NICEDAY  The day of the competitors
The International Olympiad in Informatics is coming and the leaders of the Vietnamese Team have to choose the best contestants all over the country. Fortunately, the leaders could choose the members of the team among N very good contestants, numbered from 1 to N (3 ≤ N ≤ 100000). In order to select the best contestants the leaders organized three competitions. Each of the N contestants took part in all three competitions and there were no two contestants with equal results on any of the competitions. We say that contestant А is better than another contestant В when А is ranked before В in all of the competitions. A contestant A is said to be excellent if no other contestant is better than A. The leaders of the Vietnamese Team would like to know the number of excellent contestants.
Input
First line of the input contains an integer t (1 ≤ t ≤ 10), equal to the number of test cases. Then descriptions of t test cases follow. First line of description contains the number of competitors N . Each of the next N lines describes one competitor and contains integer numbers ai, bi, ci (1 ≤ ai, bi, ci ≤ N ) separated by spaces, the order of ith competitor's ranking in the first competition , the second competition and the third competition.
Output
For each test case in the input your program should output the number of excellent contestants in one line.
Note: Because the input is too large so we have 4 input files and the total time limit is 4s (not 1s).
Example
Input: 1 3 1 2 3 2 3 1 3 1 2 Output: 3
hide comments
Medo:
20170418 09:49:48
**SPOILERS**


shubham:
20170327 13:26:25
This problem will reduced to counting inversion problem after sorting 

saiful130104:
20170123 17:33:42
if inputs are like this....


Mohammad Asif:
20160820 17:40:04
The problem statement is horrible and very confusing. I think the problem setter meant sth else..


Nguyen Cuong:
20160405 07:12:55
NKTEAM got 100, TLE here :v


minhthai:
20160216 14:44:43
any tips for BIT in java to pass ? 

vijay77794:
20160104 20:12:42
done with help :(.............. but learnt a lot.....:) 

(Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†):
20150819 15:01:58
Awesome problem (^_^) think asymmetrically to solve this :) 

sai krishna:
20150327 04:02:27
cant understand the qusetion itself


californiagurl:
20150131 12:44:34
any tricky testcase? 
Added by:  Nguyen Minh Hieu 
Date:  20060120 
Time limit:  0.109s 
Source limit:  10000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  Base on a problem from BOI 