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Multiplication of Numbers

A program att...

Question

A program attempts to generate as many permutations as possible of the string, 'abcd' by pushing the characters a, b, c, d in the same order onto a stack, but it may pop off the loop character at anytime. Which one of the following strings CANNOT be generated using this program?

A

cabd

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B

cbad

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C

abcd

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D

dcba

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Solution

The correct option is A cabd

For every element push an element and pop immediately i.e. push (a) then pop will give permutation abcd.

For all elements push (a), push (b), push(c) and push(d) then pop, pop, pop, pop will give us dcba.

Push (a), push (b), push (c) then pop, pop, pop will give is cba, then push (d) and pop will gives us dcba.

Option (d) in not possible because a cannot pop after c and before 'b'.

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Which of the following string cannot be generated by given CFG?

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Q. Suppose a stack implementation supports and instruction REVERSE, while reverses the order of elements on the stack, in addition to the PUSH and POP instructions. Which one of the following statements is TRUE with respect to the modified stack?

Q. Consider the following C program:

# include <stdio.h>
# define EOF - 1
void push (int); /* push the argument on the stack */
int pop (void); /* pop the top of the stack*/
void flag Error( );
int main ( )
{
int c, m, n, r;
while ((c = getchar ( ))! = EOF)
{
if (isdigit (c))
push (c);
else if ((c = = '+') | | (c = = '*'))
{
m = pop ( );
n = pop ( );
r = (c = = '+') n + m : n*m;
push (r);
}
else if ( c! = ' ')
flag Error ( );
}
printf("%c", pop( ));
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What is the output of the program for the following input?

5 2 * 3 3 2 + * +

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