题目
- Maximum Subarray Easy
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Share Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
Example:
Input: [-2,1,-3,4,-1,2,1,-5,4], Output: 6 Explanation: [4,-1,2,1] has the largest sum = 6. Follow up:
If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach, which is more subtle.
思路
思路:动态规划
1.问题拆解:
以i为结尾的所有字数组中,和最大的是多少
2.状态定义:
dp[i] 以i为结尾的所有子数组的最大值
3.递推方程推导
dp[i]=max(dp[i-1]+array[i],array[i])
4.实现
实现
代码:python3
class Solution:
def maxSubArray(self, nums):
dp=[0]*(len(nums)+1)
dp[0]=nums[0]
result = nums[0]
for i in range(1,len(nums)):
dp[i]=max(dp[i-1]+nums[i],nums[i])
result = max(dp[i],result)
return result
if __name__ == '__main__':
print(Solution().maxSubArray([-2,1,-3,4,-1,2,1,-5,4]))