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Unique Binary Search Trees - Catalan Numbers

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Given an integer n, return the number of structurally unique BST's (binary search trees) which has exactly n nodes of unique values from 1 to n.

 public int numTrees(int n) {
    int [] dp = new int[n+1];
    dp[0]= 1;
    dp[1] = 1;
    for(int level = 2; level <=n; level++)
        for(int root = 1; root<=level; root++)
            dp[level] += dp[level-root]*dp[root-1];
    return dp[n];
}

Posted by Jamie Meyer 20 days ago