Problem: Create a program that reads poker hand data and outputs the role for each. However, this issue follows the rules below.

* Poker is a competition with 5 playing cards.
* No more than 5 cards with the same number.
* There is no joker.
* Suppose you only consider the following poker roles: (The higher the number, the higher the role.)


1. No role (does not apply to any of the following)
2. One pair (two cards with the same number)
3. Two pairs (two pairs of cards with the same number)
4. Three cards (one set of three cards with the same number)
5. Straight (the numbers on 5 cards are consecutive)
However, in the case of a straight containing A, the sequence ending with A is also straight. In other words, there are two types of straights containing A: A 2 3 4 5 and 10 J Q K A. Lines that straddle A, such as J Q K A 2, are not straight. (In this case, it will be "no role").
6. Full House (one set of three cards with the same number and the other two cards with the same number)
7. Four Cards (one set of four cards with the same number)



Input

The input consists of multiple datasets. Each dataset is given in the following format:


Hand 1, Hand 2, Hand 3, Hand 4, Hand 5


In your hand, Trump's J (jack) is 11, Q (queen) is 12, K (king) is 13, A (ace) is 1, and the others are represented by their respective numbers.

The number of datasets does not exceed 50.

Output

For each dataset, output one of the highest roles you can play in your hand. Follow the output example for the notation of the role.

Example

Input

1,2,3,4,1
2,3,2,3,12
12,13,11,12,12
7,6,7,6,7
3,3,2,3,3
6,7,8,9,10
11,12,10,1,13
11,12,13,1,2


Output

one pair
two pair
three card
full house
four card
straight
straight
null

Solution (in JAVA):

Solution:
//Volume0-0038
import java.util.ArrayList;
import java.util.Collection;
import java.util.Collections;
import java.util.HashMap;
import java.util.Scanner;

class Num {
	public int num = 1;
}

public class Main {

    //declare
	private static ArrayList<Integer>   ar   = new ArrayList<Integer>(),
	                                    list = new ArrayList<Integer>();
	private static HashMap<Integer,Num> map  = new HashMap<Integer,Num>();

	public static void main(String[] args){

		String   result;
		String[] s;
		int      card;

		//initialize
		init();

        //input
        Scanner sc = new Scanner(System.in);
        while(sc.hasNext()){
        	ar.clear();
        	map.clear();
        	s = sc.nextLine().split(",");
        	for(int i=0;i<5;i++){
        		card = Integer.parseInt(s[i]);
        		ar.add(card);
        		if(map.containsKey(card)){
        			map.get(card).num++;
        		} else {
        			map.put(card, new Num());
        		}
        	}

        	//calculate
        	Collections.sort(ar);

        	out:{
        		if(include(4))  {result = "four card" ; break out;}
        		if(include(2,3)){result = "full house"; break out;}
        		if(straight())  {result = "straight"  ; break out;}
        		if(include(3))  {result = "three card"; break out;}
        		if(include(2,2)){result = "two pair"  ; break out;}
        		if(include(2))  {result = "one pair"  ; break out;}
                                 result = "null"      ;
        	}

        	//output
        	System.out.println(result);
        }
	}

	private static void init(){
		for(int i=1;i<15;i++){
			list.add(i);
		}
	}

	private static boolean include(int i){
		boolean ret = false;
		Collection<Num> cl = map.values();
		for(Num n:cl){
			if(n.num == i){
				ret = true;
			}
		}
		return ret;
	}

	private static boolean include(int i,int j){

		boolean ret = false;

		if(i != j){
			if(include(i) && include(j)){ret = true;}
		} else {
			int cnt = 0;
			Collection<Num> cl = map.values();
			for(Num n:cl){
				if(n.num == i){
					cnt++;
				}
			}
			if(cnt > 1){ret = true;}
		}
		return ret;
	}

	private static boolean straight(){
		boolean ret   = false;
		int     match = 0;
		for(int i=list.indexOf(ar.get(0)),j=0; i<list.size() && j<ar.size();i++,j++){
			if   (list.get(i) == ar.get(j)){match++;}
			else                           {break;}
		}
		if     (match == 5){ret = true;}
		else if(ar.contains(1)){
			ar.remove(0);
			ar.add(14);
			ret = straight();}
		return ret;
	}
}