#include #include #include using namespace std; #include #include using mint = atcoder::modint998244353; int main() { const mint J = 86583718; // 虚数単位 int N; cin >> N; vector A(N); for (auto &a : A) cin >> a; map mp; for (auto a : A) mp[a]++; mint ret = 0; for (auto [a, deg] : mp) { // z = 0 + a j が deg 位の極 留数定理 vector f{1}; for (auto b : A) { if (b != a) { f = atcoder::convolution(f, vector{(mint(a) + b) * J, 1}); f = atcoder::convolution(f, vector{(mint(a) - b) * J, 1}); } else { f = atcoder::convolution(f, vector{(b + b) * J, 1}); } } vector finv(deg); finv[0] = 1 / f[0]; for (int i = 1; i < deg; i++) { mint tmp = 0; for (int j = 0; j < i; j++) tmp += finv[j] * f[i - j]; finv[i] = -tmp / f[0]; } ret += finv[deg - 1]; } cout << (ret * 2 * J).val() << '\n'; }