Sale Result

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

inputFormat

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

outputFormat

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

样例

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

1001
1003
NA
2013

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