Question

Show how to use a stack S and a queue Q to generate all possible subsets of an n-element set T nonrecursively.

Answer 1

First we have to create an empty Queue Q
Second we have to create an S
Every subsets of the T will be pushed in a queue Q
Assuming that z1,z2.....zn are the elements in T
S.push()
We will push all the elements of T into the stack until the last element for this we can use for loop for ( each element z_i in T-z1 )
while (!S.isEmpty() ) // until stack is not empty we will run a loop
x=S.pop; // in every iteration remove the element from the stack and store inside a variable
Q.enqueue(x); // enqueue the variable inside the queue
x=x ∪ ai
Q.enqueue(x);
if ( a_i is not the last element )
while (Q is not empty )
x=Q.dequeue();
S.push(x);

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