range addition ii

The Question

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.

The Example

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]]

The Anwser

比较简单,就是一个一个矩阵的堆叠,取值最大的位置就是小矩阵a和b最小的地方,数目就是a*b。

代码如下

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class Solution {
public:
int (int m, int n, vector<vector<int>>& ops) {
for(int it=0;it<ops.size();++it){
m=min(ops[it][0],m);
n=min(ops[it][1],n);
}
return m*n;
}
};
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class Solution {
public:
int maxCount(int m, int n, vector<vector<int>>& ops) {
for (auto op : ops) {
m = min(op[0], m);
n = min(op[1], n);
}
return m * n;
}
};

~Thanks~
By 海天游草~~~2017.6.3