Implement Stack using Queues

The problem is opposite of this post. We are given a Queue data structure that supports standard operations like enqueue() and dequeue(). We need to implement a Stack data structure using only instances of Queue and queue operations allowed on the instances.

Stack and Queue with insert and delete operations

Recommended: Please solve it on “PRACTICE” first, before moving on to the solution.

A stack can be implemented using two queues. Let stack to be implemented be ‘s’ and queues used to implement be ‘q1’ and ‘q2’. Stack ‘s’ can be implemented in two ways:

Method 1 (By making push operation costly)
This method makes sure that newly entered element is always at the front of ‘q1’, so that pop operation just dequeues from ‘q1’. ‘q2’ is used to put every new element at front of ‘q1’.

push(s, x) operation’s step are described below:
- Enqueue x to q2
- One by one dequeue everything from q1 and enqueue to q2.
- Swap the names of q1 and q2
pop(s) operation’s function are described below:
- Dequeue an item from q1 and return it.

Below is the implementation of the above approach:

C++

/* Program to implement a stack using  
two queue */
#include <bits/stdc++.h> 
  
using namespace std; 
  
class Stack { 
    // Two inbuilt queues 
    queue<int> q1, q2; 
  
    // To maintain current number of 
    // elements 
    int curr_size; 
  
public: 
    Stack() 
    { 
        curr_size = 0; 
    } 
  
    void push(int x) 
    { 
        curr_size++; 
  
        // Push x first in empty q2 
        q2.push(x); 
  
        // Push all the remaining 
        // elements in q1 to q2. 
        while (!q1.empty()) { 
            q2.push(q1.front()); 
            q1.pop(); 
        } 
  
        // swap the names of two queues 
        queue<int> q = q1; 
        q1 = q2; 
        q2 = q; 
    } 
  
    void pop() 
    { 
  
        // if no elements are there in q1 
        if (q1.empty()) 
            return; 
        q1.pop(); 
        curr_size--; 
    } 
  
    int top() 
    { 
        if (q1.empty()) 
            return -1; 
        return q1.front(); 
    } 
  
    int size() 
    { 
        return curr_size; 
    } 
}; 
  
// Driver code 
int main() 
{ 
    Stack s; 
    s.push(1); 
    s.push(2); 
    s.push(3); 
  
    cout << "current size: " << s.size() 
         << endl; 
    cout << s.top() << endl; 
    s.pop(); 
    cout << s.top() << endl; 
    s.pop(); 
    cout << s.top() << endl; 
  
    cout << "current size: " << s.size() 
         << endl; 
    return 0; 
} 
// This code is contributed by Chhavi 

Java

/* Java Program to implement a stack using  
two queue */
import java.util.*; 
  
class GfG { 
  
    static class Stack { 
        // Two inbuilt queues 
        static Queue<Integer> q1 = new LinkedList<Integer>(); 
        static Queue<Integer> q2 = new LinkedList<Integer>(); 
  
        // To maintain current number of 
        // elements 
        static int curr_size; 
  
        Stack() 
        { 
            curr_size = 0; 
        } 
  
        static void push(int x) 
        { 
            curr_size++; 
  
            // Push x first in empty q2 
            q2.add(x); 
  
            // Push all the remaining 
            // elements in q1 to q2. 
            while (!q1.isEmpty()) { 
                q2.add(q1.peek()); 
                q1.remove(); 
            } 
  
            // swap the names of two queues 
            Queue<Integer> q = q1; 
            q1 = q2; 
            q2 = q; 
        } 
  
        static void pop() 
        { 
  
            // if no elements are there in q1 
            if (q1.isEmpty()) 
                return; 
            q1.remove(); 
            curr_size--; 
        } 
  
        static int top() 
        { 
            if (q1.isEmpty()) 
                return -1; 
            return q1.peek(); 
        } 
  
        static int size() 
        { 
            return curr_size; 
        } 
    } 
  
    // driver code 
    public static void main(String[] args) 
    { 
        Stack s = new Stack(); 
        s.push(1); 
        s.push(2); 
        s.push(3); 
  
        System.out.println("current size: " + s.size()); 
        System.out.println(s.top()); 
        s.pop(); 
        System.out.println(s.top()); 
        s.pop(); 
        System.out.println(s.top()); 
  
        System.out.println("current size: " + s.size()); 
    } 
} 
// This code is contributed by Prerna 

Python3

# Program to implement a stack using  
# two queue  
from queue import Queue 
  
class Stack: 
      
    def __init__(self): 
          
        # Two inbuilt queues  
        self.q1 = Queue() 
        self.q2 = Queue()  
              
        # To maintain current number  
        # of elements 
        self.curr_size = 0
  
    def push(self, x): 
        self.curr_size += 1
  
        # Push x first in empty q2  
        self.q2.put(x)  
  
        # Push all the remaining  
        # elements in q1 to q2.  
        while (not self.q1.empty()): 
            self.q2.put(self.q1.queue[0])  
            self.q1.get() 
  
        # swap the names of two queues  
        self.q = self.q1  
        self.q1 = self.q2  
        self.q2 = self.q 
  
    def pop(self): 
  
        # if no elements are there in q1  
        if (self.q1.empty()):  
            return
        self.q1.get()  
        self.curr_size -= 1
  
    def top(self): 
        if (self.q1.empty()): 
            return -1
        return self.q1.queue[0] 
  
    def size(self): 
        return self.curr_size 
  
# Driver Code  
if __name__ == '__main__': 
    s = Stack() 
    s.push(1)  
    s.push(2)  
    s.push(3)  
  
    print("current size: ", s.size()) 
    print(s.top())  
    s.pop()  
    print(s.top())  
    s.pop()  
    print(s.top())  
  
    print("current size: ", s.size()) 
  
# This code is contributed by PranchalK 

C#

/* C# Program to implement a stack using  
two queue */
using System; 
using System.Collections; 
  
class GfG { 
  
    public class Stack { 
        // Two inbuilt queues 
        public Queue q1 = new Queue(); 
        public Queue q2 = new Queue(); 
  
        // To maintain current number of 
        // elements 
        public int curr_size; 
  
        public Stack() 
        { 
            curr_size = 0; 
        } 
  
        public void push(int x) 
        { 
            curr_size++; 
  
            // Push x first in empty q2 
            q2.Enqueue(x); 
  
            // Push all the remaining 
            // elements in q1 to q2. 
            while (q1.Count > 0) { 
                q2.Enqueue(q1.Peek()); 
                q1.Dequeue(); 
            } 
  
            // swap the names of two queues 
            Queue q = q1; 
            q1 = q2; 
            q2 = q; 
        } 
  
        public void pop() 
        { 
  
            // if no elements are there in q1 
            if (q1.Count == 0) 
                return; 
            q1.Dequeue(); 
            curr_size--; 
        } 
  
        public int top() 
        { 
            if (q1.Count == 0) 
                return -1; 
            return (int)q1.Peek(); 
        } 
  
        public int size() 
        { 
            return curr_size; 
        } 
    }; 
  
    // Driver code 
    public static void Main(String[] args) 
    { 
        Stack s = new Stack(); 
        s.push(1); 
        s.push(2); 
        s.push(3); 
        Console.WriteLine("current size: " + s.size()); 
        Console.WriteLine(s.top()); 
        s.pop(); 
        Console.WriteLine(s.top()); 
        s.pop(); 
        Console.WriteLine(s.top()); 
        Console.WriteLine("current size: " + s.size()); 
    } 
} 
  
// This code is contributed by Arnab Kundu 

Output :

current size: 3
3
2
1
current size: 1

Method 2 (By making pop operation costly)
In push operation, the new element is always enqueued to q1. In pop() operation, if q2 is empty then all the elements except the last, are moved to q2. Finally the last element is dequeued from q1 and returned.

push(s, x) operation:
- Enqueue x to q1 (assuming size of q1 is unlimited).
pop(s) operation:
- One by one dequeue everything except the last element from q1 and enqueue to q2.
- Dequeue the last item of q1, the dequeued item is result, store it.
- Swap the names of q1 and q2
- Return the item stored in step 2.

C++

/* Program to implement a stack  
using two queue */
#include <bits/stdc++.h> 
using namespace std; 
  
class Stack { 
    queue<int> q1, q2; 
    int curr_size; 
  
public: 
    Stack() 
    { 
        curr_size = 0; 
    } 
  
    void pop() 
    { 
        if (q1.empty()) 
            return; 
  
        // Leave one element in q1 and 
        // push others in q2. 
        while (q1.size() != 1) { 
            q2.push(q1.front()); 
            q1.pop(); 
        } 
  
        // Pop the only left element 
        // from q1 
        q1.pop(); 
        curr_size--; 
  
        // swap the names of two queues 
        queue<int> q = q1; 
        q1 = q2; 
        q2 = q; 
    } 
  
    void push(int x) 
    { 
        q1.push(x); 
        curr_size++; 
    } 
  
    int top() 
    { 
        if (q1.empty()) 
            return -1; 
  
        while (q1.size() != 1) { 
            q2.push(q1.front()); 
            q1.pop(); 
        } 
  
        // last pushed element 
        int temp = q1.front(); 
  
        // to empty the auxiliary queue after 
        // last operation 
        q1.pop(); 
  
        // push last element to q2 
        q2.push(temp); 
  
        // swap the two queues names 
        queue<int> q = q1; 
        q1 = q2; 
        q2 = q; 
        return temp; 
    } 
  
    int size() 
    { 
        return curr_size; 
    } 
}; 
  
// Driver code 
int main() 
{ 
    Stack s; 
    s.push(1); 
    s.push(2); 
    s.push(3); 
    s.push(4); 
  
    cout << "current size: " << s.size() 
         << endl; 
    cout << s.top() << endl; 
    s.pop(); 
    cout << s.top() << endl; 
    s.pop(); 
    cout << s.top() << endl; 
    cout << "current size: " << s.size() 
         << endl; 
    return 0; 
} 
// This code is contributed by Chhavi 

Java

/* Java Program to implement a stack  
using two queue */
import java.util.*; 
  
class Stack { 
    Queue<Integer> q1 = new LinkedList<>(), q2 = new LinkedList<>(); 
    int curr_size; 
  
    public Stack() 
    { 
        curr_size = 0; 
    } 
  
    void remove() 
    { 
        if (q1.isEmpty()) 
            return; 
  
        // Leave one element in q1 and 
        // push others in q2. 
        while (q1.size() != 1) { 
            q2.add(q1.peek()); 
            q1.remove(); 
        } 
  
        // Pop the only left element 
        // from q1 
        q1.remove(); 
        curr_size--; 
  
        // swap the names of two queues 
        Queue<Integer> q = q1; 
        q1 = q2; 
        q2 = q; 
    } 
  
    void add(int x) 
    { 
        q1.add(x); 
        curr_size++; 
    } 
  
    int top() 
    { 
        if (q1.isEmpty()) 
            return -1; 
  
        while (q1.size() != 1) { 
            q2.add(q1.peek()); 
            q1.remove(); 
        } 
  
        // last pushed element 
        int temp = q1.peek(); 
  
        // to empty the auxiliary queue after 
        // last operation 
        q1.remove(); 
  
        // push last element to q2 
        q2.add(temp); 
  
        // swap the two queues names 
        Queue<Integer> q = q1; 
        q1 = q2; 
        q2 = q; 
        return temp; 
    } 
  
    int size() 
    { 
        return curr_size; 
    } 
  
    // Driver code 
    public static void main(String[] args) 
    { 
        Stack s = new Stack(); 
        s.add(1); 
        s.add(2); 
        s.add(3); 
        s.add(4); 
  
        System.out.println("current size: " + s.size()); 
        System.out.println(s.top()); 
        s.remove(); 
        System.out.println(s.top()); 
        s.remove(); 
        System.out.println(s.top()); 
        System.out.println("current size: " + s.size()); 
    } 
} 
  
// This code is contributed by Princi Singh 

C#

using System;  
using System.Collections;  
class GfG  
{  
    public class Stack  
    {  
        public Queue q1 = new Queue();  
        public Queue q2 = new Queue();  
        //Just enqueue the new element to q1  
        public void Push(int x) => q1.Enqueue(x);  
  
        //move all elements from q1 to q2 except the rear of q1.  
        //Store the rear of q1  
        //swap q1 and q2  
        //return the stored result  
        public int Pop()  
        {  
            if (q1.Count == 0)  
                return -1;  
            while (q1.Count > 1)  
            {  
                q2.Enqueue(q1.Dequeue());  
            }  
            int res = (int)q1.Dequeue();  
            Queue temp = q1;  
            q1 = q2;  
            q2 = temp;  
            return res;  
        }  
  
        public int Size() => q1.Count;  
  
        public int Top()  
        {  
            if (q1.Count == 0)  
                return -1;  
            while (q1.Count > 1)  
            {  
                q2.Enqueue(q1.Dequeue());  
            }  
            int res = (int)q1.Dequeue();  
            q2.Enqueue(res);  
            Queue temp = q1;  
            q1 = q2;  
            q2 = temp;  
            return res;  
        }  
    };  
    public static void Main(String[] args)  
    {  
        Stack s = new Stack();  
    s.Push(1);  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
    s.Push(7);  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
    s.Push(9);  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
  
    s.Pop();  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
    s.Pop();  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
  
    s.Push(5);  
    Console.WriteLine("Size of Stack: " + s.Size() + "\tTop : " + s.Top());  
    }  
}  
//Submitted by Sakti Prasad  
  
//Size of Stack: 1 Top : 1  
//Size of Stack: 2 Top : 7  
//Size of Stack: 3 Top : 9  
//Size of Stack: 2 Top : 7  
//Size of Stack: 1 Top : 1  
//Size of Stack: 2 Top : 5  

Output :

current size: 4
4
3
2
current size: 2

References:
Implement Stack using Two Queues

This article is compiled by Sumit Jain and reviewed by GeeksforGeeks team. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

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