Solved ProjectEuler/011: php, ruby
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18
ProjectEuler/011/desc.yml
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ProjectEuler/011/desc.yml
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title: What is the greatest product of four adjacent numbers on the same straight line in the 20 by 20 grid?
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url: http://projecteuler.net/problem=11
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desc: |
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In the 2020 grid below, four numbers along a diagonal line have been marked in red.
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What is the greatest product of four adjacent numbers in any direction (up, down, left, right, or diagonally) in the 2020 grid?
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(See file input)
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solution: |
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Bruteforce (Unless someone found a smarter way)
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solutions:
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solve.php:
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desc: Expects the matrix as stdin
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language: php
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solve.rb:
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desc: Expects the matrix as stdin
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language: ruby
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20
ProjectEuler/011/input
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20
ProjectEuler/011/input
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
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32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
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67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
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24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
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21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
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39
ProjectEuler/011/solve.php
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ProjectEuler/011/solve.php
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<?php
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foreach(file('php://stdin') as $line) {
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$matrix[] = explode(' ', $line);
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}
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$max = 0;
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//Left and right
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for ($y = 0; $y < 19; $y++) {
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for ($x = 0; $x < 16; $x++) {
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$cmp = $matrix[$y][$x] * $matrix[$y][$x + 1] * $matrix[$y][$x + 2] * $matrix[$y][$x + 3];
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$max = ($cmp > $max) ? $cmp : $max;
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}
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}
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//Vertical
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for($x = 0; $x < 19; $x++) {
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for ($y = 0; $y < 16; $y++) {
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$cmp = $matrix[$y][$x] * $matrix[$y + 1][$x] * $matrix[$y + 2][$x] * $matrix[$y + 3][$x];
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$max = ($cmp > $max) ? $cmp : $max;
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}
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}
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//Diagonally left->down
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for($x = 0; $x < 16; $x++) {
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for ($y = 0; $y < 16; $y++) {
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$cmp = $matrix[$y][$x] * $matrix[$y + 1][$x + 1] * $matrix[$y + 2][$x + 2] * $matrix[$y + 3][$x + 3];
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$max = ($cmp > $max) ? $cmp : $max;
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}
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}
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//Diagonally right->down
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for($x = 4; $x < 19; $x++) {
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for ($y = 0; $y < 16; $y++) {
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$cmp = $matrix[$y][$x] * $matrix[$y + 1][$x - 1] * $matrix[$y + 2][$x - 2] * $matrix[$y + 3][$x - 3];
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$max = ($cmp > $max) ? $cmp : $max;
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}
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}
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echo $max;
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53
ProjectEuler/011/solve.rb
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ProjectEuler/011/solve.rb
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matrix = []
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linenum = 0
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ARGF.lines("\n") do |line|
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matrix[linenum] = Array.new
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line.split.each do |str|
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matrix[linenum] << str.to_i
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end
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linenum += 1
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end
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max = 0
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max = 0;
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#Left and right
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(0..19).each do |y|
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(0..16).each do |x|
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cmp = matrix[y][x] * matrix[y][x + 1] * matrix[y][x + 2] * matrix[y][x + 3];
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if (cmp > max)
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max = cmp
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end
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end
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end
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#Vertical
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(0..16).each do |y|
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(0..19).each do |x|
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cmp = matrix[y][x] * matrix[y + 1][x] * matrix[y + 2][x] * matrix[y + 3][x];
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if (cmp > max)
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max = cmp
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end
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end
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end
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#Diagonally left->down
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(0..16).each do |y|
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(0..16).each do |x|
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cmp = matrix[y][x] * matrix[y + 1][x + 1] * matrix[y + 2][x + 2] * matrix[y + 3][x + 3];
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if (cmp > max)
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max = cmp
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end
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end
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end
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#Diagonally right->down
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(0..16).each do |y|
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(3..19).each do |x|
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cmp = matrix[y][x] * matrix[y + 1][x - 1] * matrix[y + 2][x - 2] * matrix[y + 3][x - 3];
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if (cmp > max)
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max = cmp
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end
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end
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end
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puts max
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