//Let's join Kaede Takagaki Fan Club !! #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include #include #include using namespace std; typedef long long ll; typedef pair P; typedef pair P1; typedef pair P2; #define pu push #define pb push_back #define mp make_pair #define eps 1e-7 #define INF 1000000000 #define fi first #define sc second #define rep(i,x) for(int i=0;i void dmp(T a){ rep(i,a.size()) cout << a[i] << " "; cout << endl; } template bool chmax(T&a, T b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T&a, T b){ if(a > b){ a = b; return 1; } return 0; } template void g(T &a){ cin >> a; } template void o(const T &a,bool space=false){ cout << a << (space?' ':'\n'); } //ios::sync_with_stdio(false); const ll mod = 998244353; template void add(T&a,T b){ a+=b; if(a >= mod) a-=mod; } ll modpow(ll x,ll n){ ll res=1; while(n>0){ if(n&1) res=res*x%mod; x=x*x%mod; n>>=1; } return res; } ll F[200005],R[200005]; void make(){ F[0] = 1; for(int i=1;i<200005;i++) F[i] = F[i-1]*i%mod; for(int i=0;i<200005;i++) R[i] = modpow(F[i],mod-2); } ll C(int a,int b){ return F[a]*R[b]%mod*R[a-b]%mod; } int n, a[200005]; vectorvi; struct BIT { int bit[(1<<20)+5]; int f(int x) { return x&-x; } void add(int i,int x) { for(int s=i;s<=(1<<20);s+=f(s)) bit[s]+=x; } int sum(int i) { int res=0; for(int s=i;s>0;s-=f(s)) res+=bit[s]; return res; } }bit; int main(){ scanf("%d", &n); repn(i, n) scanf("%d", &a[i]); repn(i, n) vi.pb(a[i]); SORT(vi); ERASE(vi); ll R = 0, S = 0; repn(i, n){ a[i] = POSL(vi, a[i]) + 1; R += i-1-bit.sum(a[i]); S += i-1-bit.sum(a[i])+bit.sum(a[i]-1); bit.add(a[i], 1); } make(); ll ans = 1; repn(i, n) ans = ans * C(n, i) % mod; ll c1 = 0; c1 = 1LL*n*(n+1)/2%mod; c1 = c1*c1%mod; repn(i, n) c1 -= 1LL*i*i%mod; c1 = (c1%mod+mod)%mod; c1 = c1 * ((mod+1)/2) % mod; c1 = c1 * modpow(n, mod-2) % mod * modpow(n, mod-2) % mod; ll c2 = 0; for(int i=1;i<=n;i++){ c2 += 1LL*i*(i-1)%mod * modpow(n, mod-2) % mod * modpow(n-1, mod-2) % mod; } c2 %= mod; c1 = c1 * ans % mod; c2 = c2 * ans % mod; ll ret = S%mod*c1%mod; ret += R%mod*c2%mod; cout << (ret%mod) << endl; }