private static long pow ( int a , long n ) {
  long loop = n ;
  long ret = 1 ;
  long x = a ;
  while ( loop > 0 ) {
    if ( loop % 2 == 1 ) {
      ret = ret * x % MOD ;
    }
    x = x * x % MOD ;
    loop /= 2 ;
  }
  return ret ;
}

private static long pow ( int a , long n ) { long loop = n ; long ret = 1 ; long x = a ; while ( loop > 0 ) { if ( loop % 2 == 1 ) { ret = ret * x % MOD ; } x = x * x % MOD ; loop /= 2 ; } return ret ; }
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