#define  _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <algorithm>
#include <utility>
#include <functional>
#include <cstring>
#include <queue>
#include <stack>
#include <math.h>
#include <iterator>
#include <vector>
#include <string>
#include <set>
#include <math.h>
#include <iostream>
#include <random>
#include<map>
#include <fstream>
#include <iomanip>
#include <time.h>
#include <stdlib.h>
#include <list>
#include <typeinfo>
#include <list>
#include <set>
#include <assert.h>
#include <boost/multiprecision/cpp_int.hpp>
namespace mp = boost::multiprecision;
using namespace std;
#define eps 0.000000001
#define LONG_INF 10000000000000000
#define GOLD 1.61803398874989484820458
#define MAX_MOD 1000000007
#define MOD 998244353
#define seg_size 65536*2
#define REP(i,n) for(long long i = 0;i < n;++i)
long long seg_tree[seg_size * 4] = {};
long long seg_find(int now, int n_l, int n_r, int w_l, int w_r) {
	if (w_l <= n_l && n_r <= w_r) return seg_tree[now];
	if (n_r <= w_l || w_r <= n_l) return 0;
	return seg_find(now * 2, n_l, (n_l + n_r) / 2, w_l, w_r) + seg_find(now * 2 + 1, (n_l + n_r) / 2, n_r, w_l, w_r);
}
long long seg_set(int now) {
	seg_tree[now] = seg_tree[now * 2] + seg_tree[now * 2 + 1];
	if (now != 1) seg_set(now / 2);
	return 0;
}
int main() {
	iostream::sync_with_stdio(false);
	int n;
	cin >> n;
	vector<int> hoge;
	REP(i, n) {
		int c;
		cin >> c;
		hoge.push_back(c);
		seg_tree[(seg_size + c)]++;
		seg_set((seg_size + c) / 2);
	}
	mp::cpp_int ans = 1;
	mp::cpp_int hogea = 1;
	for (int i = 1; i < hoge.size(); ++i) {
		mp::cpp_int nya = i;
        hogea *= nya;
	}
	for (int i = 0; i < hoge.size(); ++i) {
		mp::cpp_int geko = seg_find(1, 0, seg_size, 0, hoge[i]);
		ans += geko * hogea;
		seg_tree[(seg_size + hoge[i])]--;
		seg_set((seg_size + hoge[i]) / 2);
		if (i != hoge.size() - 1) {
			mp::cpp_int me = hoge.size() - i - 1;
			hogea /= me;
		}
	}
	cout << ans << endl;
	return 0;
}