static long pow ( long base , long p ) {
  if ( p == 0 ) return 1 ;
  if ( p == 1 ) return base ;
  long ret = pow ( base , p / 2 ) ;
  ret = ret * ret % MOD ;
  if ( p % 2 == 1 ) {
    ret = ret * base % MOD ;
  }
  return ret ;
}

static long pow ( long base , long p ) { if ( p == 0 ) return 1 ; if ( p == 1 ) return base ; long ret = pow ( base , p / 2 ) ; ret = ret * ret % MOD ; if ( p % 2 == 1 ) { ret = ret * base % MOD ; } return ret ; }
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