71 lines
6.6 KiB
MiniZinc
71 lines
6.6 KiB
MiniZinc
predicate fzn_all_different_int(array [int] of var int: x);
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predicate count(array [int] of var int: x, var int: y, var int: c);
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predicate fixed_fzn_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, int: b);
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predicate global_cardinality(array [int] of var int: x, array [int] of int: cover, array [int] of var int: counts);
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predicate maximum_int(var int: m, array [int] of var int: x);
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predicate minimum_int(var int: m, array [int] of var int: x);
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predicate sliding_sum(int: low, int: up, int: seq, array [int] of var int: vs);
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predicate sort(array [int] of var int: x, array [int] of var int: y);
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predicate table_bool(array [int] of var bool: x, array [int, int] of bool: t);
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predicate table_int(array [int] of var int: x, array [int, int] of int: t);
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predicate var_fzn_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, var int: b);
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array [1..261] of int: P = [1, 1, 1, 2, 0, 0, 0, 0, 3, 1, 3, 1, 4, 1, 5, 0, 0, 15, 1, 6, 2, 5, 2, 6, 3, 5, 22, 1, 7, 2, 7, 0, 0, 0, 0, 4, 1, 8, 2, 8, 0, 0, 0, 0, 16, 1, 9, 2, 9, 3, 9, 4, 9, 15, 2, 1, 2, 2, 3, 1, 3, 2, 25, 2, 3, 2, 4, 0, 0, 0, 0, 17, 3, 3, 3, 4, 4, 4, 0, 0, 9, 3, 6, 4, 6, 5, 6, 0, 0, 8, 3, 7, 3, 8, 4, 7, 0, 0, 20, 4, 1, 5, 1, 0, 0, 0, 0, 6, 4, 2, 4, 3, 0, 0, 0, 0, 14, 4, 5, 5, 5, 6, 5, 0, 0, 17, 4, 8, 5, 7, 5, 8, 0, 0, 17, 5, 2, 5, 3, 6, 2, 0, 0, 13, 5, 4, 6, 4, 7, 4, 0, 0, 20, 5, 9, 6, 9, 0, 0, 0, 0, 12, 6, 1, 7, 1, 8, 1, 9, 1, 27, 6, 3, 7, 2, 7, 3, 0, 0, 6, 6, 6, 7, 6, 7, 7, 0, 0, 20, 6, 7, 6, 8, 0, 0, 0, 0, 6, 7, 5, 8, 4, 8, 5, 9, 4, 10, 7, 8, 7, 9, 8, 8, 8, 9, 14, 8, 2, 9, 2, 0, 0, 0, 0, 8, 8, 3, 9, 3, 0, 0, 0, 0, 16, 8, 6, 8, 7, 0, 0, 0, 0, 15, 9, 5, 9, 6, 9, 7, 0, 0, 13, 9, 8, 9, 9, 0, 0, 0, 0, 17];
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array [1..81] of var 1..9: x :: output_array([1..9, 1..9]);
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constraint fzn_all_different_int([x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9]]);
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constraint fzn_all_different_int([x[1], x[2], x[3], x[10], x[11], x[12], x[19], x[20], x[21]]);
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constraint fzn_all_different_int([x[1], x[10], x[19], x[28], x[37], x[46], x[55], x[64], x[73]]);
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constraint fzn_all_different_int([x[2], x[11], x[20], x[29], x[38], x[47], x[56], x[65], x[74]]);
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constraint fzn_all_different_int([x[3], x[12], x[21], x[30], x[39], x[48], x[57], x[66], x[75]]);
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constraint fzn_all_different_int([x[4], x[5], x[6], x[13], x[14], x[15], x[22], x[23], x[24]]);
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constraint fzn_all_different_int([x[4], x[13], x[22], x[31], x[40], x[49], x[58], x[67], x[76]]);
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constraint fzn_all_different_int([x[5], x[14], x[23], x[32], x[41], x[50], x[59], x[68], x[77]]);
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constraint fzn_all_different_int([x[6], x[15], x[24], x[33], x[42], x[51], x[60], x[69], x[78]]);
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constraint fzn_all_different_int([x[7], x[8], x[9], x[16], x[17], x[18], x[25], x[26], x[27]]);
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constraint fzn_all_different_int([x[7], x[16], x[25], x[34], x[43], x[52], x[61], x[70], x[79]]);
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constraint fzn_all_different_int([x[8], x[17], x[26], x[35], x[44], x[53], x[62], x[71], x[80]]);
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constraint fzn_all_different_int([x[9], x[18], x[27], x[36], x[45], x[54], x[63], x[72], x[81]]);
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constraint fzn_all_different_int([x[10], x[11], x[12], x[13], x[14], x[15], x[16], x[17], x[18]]);
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constraint fzn_all_different_int([x[19], x[20], x[21], x[22], x[23], x[24], x[25], x[26], x[27]]);
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constraint fzn_all_different_int([x[28], x[29], x[30], x[31], x[32], x[33], x[34], x[35], x[36]]);
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constraint fzn_all_different_int([x[28], x[29], x[30], x[37], x[38], x[39], x[46], x[47], x[48]]);
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constraint fzn_all_different_int([x[31], x[32], x[33], x[40], x[41], x[42], x[49], x[50], x[51]]);
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constraint fzn_all_different_int([x[34], x[35], x[36], x[43], x[44], x[45], x[52], x[53], x[54]]);
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constraint fzn_all_different_int([x[37], x[38], x[39], x[40], x[41], x[42], x[43], x[44], x[45]]);
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constraint fzn_all_different_int([x[46], x[47], x[48], x[49], x[50], x[51], x[52], x[53], x[54]]);
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constraint fzn_all_different_int([x[55], x[56], x[57], x[58], x[59], x[60], x[61], x[62], x[63]]);
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constraint fzn_all_different_int([x[55], x[56], x[57], x[64], x[65], x[66], x[73], x[74], x[75]]);
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constraint fzn_all_different_int([x[58], x[59], x[60], x[67], x[68], x[69], x[76], x[77], x[78]]);
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constraint fzn_all_different_int([x[61], x[62], x[63], x[70], x[71], x[72], x[79], x[80], x[81]]);
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constraint fzn_all_different_int([x[64], x[65], x[66], x[67], x[68], x[69], x[70], x[71], x[72]]);
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constraint fzn_all_different_int([x[73], x[74], x[75], x[76], x[77], x[78], x[79], x[80], x[81]]);
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constraint int_lin_eq([1, 1], [x[1], x[2]], 3);
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constraint int_lin_eq([1, 1], [x[7], x[16]], 4);
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constraint int_lin_eq([1, 1], [x[8], x[17]], 16);
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constraint int_lin_eq([1, 1], [x[12], x[13]], 17);
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constraint int_lin_eq([1, 1], [x[28], x[37]], 6);
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constraint int_lin_eq([1, 1], [x[29], x[30]], 14);
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constraint int_lin_eq([1, 1], [x[45], x[54]], 12);
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constraint int_lin_eq([1, 1], [x[52], x[53]], 6);
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constraint int_lin_eq([1, 1], [x[65], x[74]], 8);
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constraint int_lin_eq([1, 1], [x[66], x[75]], 16);
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constraint int_lin_eq([1, 1], [x[69], x[70]], 15);
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constraint int_lin_eq([1, 1], [x[80], x[81]], 17);
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constraint int_lin_eq([1, 1, 1], [x[3], x[4], x[5]], 15);
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constraint int_lin_eq([1, 1, 1], [x[21], x[22], x[31]], 9);
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constraint int_lin_eq([1, 1, 1], [x[24], x[33], x[42]], 8);
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constraint int_lin_eq([1, 1, 1], [x[25], x[26], x[34]], 20);
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constraint int_lin_eq([1, 1, 1], [x[32], x[41], x[50]], 17);
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constraint int_lin_eq([1, 1, 1], [x[35], x[43], x[44]], 17);
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constraint int_lin_eq([1, 1, 1], [x[38], x[39], x[47]], 13);
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constraint int_lin_eq([1, 1, 1], [x[40], x[49], x[58]], 20);
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constraint int_lin_eq([1, 1, 1], [x[48], x[56], x[57]], 6);
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constraint int_lin_eq([1, 1, 1], [x[51], x[60], x[61]], 20);
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constraint int_lin_eq([1, 1, 1], [x[77], x[78], x[79]], 13);
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constraint int_lin_eq([1, 1, 1, 1], [x[6], x[14], x[15], x[23]], 22);
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constraint int_lin_eq([1, 1, 1, 1], [x[9], x[18], x[27], x[36]], 15);
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constraint int_lin_eq([1, 1, 1, 1], [x[10], x[11], x[19], x[20]], 25);
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constraint int_lin_eq([1, 1, 1, 1], [x[46], x[55], x[64], x[73]], 27);
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constraint int_lin_eq([1, 1, 1, 1], [x[59], x[67], x[68], x[76]], 10);
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constraint int_lin_eq([1, 1, 1, 1], [x[62], x[63], x[71], x[72]], 14);
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solve :: int_search([x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9], x[10], x[11], x[12], x[13], x[14], x[15], x[16], x[17], x[18], x[19], x[20], x[21], x[22], x[23], x[24], x[25], x[26], x[27], x[28], x[29], x[30], x[31], x[32], x[33], x[34], x[35], x[36], x[37], x[38], x[39], x[40], x[41], x[42], x[43], x[44], x[45], x[46], x[47], x[48], x[49], x[50], x[51], x[52], x[53], x[54], x[55], x[56], x[57], x[58], x[59], x[60], x[61], x[62], x[63], x[64], x[65], x[66], x[67], x[68], x[69], x[70], x[71], x[72], x[73], x[74], x[75], x[76], x[77], x[78], x[79], x[80], x[81]], first_fail, indomain_min, complete) satisfy;
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