GUESSTHE  Guess the Number
You are playing the funny game “Guess the number” with a friend. In this game, one of the
players choose a positive integer and the other has to guess it by using the clues that are
revealed. The ith clue is either “Y” or “N” indicating whether the hidden number is a multiple
of i or not, respectively. For instance, if the clues so far are “YYNYY” it means that the number
is a multiple of 1, 2, 4 and 5, but it is not a multiple of 3. Given the clues of the game so
far, you have to guess the minimum possible number according to them, or call your friend a
cheater if there is no number such that the clues were correctly given.
Input
The input contains several test cases. Each test case is described in a single line that contains
a nonempty string of at most 20 characters. The string is formed entirely of uppercase letters
“Y” and “N”, and represents the clues given so far, in order from left to right. The last line of
the input contains a single asterisk and should not be processed as a test case.
Output
For each test case output a single line with the minimum positive integer that satisfies all the
clues, or −1 if there is no such a number.
Example
Input:
YYNYY
YYYNNN
*
Output: 20
1
hide comments
madhavgaba:
20160709 09:53:59
AC in one go in 0.00 . Think of sieve to calculate lcm;) 

fly_sky12:
20160704 09:38:04
some silly mistakes caused me 2 WA


vikke:
20160401 07:04:21
nice problem finally gcd function give ac 

pvsmpraveen:
20160130 07:39:37
AC 0.00 Easy one! ;) Last edit: 20160130 07:40:06 

newbie:
20151113 23:30:02
ac in 0.01 with long long


Shashank Tiwari:
20151031 11:33:03
So, here's the tip :


RADHE SHYAM LODHI:
20150901 13:35:01
use ULL 

dwij28:
20150828 18:35:46
Take care of the case when the string consists of only 'Y' repeatedly or only 'N' repeatedly. Cost me 2 NZEC and 15 mins. 

Dushyant Singh:
20150718 12:38:58
@headfirstcoder: There are at max 20 characters only. Problem may arise if you are not considering \0 in character array.


[Mayank Pratap]:
20150618 05:44:45
Completed Double century by some guess work ... :P 
Added by:  Pablo Ariel Heiber 
Date:  20100819 
Time limit:  2.950s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS objc PERL 6 VB.net 
Resource:  FCEyN UBA ICPC Selection 2008 