static long power ( long x , int n ) {
  long mod = 1000000007 ;
  if ( n == 0 ) return 1 ;
  if ( n % 2 == 0 ) {
    long e = power ( x , n / 2 ) % mod ;
    return ( e * e ) % mod ;
  }
  return ( x * power ( x , n - 1 ) ) % mod ;
}

static long power ( long x , int n ) { long mod = 1000000007 ; if ( n == 0 ) return 1 ; if ( n % 2 == 0 ) { long e = power ( x , n / 2 ) % mod ; return ( e * e ) % mod ; } return ( x * power ( x , n - 1 ) ) % mod ; }
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