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code/312.戳气球.py

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#
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# @lc app=leetcode.cn id=312 lang=python3
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#
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# [312] 戳气球
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#
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# @lc code=start
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class Solution:
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def maxCoins(self, nums: List[int]) -> int:
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nums = [1] + nums + [1]
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n = len(nums)
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dps = [[0] * n for _ in range(n)]
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for i in range(n - 3, -1, -1):
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for j in range(i + 2, n):
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for k in range(i + 1, j):
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t = nums[i] * nums[k] * nums[j]
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t += dps[i][k] + dps[k][j]
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dps[i][j] = max([dps[i][j], t])
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return dps[0][n - 1]
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# @lc code=end
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