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 testcases. Then descriptions of t testcases 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
Anowar Hossain Anu:
20140924 10:28:47
BIT 

Luis Manuel Dï¿½az Barï¿½n:
20140516 21:25:54
the problem statement is awful it should be corrected, I needed to read comments to realize what it really means. 

aristofanis:
20131209 20:37:35
Getting 100 in NKTEAM and WA here, whats wrong?


Fahmi:
20120625 00:44:41
Last edit: 20121119 04:09:25 

Anand:
20120527 05:11:39
if you think of the last condition, solution is on its way. 

つ ◕_◕ ༽つ GIFF AC:
20111030 08:07:49
@Akashs


Md. M. I. Akashs:
20111002 14:28:45
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."


Carlos Joa:
20110710 21:45:01
@problem setter: I'd like to add a test case to this proble. How can I contact you? 

Vladimir Kirichenkoff:
20110703 02:20:09
Read the definitions carefully: a contestant A is excellent if no other contestant is better than A. Look at first contestant. The second contestant isn't better than the first and the third contestant isn't better than the first so the first contestant is excellent. And for other contestant written above is corrent so the answer for the testcase is 3, not 0 Last edit: 20110703 02:20:46 

Santiago Palacio:
20110612 18:08:10
There was no better candidate, all of them are at the same rank. (1 is not better than 1) 
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 