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LeetCode Range Addition II

2017-09-14 08:38 330 查看
原题链接在这里:https://leetcode.com/problems/range-addition-ii/description/

题目:

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.

题解:

找出最小的更新row, 和最小的更新column, 返回乘机. 记得这两个可能比对应的m, n大, 所以初始值时m,n.

Time Complexity: O(ops.length). Space: O(1).

AC Java:

1 class Solution {
2     public int maxCount(int m, int n, int[][] ops) {
3         if(ops == null || ops.length == 0){
4             return m*n;
5         }
6
7         int minRow = m;
8         int minColumn = n;
9         for(int [] op : ops){
10             minRow = Math.min(minRow, op[0]);
11             minColumn = Math.min(minColumn, op[1]);
12         }
13         return minRow*minColumn;
14     }
15 }


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