diff --git a/project_euler/problem_11/sol1.c b/project_euler/problem_11/sol1.c new file mode 100644 index 0000000000..315a7de5af --- /dev/null +++ b/project_euler/problem_11/sol1.c @@ -0,0 +1,121 @@ +/** + * @file + * @brief [Problem 11](https://projecteuler.net/problem=11) solution + * @author [Vipul Cariappa](https://github.com/vipul-cariappa) + * @details + * Code to find the greatest product of four adjacent numbers in the same + * direction (up, down, left, right, or diagonally) in the given grid + */ + +#include /// for IO operations + +#define ARRAY_SIZE 20 // size of gird +typedef unsigned long long large; // To hold product of numbers + +/** + * @brief Main function + * @returns 0 on exit + */ +int main() +{ + int array[ARRAY_SIZE][ARRAY_SIZE] = { + {8, 2, 22, 97, 38, 15, 0, 40, 0, 75, + 4, 5, 7, 78, 52, 12, 50, 77, 91, 8}, + {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, + 17, 40, 98, 43, 69, 48, 4, 56, 62, 0}, + {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, + 40, 67, 53, 88, 30, 3, 49, 13, 36, 65}, + {52, 70, 95, 23, 4, 60, 11, 42, 69, 24, + 68, 56, 1, 32, 56, 71, 37, 2, 36, 91}, + {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, + 36, 54, 22, 40, 40, 28, 66, 33, 13, 80}, + {24, 47, 32, 60, 99, 3, 45, 2, 44, 75, + 33, 53, 78, 36, 84, 20, 35, 17, 12, 50}, + {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, + 40, 67, 59, 54, 70, 66, 18, 38, 64, 70}, + {67, 26, 20, 68, 2, 62, 12, 20, 95, 63, + 94, 39, 63, 8, 40, 91, 66, 49, 94, 21}, + {24, 55, 58, 5, 66, 73, 99, 26, 97, 17, + 78, 78, 96, 83, 14, 88, 34, 89, 63, 72}, + {21, 36, 23, 9, 75, 0, 76, 44, 20, 45, + 35, 14, 0, 61, 33, 97, 34, 31, 33, 95}, + {78, 17, 53, 28, 22, 75, 31, 67, 15, 94, + 3, 80, 4, 62, 16, 14, 9, 53, 56, 92}, + {16, 39, 5, 42, 96, 35, 31, 47, 55, 58, + 88, 24, 0, 17, 54, 24, 36, 29, 85, 57}, + {86, 56, 0, 48, 35, 71, 89, 7, 5, 44, + 44, 37, 44, 60, 21, 58, 51, 54, 17, 58}, + {19, 80, 81, 68, 5, 94, 47, 69, 28, 73, + 92, 13, 86, 52, 17, 77, 4, 89, 55, 40}, + {4, 52, 8, 83, 97, 35, 99, 16, 7, 97, + 57, 32, 16, 26, 26, 79, 33, 27, 98, 66}, + {88, 36, 68, 87, 57, 62, 20, 72, 3, 46, + 33, 67, 46, 55, 12, 32, 63, 93, 53, 69}, + {4, 42, 16, 73, 38, 25, 39, 11, 24, 94, + 72, 18, 8, 46, 29, 32, 40, 62, 76, 36}, + {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, + 99, 69, 82, 67, 59, 85, 74, 4, 36, 16}, + {20, 73, 35, 29, 78, 31, 90, 1, 74, 31, + 49, 71, 48, 86, 81, 16, 23, 57, 5, 54}, + {1, 70, 54, 71, 83, 51, 54, 69, 16, 92, + 33, 48, 61, 43, 52, 1, 89, 19, 67, 48}, + }; + + // to store present largest number + large biggest = 0; + large tmp; + + for (int i = 0; i < ARRAY_SIZE; i++) + { + for (int j = 0; j < ARRAY_SIZE; j++) + { + // calculating product and checking against prest biggest number + // row + if (j < ARRAY_SIZE - 4) + { + tmp = (large)array[i][j] * array[i][j + 1] * array[i][j + 2] * + array[i][j + 3]; + if (tmp > biggest) + { + biggest = tmp; + } + } + + // column + if (i < ARRAY_SIZE - 4) + { + tmp = (large)array[i][j] * array[i + 1][j] * array[i + 2][j] * + array[i + 3][j]; + if (tmp > biggest) + { + biggest = tmp; + } + } + + // diagonal (towards down left) + if ((i < ARRAY_SIZE - 4) && (j < ARRAY_SIZE - 4)) + { + tmp = (large)array[i][j] * array[i + 1][j + 1] * + array[i + 2][j + 2] * array[i + 3][j + 3]; + if (tmp > biggest) + { + biggest = tmp; + } + } + + // diagonal (towards down right) + if ((j > 3) && (i < ARRAY_SIZE - 4)) + { + tmp = (large)array[i][j] * array[i + 1][j - 1] * + array[i + 2][j - 2] * array[i + 3][j - 3]; + if (tmp > biggest) + { + biggest = tmp; + } + } + } + } + + printf("Largest Product: %llu\n", biggest); + return 0; +}