Created
April 5, 2011 18:17
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My attempt at solving the Greplin puzzle #3
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| SET = [ 3, 4, 9, 14, 15, 19, 28, 37, 47, 50, 54, 56, 59, 61, 70, 73, 78, 81, 92, 95, 97, 99 ] | |
| def find_with(set, target, expr = [ ], res = [ ]) | |
| lowset = set.select { |e| e <= target } | |
| lowset.each do |n| | |
| expr2 = expr + [n] | |
| if n == target | |
| res << "#{expr2.sort.join(' + ')} = #{expr2.inject(:+)}" unless expr.empty? | |
| else | |
| find_with(lowset - [n], target - n, expr2, res) | |
| end | |
| end | |
| res | |
| end | |
| SET.each { |n| puts find_with(SET, n).uniq } |
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4 + 15 = 19
4 + 9 + 15 = 28
9 + 19 = 28
3 + 15 + 19 = 37
4 + 14 + 19 = 37
9 + 28 = 37
4 + 9 + 15 + 19 = 47
4 + 15 + 28 = 47
19 + 28 = 47
3 + 4 + 9 + 15 + 19 = 50
3 + 4 + 15 + 28 = 50
3 + 19 + 28 = 50
3 + 47 = 50
4 + 9 + 37 = 50
3 + 4 + 19 + 28 = 54
3 + 4 + 47 = 54
3 + 9 + 14 + 28 = 54
3 + 14 + 37 = 54
4 + 50 = 54
4 + 9 + 15 + 28 = 56
4 + 15 + 37 = 56
9 + 19 + 28 = 56
9 + 47 = 56
19 + 37 = 56
3 + 4 + 9 + 15 + 28 = 59
3 + 4 + 15 + 37 = 59
3 + 9 + 19 + 28 = 59
3 + 9 + 47 = 59
3 + 19 + 37 = 59
3 + 56 = 59
9 + 50 = 59
3 + 4 + 54 = 61
4 + 9 + 14 + 15 + 19 = 61
4 + 14 + 15 + 28 = 61
9 + 15 + 37 = 61
14 + 19 + 28 = 61
14 + 47 = 61
3 + 4 + 9 + 54 = 70
4 + 9 + 14 + 15 + 28 = 70
4 + 14 + 15 + 37 = 70
4 + 19 + 47 = 70
9 + 14 + 19 + 28 = 70
9 + 14 + 47 = 70
9 + 61 = 70
14 + 19 + 37 = 70
14 + 56 = 70
3 + 4 + 9 + 14 + 15 + 28 = 73
3 + 4 + 14 + 15 + 37 = 73
3 + 4 + 19 + 47 = 73
3 + 9 + 14 + 19 + 28 = 73
3 + 9 + 14 + 47 = 73
3 + 9 + 61 = 73
3 + 14 + 19 + 37 = 73
3 + 14 + 56 = 73
3 + 70 = 73
4 + 15 + 54 = 73
4 + 19 + 50 = 73
9 + 14 + 50 = 73
14 + 59 = 73
19 + 54 = 73
3 + 4 + 9 + 15 + 19 + 28 = 78
3 + 4 + 9 + 15 + 47 = 78
3 + 4 + 15 + 19 + 37 = 78
3 + 4 + 15 + 56 = 78
3 + 9 + 14 + 15 + 37 = 78
3 + 9 + 19 + 47 = 78
3 + 14 + 61 = 78
3 + 19 + 56 = 78
3 + 28 + 47 = 78
4 + 9 + 15 + 50 = 78
4 + 9 + 28 + 37 = 78
4 + 15 + 59 = 78
9 + 15 + 54 = 78
9 + 19 + 50 = 78
19 + 59 = 78
28 + 50 = 78
3 + 4 + 9 + 15 + 50 = 81
3 + 4 + 9 + 28 + 37 = 81
3 + 4 + 15 + 59 = 81
3 + 9 + 15 + 54 = 81
3 + 9 + 19 + 50 = 81
3 + 19 + 59 = 81
3 + 28 + 50 = 81
3 + 78 = 81
4 + 9 + 14 + 54 = 81
15 + 19 + 47 = 81
3 + 4 + 9 + 14 + 15 + 19 + 28 = 92
3 + 4 + 9 + 14 + 15 + 47 = 92
3 + 4 + 9 + 15 + 61 = 92
3 + 4 + 14 + 15 + 19 + 37 = 92
3 + 4 + 14 + 15 + 56 = 92
3 + 4 + 15 + 70 = 92
3 + 9 + 14 + 19 + 47 = 92
3 + 9 + 15 + 28 + 37 = 92
3 + 9 + 19 + 61 = 92
3 + 14 + 19 + 56 = 92
3 + 14 + 28 + 47 = 92
3 + 19 + 70 = 92
3 + 28 + 61 = 92
4 + 9 + 14 + 15 + 50 = 92
4 + 9 + 14 + 28 + 37 = 92
4 + 14 + 15 + 59 = 92
4 + 15 + 19 + 54 = 92
4 + 15 + 73 = 92
9 + 14 + 15 + 54 = 92
9 + 14 + 19 + 50 = 92
14 + 19 + 59 = 92
14 + 28 + 50 = 92
14 + 78 = 92
19 + 73 = 92
3 + 4 + 9 + 14 + 15 + 50 = 95
3 + 4 + 9 + 14 + 28 + 37 = 95
3 + 4 + 14 + 15 + 59 = 95
3 + 4 + 15 + 19 + 54 = 95
3 + 4 + 15 + 73 = 95
3 + 9 + 14 + 15 + 54 = 95
3 + 9 + 14 + 19 + 50 = 95
3 + 14 + 19 + 59 = 95
3 + 14 + 28 + 50 = 95
3 + 14 + 78 = 95
3 + 19 + 73 = 95
3 + 92 = 95
4 + 9 + 28 + 54 = 95
4 + 37 + 54 = 95
14 + 15 + 19 + 47 = 95
14 + 81 = 95
15 + 19 + 61 = 95
3 + 4 + 9 + 15 + 19 + 47 = 97
3 + 4 + 9 + 81 = 97
3 + 4 + 14 + 15 + 61 = 97
3 + 4 + 15 + 19 + 56 = 97
3 + 4 + 15 + 28 + 47 = 97
3 + 9 + 14 + 15 + 19 + 37 = 97
3 + 9 + 14 + 15 + 56 = 97
3 + 9 + 15 + 70 = 97
3 + 14 + 15 + 28 + 37 = 97
3 + 14 + 19 + 61 = 97
3 + 19 + 28 + 47 = 97
4 + 9 + 14 + 70 = 97
4 + 9 + 15 + 19 + 50 = 97
4 + 9 + 19 + 28 + 37 = 97
4 + 9 + 28 + 56 = 97
4 + 9 + 37 + 47 = 97
4 + 15 + 19 + 59 = 97
4 + 15 + 28 + 50 = 97
4 + 15 + 78 = 97
4 + 37 + 56 = 97
9 + 14 + 15 + 59 = 97
9 + 15 + 19 + 54 = 97
9 + 15 + 73 = 97
15 + 28 + 54 = 97
19 + 28 + 50 = 97
19 + 78 = 97
47 + 50 = 97
3 + 4 + 9 + 14 + 15 + 54 = 99
3 + 4 + 9 + 14 + 19 + 50 = 99
3 + 4 + 14 + 19 + 59 = 99
3 + 4 + 14 + 28 + 50 = 99
3 + 4 + 14 + 78 = 99
3 + 4 + 19 + 73 = 99
3 + 4 + 92 = 99
3 + 9 + 14 + 19 + 54 = 99
3 + 9 + 14 + 73 = 99
3 + 9 + 28 + 59 = 99
3 + 9 + 37 + 50 = 99
3 + 14 + 28 + 54 = 99
3 + 15 + 81 = 99
3 + 37 + 59 = 99
4 + 14 + 15 + 19 + 47 = 99
4 + 14 + 81 = 99
4 + 15 + 19 + 61 = 99
4 + 95 = 99
9 + 14 + 15 + 61 = 99
9 + 15 + 19 + 56 = 99
9 + 15 + 28 + 47 = 99
14 + 15 + 70 = 99
15 + 19 + 28 + 37 = 99
15 + 28 + 56 = 99
15 + 37 + 47 = 99