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163.py

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class Solution:
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"""
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@param n: An integer
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@return: An integer
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"""
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def numTrees(self, n):
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# write your code here
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if n == 0:
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return 1
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if n < 3:
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return n
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dp = [0] * (n+1)
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dp[1] = 1
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dp[2] = 2
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for i in range(3, n+1):
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dp[i] = dp[i-1] * 2
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for j in range(2, i):
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dp[i] += (dp[j-1] * dp[i-j])
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return dp[n]
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