static long COM ( int n , int k ) {
  if ( n < k ) return 0 ;
  if ( n < 0 || k < 0 ) return 0 ;
  return fac [ n ] * ( finv [ k ] * finv [ n - k ] % MOD ) % MOD ;
}

static long COM ( int n , int k ) { if ( n < k ) return 0 ; if ( n < 0 || k < 0 ) return 0 ; return fac [ n ] * ( finv [ k ] * finv [ n - k ] % MOD ) % MOD ; }
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