You are given a m x n matrix grid consisting of non-negative integers.
In one operation, you can increment the value of any grid[i][j] by 1.
Return the minimum number of operations needed to make all columns of grid strictly increasing.
\n
Example 1:
\n\nInput: grid = [[3,2],[1,3],[3,4],[0,1]]
\n\nOutput: 15
\n\nExplanation:
\n\n0th column strictly increasing, we can apply 3 operations on grid[1][0], 2 operations on grid[2][0], and 6 operations on grid[3][0].1st column strictly increasing, we can apply 4 operations on grid[3][1].![\"\"](\"https://assets.leetcode.com/uploads/2024/11/10/firstexample.png\")
Example 2:
\n\nInput: grid = [[3,2,1],[2,1,0],[1,2,3]]
\n\nOutput: 12
\n\nExplanation:
\n\n0th column strictly increasing, we can apply 2 operations on grid[1][0], and 4 operations on grid[2][0].1st column strictly increasing, we can apply 2 operations on grid[1][1], and 2 operations on grid[2][1].2nd column strictly increasing, we can apply 2 operations on grid[1][2].![\"\"](\"https://assets.leetcode.com/uploads/2024/11/10/secondexample.png\")
\n
Constraints:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 500 <= grid[i][j] < 2500\n
\n\n\n
给你一个由 非负 整数组成的 m x n 矩阵 grid。
在一次操作中，你可以将任意元素 grid[i][j] 的值增加 1。
返回使 grid 的所有列 严格递增 所需的 最少 操作次数。
\n\n
示例 1：
\n\n输入: grid = [[3,2],[1,3],[3,4],[0,1]]
\n\n输出: 15
\n\n解释:
\n\n0 列严格递增，可以对 grid[1][0] 执行 3 次操作，对 grid[2][0] 执行 2 次操作，对 grid[3][0] 执行 6 次操作。1 列严格递增，可以对 grid[3][1] 执行 4 次操作。示例 2：
\n\n输入: grid = [[3,2,1],[2,1,0],[1,2,3]]
\n\n输出: 12
\n\n解释:
\n\n0 列严格递增，可以对 grid[1][0] 执行 2 次操作，对 grid[2][0] 执行 4 次操作。1 列严格递增，可以对 grid[1][1] 执行 2 次操作，对 grid[2][1] 执行 2 次操作。2 列严格递增，可以对 grid[1][2] 执行 2 次操作。\n\n
提示:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 500 <= grid[i][j] < 2500grid[i + 1][j] must be at least equal to grid[i][j] + 1.",
"Iterate on i in increasing order, and set grid[i + 1][j] = max(grid[i][j]+1, grid[i + 1][j])."
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