Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
Register

Language:
Power Strings
 Time Limit: 3000MS Memory Limit: 65536K Total Submissions: 48368 Accepted: 20132

Description

Given two strings a and b we define a*b to be their concatenation. For example, if a = "abc" and b = "def" then a*b = "abcdef". If we think of concatenation as multiplication, exponentiation by a non-negative integer is defined in the normal way: a^0 = "" (the empty string) and a^(n+1) = a*(a^n).

Input

Each test case is a line of input representing s, a string of printable characters. The length of s will be at least 1 and will not exceed 1 million characters. A line containing a period follows the last test case.

Output

For each s you should print the largest n such that s = a^n for some string a.

Sample Input

```abcd
aaaa
ababab
.
```

Sample Output

```1
4
3
```

Hint

This problem has huge input, use scanf instead of cin to avoid time limit exceed.

Source

[Submit]   [Go Back]   [Status]   [Discuss]