python--leetcode598. Range Addition II

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 = 3operations = [[2,2],[3,3]]Output: 4Explanation: 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:

1. The range of m and n is [1,40000].
2. The range of a is [1,m], and the range of b is [1,n].

1. The range of operations size won't exceed 10,000.

题目比较明了，具体请看图比较好理解。

解题思路：我一开始觉得直接暴力解也很快的事，于是我写了这么一个代码：

class Solution(object):    def maxCount(self, m, n, ops):        """        :type m: int        :type n: int        :type ops: List[List[int]]        :rtype: int        """        a=[  [0 for i in range(m)] for j in range(n)]        for i in range(len(ops)):            x,y=ops[i][0],ops[i][1]            for j in range(m):                for k in range(n):                    if j<x and k<y: a[j][k]+=1        max,count=0,0        for j in range(m):            for k in range(n):                if(max<a[j][k]):max=a[j][k]        for j in range(m):            for k in range(n):                if (max == a[j][k]):count+=1        return counts=Solution()print(s.maxCount(4000,4000,[]))

是不是看上去很清新脱俗？而且思路很清晰，感觉分分钟就解决了这题。其实这样的话会严重超时。

后来我又想了一想，发现这一题只要把list中最小的x和y找出来，他们的乘积就是最后的结果了，同学们可以仔细想一想是不是这么一回事。

因为最小的x和y这块区域，只要有+1，这块区域就一定加一，所以他们的数字一定是最大的。

代码如下：

class Solution(object):    def maxCount(self, m, n, ops):        """        :type m: int        :type n: int        :type ops: List[List[int]]        :rtype: int        """        if(len(ops)==0): return m*n        x,y=[],[]        for i in range(len(ops)):            x.append(ops[i][0])            y.append(ops[i][1])        return  min(x)*min(y)s=Solution()print(s.maxCount(3,3,[[2,2],[3,3]]))