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project-euler
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project-euler
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11.py

11.py 2.9 KB
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  1. grid = [[8, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 8],
    2. 

  2. [49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00],
    3. 

  3. [81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65],
    4. 

  4. [52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91],
    5. 

  5. [22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],
    6. 

  6. [24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],
    7. 

  7. [32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],
    8. 

  8. [67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],
    9. 

  9. [24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],
    10. 

  10. [21, 36, 23, 9, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95],
    11. 

  11. [78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 9, 53, 56, 92],
    12. 

  12. [16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57],
    13. 

  13. [86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],
    14. 

  14. [19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40],
    15. 

  15. [04, 52, 8, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],
    16. 

  16. [88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],
    17. 

  17. [04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],
    18. 

  18. [20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16],
    19. 

  19. [20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54],
    20. 

  20. [01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48]]
    21. 

  21. 

  22. def listproduct(quadlist):
    23. 

  23. 	product = 1
    24. 

  24. 	for i in quadlist:
    25. 

  25. 		product *= i
    26. 

  26. 	return product
    27. 

  27. 

  28. def vertproduct(grid):
    29. 

  29. 	maxproduct = 1
    30. 

  30. 	for column in range(16):
    31. 

  31. 		for row in range(19):
    32. 

  32. 			currentproduct = listproduct([grid[column][row], grid[column+1][row], grid[column+2][row], grid[column+3][row]])
    33. 

  33. 			if currentproduct > maxproduct:
    34. 

  34. 				maxproduct = currentproduct
    35. 

  35. 	return maxproduct
    36. 

  36. 

  37. def horizproduct(grid):
    38. 

  38. 	maxproduct = 1
    39. 

  39. 	for column in range(19):
    40. 

  40. 		for row in range(16):
    41. 

  41. 			currentproduct = listproduct([grid[column][row], grid[column][row+1], grid[column][row+2], grid[column][row+3]])
    42. 

  42. 			if currentproduct > maxproduct:
    43. 

  43. 				maxproduct = currentproduct
    44. 

  44. 	return maxproduct
    45. 

  45. 

  46. def diagright(grid):
    47. 

  47. 	maxproduct = 1
    48. 

  48. 	for column in range(16):
    49. 

  49. 		for row in range(16):
    50. 

  50. 			currentproduct = listproduct([grid[column][row], grid[column+1][row+1], grid[column+2][row+2], grid[column+3][row+3]])
    51. 

  51. 			if currentproduct > maxproduct:
    52. 

  52. 				maxproduct = currentproduct
    53. 

  53. 	return maxproduct
    54. 

  54. 

  55. def diagleft(grid):
    56. 

  56. 	maxproduct = 1
    57. 

  57. 	for column in range(3, 19):
    58. 

  58. 		for row in range(16):
    59. 

  59. 			currentproduct = listproduct([grid[column][row], grid[column-1][row+1], grid[column-2][row+2], grid[column-3][row+3]])
    60. 

  60. 			if currentproduct > maxproduct:
    61. 

  61. 				maxproduct = currentproduct
    62. 

  62. 	return maxproduct
    63. 

  63. 

  64. print max(vertproduct(grid), horizproduct(grid), diagright(grid), diagleft(grid))
    65.