#### Registered Users Only

Please login to utilize this feature.

Do note that this website only supports submissions in C++.

## Problem Description

Remember the priority_queue data structure that pops out the greatest element every time? Now, you have to implement a data structure that is similar to priority_queue, but does not pop out the greatest element, but pops out the element according to the following rules:

- If the size of the queue is odd, pop out the middle element. (i.e. the median)
- Otherwise, pop out the element to the left of the middle.

## Input

The first line of input will contain N, the number of instructions.

The following N lines of input will contain either a PUSH *x*, where you will be required to push an integer *x* into the queue, or a POP instruction, where you will be required to pop an integer out of the queue according to the instructions above.

## Output

Your output should contain a list of space-seperated integers, which represents the resultant queue in ascending order.

Your output should be terminated with a newline.

## Limits

Subtask 1 (36%): 1 ≤ N ≤ 1 000

Subtask 2 (64%): 1 ≤ N ≤ 1 000 000

Subtask 3 (0%): As per sample testcases

## Sample Input 1

5 PUSH 5 PUSH 2 POP PUSH 3 PUSH 9

## Sample Output 1

3 5 9

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 36 | 20 | 1s | 32MB | Minimum |

2 | 64 | 21 | 2s | 32MB | Minimum |

3 | 0 | 1 | 1s | 32MB | Minimum |

### Judge Compile Command

g++ ans.cpp -o medianheap -Wall -static -O2 -lm -m64 -s -w -std=gnu++14 -fmax-errors=512