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;
map<int,int>mp;
long long fact[300005];
long long a[300005],b[300005],seg[300005*4];
long long query(long long n,long long l,long long r,long long ql,long long qr)
{
if(l>r || ql>qr || r<ql || l>qr)return 0;
if(ql<=l && r<=qr)return seg[n];
return query(2*n,l,(l+r)/2,ql,qr)+query(2*n+1,(l+r)/2+1,r,ql,qr);
}
void update(long long n,long long l,long long r,long long pos)
{
if(l>r || r<pos || l>pos)return;
if(l==r){seg[n]=1;return;}
update(2*n,l,(l+r)/2,pos),update(2*n+1,(l+r)/2+1,r,pos);
seg[n]=seg[2*n]+seg[2*n+1];
}
void fac(long long n)
{
fact[0]=1;
for(long long i=1;i<=300004;i++)
fact[i]=(i*fact[i-1])%1000000007;
}
int main()
{
fac(300004);
long long n;
cin>>n;
for(long long i=0;i<n;i++)
{
cin>>a[i];
b[i]=a[i];
}
sort(b,b+n);
for(long long i=1;i<=n;i++)
mp[b[i-1]]=i;
long long cavab=1;
for(long long i=0;i<n;i++)
{
//cout<<fact[n-i-1]<<" "<<query(1,1,n,1,mp[a[i]])+1<<endl;
long long sira=mp[a[i]]-query(1,1,n,1,mp[a[i]]);
cavab+=(fact[n-i-1]*(sira-1))%1000000007;
cavab%=1000000007;
update(1,1,n,mp[a[i]]);
}
cout<<cavab;
return 0;
}
/*
4!*(1-1)+3!(4-1)+2!(1-1)+1!(2-1)+0!(1-1)+1=18+1+1=20;
*/
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