RMID2  Running Median Again
Danish has just solved the problem Running Median.
The first line of the problem says "You will be given some integers in nondecreasing order". The problem asks you to report and remove the median of the list every time it is queried.
Having solved this problem, Danish now begins to wonder how to solve the problem if the input is in any order (not necessarily nondecreasing order as mentioned above).
Can you help him?
Your task is to take as input a list of positive integers. Whenever 1 is given as input, you must output the median of the list, and remove it from the list. Take the smaller element as the median in case of even number of elements.
Input
The input contains several test caes.
The first line contains an integer t, the number of test cases.
Each test case has several lines, each containing an integer n (<=10^9) . If n is positive, add it to the list. n=1 indicates a median query (there will be no median query if the list is empty). The test case is terminated by n=0.
In each test case, there will be upto 10^5 integers to be added to the list, and upto 10^5 median queries.
Output
For each median query as described above, print the median on a new line.
Example
Input: 1 9 10 2 5 1 18 1 1 4 3 1 8 7 1 0 Output: 5 9 3 7
hide comments
Christoph Dürr:
20201120 18:41:51
Limit is to strict for Python. 

bucky_25:
20200605 20:56:26
using policy based data str in c++ makes easy AC 

black_shroud:
20200603 16:09:34
used BIT here , but how to do it using heaps?? 

sarthak_19:
20200603 09:46:42
Nice Problem use both max and min heap 

khacchung98:
20200510 11:49:31
nlog(n) giving TLE @@, so difficult Last edit: 20200510 11:59:20 

vidhan_1234:
20200424 15:46:41
TLE in java. 

ashishgh1997:
20200318 16:06:15
Variational question to traditional "Median In A Stream". Nice Question 

kumarpritam863:
20200302 17:00:39
use multisets


vineetjai:
20191203 12:57:01
Very Strict Time Limit. Got AC after many TLE. Use scan/printf if fast_io in c++ not works. 

roopammishra:
20191031 23:45:27
Finally AC after 3 WA and 1 TLE :( , Good question learned a new concept :) 
Added by:  Akhilesh Anandh 
Date:  20131005 
Time limit:  0.100s1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  variation on RMID 