2021-11-08 Daily-Challenge
Today I have done leetcode's November LeetCoding Challenge with cpp
.
November LeetCoding Challenge 8
Description
Unique Binary Search Trees
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:
1 <= n <= 19
Solution
constexpr auto result = []{
array<int, 20> arr{1, 1};
for(int i = 2; i < 20; ++i) {
for(int j = 0; j < i; ++j) {
arr[i] += arr[j] * arr[i - j - 1];
}
}
return arr;
}();
class Solution {
public:
int numTrees(int n) {
return result[n];
}
};
// Accepted
// 19/19 cases passed (0 ms)
// Your runtime beats 100 % of cpp submissions
// Your memory usage beats 64.16 % of cpp submissions (5.9 MB)