[leetcode-598-Range Addition II]
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Given an m * n matrix M initialized with all 0‘s and several update operations.
Operations are represented by a 2D array, and each operation is represented by an array with two positive integers a and b, which means M[i][j] should be added by one for all 0 <= i < a and 0 <= j < b.
You need to count and return the number of maximum integers in the matrix after performing all the operations.
Example 1:
Input:
m = 3, n = 3
operations = [[2,2],[3,3]]
Output: 4
Explanation:
Initially, M =
[[0, 0, 0],
[0, 0, 0],
[0, 0, 0]]
After performing [2,2], M =
[[1, 1, 0],
[1, 1, 0],
[0, 0, 0]]
After performing [3,3], M =
[[2, 2, 1],
[2, 2, 1],
[1, 1, 1]]
So the maximum integer in M is 2, and there are four of it in M. So return 4.
Note:
The range of m and n is [1,40000].
The range of a is [1,m], and the range of b is [1,n].
The range of operations size won‘t exceed 10,000.
思路:
思考可以发现,矩阵越靠近左上角的元素值越大,因为要加1的元素 行和列索引是从0开始的。
那么只需要找到操作次数最多的元素位置即可。而操作次数最多的元素肯定是偏向于靠近矩阵左上角的。
int maxCount(int m, int n, vector<vector<int> >& ops) { int minrow = 50000,mincol =50000; for(int i =0;i<ops.size();i++) { minrow =min(minrow,ops[i][0]); mincol = min(mincol,ops[i][1]); } minrow = min(minrow,m); mincol = min(mincol,n); return minrow*mincol; }
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LeetCode - 598. Range Addition II