banovski

Project Euler, Problem #11, C

Feb 16th, 2022 (edited)
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  1. /* The task: find four adjacent numbers with the maximum product. The
  2.  * numbers should form a line: horizontal, vertical, or diagonal.
  3.  * Calculate the product. */
  4.  
  5. #include <stdio.h>
  6.  
  7. int main()
  8. {
  9.      /* matrix */
  10.      int m[20][20] = {
  11.           {8,  2,  22, 97, 38, 15, 0,  40, 0,  75, 4,  5,  7,  78, 52, 12, 50, 77, 91, 8},
  12.           {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4,  56, 62, 0},
  13.           {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3,  49, 13, 36, 65},
  14.           {52, 70, 95, 23,  4, 60, 11, 42, 69, 24, 68, 56, 1,  32, 56, 71, 37, 2,  36, 91},
  15.           {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80},
  16.           {24, 47, 32, 60, 99, 3,  45, 2,  44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50},
  17.           {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70},
  18.           {67, 26, 20, 68, 2,  62, 12, 20, 95, 63, 94, 39, 63, 8,  40, 91, 66, 49, 94, 21},
  19.           {24, 55, 58, 5,  66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72},
  20.           {21, 36, 23, 9,  75, 0,  76, 44, 20, 45, 35, 14, 0,  61, 33, 97, 34, 31, 33, 95},
  21.           {78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3,  80, 4,  62, 16, 14, 9,  53, 56, 92},
  22.           {16, 39, 5,  42, 96, 35, 31, 47, 55, 58, 88, 24, 0,  17, 54, 24, 36, 29, 85, 57},
  23.           {86, 56, 0,  48, 35, 71, 89, 7,  5,  44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58},
  24.           {19, 80, 81, 68, 5,  94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4,  89, 55, 40},
  25.           {4,  52, 8,  83, 97, 35, 99, 16, 7,  97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66},
  26.           {88, 36, 68, 87, 57, 62, 20, 72, 3,  46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69},
  27.           {4,  42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8,  46, 29, 32, 40, 62, 76, 36},
  28.           {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4,  36, 16},
  29.           {20, 73, 35, 29, 78, 31, 90, 1,  74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5,  54},
  30.           {1,  70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1,  89, 19, 67, 48},
  31.      };
  32.  
  33.      /* maximum row index */
  34.      int mri[] = {20, 17, 17, 17};
  35.      /* maximum column index */
  36.      int mci[] = {17, 20, 17, 17};
  37.      /* set type (horizontal, vertical, diagonal x 2), row, column, current product */
  38.      int st, r, c, cp;
  39.      /* maximum product */
  40.      int mp = 1;
  41.  
  42.      for(st = 0; st < 4; st++)
  43.           for(r = 0; r < mri[st]; r++)
  44.                for(c = 0; c < mci[st]; c++)
  45.                {
  46.                     if(st == 0)
  47.                          cp = m[r][c] * m[r][c + 1] * m[r][c + 2] * m[r][c + 3];
  48.                     if(st == 1)
  49.                          cp = m[r][c] * m[r + 1][c] * m[r + 2][c] * m[r + 3][c];
  50.                     if(st == 2)
  51.                          cp = m[r][c] * m[r + 1][c + 1] * m[r + 2][c + 2] * m[r + 3][c + 3];
  52.                     if(st == 3)
  53.                          cp = m[r][c + 3] * m[r + 1][c + 2] * m[r + 2][c + 1] * m[r + 3][c];
  54.                     if(mp < cp)
  55.                          mp = cp;
  56.                }
  57.      printf("%d", mp);
  58.      return(0);
  59. }
  60.  
  61. /* 70600674
  62.  * real 0m0,002s
  63.  * user 0m0,002s
  64.  * sys  0m0,000s */
  65.  
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