There are four towns, numbered 1,2,3 and 4. Also, there are three roads. The i-th road connects different towns a_i and b_i bidirectionally. No two roads connect the same pair of towns. Other than these roads, there is no way to travel between these towns, but any town can be reached from any other town using these roads.

Determine if we can visit all the towns by traversing each of the roads exactly once.

Constraints

* 1 \leq a_i,b_i \leq 4(1\leq i\leq 3)
* a_i and b_i are different. (1\leq i\leq 3)
* No two roads connect the same pair of towns.
* Any town can be reached from any other town using the roads.

Input

Input is given from Standard Input in the following format:


a_1 b_1
a_2 b_2
a_3 b_3


Output

If we can visit all the towns by traversing each of the roads exactly once, print `YES`; otherwise, print `NO`.

Examples

Input

4 2
1 3
2 3


Output

YES


Input

3 2
2 4
1 2


Output

NO


Input

2 1
3 2
4 3


Output

YES
import java.util.*; import java.io.*; import java.math.*;
public class Main{
	//Don't have to see. start------------------------------------------
	static class InputIterator{
		ArrayList<String> inputLine = new ArrayList<String>(1024);
		int index = 0; int max; String read;
		InputIterator(){
			BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
			try{
				while((read = br.readLine()) != null){
					inputLine.add(read);
				}
			}catch(IOException e){}
			max = inputLine.size();
		}
		boolean hasNext(){return (index < max);}
		String next(){
			if(hasNext()){
				return inputLine.get(index++);
			}else{
				throw new IndexOutOfBoundsException("There is no more input");
			}
		}
	}
	static HashMap<Integer, String> CONVSTR = new HashMap<Integer, String>();
	static InputIterator ii = new InputIterator();//This class cannot be used in reactive problem.
	static PrintWriter out = new PrintWriter(System.out);
	static void flush(){out.flush();}
	static void myout(Object t){out.println(t);}
	static void myerr(Object t){System.err.print("debug:");System.err.println(t);}
	static String next(){return ii.next();}
	static boolean hasNext(){return ii.hasNext();}
	static int nextInt(){return Integer.parseInt(next());}
	static long nextLong(){return Long.parseLong(next());}
	static double nextDouble(){return Double.parseDouble(next());}
	static ArrayList<String> nextStrArray(){return myconv(next(), 8);}
	static ArrayList<String> nextCharArray(){return myconv(next(), 0);}
	static ArrayList<Integer> nextIntArray(){
		ArrayList<String> input = nextStrArray(); ArrayList<Integer> ret = new ArrayList<Integer>(input.size());
		for(int i = 0; i < input.size(); i++){
			ret.add(Integer.parseInt(input.get(i)));
		}
		return ret;
	}
	static ArrayList<Long> nextLongArray(){
		ArrayList<String> input = nextStrArray(); ArrayList<Long> ret = new ArrayList<Long>(input.size());
		for(int i = 0; i < input.size(); i++){
			ret.add(Long.parseLong(input.get(i)));
		}
		return ret;
	}
	static String myconv(Object list, int no){//only join
		String joinString = CONVSTR.get(no);
		if(list instanceof String[]){
			return String.join(joinString, (String[])list);
		}else if(list instanceof ArrayList){
			return String.join(joinString, (ArrayList)list);
		}else{
			throw new ClassCastException("Don't join");
		}
	}
	static ArrayList<String> myconv(String str, int no){//only split
		String splitString = CONVSTR.get(no);
		return new ArrayList<String>(Arrays.asList(str.split(splitString)));
	}
	public static void main(String[] args){
		CONVSTR.put(8, " "); CONVSTR.put(9, "\n"); CONVSTR.put(0, "");
		solve();flush();
	}
	//Don't have to see. end------------------------------------------
	static void solve(){//Here is the main function
		ArrayList<ArrayList<Integer>> list = new ArrayList<ArrayList<Integer>>();
		list.add(new ArrayList<Integer>());
		list.add(new ArrayList<Integer>());
		list.add(new ArrayList<Integer>());
		list.add(new ArrayList<Integer>());
		ArrayList<Integer> one = nextIntArray();
		list.get(one.get(0) - 1).add(one.get(1) - 1);
		list.get(one.get(1) - 1).add(one.get(0) - 1);
		one = nextIntArray();
		list.get(one.get(0) - 1).add(one.get(1) - 1);
		list.get(one.get(1) - 1).add(one.get(0) - 1);
		one = nextIntArray();
		list.get(one.get(0) - 1).add(one.get(1) - 1);
		list.get(one.get(1) - 1).add(one.get(0) - 1);
		String output = "YES";
		for(int i = 0; i < list.size(); i++){
			if(list.get(i).size() == 3){
				output = "NO";
			}
		}
		myout(output);
	}
	//Method addition frame start



	//Method addition frame end
}
