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 Stack S₂ PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) PopS2 (y) PopS2 (w) Bottom of 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 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 pushed into it invoking PushS1(x) and PushS2(x)? ii) How would array A look if the following operations were carried out in a sequence? What values do the variables w and y represent at the end of the operations?

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 Stack S₂ PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) PopS2 (y) PopS2 (w) Bottom of 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 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 pushed into it invoking PushS1(x) and PushS2(x)? ii) How would array A look if the following operations were carried out in a sequence? What values do the variables w and y represent at the end of the operations?

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 1TF

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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/21+1] [n-2] [n-1] [n] Bottom of Stack S₁ ... PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) PopS2 (y) PopS2 (w) Stack S₂ Bottom of 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 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…
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