Dawid has four bags of candies. The i-th of them contains a_i candies. Also, Dawid has two friends. He wants to give each bag to one of his two friends. Is it possible to distribute the bags in such a way that each friend receives the same amount of candies in total?

Note, that you can't keep bags for yourself or throw them away, each bag should be given to one of the friends.

Input

The only line contains four integers a_1, a_2, a_3 and a_4 (1 ≤ a_i ≤ 100) — the numbers of candies in each bag.

Output

Output YES if it's possible to give the bags to Dawid's friends so that both friends receive the same amount of candies, or NO otherwise. Each character can be printed in any case (either uppercase or lowercase).

Examples

Input


1 7 11 5


Output


YES


Input


7 3 2 5


Output


NO

Note

In the first sample test, Dawid can give the first and the third bag to the first friend, and the second and the fourth bag to the second friend. This way, each friend will receive 12 candies.

In the second sample test, it's impossible to distribute the bags.
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.List;
import java.util.Scanner;
import java.util.stream.Collectors;
public class _p001230A {
    static public void main(final String[] args) throws java.io.IOException {
        p001230A._main(args);
    }
//begin p001230A.java
static private class p001230A extends Solver{public p001230A(){nameIn="p001230A.in"
;singleTest=true;}int[]a;@Override protected void solve(){Arrays.sort(a);pw.println
(a[0]+a[3]==a[1]+a[2]||a[3]==a[0]+a[1]+a[2]?"YES":"NO");}@Override public void readInput
()throws IOException{a=Arrays.stream(sc.nextLine().trim().split("\\s+")).mapToInt
(Integer::valueOf).toArray();}static public void _main(String[]args)throws IOException
{new p001230A().run();}}
//end p001230A.java
//begin net/leksi/contest/Solver.java
static private abstract class Solver{protected String nameIn=null;protected String
nameOut=null;protected boolean singleTest=false;protected boolean preprocessDebug
=false;protected boolean doNotPreprocess=false;protected Scanner sc=null;protected
PrintWriter pw=null;private void process()throws IOException{if(!singleTest){int
t=lineToIntArray()[0];while(t-->0){readInput();solve();}}else{readInput();solve(
);}}abstract protected void readInput()throws IOException;abstract protected void
solve()throws IOException;protected int[]lineToIntArray()throws IOException{return
Arrays.stream(sc.nextLine().trim().split("\\s+")).mapToInt(Integer::valueOf).toArray
();}protected long[]lineToLongArray()throws IOException{return Arrays.stream(sc.nextLine
().trim().split("\\s+")).mapToLong(Long::valueOf).toArray();}protected String intArrayToString
(final int[]a){return Arrays.stream(a).mapToObj(Integer::toString).collect(Collectors
.joining(" "));}protected String longArrayToString(final long[]a){return Arrays.stream
(a).mapToObj(Long::toString).collect(Collectors.joining(" "));}protected List<Long>
longArrayToList(final long[]a){return Arrays.stream(a).mapToObj(Long::valueOf).collect
(Collectors.toList());}protected List<Integer>intArrayToList(final int[]a){return
Arrays.stream(a).mapToObj(Integer::valueOf).collect(Collectors.toList());}protected
List<Long>intArrayToLongList(final int[]a){return Arrays.stream(a).mapToObj(Long
::valueOf).collect(Collectors.toList());}protected void run()throws IOException{
try{try(FileInputStream fis=new FileInputStream(nameIn);PrintWriter pw0=select_output
();){sc=new Scanner(fis);pw=pw0;process();}}catch(IOException ex){try(PrintWriter
pw0=select_output();){sc=new Scanner(System.in);pw=pw0;process();}}}private PrintWriter
select_output()throws FileNotFoundException{if(nameOut !=null){return new PrintWriter
(nameOut);}return new PrintWriter(System.out);}}
//end net/leksi/contest/Solver.java
}
