Conformity

Frosh commencing their studies at Waterloo have diverse interests, as evidenced by their desire to take various combinations of courses from among those available.

University administrators are uncomfortable with this
situation, and therefore wish to offer a *conformity
prize* to frosh who choose one of the most popular
combinations of courses. How many frosh will win the prize?

The input begins with an integer $1 \leq n \leq 10\, 000$, the number of frosh. For each frosh, a line follows containing the course numbers of five distinct courses selected by the frosh. Each course number is an integer between $100$ and $499$.

The *popularity* of a combination is the number of
frosh selecting exactly the same combination of courses. A
combination of courses is considered *most popular* if
no other combination has higher popularity. Output a single
line giving the total number of students taking some
combination of courses that is most popular.

Sample Input 1 | Sample Output 1 |
---|---|

3 100 101 102 103 488 100 200 300 101 102 103 102 101 488 100 |
2 |

Sample Input 2 | Sample Output 2 |
---|---|

3 200 202 204 206 208 123 234 345 456 321 100 200 300 400 444 |
3 |