) 0(1(2(4(x1)))) -> 4(5(1(0(2(x1))))) 0(1(4(2(x1)))) -> 4(4(1(0(2(x1))))) 0(4(1(2(x1)))) -> 0(4(5(5(1(2(x1)))))) 0(5(2(3(x1)))) -> 5(0(3(2(3(x1))))) 1(2(1(2(x1)))) -> 1(1(5(2(2(x1))))) 4(0(1(2(x1)))) -> 4(1(0(0(2(x1))))) 4(3(0(2(x1)))) -> 4(0(0(3(2(x1))))) 4(3(1(2(x1)))) -> 3(2(5(4(1(1(x1)))))) 0(0(1(2(3(x1))))) -> 3(2(1(0(0(3(x1)))))) 0(0(1(3(2(x1))))) -> 1(0(2(0(0(3(x1)))))) 0(0(1(3(3(x1))))) -> 0(0(3(1(0(3(x1)))))) 0(0(1(5(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(1(2(1(2(x1))))) -> 1(1(0(2(2(2(x1)))))) 0(1(4(5(2(x1))))) -> 4(1(0(3(2(5(x1)))))) 0(5(0(1(2(x1))))) -> 1(2(0(1(5(0(x1)))))) 0(5(1(0(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(5(1(4(3(x1))))) -> 1(0(3(5(4(5(x1)))))) 0(5(1(4(3(x1))))) -> 4(5(5(1(0(3(x1)))))) 0(5(3(1(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0(5(3(1(2(x1))))) -> 5(0(1(4(3(2(x1)))))) 0(5(3(4(2(x1))))) -> 3(2(0(3(5(4(x1)))))) 0(5(4(3(2(x1))))) -> 0(0(4(3(2(5(x1)))))) 1(2(5(2(3(x1))))) -> 5(1(2(3(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 0(5(1(0(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 1(3(0(0(2(5(x1)))))) 1(3(3(4(2(x1))))) -> 5(1(3(3(2(4(x1)))))) 4(3(0(2(3(x1))))) -> 0(3(3(3(2(4(x1)))))) 4(3(0(5(3(x1))))) -> 5(4(3(5(0(3(x1)))))) 4(3(3(1(2(x1))))) -> 1(3(0(4(3(2(x1)))))) 5(2(3(0(2(x1))))) -> 4(5(0(2(3(2(x1)))))) 5(2(3(1(2(x1))))) -> 2(3(2(4(1(5(x1)))))) 5(3(0(2(2(x1))))) -> 5(3(3(2(0(2(x1)))))) 5(3(0(5(2(x1))))) -> 5(5(3(0(2(4(x1)))))) 5(3(1(2(2(x1))))) -> 5(1(3(2(2(2(x1)))))) 5(3(1(5(2(x1))))) -> 2(5(5(1(5(3(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(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(x1))) -> 1(0(0(2(x1)))) 0(1(2(x1))) -> 1(0(3(2(x1)))) 0(1(2(x1))) -> 1(0(0(3(2(x1))))) 0(1(2(x1))) -> 4(5(1(0(2(x1))))) 0(5(2(x1))) -> 5(0(0(2(x1)))) 0(5(2(x1))) -> 5(5(0(2(x1)))) 0(5(2(x1))) -> 5(0(3(3(2(x1))))) 0(5(3(x1))) -> 5(0(0(3(x1)))) 0(5(3(x1))) -> 5(5(0(3(x1)))) 0(0(5(2(x1)))) -> 0(2(0(3(5(5(x1)))))) 0(1(2(3(x1)))) -> 1(3(2(0(3(x1))))) 0(1(2(4(x1)))) -> 4(5(1(0(2(x1))))) 0(1(4(2(x1)))) -> 4(4(1(0(2(x1))))) 0(4(1(2(x1)))) -> 0(4(5(5(1(2(x1)))))) 0(5(2(3(x1)))) -> 5(0(3(2(3(x1))))) 1(2(1(2(x1)))) -> 1(1(5(2(2(x1))))) 4(0(1(2(x1)))) -> 4(1(0(0(2(x1))))) 4(3(0(2(x1)))) -> 4(0(0(3(2(x1))))) 4(3(1(2(x1)))) -> 3(2(5(4(1(1(x1)))))) 0(0(1(2(3(x1))))) -> 3(2(1(0(0(3(x1)))))) 0(0(1(3(2(x1))))) -> 1(0(2(0(0(3(x1)))))) 0(0(1(3(3(x1))))) -> 0(0(3(1(0(3(x1)))))) 0(0(1(5(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(1(2(1(2(x1))))) -> 1(1(0(2(2(2(x1)))))) 0(1(4(5(2(x1))))) -> 4(1(0(3(2(5(x1)))))) 0(5(0(1(2(x1))))) -> 1(2(0(1(5(0(x1)))))) 0(5(1(0(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(5(1(4(3(x1))))) -> 1(0(3(5(4(5(x1)))))) 0(5(1(4(3(x1))))) -> 4(5(5(1(0(3(x1)))))) 0(5(3(1(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0(5(3(1(2(x1))))) -> 5(0(1(4(3(2(x1)))))) 0(5(3(4(2(x1))))) -> 3(2(0(3(5(4(x1)))))) 0(5(4(3(2(x1))))) -> 0(0(4(3(2(5(x1)))))) 1(2(5(2(3(x1))))) -> 5(1(2(3(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 0(5(1(0(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 1(3(0(0(2(5(x1)))))) 1(3(3(4(2(x1))))) -> 5(1(3(3(2(4(x1)))))) 4(3(0(2(3(x1))))) -> 0(3(3(3(2(4(x1)))))) 4(3(0(5(3(x1))))) -> 5(4(3(5(0(3(x1)))))) 4(3(3(1(2(x1))))) -> 1(3(0(4(3(2(x1)))))) 5(2(3(0(2(x1))))) -> 4(5(0(2(3(2(x1)))))) 5(2(3(1(2(x1))))) -> 2(3(2(4(1(5(x1)))))) 5(3(0(2(2(x1))))) -> 5(3(3(2(0(2(x1)))))) 5(3(0(5(2(x1))))) -> 5(5(3(0(2(4(x1)))))) 5(3(1(2(2(x1))))) -> 5(1(3(2(2(2(x1)))))) 5(3(1(5(2(x1))))) -> 2(5(5(1(5(3(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(x1))) -> 1(0(0(2(x1)))) 0(1(2(x1))) -> 1(0(3(2(x1)))) 0(1(2(x1))) -> 1(0(0(3(2(x1))))) 0(1(2(x1))) -> 4(5(1(0(2(x1))))) 0(5(2(x1))) -> 5(0(0(2(x1)))) 0(5(2(x1))) -> 5(5(0(2(x1)))) 0(5(2(x1))) -> 5(0(3(3(2(x1))))) 0(5(3(x1))) -> 5(0(0(3(x1)))) 0(5(3(x1))) -> 5(5(0(3(x1)))) 0(0(5(2(x1)))) -> 0(2(0(3(5(5(x1)))))) 0(1(2(3(x1)))) -> 1(3(2(0(3(x1))))) 0(1(2(4(x1)))) -> 4(5(1(0(2(x1))))) 0(1(4(2(x1)))) -> 4(4(1(0(2(x1))))) 0(4(1(2(x1)))) -> 0(4(5(5(1(2(x1)))))) 0(5(2(3(x1)))) -> 5(0(3(2(3(x1))))) 1(2(1(2(x1)))) -> 1(1(5(2(2(x1))))) 4(0(1(2(x1)))) -> 4(1(0(0(2(x1))))) 4(3(0(2(x1)))) -> 4(0(0(3(2(x1))))) 4(3(1(2(x1)))) -> 3(2(5(4(1(1(x1)))))) 0(0(1(2(3(x1))))) -> 3(2(1(0(0(3(x1)))))) 0(0(1(3(2(x1))))) -> 1(0(2(0(0(3(x1)))))) 0(0(1(3(3(x1))))) -> 0(0(3(1(0(3(x1)))))) 0(0(1(5(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(1(2(1(2(x1))))) -> 1(1(0(2(2(2(x1)))))) 0(1(4(5(2(x1))))) -> 4(1(0(3(2(5(x1)))))) 0(5(0(1(2(x1))))) -> 1(2(0(1(5(0(x1)))))) 0(5(1(0(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(5(1(4(3(x1))))) -> 1(0(3(5(4(5(x1)))))) 0(5(1(4(3(x1))))) -> 4(5(5(1(0(3(x1)))))) 0(5(3(1(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0(5(3(1(2(x1))))) -> 5(0(1(4(3(2(x1)))))) 0(5(3(4(2(x1))))) -> 3(2(0(3(5(4(x1)))))) 0(5(4(3(2(x1))))) -> 0(0(4(3(2(5(x1)))))) 1(2(5(2(3(x1))))) -> 5(1(2(3(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 0(5(1(0(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 1(3(0(0(2(5(x1)))))) 1(3(3(4(2(x1))))) -> 5(1(3(3(2(4(x1)))))) 4(3(0(2(3(x1))))) -> 0(3(3(3(2(4(x1)))))) 4(3(0(5(3(x1))))) -> 5(4(3(5(0(3(x1)))))) 4(3(3(1(2(x1))))) -> 1(3(0(4(3(2(x1)))))) 5(2(3(0(2(x1))))) -> 4(5(0(2(3(2(x1)))))) 5(2(3(1(2(x1))))) -> 2(3(2(4(1(5(x1)))))) 5(3(0(2(2(x1))))) -> 5(3(3(2(0(2(x1)))))) 5(3(0(5(2(x1))))) -> 5(5(3(0(2(4(x1)))))) 5(3(1(2(2(x1))))) -> 5(1(3(2(2(2(x1)))))) 5(3(1(5(2(x1))))) -> 2(5(5(1(5(3(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(x1))) -> 1(0(0(2(x1)))) 0(1(2(x1))) -> 1(0(3(2(x1)))) 0(1(2(x1))) -> 1(0(0(3(2(x1))))) 0(1(2(x1))) -> 4(5(1(0(2(x1))))) 0(5(2(x1))) -> 5(0(0(2(x1)))) 0(5(2(x1))) -> 5(5(0(2(x1)))) 0(5(2(x1))) -> 5(0(3(3(2(x1))))) 0(5(3(x1))) -> 5(0(0(3(x1)))) 0(5(3(x1))) -> 5(5(0(3(x1)))) 0(0(5(2(x1)))) -> 0(2(0(3(5(5(x1)))))) 0(1(2(3(x1)))) -> 1(3(2(0(3(x1))))) 0(1(2(4(x1)))) -> 4(5(1(0(2(x1))))) 0(1(4(2(x1)))) -> 4(4(1(0(2(x1))))) 0(4(1(2(x1)))) -> 0(4(5(5(1(2(x1)))))) 0(5(2(3(x1)))) -> 5(0(3(2(3(x1))))) 1(2(1(2(x1)))) -> 1(1(5(2(2(x1))))) 4(0(1(2(x1)))) -> 4(1(0(0(2(x1))))) 4(3(0(2(x1)))) -> 4(0(0(3(2(x1))))) 4(3(1(2(x1)))) -> 3(2(5(4(1(1(x1)))))) 0(0(1(2(3(x1))))) -> 3(2(1(0(0(3(x1)))))) 0(0(1(3(2(x1))))) -> 1(0(2(0(0(3(x1)))))) 0(0(1(3(3(x1))))) -> 0(0(3(1(0(3(x1)))))) 0(0(1(5(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(1(2(1(2(x1))))) -> 1(1(0(2(2(2(x1)))))) 0(1(4(5(2(x1))))) -> 4(1(0(3(2(5(x1)))))) 0(5(0(1(2(x1))))) -> 1(2(0(1(5(0(x1)))))) 0(5(1(0(2(x1))))) -> 1(5(0(0(3(2(x1)))))) 0(5(1(4(3(x1))))) -> 1(0(3(5(4(5(x1)))))) 0(5(1(4(3(x1))))) -> 4(5(5(1(0(3(x1)))))) 0(5(3(1(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0(5(3(1(2(x1))))) -> 5(0(1(4(3(2(x1)))))) 0(5(3(4(2(x1))))) -> 3(2(0(3(5(4(x1)))))) 0(5(4(3(2(x1))))) -> 0(0(4(3(2(5(x1)))))) 1(2(5(2(3(x1))))) -> 5(1(2(3(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 0(5(1(0(3(2(x1)))))) 1(3(0(5(2(x1))))) -> 1(3(0(0(2(5(x1)))))) 1(3(3(4(2(x1))))) -> 5(1(3(3(2(4(x1)))))) 4(3(0(2(3(x1))))) -> 0(3(3(3(2(4(x1)))))) 4(3(0(5(3(x1))))) -> 5(4(3(5(0(3(x1)))))) 4(3(3(1(2(x1))))) -> 1(3(0(4(3(2(x1)))))) 5(2(3(0(2(x1))))) -> 4(5(0(2(3(2(x1)))))) 5(2(3(1(2(x1))))) -> 2(3(2(4(1(5(x1)))))) 5(3(0(2(2(x1))))) -> 5(3(3(2(0(2(x1)))))) 5(3(0(5(2(x1))))) -> 5(5(3(0(2(4(x1)))))) 5(3(1(2(2(x1))))) -> 5(1(3(2(2(2(x1)))))) 5(3(1(5(2(x1))))) -> 2(5(5(1(5(3(x1)))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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. "[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] {(93,94,[0_1|0, 1_1|0, 4_1|0, 5_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]), (93,95,[2_1|1, 3_1|1, 0_1|1, 1_1|1, 4_1|1, 5_1|1]), (93,96,[1_1|2]), (93,99,[1_1|2]), (93,102,[1_1|2]), (93,106,[4_1|2]), (93,110,[1_1|2]), (93,114,[1_1|2]), (93,119,[4_1|2]), (93,123,[4_1|2]), (93,128,[5_1|2]), (93,131,[5_1|2]), (93,134,[5_1|2]), (93,138,[5_1|2]), (93,142,[5_1|2]), (93,145,[5_1|2]), (93,148,[0_1|2]), (93,153,[5_1|2]), (93,158,[3_1|2]), (93,163,[1_1|2]), (93,168,[1_1|2]), (93,173,[1_1|2]), (93,178,[4_1|2]), (93,183,[0_1|2]), (93,188,[0_1|2]), (93,193,[3_1|2]), (93,198,[1_1|2]), (93,203,[0_1|2]), (93,208,[0_1|2]), (93,213,[1_1|2]), (93,217,[5_1|2]), (93,222,[0_1|2]), (93,227,[1_1|2]), (93,232,[5_1|2]), (93,237,[4_1|2]), (93,241,[4_1|2]), (93,245,[0_1|2]), (93,250,[5_1|2]), (93,255,[3_1|2]), (93,260,[1_1|2]), (93,265,[4_1|2]), (93,270,[2_1|2]), (93,275,[5_1|2]), (93,280,[5_1|2]), (93,285,[5_1|2]), (93,290,[2_1|2]), (93,295,[4_1|2]), (94,94,[2_1|0, 3_1|0, cons_0_1|0, cons_1_1|0, cons_4_1|0, cons_5_1|0]), (95,94,[encArg_1|1]), (95,95,[2_1|1, 3_1|1, 0_1|1, 1_1|1, 4_1|1, 5_1|1]), (95,96,[1_1|2]), (95,99,[1_1|2]), (95,102,[1_1|2]), (95,106,[4_1|2]), (95,110,[1_1|2]), (95,114,[1_1|2]), (95,119,[4_1|2]), (95,123,[4_1|2]), (95,128,[5_1|2]), (95,131,[5_1|2]), (95,134,[5_1|2]), (95,138,[5_1|2]), (95,142,[5_1|2]), (95,145,[5_1|2]), (95,148,[0_1|2]), (95,153,[5_1|2]), (95,158,[3_1|2]), (95,163,[1_1|2]), (95,168,[1_1|2]), (95,173,[1_1|2]), (95,178,[4_1|2]), (95,183,[0_1|2]), (95,188,[0_1|2]), (95,193,[3_1|2]), (95,198,[1_1|2]), (95,203,[0_1|2]), (95,208,[0_1|2]), (95,213,[1_1|2]), (95,217,[5_1|2]), (95,222,[0_1|2]), (95,227,[1_1|2]), (95,232,[5_1|2]), (95,237,[4_1|2]), (95,241,[4_1|2]), (95,245,[0_1|2]), (95,250,[5_1|2]), (95,255,[3_1|2]), (95,260,[1_1|2]), (95,265,[4_1|2]), (95,270,[2_1|2]), (95,275,[5_1|2]), (95,280,[5_1|2]), (95,285,[5_1|2]), (95,290,[2_1|2]), (95,295,[4_1|2]), (96,97,[0_1|2]), (97,98,[0_1|2]), (98,95,[2_1|2]), (98,270,[2_1|2]), (98,290,[2_1|2]), (98,164,[2_1|2]), (99,100,[0_1|2]), (100,101,[3_1|2]), (101,95,[2_1|2]), (101,270,[2_1|2]), (101,290,[2_1|2]), (101,164,[2_1|2]), (102,103,[0_1|2]), (103,104,[0_1|2]), (104,105,[3_1|2]), (105,95,[2_1|2]), (105,270,[2_1|2]), (105,290,[2_1|2]), (105,164,[2_1|2]), (106,107,[5_1|2]), (107,108,[1_1|2]), (108,109,[0_1|2]), (109,95,[2_1|2]), (109,270,[2_1|2]), (109,290,[2_1|2]), (109,164,[2_1|2]), (110,111,[3_1|2]), (111,112,[2_1|2]), (112,113,[0_1|2]), (113,95,[3_1|2]), (113,158,[3_1|2]), (113,193,[3_1|2]), (113,255,[3_1|2]), (113,271,[3_1|2]), (114,115,[1_1|2]), (115,116,[0_1|2]), (116,117,[2_1|2]), (117,118,[2_1|2]), (118,95,[2_1|2]), (118,270,[2_1|2]), (118,290,[2_1|2]), (118,164,[2_1|2]), (119,120,[4_1|2]), (120,121,[1_1|2]), (121,122,[0_1|2]), (122,95,[2_1|2]), (122,270,[2_1|2]), (122,290,[2_1|2]), (123,124,[1_1|2]), (124,125,[0_1|2]), (125,126,[3_1|2]), (126,127,[2_1|2]), (127,95,[5_1|2]), (127,270,[5_1|2, 2_1|2]), (127,290,[5_1|2, 2_1|2]), (127,265,[4_1|2]), (127,275,[5_1|2]), (127,280,[5_1|2]), (127,285,[5_1|2]), (128,129,[0_1|2]), (129,130,[0_1|2]), (130,95,[2_1|2]), (130,270,[2_1|2]), (130,290,[2_1|2]), (131,132,[5_1|2]), (132,133,[0_1|2]), (133,95,[2_1|2]), (133,270,[2_1|2]), (133,290,[2_1|2]), (134,135,[0_1|2]), (135,136,[3_1|2]), (136,137,[3_1|2]), (137,95,[2_1|2]), (137,270,[2_1|2]), (137,290,[2_1|2]), (138,139,[0_1|2]), (139,140,[3_1|2]), (140,141,[2_1|2]), (141,95,[3_1|2]), (141,158,[3_1|2]), (141,193,[3_1|2]), (141,255,[3_1|2]), (141,271,[3_1|2]), (142,143,[0_1|2]), (143,144,[0_1|2]), (144,95,[3_1|2]), (144,158,[3_1|2]), (144,193,[3_1|2]), (144,255,[3_1|2]), (144,276,[3_1|2]), (145,146,[5_1|2]), (146,147,[0_1|2]), (147,95,[3_1|2]), (147,158,[3_1|2]), (147,193,[3_1|2]), (147,255,[3_1|2]), (147,276,[3_1|2]), (148,149,[1_1|2]), (149,150,[5_1|2]), (150,151,[0_1|2]), (151,152,[2_1|2]), (152,95,[3_1|2]), (152,270,[3_1|2]), (152,290,[3_1|2]), (152,164,[3_1|2]), (153,154,[0_1|2]), (154,155,[1_1|2]), (155,156,[4_1|2]), (156,157,[3_1|2]), (157,95,[2_1|2]), (157,270,[2_1|2]), (157,290,[2_1|2]), (157,164,[2_1|2]), (158,159,[2_1|2]), (159,160,[0_1|2]), (160,161,[3_1|2]), (161,162,[5_1|2]), (162,95,[4_1|2]), (162,270,[4_1|2]), (162,290,[4_1|2]), (162,237,[4_1|2]), (162,241,[4_1|2]), (162,245,[0_1|2]), (162,250,[5_1|2]), (162,255,[3_1|2]), (162,260,[1_1|2]), (163,164,[2_1|2]), (164,165,[0_1|2]), (165,166,[1_1|2]), (166,167,[5_1|2]), (167,95,[0_1|2]), (167,270,[0_1|2]), (167,290,[0_1|2]), (167,164,[0_1|2]), (167,96,[1_1|2]), (167,99,[1_1|2]), (167,102,[1_1|2]), (167,106,[4_1|2]), (167,110,[1_1|2]), (167,114,[1_1|2]), (167,295,[4_1|2]), (167,119,[4_1|2]), (167,123,[4_1|2]), (167,128,[5_1|2]), (167,131,[5_1|2]), (167,134,[5_1|2]), (167,138,[5_1|2]), (167,142,[5_1|2]), (167,145,[5_1|2]), (167,148,[0_1|2]), (167,153,[5_1|2]), (167,158,[3_1|2]), (167,163,[1_1|2]), (167,168,[1_1|2]), (167,173,[1_1|2]), (167,178,[4_1|2]), (167,183,[0_1|2]), (167,188,[0_1|2]), (167,193,[3_1|2]), (167,198,[1_1|2]), (167,203,[0_1|2]), (167,208,[0_1|2]), (167,299,[1_1|3]), (167,302,[1_1|3]), (167,305,[1_1|3]), (167,309,[4_1|3]), (167,313,[5_1|3]), (167,316,[5_1|3]), (168,169,[5_1|2]), (169,170,[0_1|2]), (170,171,[0_1|2]), (171,172,[3_1|2]), (172,95,[2_1|2]), (172,270,[2_1|2]), (172,290,[2_1|2]), (172,189,[2_1|2]), (172,200,[2_1|2]), (173,174,[0_1|2]), (174,175,[3_1|2]), (175,176,[5_1|2]), (176,177,[4_1|2]), (177,95,[5_1|2]), (177,158,[5_1|2]), (177,193,[5_1|2]), (177,255,[5_1|2]), (177,265,[4_1|2]), (177,270,[2_1|2]), (177,275,[5_1|2]), (177,280,[5_1|2]), (177,285,[5_1|2]), (177,290,[2_1|2]), (178,179,[5_1|2]), (179,180,[5_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,95,[3_1|2]), (182,158,[3_1|2]), (182,193,[3_1|2]), (182,255,[3_1|2]), (183,184,[0_1|2]), (184,185,[4_1|2]), (185,186,[3_1|2]), (186,187,[2_1|2]), (187,95,[5_1|2]), (187,270,[5_1|2, 2_1|2]), (187,290,[5_1|2, 2_1|2]), (187,159,[5_1|2]), (187,194,[5_1|2]), (187,256,[5_1|2]), (187,265,[4_1|2]), (187,275,[5_1|2]), (187,280,[5_1|2]), (187,285,[5_1|2]), (188,189,[2_1|2]), (189,190,[0_1|2]), (190,191,[3_1|2]), (191,192,[5_1|2]), (192,95,[5_1|2]), (192,270,[5_1|2, 2_1|2]), (192,290,[5_1|2, 2_1|2]), (192,265,[4_1|2]), (192,275,[5_1|2]), (192,280,[5_1|2]), (192,285,[5_1|2]), (193,194,[2_1|2]), (194,195,[1_1|2]), (195,196,[0_1|2]), (196,197,[0_1|2]), (197,95,[3_1|2]), (197,158,[3_1|2]), (197,193,[3_1|2]), (197,255,[3_1|2]), (197,271,[3_1|2]), (198,199,[0_1|2]), (199,200,[2_1|2]), (200,201,[0_1|2]), (201,202,[0_1|2]), (202,95,[3_1|2]), (202,270,[3_1|2]), (202,290,[3_1|2]), (202,159,[3_1|2]), (202,194,[3_1|2]), (202,256,[3_1|2]), (202,112,[3_1|2]), (203,204,[0_1|2]), (204,205,[3_1|2]), (205,206,[1_1|2]), (206,207,[0_1|2]), (207,95,[3_1|2]), (207,158,[3_1|2]), (207,193,[3_1|2]), (207,255,[3_1|2]), (208,209,[4_1|2]), (209,210,[5_1|2]), (210,211,[5_1|2]), (211,212,[1_1|2]), (211,213,[1_1|2]), (211,217,[5_1|2]), (211,319,[1_1|3]), (212,95,[2_1|2]), (212,270,[2_1|2]), (212,290,[2_1|2]), (212,164,[2_1|2]), (213,214,[1_1|2]), (214,215,[5_1|2]), (215,216,[2_1|2]), (216,95,[2_1|2]), (216,270,[2_1|2]), (216,290,[2_1|2]), (216,164,[2_1|2]), (217,218,[1_1|2]), (218,219,[2_1|2]), (219,220,[3_1|2]), (220,221,[3_1|2]), (221,95,[2_1|2]), (221,158,[2_1|2]), (221,193,[2_1|2]), (221,255,[2_1|2]), (221,271,[2_1|2]), (222,223,[5_1|2]), (223,224,[1_1|2]), (224,225,[0_1|2]), (225,226,[3_1|2]), (226,95,[2_1|2]), (226,270,[2_1|2]), (226,290,[2_1|2]), (227,228,[3_1|2]), (228,229,[0_1|2]), (229,230,[0_1|2]), (230,231,[2_1|2]), (231,95,[5_1|2]), (231,270,[5_1|2, 2_1|2]), (231,290,[5_1|2, 2_1|2]), (231,265,[4_1|2]), (231,275,[5_1|2]), (231,280,[5_1|2]), (231,285,[5_1|2]), (232,233,[1_1|2]), (233,234,[3_1|2]), (234,235,[3_1|2]), (235,236,[2_1|2]), (236,95,[4_1|2]), (236,270,[4_1|2]), (236,290,[4_1|2]), (236,237,[4_1|2]), (236,241,[4_1|2]), (236,245,[0_1|2]), (236,250,[5_1|2]), (236,255,[3_1|2]), (236,260,[1_1|2]), (237,238,[1_1|2]), (238,239,[0_1|2]), (239,240,[0_1|2]), (240,95,[2_1|2]), (240,270,[2_1|2]), (240,290,[2_1|2]), (240,164,[2_1|2]), (241,242,[0_1|2]), (242,243,[0_1|2]), (243,244,[3_1|2]), (244,95,[2_1|2]), (244,270,[2_1|2]), (244,290,[2_1|2]), (244,189,[2_1|2]), (245,246,[3_1|2]), (246,247,[3_1|2]), (247,248,[3_1|2]), (248,249,[2_1|2]), (249,95,[4_1|2]), (249,158,[4_1|2]), (249,193,[4_1|2]), (249,255,[4_1|2, 3_1|2]), (249,271,[4_1|2]), (249,237,[4_1|2]), (249,241,[4_1|2]), (249,245,[0_1|2]), (249,250,[5_1|2]), (249,260,[1_1|2]), (250,251,[4_1|2]), (251,252,[3_1|2]), (252,253,[5_1|2]), (253,254,[0_1|2]), (254,95,[3_1|2]), (254,158,[3_1|2]), (254,193,[3_1|2]), (254,255,[3_1|2]), (254,276,[3_1|2]), (255,256,[2_1|2]), (256,257,[5_1|2]), (257,258,[4_1|2]), (258,259,[1_1|2]), (259,95,[1_1|2]), (259,270,[1_1|2]), (259,290,[1_1|2]), (259,164,[1_1|2]), (259,213,[1_1|2]), (259,217,[5_1|2]), (259,222,[0_1|2]), (259,227,[1_1|2]), (259,232,[5_1|2]), (260,261,[3_1|2]), (261,262,[0_1|2]), (262,263,[4_1|2]), (263,264,[3_1|2]), (264,95,[2_1|2]), (264,270,[2_1|2]), (264,290,[2_1|2]), (264,164,[2_1|2]), (265,266,[5_1|2]), (266,267,[0_1|2]), (267,268,[2_1|2]), (268,269,[3_1|2]), (269,95,[2_1|2]), (269,270,[2_1|2]), (269,290,[2_1|2]), (269,189,[2_1|2]), (270,271,[3_1|2]), (271,272,[2_1|2]), (272,273,[4_1|2]), (273,274,[1_1|2]), (274,95,[5_1|2]), (274,270,[5_1|2, 2_1|2]), (274,290,[5_1|2, 2_1|2]), (274,164,[5_1|2]), (274,265,[4_1|2]), (274,275,[5_1|2]), (274,280,[5_1|2]), (274,285,[5_1|2]), (275,276,[3_1|2]), (276,277,[3_1|2]), (277,278,[2_1|2]), (278,279,[0_1|2]), (279,95,[2_1|2]), (279,270,[2_1|2]), (279,290,[2_1|2]), (280,281,[5_1|2]), (281,282,[3_1|2]), (282,283,[0_1|2]), (283,284,[2_1|2]), (284,95,[4_1|2]), (284,270,[4_1|2]), (284,290,[4_1|2]), (284,237,[4_1|2]), (284,241,[4_1|2]), (284,245,[0_1|2]), (284,250,[5_1|2]), (284,255,[3_1|2]), (284,260,[1_1|2]), (285,286,[1_1|2]), (286,287,[3_1|2]), (287,288,[2_1|2]), (288,289,[2_1|2]), (289,95,[2_1|2]), (289,270,[2_1|2]), (289,290,[2_1|2]), (290,291,[5_1|2]), (291,292,[5_1|2]), (292,293,[1_1|2]), (293,294,[5_1|2]), (293,275,[5_1|2]), (293,280,[5_1|2]), (293,285,[5_1|2]), (293,290,[2_1|2]), (294,95,[3_1|2]), (294,270,[3_1|2]), (294,290,[3_1|2]), (295,296,[5_1|2]), (296,297,[1_1|2]), (297,298,[0_1|2]), (298,106,[2_1|2]), (298,119,[2_1|2]), (298,123,[2_1|2]), (298,178,[2_1|2]), (298,237,[2_1|2]), (298,241,[2_1|2]), (298,265,[2_1|2]), (298,295,[2_1|2]), (299,300,[0_1|3]), (300,301,[0_1|3]), (301,164,[2_1|3]), (302,303,[0_1|3]), (303,304,[3_1|3]), (304,164,[2_1|3]), (305,306,[0_1|3]), (306,307,[0_1|3]), (307,308,[3_1|3]), (308,164,[2_1|3]), (309,310,[5_1|3]), (310,311,[1_1|3]), (311,312,[0_1|3]), (312,164,[2_1|3]), (313,314,[0_1|3]), (314,315,[0_1|3]), (315,276,[3_1|3]), (316,317,[5_1|3]), (317,318,[0_1|3]), (318,276,[3_1|3]), (319,320,[1_1|3]), (320,321,[5_1|3]), (321,322,[2_1|3]), (322,164,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)