Rotate the String

Problem code: ROTSTRNG

All submissions for this problem are available.

Did you know that a cluster of bananas can also be called a 'hand' of bananas ? No points for guessing what the individual bananas are called. ya.. 'fingers' :). The monkey from the valley of food is all set to fight for the title 'Dragon Chef' after having a hand of bananas for breakfast. As you know that the judge, master Oogway is always late for the show, the monkey and Po decided to play a game. They took a string of characters and started rotating it.

A k-rotation on a string takes the trailing k characters of the string and attaches it to the beginning of the string in the same order. For eg. 3-rotation on the string "noodles" results in the string "lesnood". On the given string S, the monkey performs a M-rotation and gives it to Po. Po performs a P-rotation on it and gives back to the monkey. The monkey again performs a M-rotation on it and so on... Though Shifu is getting angry watching the monkey play with Po, he is wondering after how many minimum (non-zero) number of rotations we can get back to the original string S. This can happen after a rotation performed by the monkey or Po. Please find it for him.

Input

First line contains T ( number of test cases, around 10 ). T cases follow. Each case consists of two lines. First line has the string S of length n ( 1 <= n <= 500,000 ), having ('a'-'z' , 'A'-'Z'). Second line contains two integers M P separated by a space ( 1 <= M, P <= n ). Comparisons are case sensitive i.e., 'a' is not equal to 'A'.

Output

For each test case, output the answer in a new line. If its impossible to get back to the original string by performing the rotations as mentioned above, print -1

Example

Input:
2
AbcDef
1 2
abcabc
1 1

Output:
4
3


Explanation
Case 1 :
Monkey : fAbcDe , Po : DefAbc, Monkey : cDefAb , Po : AbcDef

Case 2 :
Monkey : cabcab , Po : bcabca, Monkey : abcabc

Warning : Large input / output. You may have to use efficient input / output methods if you are using languages with heavy input / output overload. Eg: Prefer using scanf/printf to cin/cout for C/C++

Author: flying_ant
Date Added: 6-08-2011
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


Comments

my code is working on my PC

jastiger @ 27 Aug 2011 11:56 AM
my code is working on my PC and also giving correct results .. which cases according to you, my code is not giving right results ??

can u please please check my

r1rajiv92 @ 12 Oct 2011 08:53 PM
can u please please check my code n tell me what wrong with it. in my pc i get the right answer but here its giving me wrong answer. #include #include int main() { int n,k,i,y,q,chk=0; scanf("%d",&n); char ch[500000]=" ",ch1[500000]=" ",ch2[500000]=" "; while(n--) { int m,p,count=0; scanf("%s",&ch); strcpy(ch1,ch); scanf("%d%d",&m,&p); k=1; q=m; while(k!=0) { y=0; for(i=strlen(ch1)-q;ch1[i]!='';i++) { ch2[y]=ch1[i]; y++; } ch1[strlen(ch1)-q]=''; ch2[y]=''; for (i=strlen(ch1)-1;i>=0;i--) ch1[i+y]=ch1[i]; ch1[strlen(ch1)+y]=''; for(i=0;i10000) { count=-1; break; } } printf("%d",count); } return 0; }

can you please see my

digs2digi @ 16 Oct 2011 10:44 PM
can you please see my solution,why am I getting the wrong answer..In my pc it is working fine

in my submissions,why it is

digs2digi @ 16 Oct 2011 11:07 PM
in my submissions,why it is showing time=0.0 and still showing wrong answer?what does time=0 mean?Did my code even ran?

Hi.. Can some one suggest me

shwetanka_19 @ 6 Nov 2011 11:04 PM
Hi.. Can some one suggest me when could be the case of '-1' as the answer?

I can't think of a case where

mrh4102 @ 13 Nov 2011 08:06 AM
I can't think of a case where '-1' will be the output.

does time limit exceeded

sumit4iit @ 31 Dec 2011 04:54 PM
does time limit exceeded means that my ans was correct??

acdaa 1 2 Should give

ankitdbst @ 6 Jan 2012 03:03 PM
acdaa 1 2 Should give -1. @admin I have tested quite a few test cases. Can you tell me which test cases is my solution id 781831 is failing?

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