Minimum Operations to Make a Uni-Value Grid
You are given a 2D integer grid of size m x n and an integer x.
You are given a 2D integer grid of size m x n and an integer x. In one operation, you can add x to or subtract x from any element in the grid.
A uni-value grid is a grid where all the elements of it are equal.
Return the minimum number of operations to make the grid uni-value. If it is not possible, return -1.
Example 1
Input: grid = [[2,4],[6,8]], x = 2
Output: 4
Explanation: We can make every element equal to 4 by doing the following: - Add x to 2 once. - Subtract x from 6 once. - Subtract x from 8 twice. A total of 4 operations were used.
Example 2
Input: grid = [[1,5],[2,3]], x = 1
Output: 5
Explanation: We can make every element equal to 3.
Example 3
Input: grid = [[1,2],[3,4]], x = 2
Output: -1
Explanation: It is impossible to make every element equal.
Constraints
- m == grid.length
- n == grid[i].length
- 1 <= m, n <= 10^5
- 1 <= m * n <= 10^5
- 1 <= x, grid[i][j] <= 10^4
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