static long modInverse ( long a , long m ) {
  long m0 = m , t , q ;
  long x0 = 0 , x1 = 1 ;
  if ( m == 1 ) return 0 ;
  while ( a > 1 ) {
    q = a / m ;
    t = m ;
    m = a % m ;
    a = t ;
    t = x0 ;
    x0 = x1 - q * x0 ;
    x1 = t ;
  }
  if ( x1 < 0 ) x1 += m0 ;
  return x1 ;
}

static long modInverse ( long a , long m ) { long m0 = m , t , q ; long x0 = 0 , x1 = 1 ; if ( m == 1 ) return 0 ; while ( a > 1 ) { q = a / m ; t = m ; m = a % m ; a = t ; t = x0 ; x0 = x1 - q * x0 ; x1 = t ; } if ( x1 < 0 ) x1 += m0 ; return x1 ; }
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