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Select the correct answerWhich of the following permutations can be obtained in the output(in the same order),using a stack assuming that the input is the sequence A,B,C,D,E in that order?OptionsC,D,E,B,AC,D,A,B,EC,D,A,E,BC,D,E,A,B

Question

Select the correct answerWhich of the following permutations can be obtained in the output(in the same order),using a stack assuming that the input is the sequence A,B,C,D,E in that order?OptionsC,D,E,B,AC,D,A,B,EC,D,A,E,BC,D,E,A,B

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Solution

The correct answer is C,D,A,B,E.

Here's why:

A stack is a data structure that follows the Last-In-First-Out (LIFO) principle. This means that the last element that is pushed into the stack is the first one to be popped out.

Given the input sequence A,B,C,D,E, the only way to get the output sequence C,D,A,B,E is to push and pop the elements in the following order:

  1. Push A into the stack.
  2. Push B into the stack.
  3. Push C into the stack.
  4. Pop C from the stack. (Output: C)
  5. Push D into the stack.
  6. Pop D from the stack. (Output: C,D)
  7. Pop B from the stack. (Output: C,D,A)
  8. Pop A from the stack. (Output: C,D,A,B)
  9. Push E into the stack.
  10. Pop E from the stack. (Output: C,D,A,B,E)

The other options cannot be obtained using a stack with the input sequence A,B,C,D,E.

This problem has been solved

Similar Questions

Stack A has the entries a, b, c (with a on top). Stack B is empty. An entry popped out of stack A can be printed immediately or pushed to stack B. An entry popped out of the stack B can be only be printed. In this arrangement, which of the following permutations of a, b, c are not possible?

Stack M has the entries 1,2,3(with a on top).Stack N is empty.An entry popped out of stack M can be printed immediately or pushed to stack N.An entry popped out of the stack N can only be printed. In this arrangement, which of the following permutations of 1,2,3 are not possible?Options3,1,21,2,32,1,33,2,1

Select the correct answerStack M has the entries 1,2,3(with a on top).Stack N is empty.An entry popped out of stack M can be printed immediately or pushed to stack N.An entry popped out of the stack N can only be printed. In this arrangement, which of the following permutations of 1,2,3 are not possible?Options1,2,32,1,33,2,13,1,2

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In order:E,C,B,Y,Z,G,D, Preorder:B,C,E,G,Y,Z,D

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