#include <cmath>
#include <cstdio>
#include <iostream>
using namespace std;

#define _CRT_SECURE_NO_WARNINGS
#define For(i,a,b) for (long i(a),_b(b); i <= _b; ++i)

char buf[1024*1024];

bool isEven(long a,long b)
{       bool result=0;
       if(b%2==0)
               result=0;
       else
               {
                double ad=0.00;
                for(int j=0;j<=30;j++)
               {
               if(int(ad)==a)
               { break;}
               ad=ad+1.00;
               }
                       long PD=long(pow(2.00,ad));
                       if(b<PD)
                       result=0;

                       else
                       {
                       for(long i=PD;i<=100000000;i+=PD)
                        {
                        if(b==i-1)
                          {
                          result=1;
                          break;
                          }
                        }
                       }
                       }
       return result;
}

int main() {
       freopen("A-large.in", "rt", stdin);
       freopen("output_Snapper_Chain.txt", "wt", stdout);

   gets(buf);
   long size=atoi(buf);


       For(test, 1, size)
 {
 //    cout<<"No. of loops"<<test;
       long N;
       long K;

       scanf("%d%d", &N, &K);
//              cout<<"N"<<N<<"K"<<K;

       bool res=isEven(N,K);
           if(res)
               printf("Case #%d: ON\n", test);
               else
               printf("Case #%d: OFF\n", test);
   }
       exit(0);
}


---------------------------------------------------------------------------------------------------------------------------
SNAPPER CHAIN:
Can anybody tell me the errors in the code.....i have done this
problem using the simple concept which i know....it is not giving
right output....

Brief explanation of code:
i have first converted the long taken from file into the double using
for loop..then using pow function i have found 2^N and then found
whether k==2^N-1;


_____
Aamir

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