Design Circular Deque
<p>Design your implementation of the circular double-ended queue (deque).</p>

<p>Implement the <code>MyCircularDeque</code> class:</p>

<ul>
	<li><code>MyCircularDeque(int k)</code> Initializes the deque with a maximum size of <code>k</code>.</li>
	<li><code>boolean insertFront()</code> Adds an item at the front of Deque. Returns <code>true</code> if the operation is successful, or <code>false</code> otherwise.</li>
	<li><code>boolean insertLast()</code> Adds an item at the rear of Deque. Returns <code>true</code> if the operation is successful, or <code>false</code> otherwise.</li>
	<li><code>boolean deleteFront()</code> Deletes an item from the front of Deque. Returns <code>true</code> if the operation is successful, or <code>false</code> otherwise.</li>
	<li><code>boolean deleteLast()</code> Deletes an item from the rear of Deque. Returns <code>true</code> if the operation is successful, or <code>false</code> otherwise.</li>
	<li><code>int getFront()</code> Returns the front item from the Deque. Returns <code>-1</code> if the deque is empty.</li>
	<li><code>int getRear()</code> Returns the last item from Deque. Returns <code>-1</code> if the deque is empty.</li>
	<li><code>boolean isEmpty()</code> Returns <code>true</code> if the deque is empty, or <code>false</code> otherwise.</li>
	<li><code>boolean isFull()</code> Returns <code>true</code> if the deque is full, or <code>false</code> otherwise.</li>
</ul>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input</strong>
[&quot;MyCircularDeque&quot;, &quot;insertLast&quot;, &quot;insertLast&quot;, &quot;insertFront&quot;, &quot;insertFront&quot;, &quot;getRear&quot;, &quot;isFull&quot;, &quot;deleteLast&quot;, &quot;insertFront&quot;, &quot;getFront&quot;]
[[3], [1], [2], [3], [4], [], [], [], [4], []]
<strong>Output</strong>
[null, true, true, true, false, 2, true, true, true, 4]

<strong>Explanation</strong>
MyCircularDeque myCircularDeque = new MyCircularDeque(3);
myCircularDeque.insertLast(1);  // return True
myCircularDeque.insertLast(2);  // return True
myCircularDeque.insertFront(3); // return True
myCircularDeque.insertFront(4); // return False, the queue is full.
myCircularDeque.getRear();      // return 2
myCircularDeque.isFull();       // return True
myCircularDeque.deleteLast();   // return True
myCircularDeque.insertFront(4); // return True
myCircularDeque.getFront();     // return 4
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= k &lt;= 1000</code></li>
	<li><code>0 &lt;= value &lt;= 1000</code></li>
	<li>At most <code>2000</code> calls will be made to <code>insertFront</code>, <code>insertLast</code>, <code>deleteFront</code>, <code>deleteLast</code>, <code>getFront</code>, <code>getRear</code>, <code>isEmpty</code>, <code>isFull</code>.</li>
</ul>
Design; Queue; Array; Linked List
class MyCircularDeque:
    def __init__(self, k: int):
        """
        Initialize your data structure here. Set the size of the deque to be k.
        """
        self.q = [0] * k
        self.front = 0
        self.size = 0
        self.capacity = k

    def insertFront(self, value: int) -> bool:
        """
        Adds an item at the front of Deque. Return true if the operation is successful.
        """
        if self.isFull():
            return False
        if not self.isEmpty():
            self.front = (self.front - 1 + self.capacity) % self.capacity
        self.q[self.front] = value
        self.size += 1
        return True

    def insertLast(self, value: int) -> bool:
        """
        Adds an item at the rear of Deque. Return true if the operation is successful.
        """
        if self.isFull():
            return False
        idx = (self.front + self.size) % self.capacity
        self.q[idx] = value
        self.size += 1
        return True

    def deleteFront(self) -> bool:
        """
        Deletes an item from the front of Deque. Return true if the operation is successful.
        """
        if self.isEmpty():
            return False
        self.front = (self.front + 1) % self.capacity
        self.size -= 1
        return True

    def deleteLast(self) -> bool:
        """
        Deletes an item from the rear of Deque. Return true if the operation is successful.
        """
        if self.isEmpty():
            return False
        self.size -= 1
        return True

    def getFront(self) -> int:
        """
        Get the front item from the deque.
        """
        if self.isEmpty():
            return -1
        return self.q[self.front]

    def getRear(self) -> int:
        """
        Get the last item from the deque.
        """
        if self.isEmpty():
            return -1
        idx = (self.front + self.size - 1) % self.capacity
        return self.q[idx]

    def isEmpty(self) -> bool:
        """
        Checks whether the circular deque is empty or not.
        """
        return self.size == 0

    def isFull(self) -> bool:
        """
        Checks whether the circular deque is full or not.
        """
        return self.size == self.capacity


# Your MyCircularDeque object will be instantiated and called as such:
# obj = MyCircularDeque(k)
# param_1 = obj.insertFront(value)
# param_2 = obj.insertLast(value)
# param_3 = obj.deleteFront()
# param_4 = obj.deleteLast()
# param_5 = obj.getFront()
# param_6 = obj.getRear()
# param_7 = obj.isEmpty()
# param_8 = obj.isFull()
