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add 19 shard00 problems, update the algorithms, drop prim_forward_star
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# LeetCode 53: Maximum Subarray
## Abstract model
Maximize $\sum_{i=l}^{r}nums_i$ over every nonempty contiguous interval
$0\le l\le r<n$. The verification case uses Kadane's recurrence, storing the
best suffix ending at the current element and the best interval seen so far.
## Problem statement
Given an integer array `nums`, return the sum of the contiguous nonempty
subarray with the largest sum.
## Constraints
- $1 \le n \le 10^5$.
- $-10^4 \le nums_i \le 10^4$.
## Source
[LeetCode 53, "Maximum Subarray"](https://leetcode.com/problems/maximum-subarray/).