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Identify the improper stack permutation for the input sequence a, b, c, d?
Hint:
A stack permutation is a permutation of items in the supplied input queue that is accomplished by transferring elements from the input queue to the output queue using a stack and the built-in push and pop operations.
- a)c, d, b, a
- b)d, c, a, b
- c)b, d, c, a
- d)a, d, c, b
Correct answer is option 'B'. Can you explain this answer?
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Identify the improper stack permutation for the input sequence a, b, c...
Concept:
stack permutation:
A stack permutation is a permutation of items in the supplied input queue that is accomplished by transferring elements from the input queue to the output queue using a stack and the built-in push and pop operations.
Option 1: c, d, b, a
Input: a, b, c, d
Output: c, d, b, a
push a
push b
push c
pop -----------> pop the topmost element i.e c
push d
pop ----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e b
pop ----------> pop the topmost element i.e a
Hence the given sequence is the proper sequence.
Option 2: d, c, a, b
Input: a, b, c, d
Output: d, c, a, b
push a
push b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e b
Hence the given sequence is not proper. We can not get element a before b.
Option 3:b, d, c, a
input: a, b, c, d
Output: b, d, c, a
push a
push b
pop ----------> pop the topmost element i.e b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e a
Hence the given sequence is the proper sequence.
Option 4:a, d, c, b
input: a, b, c, d
Output: a, d, c, b
push a
pop ----------> pop the topmost element i.e a
push b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e b
Hence the given sequence is the proper sequence.
Hence the correct answer is d, c, a, b.
stack permutation:
A stack permutation is a permutation of items in the supplied input queue that is accomplished by transferring elements from the input queue to the output queue using a stack and the built-in push and pop operations.
Option 1: c, d, b, a
Input: a, b, c, d
Output: c, d, b, a
push a
push b
push c
pop -----------> pop the topmost element i.e c
push d
pop ----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e b
pop ----------> pop the topmost element i.e a
Hence the given sequence is the proper sequence.
Option 2: d, c, a, b
Input: a, b, c, d
Output: d, c, a, b
push a
push b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e b
Hence the given sequence is not proper. We can not get element a before b.
Option 3:b, d, c, a
input: a, b, c, d
Output: b, d, c, a
push a
push b
pop ----------> pop the topmost element i.e b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e a
Hence the given sequence is the proper sequence.
Option 4:a, d, c, b
input: a, b, c, d
Output: a, d, c, b
push a
pop ----------> pop the topmost element i.e a
push b
push c
push d
pop -----------> pop the topmost element i.e d
pop ----------> pop the topmost element i.e c
pop ----------> pop the topmost element i.e b
Hence the given sequence is the proper sequence.
Hence the correct answer is d, c, a, b.
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Identify the improper stack permutation for the input sequence a, b, c, d?Hint:A stack permutation is a permutation of items in the supplied input queue that is accomplished by transferring elements from the input queue to the output queue using a stack and the built-in push and pop operations.a)c, d, b, ab)d, c, a, bc)b, d, c, ad)a, d, c, bCorrect answer is option 'B'. Can you explain this answer?
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