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>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T>using ordered_set = tree<T,null_type,less_equal<T>,rb_tree_tag,tree_order_statistics_node_update>;//find_by_order(ind);
//order_of_key()
#define int long long
#define fast ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
#define pb push_back
#define yes "YES"
#define no "NO"
#define bigg INT_MAX
#define debug(x) cout<<(#x)<<" = " <<x<<endl;
#define all(x) x.begin(),x.end()
#define sz size()
#define nn '\n'
#define mms(x,y) memset(x,y,sizeof(x))
#define forr(i,j,n) for (int i=j; i<n; i++)
#define forn(i,j,n) for (int i=j; i>n; i--)
#define fi first
#define se second
#define la "LA"
#define cinn(x,y) for(int i=0; i<y; i++) cin>>x[i];
#define pii pair<int,int>
//
//int fact(int x)
//{
// int w=1;
// forr(i,1,x+1) w*=i;
//}
signed main()
{
// #ifndef LOCAL
// freopen("lifeguards.in","r",stdin);
// freopen("lifeguards.out","w", stdout);
// #endif
fast
int n;
cin>>n;
int fact[n];
int w=1;
int mod=1000000007;
fact[0]=0;
forr(i,1,n) {w*=i; w%=mod; fact[i]=w;}
int a[n];
map<int,int> m;
int b[n];
forr(i,0,n) { cin>>a[i]; b[i]=a[i];}
sort(b,b+n);
forr(i,0,n) m[b[i]]=i+1;
forr(i,0,n)
{
a[i]=m[a[i]];
}
ordered_set <int> s;
int na2s=n-1;
int ans=0;
forr(i,0,n)
{
int x=a[i]-1;
//cout<<x<<' '<<s.order_of_key(x)<<endl;
x-=s.order_of_key(a[i]);
x*=fact[na2s]%mod;
x%=mod;
// cout<<x<<' '<<endl;
ans+=x;
ans%=mod;
s.insert(a[i]);
na2s--;
}
cout<<(ans+1)%mod;
return 0;
}
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