#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
using lint = long long;
using pi = pair<int, int>;
const int MAXN = 200005;
const int mod = 1e9 + 7;

struct mint {
	int val;
	mint() { val = 0; }
	mint(const lint& v) {
		val = (-mod <= v && v < mod) ? v : v % mod;
		if (val < 0) val += mod;
	}

	friend ostream& operator<<(ostream& os, const mint& a) { return os << a.val; }
	friend bool operator==(const mint& a, const mint& b) { return a.val == b.val; }
	friend bool operator!=(const mint& a, const mint& b) { return !(a == b); }
	friend bool operator<(const mint& a, const mint& b) { return a.val < b.val; }

	mint operator-() const { return mint(-val); }
	mint& operator+=(const mint& m) { if ((val += m.val) >= mod) val -= mod; return *this; }
	mint& operator-=(const mint& m) { if ((val -= m.val) < 0) val += mod; return *this; }
	mint& operator*=(const mint& m) { val = (lint)val*m.val%mod; return *this; }
	friend mint ipow(mint a, lint p) {
		mint ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
		return ans;
	}
	friend mint inv(const mint& a) { assert(a.val); return ipow(a, mod - 2); }
	mint& operator/=(const mint& m) { return (*this) *= inv(m); }

	friend mint operator+(mint a, const mint& b) { return a += b; }
	friend mint operator-(mint a, const mint& b) { return a -= b; }
	friend mint operator*(mint a, const mint& b) { return a *= b; }
	friend mint operator/(mint a, const mint& b) { return a /= b; }
	operator int64_t() const {return val; }
};

int n, a[MAXN];
int val[MAXN];

mint f(int x, int y){
	int s, e;
	if(x == y){
		s = e = -1;
	}
	else{
		s = min(a[x], a[y]);
		e = max(a[x], a[y]);
	}
	mint ret = 1;
	for(int i=1; i<=n; i++){
		ret *= val[i] - (s < i && i <= e);
	}
	ret *= mint((mod + 1) / 2);
	return ret;
}

struct bit{
	int tree[MAXN];
	void add(int x, int v){
		for(int i=x; i<MAXN; i+=i&-i) tree[i] += v;
	}
	int query(int x){
		int ret = 0;
		for(int i=x; i; i-=i&-i) ret += tree[i];
		return ret;
	}
}bit;

vector<int> v[MAXN];
mint pref[MAXN], suff[MAXN];
mint foo[MAXN], bar[MAXN], prec[MAXN];

mint dnc(int l, int r){
	if(l == r) return mint(0);
	int m = (l+r)/2;
	mint ret = dnc(l, m) + dnc(m+1, r);
	vector<pi> L, R;
	for(int i=l; i<=m; i++){
		for(auto &j : v[i]){
			L.emplace_back(j, i);
		}
	}
	for(int i=m+1; i<=r; i++){
		for(auto &j : v[i]){
			R.emplace_back(j, i);
		}
	}
	foo[m + 1] = pref[m];
	for(int i=m; i>=l; i--){
		foo[i] = foo[i + 1] * prec[val[i]];
	}
	bar[m] = suff[m+1];
	for(int i=m+1; i<=r; i++){
		bar[i] = bar[i - 1] * prec[val[i]];
	}
	sort(all(L));
	sort(all(R));
	int ptr = 0;
	mint baz = 0;
	for(int i=0; i<sz(R); i++){
		while(ptr < sz(L) && L[ptr].first <= R[i].first){
			baz += foo[L[ptr].second + 1];
			ptr++;
		}
		ret += baz * bar[R[i].second];
	}
	return ret;
}

bool init(){
	memset(val, 0, sizeof(val));
	for(int i=1; i<=n; i++) val[i] = 1;
	for(int i=0; i<n; i++) val[a[i]+1]--;
	for(int i=1; i<=n; i++){
		val[i] += val[i-1];
		if(val[i] <= 0) return 1;
	}
	pref[0] = 1;
	for(int i=1; i<=n; i++){
		pref[i] = pref[i-1] * mint(val[i]);
	}
	suff[n+1] = 1;
	for(int i=n; i; i--){
		suff[i] = suff[i+1] * mint(val[i]);
	}
	return 0;
}

mint solve(){
	if(init()) return 0;
	for(int i=1; i<=n; i++) v[i].clear();
	for(int i=0; i<n; i++){
		v[a[i]].push_back(i);
	}
	return dnc(1, n) / mint(2);
	/*
	for(int i=0; i<n; i++){
		for(int j=0; j<i; j++){
			if(a[j] < a[i]){
				ret += f(j, i);
			}
		}
	}
	*/
}

int main(){
	scanf("%d",&n);
	for(int i=1; i<=n; i++) prec[i] = mint(i-1) / mint(i);
	for(int i=0; i<n; i++) scanf("%d",&a[i]);
	if(init()){
		puts("0");
		return 0;
	}
	mint ret = 0;
	{
		mint inv = 0;
		for(int i=n-1; i>=0; i--){
			inv += mint(bit.query(a[i]) + bit.query(a[i] - 1));
			bit.add(a[i], 1);
		}
		ret += inv * f(-69, -69);
	}
	ret += solve();
	reverse(a, a + n);
	ret -= solve();
	cout << ret << endl;
}


Measured memory_bytes: 23028