Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Opponents

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputArya has *n* opponents in the school. Each day he will fight with all opponents who are present this day. His opponents have some fighting plan that guarantees they will win, but implementing this plan requires presence of them all. That means if one day at least one of Arya's opponents is absent at the school, then Arya will beat all present opponents. Otherwise, if all opponents are present, then they will beat Arya.

For each opponent Arya knows his schedule — whether or not he is going to present on each particular day. Tell him the maximum number of consecutive days that he will beat all present opponents.

Note, that if some day there are no opponents present, Arya still considers he beats all the present opponents.

Input

The first line of the input contains two integers *n* and *d* (1 ≤ *n*, *d* ≤ 100) — the number of opponents and the number of days, respectively.

The *i*-th of the following *d* lines contains a string of length *n* consisting of characters '0' and '1'. The *j*-th character of this string is '0' if the *j*-th opponent is going to be absent on the *i*-th day.

Output

Print the only integer — the maximum number of consecutive days that Arya will beat all present opponents.

Examples

Input

2 2

10

00

Output

2

Input

4 1

0100

Output

1

Input

4 5

1101

1111

0110

1011

1111

Output

2

Note

In the first and the second samples, Arya will beat all present opponents each of the *d* days.

In the third sample, Arya will beat his opponents on days 1, 3 and 4 and his opponents will beat him on days 2 and 5. Thus, the maximum number of consecutive winning days is 2, which happens on days 3 and 4.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jun/23/2017 22:02:19 (c4).

Desktop version, switch to mobile version.

User lists

Name |
---|