Subsequences Summing to Sevens

Farmer John's n cows are standing in a row, as they have a tendency to do from time to time. Each cow is labeled with a distinct integer ID number so FJ can tell them apart. FJ would like to take a photo of a contiguous group of cows but, due to a traumatic childhood incident involving the numbers 1 ... 6, he only wants to take a picture of a group of cows if their IDs add up to a multiple of 7.Help FJ determine the size of the largest group he can photograph.

Input

The first line contains n (1 ≤ n ≤ 50000). The next n lines each contain the n integer IDs of the cows (all are in the range 0 ... 10^6).

Output

Print the number of cows in the largest consecutive group whose IDs sum to a multiple of 7. If no such group exists, output 0.

Examples

Note

In this example 5 + 1 + 6 + 2 + 14 = 28.