Question

我正在做一些项目的欧拉问题来练习更多。我遇到了问题11，我一直得到错误的答案。

以下是列表清单：

problem_11 = [[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]
]

以下是代码：

def largest_product_grid(grid):
    greatest = 0
    patterns = [
        [(1, 0), (2, 0), (3, 0)],
        [(1, -1), (2, -2), (3, -3)],
        [(0, -1), (0, -2), (0, -3)],
        [(0, 1), (0, 2), (0, 3)],
        [(-1, -1), (-2, -2), (-3, -3)]]
    for y in range(0, 19):
        for x in range(0, 19):
            for p in patterns:
                product = grid[y][x] * grid[p[0][1]][p[0][0]] * grid[p[1][1]][p[1][0]] * grid[p[2][1]][p[2][0]]
                if greatest < product:
                    greatest = product
    return greatest

我很确定它正在进行比它需要的更多的计算，多次进行相同的数学计算，并且在x和y上都比我可能需要的更进一步。但我仍然得到错误的答案。正确的应该是：70600674。

编辑：问题：

“相同的四个相邻数字的最佳产品是什么？ 20×20网格中的方向（上，下，左，右或对角）？“

我期待索引超出范围错误，但我监督了一个愚蠢的错误。

Answer 1

对于初学者，您希望搜索模式是x和y的函数。

product = grid[y][x] * grid[p[0][1]][p[0][0]] * grid[p[1][1]][p[1][0]] * grid[p[2][1]][p[2][0]]

现在，无论x和y是什么，p [0] [1]总是会返回相同的值。您应该用以下内容替换上面的行：

product = grid[y][x] * grid[y + p[0][1]][x + p[0][0]] * grid[y + p[1][1]][x + p[1][0]] * grid[y + p[2][1]][x + p[2][0]]

网格中4个中最大的产品

1 个答案: