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Abhishek Chaudhary
Abhishek Chaudhary

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Implement Stack using Queues

Implement a last-in-first-out (LIFO) stack using only two queues. The implemented stack should support all the functions of a normal stack (push, top, pop, and empty).

Implement the MyStack class:

  • void push(int x) Pushes element x to the top of the stack.
  • int pop() Removes the element on the top of the stack and returns it.
  • int top() Returns the element on the top of the stack.
  • boolean empty() Returns true if the stack is empty, false otherwise.


  • You must use only standard operations of a queue, which means that only push to back, peek/pop from front, size and is empty operations are valid.
  • Depending on your language, the queue may not be supported natively. You may simulate a queue using a list or deque (double-ended queue) as long as you use only a queue's standard operations.

Example 1:

["MyStack", "push", "push", "top", "pop", "empty"]
[[], [1], [2], [], [], []]
[null, null, null, 2, 2, false]

MyStack myStack = new MyStack();
myStack.push(2);; // return 2
myStack.pop(); // return 2
myStack.empty(); // return False


  • 1 <= x <= 9
  • At most 100 calls will be made to push, pop, top, and empty.
  • All the calls to pop and top are valid.

Follow-up: Can you implement the stack using only one queue?


class MyStack:

    def __init__(self):
        self.stack = []

    def push(self, x: int) -> None:

    def pop(self) -> int:
        if not self.empty():
            return self.stack.pop()

    def top(self) -> int:
        if not self.empty():
            return self.stack[-1]

    def empty(self) -> bool:
        return len(self.stack) == 0

# Your MyStack object will be instantiated and called as such:
# obj = MyStack()
# obj.push(x)
# param_2 = obj.pop()
# param_3 =
# param_4 = obj.empty()
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