This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define mp make_pair
#define pb push_back
#define a first
#define b second
#define endl '\n'
llo n;
llo it[200001];
int tree2[200001];
void u(int i,int j){
while(i<=n){
tree2[i]+=j;
i+=(i&-i);
}
}
int ss2(int i){
int su=0;
while(i>0){
su+=tree2[i];
i-=(i&-i);
}
return su;
}
int tree[4*200001];
void build(int no,int l,int r){
if(l==r){
tree[no]=it[l];
}
else{
int mid=(l+r)/2;
build(no*2+1,l,mid);
build(no*2+2,mid+1,r);
tree[no]=max(tree[no*2+1],tree[no*2+2]);
}
}
void update(int no,int l,int r,int i){
if(l==r){
tree[no]=-1;
}
else{
int mid=(l+r)/2;
if(i<=mid){
update(no*2+1,l,mid,i);
}
else{
update(no*2+2,mid+1,r,i);
}
tree[no]=max(tree[no*2+1],tree[no*2+2]);
}
}
int query(int no,int l,int r,int i){
if(l==r){
return l;
}
int mid=(l+r)/2;
if(tree[no*2+2]>=i){
return query(no*2+2,mid+1,r,i);
}
else{
return query(no*2+1,l,mid,i);
}
/*if(bb<l or r<aa){
return -1;
}
if(aa<=l and r<=bb){
return tree[no];
}
int mid=(l+r)/2;
return max(query(no*2+1,l,mid,aa,bb),query(no*2+2,mid+1,r,aa,bb));*/
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin>>n;
vector<llo> ss;
set<llo> tt;
for(llo i=0;i<n;i++){
cin>>it[i];
it[i]--;
tt.insert(it[i]);
ss.pb(it[i]);
}
sort(ss.begin(),ss.end());
for(llo i=0;i<n;i++){
if(ss[i]<i){
cout<<-1<<endl;
return 0;
}
}
build(0,0,n-1);
for(int i=1;i<=n;i++){
u(i,1);
}
llo ans=0;
for(llo i=n-1;i>=0;i--){
//llo ind=n;
//continue;
llo ind=query(0,0,n-1,i);
/*for(int j=19;j>=0;j--){
if(ind-(1<<j)>=0){
//cout<<ind-(1<<j)<<":"<<query(0,0,n-1,ind-(1<<j),n-1)<<endl;
if(query(0,0,n-1,ind-(1<<j),n-1)>=i){
}
else{
//cout<<11<<endl;
ind-=(1<<j);
}
}
}*/
//ind--;
//cout<<ind<<":"<<endl;
//break;
ans+=ss2(n)-ss2(ind+1);
update(0,0,n-1,ind);
u(ind+1,-1);
//cout<<ind<<":"<<endl;
//break;
/*for(llo j=0;j<=i;j++){
if(it[j]==i){
ind=j;
}
}
for(llo j=ind;j<i;j++){
ans+=1;
swap(it[j],it[j+1]);
}
for(llo j=0;j<n;j++){
it[j]=min(it[j],i-1);
}*/
}
cout<<ans<<endl;
return 0;
/* for(llo i=0;i<n;i++){
cout<<it[i]<<",";
}
cout<<endl;
*/
/*llo ans=0;
for(auto j:tt){
llo ind=-1;
//cout<<j<<endl;
while(true){
llo st=0;
for(llo i=max((llo)0,ind);i<n;i++){
if(it[i]==j and i>j){
ind=i;
st=1;
break;
}
}
if(st==0){
break;
}
llo ind2=-1;
for(llo i=ind;i>=0;i--){
if(it[i]>j){
ind2=i;
break;
}
}
for(llo i=ind2;i<ind;i++){
swap(it[i],it[i+1]);
ans+=1;
}
ind-=1;
}
}*/
cout<<ans<<endl;
/*while(true){
if(ind==-1){
break;
}
for(llo i=ind;i>it[ind];i--){
swap(it[i],it[i-1]);
ans++;
}
cout<<ind<<endl;
for(llo i=0;i<n;i++){
cout<<it[i]<<":";
}
cout<<endl;
break;
}
cout<<ans<<endl;
*/
return 0;
}
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