Important Question Of Stack.
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Qn1. What condition is represents a stack is empty in array and link list ?
Ans:- Stack Underflow condition is represents a stack is empty in array and link list .
Qn2. What condition it represents a stack is full in array and link list ?
Ans. Stack overflow condition is represents a stack is empty in array and link list .
Qn3. What is the time complexity to push and pop elements in stack ?
Ans The time complexity to push and pop elements in stack is O(1).
Qn4. Write a c program to push and pop elements in a stack ?
Ans:-#include<stdio.h>
int x[5];
int i=-1;
void push (int );
int pop();
int full();
int empty();
main()
{
int data;
int n;
do
{
printf("\n1 for push");
printf("\n2 for pop");
printf("\n0 for stop");
printf("\nEnter choice : ");
scanf("%d",&n);
if(n==1)
{
if (full())
{
printf("stack is full !\n");
continue;
}
printf("enter data to push : ");
scanf("%d",&data);
push (data);
}
else
if(n==2)
{
if(empty())
{
printf("Stack is empty !\n");
continue;
}
data=pop();
printf("%d\n",data);
}
}while(n!=0);
}
void push(int data)
{
i++;
x[i]=data;
}
int pop()
{
int n=x[i];
i--;
return n;
}
int full()
{
if(i>4)
{
return 1;
}
else
return 0;
}
int empty()
{
if(i==-1)
return 1;
else
return 0;
}
output:-1 for push
2 for pop
0 for stop
Enter choice : 1
enter data to push : 10
1 for push
2 for pop
0 for stop
Enter choice : 1
enter data to push : 11
1 for push
2 for pop
0 for stop
Enter choice : 2
11
Qn5. Write a c program to convert a number decimal to binary ?
Ans:-#include<stdio.h>
#define MAX 10
typedef struct stack
{
int data[MAX];
int top;
}stack;
int empty(stack *s)
{
if(s->top==-1)
return(1);
return(0);
}
int full (stack *s)
{
if(s->top==MAX-1)
return(1);
return(0);
}
void push(stack *s,int x)
{
s->top=s->top+1;
s->data[s->top]=x;
}
int pop(stack *s)
{
int x;
x=s->data[s->top];
s->top=s->top-1;
return (x);
}
void main()
{
stack s;
int num;
s.top=-1;
printf("enter decimal number:");
scanf("%d",&num);
while(num!=0)
{
if(!full(&s))
{
push(&s,num%2);
num=num/2;
}
else
{
printf("nstack overflow");
exit(0);
}
}
while(!empty(&s))
{
num=pop(&s);
printf("%d",num);
}
}
Output:-enter decimal number:55
110111
Qn6. Write a program to check the string"([]({()}[()]))" is balanced or not ?
Ans:-#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#define MAX 25
int top = -1;
int stack[MAX];
void push(char item)
{
if(top == (MAX - 1))
{
printf("Stack is Full\n");
return;
}
top++;
stack[top] = item;
}
char pop()
{
if(top == -1)
{
printf("Stack is Empty\n");
exit(1);
}
return(stack[top--]);
}
int match_paranthesis(char a, char b)
{
if(a == '[' && b == ']')
{
return 1;
}
else if(a == '{' && b == '}')
{
return 1;
}
else if(a == '(' && b == ')')
{
return 1;
}
return 0;
}
int check_paranthesis(char expression[])
{
int count;
char temp;
for(count = 0; count < strlen(expression); count++)
{
if(expression[count] == '(' || expression[count] == '{' || expression[count] == '[')
{
push(expression[count]);
}
if(expression[count] == ')' || expression[count] == '}' || expression[count] == ']')
{
if(top == -1)
{
printf("The Right Parentheses are more than the Left Parentheses\n");
return 0;
}
else
{
temp = pop();
if(!match_paranthesis(temp, expression[count]))
{
printf("The Mismatched Parentheses in the Expression are:\t%c and %c\n", temp, expression[count]);
return 0;
}
}
}
}
if(top == -1)
{
printf("\nThe Expression has Balanced Parentheses\n");
return 1;
}
else
{
printf("The Expression has unbalanced parentheses\n");
return 0;
}
}
int main()
{
char expression[MAX];
int validity;
printf("\nEnter an Algebraic Expression:\t");
scanf("%s", expression);
validity = check_paranthesis(expression);
if(validity == 1)
{
printf("The Expression is Valid\n");
}
else
{
printf("The Expression is Invalid\n");
}
return 0;
}
Output:-Enter an Algebraic Expression: {()}()
The Expression has Balanced Parentheses
The Expression is Valid
Qn7. Write a program to convert infix expression to postfix expression ?
Ans:- #include<stdio.h>
#include<stdlib.h>
#include<string.h>
int pre(char );
main()
{
char x[30];
int i,j=-1,k=-1,a,b;
char opd[30],opr[30];
printf("Enter infix Expression : ");
scanf("%s",x);
for(i=0;i<strlen(x);i++)
{
if(x[i]>=48 && x[i]<=57)
{
j++;
opd[j]=x[i];
}
else
{
if(k==-1)
{
k++;
opr[k]=x[i];
}
else
{
a=pre(x[i]);
b=pre(opr[k]);
while(k>=0 && a<=b )
{
j++;
opd[j]=opr[k];
k--;
if(k==-1)
{
break;
}
b=pre(opr[k]);
}
k++;
opr[k]=x[i];
}
}
}
while(k>=0)
{
j++;
opd[j]=opr[k];
k--;
}
for(i=0;i<=j;i++)
{
printf("%c",opd[i]);
}
}
int pre(char m)
{
switch(m)
{
case '+':
case '-':
return 4;
case '*':
case '/':
case '%':
return 5;
}
}
Output:- Enter infix Expression : (6+3-1)*(7-3+2)
6(3+1-)*7(3-2+) postfix expression
Qn8. Write a program to evaluate the postfix or prefix expression ?
Ans:- Postfix Evaluation:-
#include<stdio.h>
#include<string.h>
main()
{
char x[30];
int i,j=-1,a,b,c;
char stack[10];
printf("Enter postfix Expression : ");
scanf("%s",x);
for(i=0;i<strlen(x);i++)
{
if(x[i]>=48 && x[i]<=57)
{
j++;
stack[j]=x[i]-48;
}
else
{
b=stack[j];
j--;
a=stack[j];
j--;
if(x[i]=='+')
c=a+b;
else if(x[i]=='-')
c=a-b;
else if(x[i]=='*')
c=a*b;
else if(x[i]=='/')
c=a/b;
j++;
stack[j]=c;
}
}
printf("%d",stack[j]);
}
Output:- Enter postfix Expression : 593/+8+6-
10
Qn9. Which data structure used by tower of hanoi ?
Ans :- Stack data structure is used by tower of hanoi .
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