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EXAMPLE
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13 positive solutions to the Diophantine equation 43x+7y+17z=400 in lexicographic order: {x, y, z}: {1, 17, 14}, {1, 34, 7}, {2, 6, 16}, {2, 23, 9}, {2, 40, 2}, {3, 12, 11}, {3, 29, 4}, {4, 1, 13}, {4, 18, 6}, {5, 7, 8}, {5, 24, 1}, {6, 13, 3}, {7, 2, 5}.
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