A standard Turing machine acceptor accepts an input string if it enters a halt s
ID: 3569569 • Letter: A
Question
A standard Turing machine acceptor accepts an input string if it enters a halt state at any
time during the computation. Write a detailed construction method for turning a standard
Turing machine acceptor M into a Turing machine acceptor with output M' that erases its
input and writes 1 or 0 in the leftmost tape cell (just to the right of the left end marker)
before it halts. The machine M' should write 1 for the strings that are in L(M) and 0 for
strings not in L(M) that cause M to terminate in a non-halt state.
Your write-up should include the following: 1) a general construction method using
formal notation where appropriate, 2) an informal explanation of the method, and 3) at
least one specific example of applying the method.
Explanation / Answer
include <stdio.h>
# include <conio.h>
# include <stdlib.h>
typedef struct BST {
int data;
struct BST *lchild, *rchild;
} node;
void insert(node *, node *);
void inorder(node *);
void preorder(node *);
void postorder(node *);
node *search(node *, int, node **);
void main() {
int choice;
char ans = 'N';
int key;
node *new_node, *root, *tmp, *parent;
node *get_node();
root = NULL;
clrscr();
printf(" Program For Binary Search Tree ");
do {
printf(" 1.Create");
printf(" 2.Search");
printf(" 3.Recursive Traversals");
printf(" 4.Exit");
printf(" Enter your choice :");
scanf("%d", &choice);
switch (choice) {
case 1:
do {
new_node = get_node();
printf(" Enter The Element ");
scanf("%d", &new_node->data);
if (root == NULL) /* Tree is not Created */
root = new_node;
else
insert(root, new_node);
printf(" Want To enter More Elements?(y/n)");
ans = getch();
} while (ans == 'y');
break;
case 2:
printf(" Enter Element to be searched :");
scanf("%d", &key);
tmp = search(root, key, &parent);
printf(" Parent of node %d is %d", tmp->data, parent->data);
break;
case 3:
if (root == NULL)
printf("Tree Is Not Created");
else {
printf(" The Inorder display : ");
inorder(root);
printf(" The Preorder display : ");
preorder(root);
printf(" The Postorder display : ");
postorder(root);
}
break;
}
} while (choice != 4);
}
/*
Get new Node
*/
node *get_node() {
node *temp;
temp = (node *) malloc(sizeof(node));
temp->lchild = NULL;
temp->rchild = NULL;
return temp;
}
/*
This function is for creating a binary search tree
*/
void insert(node *root, node *new_node) {
if (new_node->data < root->data) {
if (root->lchild == NULL)
root->lchild = new_node;
else
insert(root->lchild, new_node);
}
if (new_node->data > root->data) {
if (root->rchild == NULL)
root->rchild = new_node;
else
insert(root->rchild, new_node);
}
}
/*
This function is for searching the node from
binary Search Tree
*/
node *search(node *root, int key, node **parent) {
node *temp;
temp = root;
while (temp != NULL) {
if (temp->data == key) {
printf(" The %d Element is Present", temp->data);
return temp;
}
*parent = temp;
if (temp->data > key)
temp = temp->lchild;
else
temp = temp->rchild;
}
return NULL;
}
/*
This function displays the tree in inorder fashion
*/
void inorder(node *temp) {
if (temp != NULL) {
inorder(temp->lchild);
printf("%d", temp->data);
inorder(temp->rchild);
}
}
/*
This function displays the tree in preorder fashion
*/
void preorder(node *temp) {
if (temp != NULL) {
printf("%d", temp->data);
preorder(temp->lchild);
preorder(temp->rchild);
}
}
/*
This function displays the tree in postorder fashion
*/
void postorder(node *temp) {
if (temp != NULL) {
postorder(temp->lchild);
postorder(temp->rchild);
printf("%d", temp->data);
}
}
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