#include <cstdio>
#include <iostream>
#include <string>
#include <sstream>
#include <stack>
#include <algorithm>
#include <cmath>
#include <queue>
#include <map>
#include <set>
#include <cstdlib>
#include <bitset>
#include <tuple>
#include <assert.h>
#include <deque>
#include <bitset>
#include <iomanip>
#include <limits>
#include <chrono>
#include <random>
#include <array>
#include <unordered_map>
#include <functional>
#include <complex>
#include <numeric>
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
//constexpr long long MAX = 5100000;
constexpr long long INF = 1LL << 60;
constexpr int inf = 1000000007;
constexpr long long mod = 1000000007LL;
//constexpr long long mod = 998244353LL;
const long double PI = acos((long double)(-1));

using namespace std;
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;

int main()
{
    /*
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    */
    int n; cin >> n;
    vector<int> x(n); for (int i = 0; i < n; i++) scanf("%d", &x[i]);
    sort(x.begin(), x.end()); 
    if (x[0] == x[1]) {
        puts("NO");
        return 0;
    }
    int sa = x[1] - x[0];
    for (int i = 1; i + 1 < n; i++) {
        if (x[i + 1] - x[i] != sa) {
            puts("NO");
            return 0;
        }
    }
    puts("YES");
    return 0;
}