You are given an array a_1, a_2, …, a_n.

In one operation you can choose two elements a_i and a_j (i ≠ j) and decrease each of them by one.

You need to check whether it is possible to make all the elements equal to zero or not.

Input

The first line contains a single integer n (2 ≤ n ≤ 10^5) — the size of the array.

The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the elements of the array.

Output

Print "YES" if it is possible to make all elements zero, otherwise print "NO".

Examples

Input


4
1 1 2 2


Output


YES

Input


6
1 2 3 4 5 6


Output


NO

Note

In the first example, you can make all elements equal to zero in 3 operations: 

  * Decrease a_1 and a_2, 
  * Decrease a_3 and a_4, 
  * Decrease a_3 and a_4 



In the second example, one can show that it is impossible to make all elements equal to zero.
import java.io.*;
import java.math.*;
import java.util.*;

public class Codeforce {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        Solver solver = new Solver();
        solver.solve(in,out);
        out.close();

    }

    static class Solver{
        boolean[] visited;
        ArrayList<Integer>[] adjList;
        final long MOD = 1000000007;
        int[] order;
        int[] orderFreq;

        public void solve(InputReader in, OutputWriter out){

            int n = in.nextInt();
            long sum = 0;
            long max = 0;
            for(int i=0;i<n;i++){
                long a = in.nextInt();
                sum+=a;
                max = Math.max(max,a);
            }

            if((sum&1) == 1 || (sum-max)<max){
                out.printf("NO");
            }
            else{
                out.printf("YES");
            }

        }

        public int gcd(int a, int b) {
            if (b==0) return a;
            return gcd(b,a%b);
        }
        public long gcd(long a, long b) {
            if (b==0) return a;
            return gcd(b,a%b);
        }


        private void initAdjList(int n){
            adjList = new ArrayList[n];
            visited = new boolean[n];
            for(int i=0;i<n;i++){
                adjList[i] = new ArrayList<>();
            }
        }

        class Edge{
            int weight;
            int node;
            public  Edge(int node, int weight){
                this.node = node;
                this.weight = weight;
            }
        }

        class Pair{
            String name;
            int score;
            public Pair(String name, int score){
                this.name = name;
                this.score = score;
            }
        }

        private int dfs(int u){
            visited[u] = true;
            if(adjList[u].size()<=1){
                return 0;
            }
            int order = Integer.MAX_VALUE;
            for(int v: adjList[u]){
                if(!visited[v]){
                   order = Math.min(dfs(v)+1,order);
                }
            }
            return order;
        }

//        private void bfs(int s) {
//            Queue<Integer> q = new LinkedList<Integer>();
//            q.add(s);
//            visited[s] = true;
//            while(!q.isEmpty()) {
//                int u = q.remove();
//                for(int v: adjList[u]){
//                    if(!visited[v]) {
//                        visited[v] = true;
//                        q.add(v);
//                    }
//                }
//
//            }
//        }

        private  int[] nextAInt(int n, InputReader in){
            int arr[] = new int[n];
            for(int i=0;i<n;i++){
                arr[i]= in.nextInt();
            }
            return arr;
        }

        private  long[] nextALong(int n, InputReader in){
            long arr[] = new long[n];
            for(int i=0;i<n;i++){
                arr[i]= in.nextInt();
            }
            return arr;
        }

    }


    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1 << 16];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (this.numChars == -1) {
                throw new InputMismatchException();
            } else {
                if (this.curChar >= this.numChars) {
                    this.curChar = 0;

                    try {
                        this.numChars = this.stream.read(this.buf);
                    } catch (IOException var2) {
                        throw new InputMismatchException();
                    }

                    if (this.numChars <= 0) {
                        return -1;
                    }
                }

                return this.buf[this.curChar++];
            }
        }

        public int nextInt() {
            int c;
            for (c = this.read(); isSpaceChar(c); c = this.read()) {
                ;
            }

            byte sgn = 1;
            if (c == 45) {
                sgn = -1;
                c = this.read();
            }

            int res = 0;

            while (c >= 48 && c <= 57) {
                res *= 10;
                res += c - 48;
                c = this.read();
                if (isSpaceChar(c)) {
                    return res * sgn;
                }
            }

            throw new InputMismatchException();
        }

        public String next() {
            int c;
            while (isSpaceChar(c = this.read())) {
                ;
            }

            StringBuilder result = new StringBuilder();
            result.appendCodePoint(c);

            while (!isSpaceChar(c = this.read())) {
                result.appendCodePoint(c);
            }

            return result.toString();
        }

        public static boolean isSpaceChar(int c) {
            return c == 32 || c == 10 || c == 13 || c == 9 || c == -1;
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void printf(String format, Object... objects) {
            writer.printf(format, objects);
        }

        public void close() {
            writer.close();
        }

    }


}
