{ "data": { "question": { "questionId": "3335", "questionFrontendId": "3071", "categoryTitle": "Algorithms", "boundTopicId": 2662372, "title": "Minimum Operations to Write the Letter Y on a Grid", "titleSlug": "minimum-operations-to-write-the-letter-y-on-a-grid", "content": "
You are given a 0-indexed n x n
grid where n
is odd, and grid[r][c]
is 0
, 1
, or 2
.
We say that a cell belongs to the Letter Y if it belongs to one of the following:
\n\nThe Letter Y is written on the grid if and only if:
\n\nReturn the minimum number of operations needed to write the letter Y on the grid given that in one operation you can change the value at any cell to 0
, 1
, or 2
.
\n
Example 1:
\n\n\nInput: grid = [[1,2,2],[1,1,0],[0,1,0]]\nOutput: 3\nExplanation: We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 1 while those that do not belong to Y are equal to 0.\nIt can be shown that 3 is the minimum number of operations needed to write Y on the grid.\n\n\n
Example 2:
\n\n\nInput: grid = [[0,1,0,1,0],[2,1,0,1,2],[2,2,2,0,1],[2,2,2,2,2],[2,1,2,2,2]]\nOutput: 12\nExplanation: We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 0 while those that do not belong to Y are equal to 2. \nIt can be shown that 12 is the minimum number of operations needed to write Y on the grid.\n\n
\n
Constraints:
\n\n3 <= n <= 49
n == grid.length == grid[i].length
0 <= grid[i][j] <= 2
n
is odd.给你一个下标从 0 开始、大小为 n x n
的矩阵 grid
,其中 n
为奇数,且 grid[r][c]
的值为 0
、1
或 2
。
如果一个单元格属于以下三条线中的任一一条,我们就认为它是字母 Y 的一部分:
\n\n当且仅当满足以下全部条件时,可以判定矩阵上写有字母 Y :
\n\n每次操作你可以将任意单元格的值改变为 0
、1
或 2
。返回在矩阵上写出字母 Y 所需的 最少 操作次数。
\n\n
示例 1:
\n\n\n输入:grid = [[1,2,2],[1,1,0],[0,1,0]]\n输出:3\n解释:将在矩阵上写出字母 Y 需要执行的操作用蓝色高亮显示。操作后,所有属于 Y 的单元格(加粗显示)的值都为 1 ,而不属于 Y 的单元格的值都为 0 。\n可以证明,写出 Y 至少需要进行 3 次操作。\n\n\n
示例 2:
\n\n\n输入:grid = [[0,1,0,1,0],[2,1,0,1,2],[2,2,2,0,1],[2,2,2,2,2],[2,1,2,2,2]]\n输出:12\n解释:将在矩阵上写出字母 Y 需要执行的操作用蓝色高亮显示。操作后,所有属于 Y 的单元格(加粗显示)的值都为 0 ,而不属于 Y 的单元格的值都为 2 。\n可以证明,写出 Y 至少需要进行 12 次操作。\n\n\n
\n\n
提示:
\n\n3 <= n <= 49
n == grid.length == grid[i].length
0 <= grid[i][j] <= 2
n
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