#include <bits/stdc++.h>
using namespace std;

#include "atcoder/all"
using namespace atcoder;
using Mint = modint998244353;

vector c(300, vector(300, Mint{1}));
vector seen(300, vector(300, false));
Mint C(int n, int k) {
    if (k < 0 || k > n)
        return 0;
    if (seen[n][k])
        return c[n][k];
    seen[n][k] = true;
    auto& ret = c[n][k];
    if (n == 0)
        return ret = 1;
    return ret = C(n - 1, k) + C(n - 1, k - 1);
}

int main() {
    int N;
    cin >> N;
    vector<int> A(N);
    map<int, int> mp;
    for (auto&& a : A) {
        cin >> a;
        mp[a]++;
    }
    vector<pair<int, int>> V;
    for (auto p : mp) {
        V.push_back(p);
    }
    Mint ans = 0;
    for (auto&& [a, n] : V) {
        Mint book = 1;
        vector<Mint> memo(n);
        memo[0] = 1;
        for (auto&& [b, m] : V) {
            if (b != a) {
                {
                    vector<Mint> memo_nxt(n);
                    for (int i = 0; i <= n - 1; i++) {
                        Mint tmp = Mint{1} / Mint{a + b}.pow(m);
                        for (int j = 0;; j++) {
                            if (i + j > n - 1)
                                break;
                            //j回微分
                            memo_nxt[i + j] += memo[i] * tmp * C(i + j, j);
                            tmp *= -(m + j);
                            tmp /= (a + b);
                        }
                    }
                    swap(memo, memo_nxt);
                }
                {
                    vector<Mint> memo_nxt(n);
                    for (int i = 0; i <= n - 1; i++) {
                        Mint tmp = Mint{1} / Mint{a - b}.pow(m);
                        for (int j = 0;; j++) {
                            if (i + j > n - 1)
                                break;
                            //j回微分
                            memo_nxt[i + j] += memo[i] * tmp * C(i + j, j);
                            tmp *= -(m + j);
                            tmp /= (a - b);
                        }
                    }
                    swap(memo, memo_nxt);
                }
            }
        }
        {
            vector<Mint> memo_nxt(n);
            for (int i = 0; i <= n - 1; i++) {
                Mint tmp = Mint{1} / Mint{2 * a}.pow(n);
                for (int j = 0;; j++) {
                    if (i + j > n - 1)
                        break;
                    //j回微分
                    memo_nxt[i + j] += memo[i] * tmp * C(i + j, j);
                    tmp *= -(n + j);
                    tmp /= (2 * a);
                }
            }
            swap(memo, memo_nxt);
        }
        book = memo[n - 1];
        for (int i = 1; i <= n - 1; i++) {
            book /= i;
        }
        ans += book;
    }
    ans *= 2;
    if (N % 2 == 0)
        ans *= -1;
    cout << ans.val() << endl;
}