#include #include #define int long long using namespace std; using namespace atcoder; //参考: https://drken1215.hatenablog.com/entry/2018/06/08/210000 const int mod = 998244353; int fact[300001], inv[300001], finv[300001]; void comb_init(int n) { fact[0] = fact[1] = finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i <= n; i++) { fact[i] = fact[i - 1] * i % mod; inv[i] = (mod - inv[mod % i] * (mod / i) % mod) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } int comb(int n, int k) { return fact[n] * finv[k] % mod * finv[n - k] % mod; } int n; int p[300000]; signed main() { int i; cin >> n; comb_init(n); for (i = 0; i < n; i++) { cin >> p[i]; p[i]--; } fenwick_tree fwL(n), fwR(n); vector A(n), B(n), C(n), D(n); for (i = 0; i < n; i++) { //p[i]より左の要素について、p[i]未満・p[i]超えの個数をカウント A[i] = fwL.sum(0, p[i]); //値が[0, p[i])に含まれる要素数 B[i] = i - A[i]; fwL.add(p[i], 1); } for (i = n - 1; i >= 0; i--) { //p[i]より右の要素について、p[i]未満・p[i]超えの個数をカウント C[i] = fwR.sum(0, p[i]); //値が[0, p[i])に含まれる要素数 D[i] = (n - 1 - i) - C[i]; fwR.add(p[i], 1); } int ans = 0; for (i = 0; i < n; i++) { int res = comb(A[i] + D[i], A[i]) * comb(B[i] + C[i], B[i]) % mod; ans += res; ans %= mod; } cout << ans << endl; return 0; }