LeetCode-in-All

96. Unique Binary Search Trees

Medium

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.

Example 1:

Input: n = 3

Output: 5

Example 2:

Input: n = 1

Output: 1

Constraints:

Solution

func numTrees(n int) int {
	result := 1
	for i := 0; i < n; i++ {
		result *= 2*n - i
		result /= i + 1
	}
	result /= n + 1
	return result
}