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https://github.com/emahtab/implement-queue-using-stacks

Implement Queue using Stacks
https://github.com/emahtab/implement-queue-using-stacks

leetcode problem-solving queue stack

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Implement Queue using Stacks

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# Implement Queue using Stacks
## https://leetcode.com/problems/implement-queue-using-stacks

Implement the following operations of a queue using stacks.

1. push(x) -- Push element x to the back of queue.
2. pop() -- Removes the element from in front of queue.
3. peek() -- Get the front element.
4. empty() -- Return whether the queue is empty.

```
Example:

MyQueue queue = new MyQueue();

queue.push(1);
queue.push(2);
queue.peek(); // returns 1
queue.pop(); // returns 1
queue.empty(); // returns false
```
**Notes:**

1. You must use only standard operations of a stack -- which means only push to top, peek/pop from top, size, and is empty operations are valid.
2. Depending on your language, stack may not be supported natively. You may simulate a stack by using a list or deque (double-ended queue), as long as you use only standard operations of a stack.
3. You may assume that all operations are valid (for example, no pop or peek operations will be called on an empty queue).

## Implementation 1 : 2 Stacks

```java
class MyQueue {

/** Initialize your data structure here. */
private Stack stack = new Stack<>();

/** Push element x to the back of queue. */
public void push(int x) {
stack.push(x);
}

/** Removes the element from in front of queue and returns that element. */
public int pop() {
Stack temp = new Stack<>();
while(!stack.isEmpty()){
temp.push(stack.pop());
}
int top = temp.pop();
while(!temp.isEmpty()){
stack.push(temp.pop());
}
return top;
}

/** Get the front element. */
public int peek() {
Stack temp = new Stack<>();
while(!stack.isEmpty()){
temp.push(stack.pop());
}
int top = temp.peek();
while(!temp.isEmpty()){
stack.push(temp.pop());
}
return top;
}

/** Returns whether the queue is empty. */
public boolean empty() {
return stack.isEmpty();
}
}
```
## Implementation 1 : 2 Stacks (Improvements)
```java
class MyQueue {

/** Initialize your data structure here. */
private Stack stack = new Stack<>();
private Stack auxiliaryStack = new Stack<>();
private int front;

/** Push element x to the back of queue. */
public void push(int x) {
if(stack.isEmpty())
front = x;
stack.push(x);
}

/** Removes the element from in front of queue and returns that element. */
public int pop() {
while(!stack.isEmpty()){
auxiliaryStack.push(stack.pop());
}
int top = auxiliaryStack.pop();
while(!auxiliaryStack.isEmpty()){
if(stack.isEmpty())
front = auxiliaryStack.peek();
stack.push(auxiliaryStack.pop());
}
return top;
}

/** Get the front element. */
public int peek() {
return front;
}

/** Returns whether the queue is empty. */
public boolean empty() {
return stack.isEmpty();
}
}
```

## Implementation 2 : 2 Stacks (Much better approach)
```java
class MyQueue {

/** Initialize your data structure here. */
private Stack stack = new Stack<>();
private Stack auxiliaryStack = new Stack<>();
private int front;

/** Push element x to the back of queue. */
public void push(int x) {
if(stack.isEmpty())
front = x;
stack.push(x);
}

/** Removes the element from in front of queue and returns that element. */
public int pop() {
if (auxiliaryStack.isEmpty()) {
while (!stack.isEmpty())
auxiliaryStack.push(stack.pop());
}
return auxiliaryStack.pop();
}

/** Get the front element. */
public int peek() {
if (!auxiliaryStack.isEmpty()) {
return auxiliaryStack.peek();
}
return front;
}

/** Returns whether the queue is empty. */
public boolean empty() {
return stack.isEmpty() && auxiliaryStack.isEmpty();
}
}

```

# References :
1. https://www.youtube.com/watch?v=Wg8IiY1LbII
2. https://leetcode.com/articles/implement-queue-using-stacks