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May 19th, 2019
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  1. use std::time::Instant;
  2.  
  3. pub const MATRIX: &str = "08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
  4. 49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
  5. 81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
  6. 52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
  7. 22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
  8. 24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
  9. 32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
  10. 67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
  11. 24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
  12. 21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
  13. 78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
  14. 16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
  15. 86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
  16. 19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
  17. 04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
  18. 88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
  19. 04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
  20. 20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
  21. 20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
  22. 01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48";
  23.  
  24. pub fn largest_product_in_a_grid(n: usize) -> u64 {
  25. let matrix: Vec<Vec<u64>> = MATRIX
  26. .lines()
  27. .map(|line| {
  28. line.split_whitespace()
  29. .map(|digits| digits.parse::<u64>().unwrap())
  30. .collect()
  31. })
  32. .collect();
  33.  
  34. let size = matrix.len();
  35. let mut vecs : Vec<Vec<_>> = vec![];
  36. //rows
  37. vecs.extend((0..size)
  38. .map(|x| (0..size).map(|y| matrix[x][y]).collect()));
  39.  
  40. //cols
  41. vecs.extend((0..size)
  42. .map(|y| (0..size).map(|x| matrix[x][y]).collect()));
  43.  
  44. // top left to bottom right, bottom half
  45. vecs.extend((0..size).map(|i| {
  46. let (x0, y0) = (i, 0);
  47. (0..size - x0).map(|j| matrix[x0 + j][y0 + j]).collect()
  48. }));
  49.  
  50. // top left to bottom right, top half
  51. vecs.extend((0..size - 1).map(|i| {
  52. let (x0, y0) = (0, i + 1);
  53. (0..size - y0).map(|j| matrix[x0 + j][y0 + j]).collect()
  54. }));
  55.  
  56. // bottom left to top right, bottom half
  57. vecs.extend((0..size - 1).map(|i| {
  58. let (x0, y0) = (size - 1, i + 1);
  59. (0..size - y0).map(|j| matrix[x0 - j][y0 + j]).collect()
  60. }));
  61.  
  62. // bottom left to top right, top half
  63. vecs.extend((0..size).map(|i| {
  64. let (x0, y0) = (i, 0);
  65. (0..x0 + 1).map(|j| matrix[x0 - j][y0 + j]).collect()
  66. }));
  67.  
  68. vecs.iter().map(|row| {
  69. row.windows(n)
  70. .map(|window| window.iter().product())
  71. .max()
  72. .unwrap_or(0)
  73. }).max().unwrap()
  74.  
  75. }
  76.  
  77. fn main() {
  78. let start = Instant::now();
  79. let result = largest_product_in_a_grid(4);
  80. let end = start.elapsed();
  81. println!("{} in {:?}", result, end);
  82. }
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