# Maximum Frequency Stack

Updated: Mar 24, 2021

Implement FreqStack, a class which simulates the operation of a stack-like data structure.

FreqStack has two functions:

push(int x), which pushes an integer x onto the stack.

pop(), which

**removes**and returns the most frequent element in the stack.If there is a tie for most frequent element, the element closest to the top of the stack is removed and returned.

**Example 1:**

**Input****:**** **["FreqStack","push","push","push","push","push","push","pop","pop","pop","pop"],
[[],[5],[7],[5],[7],[4],[5],[],[],[],[]]**Output****:**** **[null,null,null,null,null,null,null,5,7,5,4]**Explanation**:
After making six .push operations, the stack is [5,7,5,7,4,5] from bottom to top. Then:
pop() -> returns 5, as 5 is the most frequent.
The stack becomes [5,7,5,7,4].
pop() -> returns 7, as 5 and 7 is the most frequent, but 7 is closest to the top.
The stack becomes [5,7,5,4].
pop() -> returns 5.
The stack becomes [5,7,4].
pop() -> returns 4.
The stack becomes [5,7].

**Note:**

Calls to FreqStack.push(int x) will be such that 0 <= x <= 10^9.

It is guaranteed that FreqStack.pop() won't be called if the stack has zero elements.

The total number of FreqStack.push calls will not exceed 10000 in a single test case.

The total number of FreqStack.pop calls will not exceed 10000 in a single test case.

The total number of FreqStack.push and FreqStack.pop calls will not exceed 150000 across all test cases.

**Solution:**

```
class FreqStack {
PriorityQueue<int[]> queue;
Map<Integer,Integer> map;
int i=0;
public FreqStack() {
map=new HashMap<>();
queue = new PriorityQueue<>((a,b)->a[1]==b[1]?b[2]-a[2]:b[1]-a[1]);
}
public void push(int x) {
map.put(x,map.getOrDefault(x,0)+1);
int[] a = {x,map.get(x),i++};
queue.add(a);
}
public int pop() {
int[] a=queue.poll();
map.put(a[0],map.getOrDefault(a[0],0)-1);
return a==null?-1:a[0];
}
}
```