There is data on sales of your company. Your task is to write a program which identifies good workers.

The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p × q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000.



Input

The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of:


n (the number of data in the list)
i p q
i p q
:
:
i p q


Output

For each dataset, print a list of employee IDs or a text "NA"

Example

Input

4
1001 2000 520
1002 1800 450
1003 1600 625
1001 200 1220
2
1001 100 3
1005 1000 100
2
2013 5000 100
2013 5000 100
0


Output

1001
1003
NA
2013
import java.util.*;class Main{public static void main(String[]z){Scanner s=new Scanner(System.in);String x;for(long t,v;(t=s.nextInt())>0;System.out.print(x.isEmpty()?"NA\n":x)){List<String>l=new ArrayList<String>();Map<String,Long> m=new HashMap<String,Long>();for(;t-->0;){if(!l.contains(x=s.next())){l.add(x);v=0;}else v=m.get(x);m.put(x,s.nextLong()*s.nextLong()+v);}x="";for(String y:l)if(m.get(y)>999999)x+=y+"\n";}}}