import java.io.InputStream;
import java.io.IOException;
import java.util.NoSuchElementException;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;

public class Main {
	public static void main(String args[]) {
		MyInput in = new MyInput();

    int N = in.nextInt();
    int[] kamos = new int[N];
    boolean yn = true;


    for(int i = 0; i < N; i++) {
        kamos[i] = in.nextInt();
    }
    Arrays.sort(kamos);

    int sa = kamos[0] - kamos[1];

    for(int i = 1; i < N - 1; i++) {
        if(sa != kamos[i] - kamos[i+1] || kamos[i] == kamos[i+1] ) {
            yn = false;
            break;
        }
    }
    if(yn) System.out.println("YES");
    else System.out.println("NO");

	}
}

class MyInput {
	private final InputStream in = System.in;
	private final byte[] buffer = new byte[1024];
	private int ptr= 0;
	private int buflen = 0;
	private boolean hasNextByte() {
		if(ptr < buflen) {
			return true;
		}else {
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch(IOException e) {
				e.printStackTrace();
			}
			if(buflen <= 0) {
				return false;
			}
		}
		return true;
	}

	public int readByte() { 
		if (hasNextByte()) return buffer[ptr++];
		else return -1;
	}

	private static boolean isPrintableChar(int c) {
		return 33 <= c && c <=126;
	}

	private void skipUnprintable() {
		while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
	}

	public boolean hasNext() {
		skipUnprintable();
		return hasNextByte();
	}

	public String next() {
		if(!hasNext()) throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public long nextLong() {
		if(!hasNext()) throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if(b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while(true) {
			if('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			}else if(b == -1 || !isPrintableChar(b)) {
				return minus ? -n : n;
			}else {
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}

	public int nextInt() {
		long nl = nextLong();
		if(nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
		return (int) nl;
	}

	public double nextDouble() {
		return Double.parseDouble(next());
	}
}