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 = 3Output: 5Example 2:Input: n = 1Output: 1 Constraints:1 <= n <= 19
Question
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 = 3Output: 5Example 2:Input: n = 1Output: 1 Constraints:1 <= n <= 19
Solution
This problem can be solved using dynamic programming. The idea is to calculate the number of unique BSTs for each number from 1 to n, and use these results to calculate the number of unique BSTs for larger numbers.
Here are the steps to solve this problem:
-
Create an array dp of size n+1, and initialize all elements to 0. dp[i] will store the number of unique BSTs with i nodes.
-
Set dp[0] and dp[1] to 1, because there is only one unique BST with 0 or 1 node.
-
For each number i from 2 to n
Similar Questions
A binary search tree is generated by inserting in order the following integers: 50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60, 24, 49 The number of nodes in the left subtree and right subtree of the root respectively is a. (8, 4) b. (4, 7) c. (7, 4) d. (4, 8)
How many possible binary search trees can be made with the keys 1, 2, 3?123456Submit
Level Order of TreeGiven an array of unique elements, construct a Binary Search Tree and print the Level Order of the tree.Input FormatFirst line of each test case contains N - number of nodes in the BST. The next line contains N unique integers - value of the nodes.ConstraintsPrint the Level Order of the Binary Search Tree, separate each level by newline.Output Format1 <= N <= 10000 <= ar[i] <= 10000Sample input6 10 5 15 2 7 12Sample output10 5 15 2 7 12
The maximum number of nodes in acomplete binary tree i
Right View of TreeGiven an array of unique elements, construct a Binary Search Tree and print the right-view of the tree. Right view of a Tree is the set of nodes visible when tree is viewed from right side.Input FormatFirst line of each test case contains N - number of nodes in the BST. The next line contains N unique integers - value of the nodes.Constraints1 <= N <= 10000 <= ar[i] <= 10000Output FormatFor each test case, print the right-view of the Binary Search Tree, separated by newline.Sample input7 5 3 8 2 4 7 9Sample output5 8 9
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.