96_unique_binary_search_trees.py

class Solution:
    def numTrees(self, n: int) -> int:
        dp = [1, 1, 2]
        if n <= 2:
            return dp[n]
        for i in range(3, n+1):
            tmp = 0
            for j in range(i):
                tmp += dp[j]*dp[i-j-1]
            dp.append(tmp)
        return dp[n]

'''
    This is my personal record of solving Leetcode Problems. 
    If you have any questions, please discuss them in [Issues](https://github.com/mengxinayan/leetcode/issues).
    Copyright (C) 2020-2022  mengxinayan

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
'''