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题目描述:
输入一个整型数组,数组里有正数也有负数。数组中的一个或连续多个整数组成一个子数组。求所有子数组的和的最大值。
解题思路1: 超出时间限制
最容易能想到的思路,莫过于两个for循环
代码1:
class Solution(object):
def maxSubArray(self, nums):
size = len(nums)
max_num = max(nums)
for i in range(size):
for j in range(i+1, size+1):
if max_num < sum(nums[i:j]):
max_num = sum(nums[i:j])
return max_num
解题思路2: 来源于官方
代码2:
class Solution(object):
def maxSubArray(self, nums):
dp = []
dp.append(nums[0])
for i in range(1, len(nums)):
if dp[i-1] <= 0:
dp.append(nums[i])
else:
dp.append(dp[i-1] + nums[i])
return max(dp)
官方代码:
class Solution:
def maxSubArray(self, nums: List[int]) -> int:
for i in range(1, len(nums)):
nums[i] += max(nums[i - 1], 0)
return max(nums)
C++解法:
class Solution {
public:
int maxSubArray(vector<int>& nums) {
int maxnum = nums[0];
for (int i = 1;i< nums.size();++i){
if (nums[i - 1] > 0){
nums[i] += nums[i - 1];
}
maxnum = max(maxnum,nums[i]);
}
return maxnum;
}
};
题目来源:
https://leetcode-cn.com/problems/lian-xu-zi-shu-zu-de-zui-da-he-lcof/
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