# GeetCode Hub

Design a queue that supports `push` and `pop` operations in the front, middle, and back.

Implement the `FrontMiddleBack` class:

• `FrontMiddleBack()` Initializes the queue.
• `void pushFront(int val)` Adds `val` to the front of the queue.
• `void pushMiddle(int val)` Adds `val` to the middle of the queue.
• `void pushBack(int val)` Adds `val` to the back of the queue.
• `int popFront()` Removes the front element of the queue and returns it. If the queue is empty, return `-1`.
• `int popMiddle()` Removes the middle element of the queue and returns it. If the queue is empty, return `-1`.
• `int popBack()` Removes the back element of the queue and returns it. If the queue is empty, return `-1`.

Notice that when there are two middle position choices, the operation is performed on the frontmost middle position choice. For example:

• Pushing `6` into the middle of `[1, 2, 3, 4, 5]` results in `[1, 2, 6, 3, 4, 5]`.
• Popping the middle from `[1, 2, 3, 4, 5, 6]` returns `3` and results in `[1, 2, 4, 5, 6]`.

Example 1:

```Input:
["FrontMiddleBackQueue", "pushFront", "pushBack", "pushMiddle", "pushMiddle", "popFront", "popMiddle", "popMiddle", "popBack", "popFront"]
[[], [1], [2], [3], [4], [], [], [], [], []]
Output:
[null, null, null, null, null, 1, 3, 4, 2, -1]

Explanation:
FrontMiddleBackQueue q = new FrontMiddleBackQueue();
q.pushFront(1);   // [1]
q.pushBack(2);    // [1, 2]
q.pushMiddle(3);  // [1, 3, 2]
q.pushMiddle(4);  // [1, 4, 3, 2]
q.popFront();     // return 1 -> [4, 3, 2]
q.popMiddle();    // return 3 -> [4, 2]
q.popMiddle();    // return 4 -> [2]
q.popBack();      // return 2 -> []
q.popFront();     // return -1 -> [] (The queue is empty)
```

Constraints:

• `1 <= val <= 109`
• At most `1000` calls will be made to `pushFront``pushMiddle``pushBack`, `popFront`, `popMiddle`, and `popBack`.

class FrontMiddleBackQueue { public FrontMiddleBackQueue() { } public void pushFront(int val) { } public void pushMiddle(int val) { } public void pushBack(int val) { } public int popFront() { } public int popMiddle() { } public int popBack() { } } /** * Your FrontMiddleBackQueue object will be instantiated and called as such: * FrontMiddleBackQueue obj = new FrontMiddleBackQueue(); * obj.pushFront(val); * obj.pushMiddle(val); * obj.pushBack(val); * int param_4 = obj.popFront(); * int param_5 = obj.popMiddle(); * int param_6 = obj.popBack(); */
Medium
Medium