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:

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;

public class Main {
	
	private static final int NUM_HAND_CARD = 5;
	public static void main(String[] arg){
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int[] hand = new int[NUM_HAND_CARD];
		ArrayList<String> result = new ArrayList<String>();
		try{
			while(true){
				String[] input = br.readLine().split(",");
				for(int i = 0; i < NUM_HAND_CARD; i++){
					hand[i] = Integer.parseInt(input[i]);
				}
				result.add(judgeHand(hand));
			}
		}catch(Exception e){
			//何もしないで出力処理に移る
		}
		
		for(String pair : result){
			System.out.println(pair);
		}
	}
	
	public static String judgeHand(int[] hand){
		Arrays.sort(hand);
		if(isFourCard(hand)){
			return "four card";
		}
		else if(isFullHouse(hand)){
			return "full house";
		}
		else if(isStraight(hand)){
			return "straight";
		}
		else if(isThreeCard(hand)){
			return "three card";
		}
		else if(isTwoPair(hand)){
			return "two pair";
		}
		else if(isOnePair(hand)){
			return "one pair";
		}
		else{
			return null;
		}
	}
	
	private static boolean isFourCard(int[] hand){
		return isPair(hand ,4, 1);
	}
	
	private static boolean isFullHouse(int[] hand){
		if(isOnePair(hand) && isThreeCard(hand)){
			return true;
		}
		else{
			return false;
		}
	}

	private static boolean isStraight(int[] hand){
		int[] tmpHand = new int[NUM_HAND_CARD];
		for(int i = 0; i < NUM_HAND_CARD; i++){
			tmpHand[i] = hand[i];
			if(tmpHand[i] == 1){
				tmpHand[i] = 14;
			}
		}
		Arrays.sort(tmpHand);
		return checkNumbersStraight(hand) || checkNumbersStraight(tmpHand);
	}
	
	private static boolean checkNumbersStraight(int[] hand){
		int numStart = hand[0];
		for(int i = 1; i < NUM_HAND_CARD; i++){
			if(++numStart != hand[i]){
				return false;
			}
		}
		return true;
	}

	private static boolean isThreeCard(int[] hand){
		return isPair(hand, 3, 1);
	}

	private static boolean isTwoPair(int[] hand){
		return isPair(hand, 2, 2);
	}

	private static boolean isOnePair(int[] hand){
		return isPair(hand, 2, 1);
	}
	
	//同じカードnumCard枚のペアがnumPair組あるか判定する
	private static boolean isPair(int[] hand, int numCard, int numPair){
		//Arrays.sort(hand);
		int pairCount = 0;
		for(int n = 1; n <= 13; n++){
			int count = 0;
			for(int i = 0; i < NUM_HAND_CARD; i++){
				if(hand[i] == n){
					count++;
				}
			}
			if(count == numCard){
				pairCount++;
			}
		}
		if(pairCount == numPair){
			return true;
		}
		else{
			return false;
		}
	}

}