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TWOFIVE - IOI01 Twofive |
The secret messages between Santa Claus and his little helpers are usually encoded in the 25-language. The 25-alphabet is the same as the Latin alphabet with one exception - the letter 'Z' is absent, i.e. the 25-alphabet contains 25 Latin letters from 'A' through 'Y' in the same order as the Latin alphabet. Each word in the 25-language consists of exactly 25 different letters. A word can be written in a 5ยด5 table filling the rows first; for example, the word ADJPTBEKQUCGLRVFINSWHMOXY will be written as follows:
A D J P T B E K Q U C G L R V F I N S W H M O X Y
A valid word in the 25-language has its letters in each row as well as in each column written in ascending order. Thus, the word ADJPTBEKQUCGLRVFINSWHMOXY is a valid word, in contrast to the word ADJPTBEGQUCKLRVFINSWHMOXY (the ascending order is violated in the second column, and in the third column, too).
Santa Claus has a lexicon. His lexicon is the list of all valid 25-language words in ascending order (lexicographically) along with their ordinal numbers starting from 1. For example, in the lexicon ABCDEFGHIJKLMNOPQRSTUVWXY is the word number 1 and ABCDEFGHIJKLMNOPQRSUTVWXY is the word number 2. In word number 2, U and T are interchanged from their order in word number 1.
Unfortunately, this lexicon is huge. Write a program that determines the ordinal number of an arbitrary given word, and also the word corresponding to a given ordinal number. There are no more than 231 words in the lexicon.
Input
The input consists of two lines. The first line contains a string with one character: a 'W' or an 'N'. If the first line contains a 'W', then the second line contains a valid 25- language word, that is, a string with 25 characters. If the first line contains an 'N', then the second line contains the ordinal number of an existing 25-language word.
Output
The output consists of one line. If the second line of the input file contains a 25-language word, then the line of the output file contains the ordinal number of that word. If the second line of the input file contains a number, then the line of the output file contains the 25- language word with that ordinal number.
Example
Input W ABCDEFGHIJKLMNOPQRSUTVWXY Output 2 Input N 2 Output ABCDEFGHIJKLMNOPQRSUTVWXY
Added by: | Jimmy |
Date: | 2008-12-18 |
Time limit: | 0.100s-0.200s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 SCM qobi VB.NET |
Resource: | IOI 2001 - Finland |