notes/OJ notes/pages/Leetcode Implement-Queue-Using-Stacks.md
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# Leetcode Implement-Queue-Using-Stacks
#### 2022-07-03 09:52
> ##### Data structures:
> #DS #stack #queue
> ##### Difficulty:
> #coding_problem #difficulty-easy
> ##### Additional tags:
> #leetcode #CS_list_need_understanding
> ##### Revisions:
> N/A
##### Related topics:
```expander
tag:#stack tag:#queue
```
##### Links:
- [Link to problem](https://leetcode.com/problems/implement-queue-using-stacks/submissions/)
___
### Problem
Implement a first in first out (FIFO) queue using only two stacks. The implemented queue should support all the functions of a normal queue (`push`, `peek`, `pop`, and `empty`).
Implement the `MyQueue` class:
- `void push(int x)` Pushes element x to the back of the queue.
- `int pop()` Removes the element from the front of the queue and returns it.
- `int peek()` Returns the element at the front of the queue.
- `boolean empty()` Returns `true` if the queue is empty, `false` otherwise.
**Notes:**
- 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.
- Depending on your language, the stack may not be supported natively. You may simulate a stack using a list or deque (double-ended queue) as long as you use only a stack's standard operations.
#### Examples
**Input**
```
["MyQueue", "push", "push", "peek", "pop", "empty"]
[[], [1], [2], [], [], []]
```
**Output**
[null, null, null, 1, 1, false]
**Explanation**
MyQueue myQueue = new MyQueue();
myQueue.push(1); // queue is: [1]
myQueue.push(2); // queue is: [1, 2] (leftmost is front of the queue)
myQueue.peek(); // return 1
myQueue.pop(); // return 1, queue is [2]
myQueue.empty(); // return false
#### Constraints
**Constraints:**
- `1 <= x <= 9`
- At most `100` calls will be made to `push`, `pop`, `peek`, and `empty`.
- All the calls to `pop` and `peek` are valid.
### Thoughts
> [!summary]
> Use two stacks to implement a queue.
One stack reverse the FIFO order, but two stack can reverse back.
In real life, this can improve speed as you only lock one stack because of thread safety.
### Solution
```cpp
class MyQueue {
stack<int> input;
stack<int> out;
public:
void push(int x) { input.push(x); }
int pop() {
move();
int top = out.top();
out.pop();
return top;
}
int peek() {
move();
return out.top();
}
void move() {
if (out.empty()) {
while (!input.empty()) {
out.push(input.top());
input.pop();
}
}
}
bool empty() { return input.empty() && out.empty(); }
};
/**
* Your MyQueue object will be instantiated and called as such:
* MyQueue* obj = new MyQueue();
* obj->push(x);
* int param_2 = obj->pop();
* int param_3 = obj->peek();
* bool param_4 = obj->empty();
*/
```