To decide whether it is possible to push k items onto the stack would require O ( 1 ) time on the amortized cost of the stack operations by using the MULTIPUSH operation.

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Chapter 17.1, Problem 1E

Program Plan Intro

To decide whether it is possible to push k items onto the stack would require O(1) time on the amortized cost of the stack operations by using the MULTIPUSH operation.

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Two stacks S1 and S2 are to be stored in a single array A[1:n], with PushS1 (x) and PushS2 (x) handling their respective push operations with regard to element x and PopS1 (x) and PopS2 (x) handling their respective pop operations, with the output variable x indicating the element popped out from the stack. Let TopS1 and TopS2 be their respective top-of-stack variables. The stacks share their storage space in such a way that their respective bottom of stacks are positioned in the middle of the array, as shown in Figure P4.1, and the stacks grow in the opposite directions. Array A: [1] [2] [3]... Stack S₁ . [[n/2]][[n/2]+1] [n-2] [n-1] [n] Bottom of Stack S₁ PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) Stack S₂ Figure P4.1. Two stacks are stored in a single array A with the bottom of stacks positioned in the middle of the array PopS2 (y) PopS2 (w) Bottom of Stack S₂ i) For n = 5, if S1 = {a, b} and S2 = {m, n}, how would array A look after all of the elements of stacks S1 and S2 were…