Design Front Middle Back Queue

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from collections import deque

class FrontMiddleBackQueue:
    def __init__(self):
        self.a = deque()
        self.b = deque()

    def a2b(self):
        if len(self.a) <= len(self.b):
            return
        self.b.appendleft(self.a.pop())

    def b2a(self):
        if len(self.b) <= len(self.a) + 1:
            return
        self.a.append(self.b.popleft())

    def pushFront(self, val: int) -> None:
        self.a.appendleft(val)
        self.a2b()

    def pushMiddle(self, val: int) -> None:
        self.a.append(val)
        self.a2b()

    def pushBack(self, val: int) -> None:
        self.b.append(val)
        self.b2a()

    def popFront(self) -> int:
        if not self.a and not self.b:
            return -1
        ans = None
        if not self.a:
            ans = self.b.popleft()
        else:
            ans = self.a.popleft()
            self.b2a()
        return ans

    def popMiddle(self) -> int:
        if not self.a and not self.b:
            return -1
        ans = None
        if len(self.a) == len(self.b):
            ans = self.a.pop()
        else:
            ans = self.b.popleft()
        return ans

    def popBack(self) -> int:
        if not self.a and not self.b:
            return -1
        ans = self.b.pop()
        self.a2b()
        return ans