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Merge branch 'master' of https://github.com/labuladong/fucking-algorithm into master
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动态规划系列/动态规划之KMP字符匹配算法.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/动态规划之博弈问题.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======
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python3版本
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由[SCUHZS](https://github.com/brucecat)提供
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这里采取的是三维的做法
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```python
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class Solution:
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def stoneGame(self, piles: List[int]) -> bool:
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n = len(piles)
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# 初始化一个n*n的矩阵 dp数组
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dp = [[None] * n for i in range(0, n)]
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# 在三角区域填充
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for i in range(n):
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for j in range(i, n):
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dp[i][j] = [0, 0]
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# 填入base case
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for i in range(0, n):
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dp[i][i][0] = piles[i]
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dp[i][i][1] = 0
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# 斜着遍历数组
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for l in range(2, n + 1):
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for i in range(0, n-l+1):
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j = l + i - 1
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# 先手选择最左边或最右边的分数
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left = piles[i] + dp[i + 1][j][1]
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right = piles[j] + dp[i][j - 1][1]
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# 套用状态转移方程
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if left > right:
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dp[i][j][0] = left
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dp[i][j][1] = dp[i + 1][j][0]
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else:
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dp[i][j][0] = right
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dp[i][j][1] = dp[i][j - 1][0]
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res = dp[0][n - 1]
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return res[0] - res[1] > 0
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```
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压缩成一维数组,以减小空间复杂度,做法如下。
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```python
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class Solution:
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def stoneGame(self, piles: List[int]) -> bool:
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dp = piles.copy()
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for i in range(len(piles) - 1, -1, -1): # 从下往上遍历
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for j in range(i, len(piles)): # 从前往后遍历
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dp[j] = max(piles[i] - dp[j], piles[j] - dp[j - 1]) # 计算之后覆盖一维数组的对应位置
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return dp[len(piles) - 1] > 0
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```
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动态规划系列/动态规划之四键键盘.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/动态规划之正则表达.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/动态规划设计:最长递增子序列.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/动态规划详解进阶.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/团灭股票问题.md

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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

动态规划系列/子序列问题模板.md

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# 动态规划之子序列问题解题模板
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**学好算法全靠套路,认准 labuladong 就够了**
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<a href="https://github.com/labuladong/fucking-algorithm" target="view_window"><img alt="GitHub" src="https://img.shields.io/github/stars/labuladong/fucking-algorithm?label=Stars&style=flat-square&logo=GitHub"></a>
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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,labuladong 带你搞定 LeetCode**。
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======其他语言代码======

动态规划系列/抢房子.md

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# 团灭 LeetCode 打家劫舍问题
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<a href="https://www.zhihu.com/people/labuladong"><img src="https://img.shields.io/badge/%E7%9F%A5%E4%B9%[email protected]?style=flat-square&logo=Zhihu"></a>
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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======
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[Shantom](https://github.com/Shantom) 提供 198. House Robber I Python3 解法代码:
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```Python

动态规划系列/最优子结构.md

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# 动态规划答疑篇
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<a href="https://github.com/labuladong/fucking-algorithm" target="view_window"><img alt="GitHub" src="https://img.shields.io/github/stars/labuladong/fucking-algorithm?label=Stars&style=flat-square&logo=GitHub"></a>
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**本小抄即将出版,微信扫码关注公众号,后台回复「小抄」限时免费获取,回复「进群」可进刷题群一起刷题,带你搞定 LeetCode**
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======其他语言代码======

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