The following algorithm is used to recursively count the number of leaves in a binary tree, where T is a binary tree and n is the number of leaves. LeafCounter(T) if (T == EmptySet) then n = 0 else n = LeafCount(T.left)+LeafCount(T.right) return n Is the algorithm above correct? If not, rewrite the pseudocode
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The following
LeafCounter(T)
if (T == EmptySet) then
n = 0
else
n = LeafCount(T.left)+LeafCount(T.right)
return n
Is the algorithm above correct? If not, rewrite the pseudocode
Step by step
Solved in 2 steps
- Please draw a recursion tree also! And don't copy paste. 1. Write the recursive algorithm taught in class to find the longest common subsequence. For the following generate a recursion tree. b a 500 g b 10 g hPlease draw a recursion tree also! And don't copy paste. 1. Write the recursive algorithm taught in class to find the longest common subsequence. For the following generate a recursion tree. b a g b 10 h 10Code: Number of Balanced BTsSend FeedbackGiven an integer h, find the possible number of balanced binary trees of height h. You just need to return the count of possible binary trees which are balanced.This number can be huge, so, return output modulus 10^9 + 7.Write a simple recursive solution.Input Format :The first and only line of input contains an integer, that denotes the value of h. Here, h is the height of the tree.Output Format :The first and only line of output contains the count of balanced binary trees modulus 10^9 + 7.Constraints :1 <= h <= 24Time Limit: 1 secSample Input 1:3Sample Output 1:15Sample Input 2:4Sample Output 2:315Solution:===========================================================================public class Solution {.
- Recursion Trees Use the recursion tree method to determine the asymptotic upper bound of T(n). T(n) satisfies the recurrence T(n) = 2T(n-1) + n, and T(0)=0.g1 = 5 g2 = 6 for k in range(3,8): gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?T(n) = 3T(n/3) + n. Use the recursion tree method. Typically, you use the recursion tree method to guess the solution, and verify it using the substitution method. But here you just need to draw the recursion tree. You have to give enough details of the tree and explain how you derived the running time.
- MazeSolver attempts to recursively traverse a Maze. The goal is to get from the * given starting position to the bottom right, following a path of 1’s. Arbitrary * constants are used to represent locations in the maze that have been TRIED * and that are part of the solution PATH.Draw the recursion tree to compute Fibonacci number for n=6.1. Give a recursive algorithm in pseudocode to compute the diameter of a binary tree. Recall that diameter is defined as the number of nodes on the longest path between any two nodes in the tree. Nodes have left and right references, but nothing else. You must use the height function, defined as follows, in your solution. Your solution will return the diameter of the tree as an integer. function height (Node n) 1. if n = null 2. return -1 3. return 1 + max (height (n.left), height (n.right)) Write your solution below. function diameter (Node n)
- АСTIVITY 3 RECURSION Instructions: Use any size of bond paper. Write your name, course and year, date in your answer sheets. Use ALL CAPS. I. Recursion: Prove the following using recursion. 1. Ifg is defined recursively by g(0) = 3 and g(n + 1) = 2" – n. Find g(1), g(3), g(5), g(7) and g(9)In divide and conquer algorithm after dividing the problem into two or more smaller subproblems, the next step will be: Conquer the subproblems by solving them recursively. O Combine the solutions to the subproblems into the solutions for the original problem. O Skip Conquer the subproblems by solving them respectively. Combine the solutions to the subproblems and leave them separated.Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a function A(m, n) that solves Ackermann’s function. Use the following logic in your function: If m = 0 then return n + 1 If n = 0 then return A(m-1, 1) Otherwise, return A(m-1, A(m, n-1)) Test your function in a driver program that displays the following values:A(0, 0) A(0, 1) A(1, 1) A(1, 2) A(1, 3) A(2, 2) A(3, 2)