BAISED  Biased Standings
Usually, results of competitions are based on the scores of participants. However, we are planning a change for the next year of IPSC. During the registration each team will be able to enter a single positive integer : their preferred place in the ranklist. We would take all these preferences into account, and at the end of the competition we will simply announce a ranklist that would please all of you.
But wait... How would that ranklist look like if it won't be possible to satisfy all the requests?
Suppose that we already have a ranklist. For each team, compute the distance between their preferred place and their place in the ranklist. The sum of these distances will be called the badness of this ranklist.
Problem specification
Given team names and their preferred placements find one ranklist with the minimal possible badness.
Input specification
The first line of the input file contains an integer T specifying the number of test cases. Each test case is preceded by a blank line.
Each test case looks as follows: The first line contains N : the number of teams participating in the competition. Each of the next N lines contains a team name (a string of letters and numbers) and its preferred place (an integer between 1 and N, inclusive). No two team names will be equal.
Output specification
For each of the test cases output a single line with a single integer : the badness of the best ranklist for the given teams.
Example
Input: 2 7 noobz 1 llamas 2 Winn3rz 2 5thwheel 1 NotoricCoders 5 StrangeCase 7 WhoKnows 7 3 ThreeHeadedMonkey 1 MoscowSUx13 1 NeedForSuccess 1 Output: 5 3Explanation:
In the first test case, one possible ranklist with the minimal badness is:
1. noobz 2. llamas 3. Winn3rz 4. 5thwheel 5. NotoricCoders 6. WhoKnows 7. StrangeCase
In the second test case all ranklists are equally good.
Note: the input file will not exceed 5MB.hide comments
vengatesh15:
20170602 06:55:07
Easy one.. 

Vale:
20170324 13:31:42
AC in two go because forgot to delete the dummy line that I use for debug 

deep_1:
20170318 13:18:07
AC in one go!!! 

Vipul Srivastava:
20170312 20:57:58
long long is required.. Constraints should be given 

k_nushka:
20170213 15:54:45
Long long _


papan_97:
20160518 17:35:28
easy one ..AC in one go :)


Babu:
20150823 21:50:57
what the hell dude! we have to assume all the constraints!! Guys,use long long int in the array and take a string of length 10000 .It worked 

SangKuan:
20150813 06:51:07
haha,after 4 wa(forgot memset),my O(n) code got ac. 

SangKuan:
20150813 04:53:06
easy,but use O(nlogn). 

detel:
20150716 09:33:46
There is very small change in time by switching from O(nlnn) to O(n) in Python.... 
Added by:  Fudan University Problem Setters 
Date:  20071201 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: C99 ERL JSRHINO 
Resource:  IPSC 2006 