mplement the following operations of a stack using queues.
- push(x) -- Push element x onto stack.
- pop() -- Removes the element on top of the stack.
- top() -- Get the top element.
- empty() -- Return whether the stack is empty.
- You must use only standard operations of a queue -- which means only
push to back,peek/pop from front,size, andis emptyoperations are valid. - Depending on your language, queue may not be supported natively. You may simulate a queue by using a list or deque (double-ended queue), as long as you use only standard operations of a queue.
- You may assume that all operations are valid (for example, no pop or top operations will be called on an empty stack).
Update (2015-06-11):
The class name of the Java function had been updated to MyStack instead of Stack.
Understand the problem:The class name of the Java function had been updated to MyStack instead of Stack.
We can use two queues, queue1 and queue2.
-- push(x), push x into queue1. Time complexity O(1)
-- pop(), dequeue all n - 1 elements and enqueue into queue2. dequeue the last element.
Swap queue1 and queue2. Time complexity O(n).
-- top() dequeue all n - 1 elements and enqueue into queue2, dequeue the last element and save the as return, then enqueue it into queue2. Swap queue1 and queue2. Time complexity is O(n).
-- empty(), check if queue1 is empty.
Code (Java):
class MyStack {
private Queue<Integer> queue1;
private Queue<Integer> queue2;
public MyStack() {
this.queue1 = new LinkedList<Integer>();
this.queue2 = new LinkedList<Integer>();
}
// Push element x onto stack.
public void push(int x) {
queue1.offer(x);
}
// Removes the element on top of the stack.
public void pop() {
while (queue1.size() > 1) {
queue2.offer(queue1.poll());
}
queue1.poll();
// Swap queue1 and queue2
Queue<Integer> temp = queue1;
queue1 = queue2;
queue2 = temp;
}
// Get the top element.
public int top() {
while (queue1.size() > 1) {
queue2.offer(queue1.poll());
}
int ret = queue1.poll();
queue2.offer(ret);
// Swap queue 1 and queue2
Queue<Integer> temp = queue1;
queue1 = queue2;
queue2 = temp;
return ret;
}
// Return whether the stack is empty.
public boolean empty() {
return queue1.isEmpty();
}
}
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