This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define pb push_back
#define mp make_pair
typedef long long ll;
typedef pair<long long, long long> pll;
typedef pair<int,int> pii;
typedef vector<long long> vl;
typedef vector<int> vi;
int n;
vl arr, p;
const int mod = 1e9 + 7;
ll power[300100];
int main(){
cin>>n;
arr.resize(n);
for(int i = 0; i < n; i++){
cin>>arr[i];
p.pb(arr[i]);
}
memset(power, 0, sizeof power);
power[1] = 1;
for(int i =2; i < n; i++){
power[i] = i * power[i-1];
power[i] %= mod;
}
sort(p.begin(), p.end());
map<ll, ll> lower;
for(int i = 0; i < n; i++)
lower[p[i]] = i;
int ele = n - 1;
ll ans = 0;
ordered_set o_set;
for(int i = 0; i < n; i++){
ll here = lower[arr[i]] - o_set.order_of_key(arr[i]);
// cout<<here<<" ";
// cout<<here<<" "<<power[ele]<<" "<<ele<<endl;
ans += (here * power[ele]) % mod;
ans %= mod;
ele--;
o_set.insert(arr[i]);
}
// cout<<endl;
cout<<(ans+1)%mod<<endl;
return 0;
}
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