WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 44 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 268 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1)))))) 3(4(2(0(3(x1))))) -> 2(3(0(2(3(4(x1)))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1)))))) 3(4(2(0(3(x1))))) -> 2(3(0(2(3(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1)))))) 3(4(2(0(3(x1))))) -> 2(3(0(2(3(4(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1)))))) 3(4(2(0(3(x1))))) -> 2(3(0(2(3(4(x1)))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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 5. The certificate found is represented by the following graph. "[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, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003] {(73,74,[0_1|0, 1_1|0, 3_1|0, 4_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (73,75,[2_1|1, 5_1|1, 0_1|1, 1_1|1, 3_1|1, 4_1|1]), (73,76,[1_1|2]), (73,80,[0_1|2]), (73,85,[0_1|2]), (73,88,[2_1|2]), (73,93,[3_1|2]), (73,98,[0_1|2]), (73,101,[0_1|2]), (73,106,[0_1|2]), (73,111,[0_1|2]), (73,116,[0_1|2]), 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(727,106,[2_1|4]), (727,111,[2_1|4]), (727,116,[2_1|4]), (727,127,[2_1|4]), (727,182,[2_1|4]), (727,192,[2_1|4]), (727,286,[2_1|4]), (727,303,[2_1|4]), (727,316,[2_1|4]), (727,321,[2_1|4]), (727,112,[2_1|4]), (727,535,[2_1|4]), (727,113,[2_1|4]), (727,735,[2_1|4]), (727,95,[2_1|4]), (728,729,[2_1|4]), (729,730,[0_1|4]), (729,995,[1_1|5]), (729,999,[0_1|5]), (730,535,[0_1|4]), (731,732,[0_1|4]), (732,733,[2_1|4]), (733,734,[0_1|4]), (734,535,[2_1|4]), (735,736,[2_1|4]), (736,737,[3_1|4]), (737,738,[4_1|4]), (738,739,[0_1|4]), (739,535,[2_1|4]), (740,741,[0_1|4]), (741,742,[2_1|4]), (742,743,[0_1|4]), (743,650,[2_1|4]), (743,308,[2_1|4]), (743,515,[2_1|4]), (743,526,[2_1|4]), (744,745,[2_1|4]), (745,746,[3_1|4]), (746,747,[4_1|4]), (747,748,[0_1|4]), (748,650,[2_1|4]), (748,308,[2_1|4]), (748,515,[2_1|4]), (748,526,[2_1|4]), (749,750,[2_1|4]), (750,751,[3_1|4]), (751,169,[2_1|4]), (752,753,[0_1|4]), (753,754,[2_1|4]), (754,755,[1_1|4]), (755,169,[3_1|4]), (756,757,[3_1|4]), (757,758,[0_1|4]), (758,759,[2_1|4]), (759,169,[2_1|4]), (760,761,[2_1|4]), (761,762,[2_1|4]), (762,763,[2_1|4]), (763,764,[3_1|4]), (764,169,[2_1|4]), (765,766,[0_1|4]), (766,767,[2_1|4]), (767,768,[0_1|4]), (768,354,[2_1|4]), (768,774,[2_1|4]), (768,785,[2_1|4]), (769,770,[2_1|4]), (770,771,[3_1|4]), (771,772,[4_1|4]), (772,773,[0_1|4]), (773,354,[2_1|4]), (773,774,[2_1|4]), (773,785,[2_1|4]), (774,775,[2_1|4]), (775,776,[3_1|4]), (776,355,[2_1|4]), (777,778,[0_1|4]), (778,779,[2_1|4]), (779,780,[1_1|4]), (780,355,[3_1|4]), (781,782,[3_1|4]), (782,783,[0_1|4]), (783,784,[2_1|4]), (784,355,[2_1|4]), (785,786,[2_1|4]), (786,787,[2_1|4]), (787,788,[2_1|4]), (788,789,[3_1|4]), (789,355,[2_1|4]), (790,791,[0_1|4]), (791,792,[2_1|4]), (792,793,[0_1|4]), (793,358,[2_1|4]), (794,795,[2_1|4]), (795,796,[3_1|4]), (796,797,[4_1|4]), (797,798,[0_1|4]), (798,358,[2_1|4]), (799,800,[0_1|4]), (800,801,[2_1|4]), (801,802,[0_1|4]), (802,515,[2_1|4]), (802,526,[2_1|4]), (803,804,[2_1|4]), (804,805,[3_1|4]), (805,806,[4_1|4]), (806,807,[0_1|4]), (807,515,[2_1|4]), (807,526,[2_1|4]), (808,809,[0_1|4]), (809,810,[2_1|4]), (810,811,[0_1|4]), (811,112,[2_1|4]), (811,535,[2_1|4]), (811,113,[2_1|4]), (811,203,[2_1|4]), (811,95,[2_1|4]), (812,813,[2_1|4]), (813,814,[3_1|4]), (814,815,[4_1|4]), (815,816,[0_1|4]), (816,112,[2_1|4]), (816,535,[2_1|4]), (816,113,[2_1|4]), (816,203,[2_1|4]), (816,95,[2_1|4]), (817,818,[0_1|4]), (818,819,[2_1|4]), (819,820,[0_1|4]), (820,418,[2_1|4]), (820,826,[2_1|4]), (820,837,[2_1|4]), (821,822,[2_1|4]), (822,823,[3_1|4]), (823,824,[4_1|4]), (824,825,[0_1|4]), (825,418,[2_1|4]), (825,826,[2_1|4]), (825,837,[2_1|4]), (826,827,[2_1|4]), (827,828,[3_1|4]), (828,419,[2_1|4]), (829,830,[0_1|4]), (830,831,[2_1|4]), (831,832,[1_1|4]), (832,419,[3_1|4]), (833,834,[3_1|4]), (834,835,[0_1|4]), (835,836,[2_1|4]), (836,419,[2_1|4]), (837,838,[2_1|4]), (838,839,[2_1|4]), (839,840,[2_1|4]), (840,841,[3_1|4]), (841,419,[2_1|4]), (842,843,[5_1|4]), (843,844,[1_1|4]), (844,845,[0_1|4]), (845,846,[2_1|4]), (846,308,[1_1|4]), (847,848,[3_1|4]), (848,849,[0_1|4]), (849,850,[2_1|4]), (850,851,[3_1|4]), (851,183,[4_1|4]), (852,853,[2_1|4]), (853,854,[3_1|4]), (854,183,[2_1|4]), (855,856,[0_1|4]), (856,857,[2_1|4]), (857,858,[1_1|4]), (858,183,[3_1|4]), (859,860,[3_1|4]), (860,861,[0_1|4]), (861,862,[2_1|4]), (862,183,[2_1|4]), (863,864,[2_1|4]), (864,865,[2_1|4]), (865,866,[2_1|4]), (866,867,[3_1|4]), (867,183,[2_1|4]), (868,869,[2_1|4]), (869,870,[3_1|4]), (870,871,[4_1|4]), (871,872,[2_1|4]), (872,642,[0_1|4]), (873,874,[2_1|4]), (874,875,[3_1|4]), (875,641,[2_1|4]), (876,877,[0_1|4]), (877,878,[2_1|4]), (878,879,[1_1|4]), (879,641,[3_1|4]), (880,881,[3_1|4]), (881,882,[0_1|4]), (882,883,[2_1|4]), (883,641,[2_1|4]), (884,885,[2_1|4]), (885,886,[2_1|4]), (886,887,[2_1|4]), (887,888,[3_1|4]), (888,641,[2_1|4]), (889,890,[0_1|3]), (890,891,[1_1|3]), (891,892,[2_1|3]), (892,173,[3_1|3]), (892,177,[3_1|3]), (892,233,[3_1|3]), (892,183,[3_1|3]), (893,894,[5_1|4]), (894,895,[1_1|4]), (895,896,[0_1|4]), (896,897,[2_1|4]), (897,425,[1_1|4]), (898,899,[2_1|4]), (899,900,[3_1|4]), (900,300,[2_1|4]), (900,324,[2_1|4]), (900,327,[2_1|4]), (900,328,[2_1|4]), (901,902,[0_1|4]), (902,903,[2_1|4]), (903,904,[1_1|4]), (904,300,[3_1|4]), (904,324,[3_1|4]), (904,327,[3_1|4]), (904,328,[3_1|4]), (905,906,[3_1|4]), (906,907,[0_1|4]), (907,908,[2_1|4]), (908,300,[2_1|4]), (908,324,[2_1|4]), (908,327,[2_1|4]), (908,328,[2_1|4]), (909,910,[2_1|4]), (910,911,[2_1|4]), (911,912,[2_1|4]), (912,913,[3_1|4]), (913,300,[2_1|4]), (913,324,[2_1|4]), (913,327,[2_1|4]), (913,328,[2_1|4]), (914,915,[0_1|4]), (915,916,[2_1|4]), (916,917,[3_1|4]), (917,918,[4_1|4]), (918,301,[0_1|4]), (918,325,[0_1|4]), (919,920,[0_1|4]), (920,921,[2_1|4]), (921,922,[0_1|4]), (922,303,[2_1|4]), (922,316,[2_1|4]), (922,321,[2_1|4]), (922,458,[2_1|4]), (922,665,[2_1|4]), (922,676,[2_1|4]), (922,535,[2_1|4]), (922,650,[2_1|4]), (922,494,[2_1|4]), (922,301,[2_1|4]), (922,325,[2_1|4]), (922,308,[2_1|4]), (923,924,[2_1|4]), (924,925,[3_1|4]), (925,926,[4_1|4]), (926,927,[0_1|4]), (927,303,[2_1|4]), (927,316,[2_1|4]), (927,321,[2_1|4]), (927,458,[2_1|4]), (927,665,[2_1|4]), (927,676,[2_1|4]), (927,535,[2_1|4]), (927,650,[2_1|4]), (927,494,[2_1|4]), (927,301,[2_1|4]), (927,325,[2_1|4]), (927,308,[2_1|4]), (928,929,[5_1|4]), (929,930,[2_1|4]), (930,304,[0_1|4]), (931,932,[5_1|4]), (932,933,[2_1|4]), (933,934,[4_1|4]), (934,308,[0_1|4]), (935,936,[0_1|4]), (936,937,[2_1|4]), (937,938,[3_1|4]), (938,939,[2_1|4]), (939,308,[0_1|4]), (940,941,[0_1|4]), (941,942,[2_1|4]), (942,943,[0_1|4]), (943,458,[2_1|4]), (943,665,[2_1|4]), (943,676,[2_1|4]), (943,301,[2_1|4]), (943,325,[2_1|4]), (944,945,[2_1|4]), (945,946,[3_1|4]), (946,947,[4_1|4]), (947,948,[0_1|4]), (948,458,[2_1|4]), (948,665,[2_1|4]), (948,676,[2_1|4]), (948,301,[2_1|4]), (948,325,[2_1|4]), (949,950,[3_1|4]), (950,951,[0_1|4]), (951,952,[2_1|4]), (952,953,[3_1|4]), (953,173,[4_1|4]), (953,177,[4_1|4]), (953,233,[4_1|4]), (953,183,[4_1|4]), (954,955,[2_1|4]), (955,956,[3_1|4]), (956,173,[2_1|4]), (956,177,[2_1|4]), (956,233,[2_1|4]), (956,183,[2_1|4]), (957,958,[0_1|4]), (958,959,[2_1|4]), (959,960,[1_1|4]), (960,173,[3_1|4]), (960,177,[3_1|4]), (960,233,[3_1|4]), (960,183,[3_1|4]), (961,962,[3_1|4]), (962,963,[0_1|4]), (963,964,[2_1|4]), (964,173,[2_1|4]), (964,177,[2_1|4]), (964,233,[2_1|4]), (964,183,[2_1|4]), (965,966,[2_1|4]), (966,967,[2_1|4]), (967,968,[2_1|4]), (968,969,[3_1|4]), (969,173,[2_1|4]), (969,177,[2_1|4]), (969,233,[2_1|4]), (969,183,[2_1|4]), (970,971,[0_1|3]), (971,972,[2_1|3]), (972,973,[0_1|3]), (973,180,[2_1|3]), (974,975,[2_1|3]), (975,976,[3_1|3]), (976,977,[4_1|3]), (977,978,[0_1|3]), (978,180,[2_1|3]), (979,980,[2_1|4]), (980,981,[3_1|4]), (981,328,[2_1|4]), (982,983,[0_1|4]), (983,984,[2_1|4]), (984,985,[1_1|4]), (985,328,[3_1|4]), (986,987,[3_1|4]), (987,988,[0_1|4]), (988,989,[2_1|4]), (989,328,[2_1|4]), (990,991,[2_1|4]), (991,992,[2_1|4]), (992,993,[2_1|4]), (993,994,[3_1|4]), (994,328,[2_1|4]), (995,996,[0_1|5]), (996,997,[2_1|5]), (997,998,[0_1|5]), (998,535,[2_1|5]), (999,1000,[2_1|5]), (1000,1001,[3_1|5]), (1001,1002,[4_1|5]), (1002,1003,[0_1|5]), (1003,535,[2_1|5])}" ---------------------------------------- (8) BOUNDS(1, n^1)