Problem Statement

There is a slot machine with N reels.
The placement of symbols on the i-th reel is represented by a string S_i of length 10 containing each of $0, 1, \ldots, 9$ exactly once.
Each reel has a corresponding button. For each non-negative integer t, Takahashi can press one of the buttons of his choice (or do nothing) t seconds after the reels start spinning.
If the button for the i-th reel is pressed t seconds after the start of the spin, the i-th reel will stop to display the $((t\bmod{10})+1)-th$ character of S_i.
Here, $t\bmod{10}$ denotes the remainder when t is divided by 10.
Takahashi wants to stop all reels to make them display the same character.
Find the minimum number of seconds needed to achieve his objective after the start of the spin.

Input

Input is given from Standard Input in the following format:
N
S_1
S_2
$\vdots$
S_N

Output

Print the minimum number of seconds needed to achieve Takahashi's objective after the start of the spin.

Constraints

• $2\leq N\leq 100$
• N is an integer.
• S_i is a string of length 10 containing each of $0, 1, \ldots, 9$ exactly once.

Sample Input 1

3
1937458062
8124690357
2385760149

Sample Output 1

6

Takahashi can make all reels display 8 in 6 seconds after the start of the spin by stopping them as follows.

• 0 seconds after the start of the spin, press the button for the 2-nd reel, making it stop to display the $((0\bmod{10})+1=1)-st$ character of S_2, 8.
• 2 seconds after the start of the spin, press the button for the 3-rd reel, making it stop to display the $((2\bmod{10})+1=3)-rd$ character of S_3, 8.
• 6 seconds after the start of the spin, press the button for the 1-st reel, making it stop to display the $((6\bmod{10})+1=7)-th$ character of S_1, 8.

There is no way to make all reels display the same character in five seconds or less, so the answer is 6.

Sample Input 2

5
0123456789
0123456789
0123456789
0123456789
0123456789

Sample Output 2

40

Note that he must stop all reels to make them display the same character.

见题面 Input 部分

见题面 Output 部分