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- A/ find code optimization method to this code and then find type to this code 1- For(i=1;iplease convert to C languange #include<bits/stdc++.h>using namespace std; class tree{ //tree node public: int data; tree *left; tree *right;}; bool hasRootToLeafSum(tree *root, int s){ bool path=false; //declare boolean variable path //base condition checking if(root==NULL && s==0) return true; s-=root->data; //subtract current root value //checking whether leaf node reached and remaining sum =0 if(s==0 && root->left==NULL && root->right==NULL) return true; //recursively done for both subtrees if(root->left){//for left subtree path=path||hasRootToLeafSum(root->left, s); } if(root->right){//for right subtree path=path||hasRootToLeafSum(root->right, s); } return path;} tree* newnode(int data){ //creating new nodes tree* node = (tree*)malloc(sizeof(tree)); node->data = data; node->left = NULL; node->right = NULL;…Consider the given pmgqgh finclude(iostren} using namespace std; int main(){ //int n=2 take of y for(int i=0;ifunction myCompose(f,g){// TODO: return (f o g);// that is, a function that returns f(g(x)) when invoked on x.}Draw memory map for the following segment of program struct rational { int num; int den; struct rational r[3], *rp; rp = &r[0]; rp->num = 5; rp->den = 7; rp++; rp->num = 3; rp->den =6: rp++; rp->num = 6; rp->den = 13; %3D For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt4. A={3,4}, B={4,5}. An B= AUB= A-B= A OB= AXB=PROGRAMMING LANGUAGE: C++ // vectors: overloading operators example#include <iostream>using namespace std;class counter{private:int count;public:counter():count(0){}counter(int c):count(c) {} int get_count(){return count;} counter operator++ (int){return counter(count++); } counter operator-- (int){return counter(count--);}};int main(){counter c1, c2, c3;c1++;c2--;cout<<'\n'<<c1.get_count();cout<<'\n'<<c2.get_count();cout<<endl;c3 = c1++;cout<<'\n'<<c1.get_count();cout<<'\n'<<c3.get_count();getch();return 0;} Go through the above code and write the output of the given code segment. counter c1(5), c2(10), c3;c3=c1++;c2=--c3;;cout<<”\n”<<c1.get_count();cout<<”\n”<<c2.get_count();cout<<”\n”<<c3.get_count();Recursive function tracing: drawing Recursion Tree for Smallest(a, 0, 6), where vector a contains the following numbers: a = {4, 5, 10, 1, 20, 23, 2}. • clearly label each recursive call’s parameters• clearly label what each call returns to its caller //Return smallest element in sublist a[first...last] int Smallest (vector<int> a, int first, int last){ if (first==last) return a[first]; mid = (first+last)/2; //integer division l1 = Smallest(a, first, mid); l2 = Smallest (a, mid+1, last); if (l1>l2) return l2; else return l1; }In this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…L1={u €E•[u ends with aa}. 12 = {u €E•[u ends and begins with different letters }. L3 = {u €I•|u contains abba). L4 = {u €E•[u is of the form anbamfor n,m> 0}. Given the above languages: (a) Use the set operators 'union' and 'complement' to describe L5 = L1 n L2. (b) Prove that L5 is regular.f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) = x g(c) = x g(d) = z Find the composition gofSEE MORE QUESTIONS