static int possibleStrings ( int n , int r , int b , int g ) {
  int fact [ ] = new int [ n + 1 ] ;
  fact [ 0 ] = 1 ;
  for ( int i = 1 ;
  i <= n ;
  i ++ ) fact [ i ] = fact [ i - 1 ] * i ;
  int left = n - ( r + g + b ) ;
  int sum = 0 ;
  for ( int i = 0 ;
  i <= left ;
  i ++ ) {
    for ( int j = 0 ;
    j <= left - i ;
    j ++ ) {
      int k = left - ( i + j ) ;
      sum = sum + fact [ n ] / ( fact [ i + r ] * fact [ j + b ] * fact [ k + g ] ) ;
    }
  }
  return sum ;
}

static int possibleStrings ( int n , int r , int b , int g ) { int fact [ ] = new int [ n + 1 ] ; fact [ 0 ] = 1 ; for ( int i = 1 ; i <= n ; i ++ ) fact [ i ] = fact [ i - 1 ] * i ; int left = n - ( r + g + b ) ; int sum = 0 ; for ( int i = 0 ; i <= left ; i ++ ) { for ( int j = 0 ; j <= left - i ; j ++ ) { int k = left - ( i + j ) ; sum = sum + fact [ n ] / ( fact [ i + r ] * fact [ j + b ] * fact [ k + g ] ) ; } } return sum ; }
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