Problem: Petya and Vasya decided to play a game. They have n cards (n is an even number). A single integer is written on each card.

Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.

The game is considered fair if Petya and Vasya can take all n cards, and the number of cards each player gets is the same.

Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair. 

Input

The first line contains a single integer n (2 ≤ n ≤ 100) — number of cards. It is guaranteed that n is an even number.

The following n lines contain a sequence of integers a1, a2, ..., an (one integer per line, 1 ≤ ai ≤ 100) — numbers written on the n cards.

Output

If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.

In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them.

Examples

Input

4
11
27
27
11


Output

YES
11 27


Input

2
6
6


Output

NO


Input

6
10
20
30
20
10
20


Output

NO


Input

6
1
1
2
2
3
3


Output

NO

Note

In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.

In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.

In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards.

Solution (in JAVA):

Solution:

import java.io.*;
import java.nio.charset.StandardCharsets;
import java.util.*;
import java.util.stream.Collector;
import java.util.stream.Collectors;

public class Solution {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(I.stdInputStream());
        
        int t = I.inputInt(br);
        List<Integer> list = new ArrayList<>();
        while (t-- > 0) list.add(I.inputInt(br));
        Set<Integer> set = new HashSet<>(list);
        if (set.size() == 2) {
            int cnt = 0, x = list.get(0);
            for (int i : list) if (i == x) cnt++;
            if (list.size() % 2 == 0 && cnt == list.size() / 2) {
                StringBuilder sb = new StringBuilder();
                sb.append("YES\n");
                for (int i : set) {
                   sb.append(i).append(" ");
                }
                O.print(sb);
                return;
            }
        }
        O.print("NO");
    }

    public static class S {

        public static <T> String string(T val) {
            return val + "\n";
        }

        public static String string(int[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (int in : array) sb.append(in).append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(long[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (long in : array) sb.append(in).append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(double[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (double in : array) sb.append(in).append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(boolean[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (boolean in : array) sb.append(in ? "T" : "F").append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(char[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (char in : array) sb.append(in).append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(String[] array) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (String in : array) sb.append(in).append(", ");
            if (array.length != 0) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(int[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (int[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(long[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (long[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(double[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (double[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static <T> String string(boolean[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (boolean[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(char[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (char[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static String string(String[][] array) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (String[] in : array) sb.append("  ").append(string(in));
            closingBracket(sb);
            return sb.toString();
        }

        public static <T> String stringi(List<T> list) {
            StringBuilder sb = new StringBuilder();
            for (int i = 0; i < list.size(); i++) sb.append(i).append(": ").append(list.get(i)).append("\n");
            return sb.toString();
        }

        public static <T> String string(Collection<T> collection) {
            StringBuilder sb = new StringBuilder();
            openingBracket(sb);
            for (T t : collection) sb.append(t).append(", ");
            if (!collection.isEmpty()) deleteLastComma(sb);
            closingBracket(sb);
            return sb.toString();
        }

        public static <T> String string2D(Collection<Collection<T>> collection) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (Collection<T> t : collection) sb.append("  ").append(string(t));
            closingBracket(sb);
            return sb.toString();
        }

        public static <T> String string2Di(List<Collection<T>> list) {
            StringBuilder sb = new StringBuilder();
            openingBracketWithNewLine(sb);
            for (int i = 0; i < list.size(); i++) sb.append("  ").append(i).append(": ").append(string(list.get(i)));
            closingBracket(sb);
            return sb.toString();
        }

        public static <E, V> String string(Map<E, V> map) {
            StringBuilder sb = new StringBuilder();
            for (Map.Entry<E, V> entry : map.entrySet())
                sb.append(entry.getKey()).append(": ").append(entry.getValue()).append("\n");
            sb.append("\n");
            return sb.toString();
        }

        private static void openingBracket(StringBuilder sb) {
            sb.append("[");
        }

        private static void openingBracketWithNewLine(StringBuilder sb) {
            sb.append("[\n");
        }

        private static void closingBracket(StringBuilder sb) {
            sb.append("]\n");
        }

        private static void deleteLastComma(StringBuilder sb) {
            sb.delete(sb.length() - 2, sb.length());
        }
    }

    public static class I {

        public static int inputInt(BufferedReader br) throws IOException {
            return Integer.parseInt(br.readLine());
        }

        public static int[] inputIntArray(BufferedReader br) throws IOException {
            String[] spec = br.readLine().split(" ");
            int[] arr = new int[spec.length];
            for (int i = 0; i < spec.length; i++) arr[i] = Integer.parseInt(spec[i]);
            return arr;
        }

        public static long inputLong(BufferedReader br) throws IOException {
            return Long.parseLong(br.readLine());
        }

        public static long[] inputLongArray(BufferedReader br) throws IOException {
            String[] spec = br.readLine().split(" ");
            long[] arr = new long[spec.length];
            for (int i = 0; i < spec.length; i++) arr[i] = Long.parseLong(spec[i]);
            return arr;
        }

        public static String inputString(BufferedReader br) throws IOException {
            return br.readLine();
        }

        public static String[] inputStringArray(BufferedReader br) throws IOException {
            return br.readLine().split(" ");
        }

        private static InputStreamReader inputStream() throws IOException {
            return ("why in the world not?".equals(System.getenv("LOCAL_CODING")))
                    ? fileInputStream() : stdInputStream();
        }

        private static InputStreamReader stdInputStream() {
            return new InputStreamReader(System.in);
        }

        private static InputStreamReader fileInputStream() throws FileNotFoundException {
            return new InputStreamReader(new FileInputStream("input.txt"), StandardCharsets.UTF_8);
        }
    }

    public static class O {

        public static void attach() {
            debug("", false);
        }

        public static void debugNewLine() {
            debug("\n");
        }

        public static void debug(int val) {
            debug(String.valueOf(val));
        }

        public static void debug(long val) {
            debug(String.valueOf(val));
        }

        public static void debug(boolean val) {
            debug(val ? "T" : "F");
        }

        public static void debug(String text) {
            debug(text, true);
        }

        public static void debug(String text, boolean append) {
            if (!"why in the world not?".equals(System.getenv("LOCAL_CODING"))) return;
            try {
                FileWriter fileWriter = new FileWriter("debug.txt", append);
                fileWriter.write(text);
                fileWriter.close();
            } catch (IOException e) {
                e.printStackTrace();
            }
        }

        public static <T> void print(T object) {
            System.out.println(object);
        }
    }
}