Problem
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.
My Solution
class Solution {
public int maxCount(int m, int n, int[][] ops) {
int a = -1, b = -1;
int rMin = Integer.MAX_VALUE, cMin = Integer.MAX_VALUE;
if (ops.length == 0) {
return m * n;
}
for (int oi = 0; oi < ops.length; ++oi) {
a = ops[oi][0];
b = ops[oi][1];
if (a < rMin) {
rMin = a;
}
if (b < cMin) {
cMin = b;
}
}
return rMin * cMin;
}
}
Great Solution
public class Solution {
public int maxCount(int m, int n, int[][] ops) {
for (int[] op: ops) {
m = Math.min(m, op[0]);
n = Math.min(n, op[1]);
}
return m * n;
}
}
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