Euler #11


SUBMITTED BY: Guest

DATE: Jan. 24, 2014, 9:06 a.m.

FORMAT: Text only

SIZE: 2.6 kB

HITS: 1388

  1. #include <iostream>
  2. using namespace std;
  3. #define MAX 20
  4. int main()
  5. {
  6. int arr[20][20] =
  7. {
  8. {8,02,22,97,38,15,00,40,00,75,04,05,07,78,52,12,50,77,91,8},
  9. {49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48,04,56,62,00},
  10. {81,49,31,73,55,79,14,29,93,71,40,67,53,88,30,03,49,13,36,65},
  11. {52,70,95,23,04,60,11,42,69,24,68,56,01,32,56,71,37,02,36,91},
  12. {22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80},
  13. {24,47,32,60,99,03,45,02,44,75,33,53,78,36,84,20,35,17,12,50},
  14. {32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70},
  15. {67,26,20,68,02,62,12,20,95,63,94,39,63,8,40,91,66,49,94,21},
  16. {24,55,58,05,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72},
  17. {21,36,23,9,75,00,76,44,20,45,35,14,00,61,33,97,34,31,33,95},
  18. {78,17,53,28,22,75,31,67,15,94,03,80,04,62,16,14,9,53,56,92},
  19. {16,39,05,42,96,35,31,47,55,58,88,24,00,17,54,24,36,29,85,57},
  20. {86,56,00,48,35,71,89,07,05,44,44,37,44,60,21,58,51,54,17,58},
  21. {19,80,81,68,05,94,47,69,28,73,92,13,86,52,17,77,04,89,55,40},
  22. {04,52,8,83,97,35,99,16,07,97,57,32,16,26,26,79,33,27,98,66},
  23. {88,36,68,87,57,62,20,72,03,46,33,67,46,55,12,32,63,93,53,69},
  24. {04,42,16,73,38,25,39,11,24,94,72,18,8,46,29,32,40,62,76,36},
  25. {20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,04,36,16},
  26. {20,73,35,29,78,31,90,01,74,31,49,71,48,86,81,16,23,57,05,54},
  27. {01,70,54,71,83,51,54,69,16,92,33,48,61,43,52,01,89,19,67,48}
  28. };
  29. int hor=0, ver=0, rdg=0, ldg=0;
  30. for(int j = 0; j < MAX; j++)
  31. {
  32. for(int i = 0; i < MAX - 4; i++)
  33. {
  34. int thor = arr[i][j] * arr[i+1][j] * arr[i+2][j] * arr[i+3][j];
  35. if(thor > hor)
  36. {
  37. hor=thor;
  38. }
  39. }
  40. }
  41. for(int j=0; j < MAX-4; j++)
  42. {
  43. for(int i=0; i < MAX; i++)
  44. {
  45. int tver=arr[i][j] * arr[i][j+1] * arr[i][j+2] * arr[i][j+3];
  46. if(tver > ver)
  47. {
  48. ver = tver;
  49. }
  50. }
  51. }
  52. for(int j = 0; j < MAX-4; j++)
  53. {
  54. for(int i = 0; i < MAX -4; i++)
  55. {
  56. int trdg = arr[i][j] * arr[i+1][j+1] * arr[i+2][j+2] * arr[i+3][j+3];
  57. if(trdg > rdg)
  58. {
  59. rdg = trdg;
  60. }
  61. }
  62. }
  63. for(int j = 0; j < MAX -4; j++)
  64. {
  65. for(int i = 4; i < MAX; i++)
  66. {
  67. int tldg = arr[i][j] * arr[i-1][j+1] * arr[i-2][j+2] * arr[i-3][j+3];
  68. if(tldg > ldg)
  69. {
  70. ldg = tldg;
  71. }
  72. }
  73. }
  74. int tstr = max(hor, ver);
  75. int tdg = max(rdg, ldg);
  76. cout << "\n" << max(tstr, tdg);
  77. return 0;
  78. }

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