Suppose the numbers 0, 1, 2, .9 were pushed onto a stack in that order, but that pops occurred at random points between the various pushes. The following is a valid sequence in which the values in the stack could have been popped: 3, 2, 6, 5, 7, 4, 1, 0, 9, 8 Explain why it is not possible that 3, 2, 6, 4, 7, 5, 1, 0, 9, 8 is a valid sequence in which the values could have been popped off the stack.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 15SA
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2. Suppose the numbers 0, 1, 2, ., 9 were pushed onto a stack in that order, but that pops
occurred at random points between the various pushes. The following is a valid sequence in
which the values in the stack could have been popped:
3, 2, 6, 5, 7, 4, 1, 0, 9, 8
Explain why it is not possible that
3, 2, 6, 4, 7, 5, 1, 0, 9, 8
is a valid sequence in which the values could have been popped off the stack.
Transcribed Image Text:2. Suppose the numbers 0, 1, 2, ., 9 were pushed onto a stack in that order, but that pops occurred at random points between the various pushes. The following is a valid sequence in which the values in the stack could have been popped: 3, 2, 6, 5, 7, 4, 1, 0, 9, 8 Explain why it is not possible that 3, 2, 6, 4, 7, 5, 1, 0, 9, 8 is a valid sequence in which the values could have been popped off the stack.
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