CF847G University Classes

Description

There are $ n $ student groups at the university. During the study day, each group can take no more than $ 7 $ classes. Seven time slots numbered from $ 1 $ to $ 7 $ are allocated for the classes. The schedule on Monday is known for each group, i. e. time slots when group will have classes are known. Your task is to determine the minimum number of rooms needed to hold classes for all groups on Monday. Note that one room can hold at most one group class in a single time slot.

Input Format

The first line contains a single integer $ n $ ( $ 1

Output Format

Print minimum number of rooms needed to hold all groups classes on Monday.

Explanation/Hint

In the first example one room is enough. It will be occupied in each of the seven time slot by the first group or by the second group. In the second example three rooms is enough, because in the seventh time slot all three groups have classes.