Description

To thwart content-based spam filters, spammers often modify the text of a spam email to prevent its recognition by automatic filtering programs. For any plain text string s (containing only upper-case letters), let Φ(s) denote the string obtained by substituting each letter with its “spam alphabet” equivalent:

In this scheme, any plain text message s corresponds to exactly one spam-encoded message Φ(s). The reverse, however, is not necessarily true: a spam-encoded message may correspond to more than one plain text message.

Given a plain text message s, your goal is to determine the number of unique plain text messages whose spam encoding is Φ(s).

Input

The input test file will contain multiple test cases. Each test case consists of a single line containing a plain text string s containing from 1 to 100 upper-case letters. The end-of-file is denoted by a single line containing the word “end”.

Output

For each test case, print the number of unique plain text messages (including the original message) whose spam encoding is Φ(s). The number of unique plain text messages is guaranteed to be no greater than 1,000,000,000.

BU
UJ
THEQUICKBROWNFOXJUMPEDOVERTHELAZYDOGS
end

6
5
144

Hint

In the first test case, the spam encoding of ‘BU’ is ‘|3|_|’. The 6 plain text messages with this spam encoding are ‘BU’, ‘IEU’, ‘BIJ’, ‘IEIJ’, ‘BLI’, and ‘IELI’. In the second test case, the spam encoding of ‘UJ’ is ‘|_|_|’. The 5 plain text messages with this spam encoding are ‘UJ’, ‘LU’, ‘IJJ’, ‘LLI’, and ‘LIJ’.

Source

Stanford Local 2006