#include <bits/stdc++.h>
using namespace std;
int cn = 0;
#define int long long
struct lol{
long long sum[600001] = {0},cnt[600001] = {0};
void addSum(int e,int v){
while(e<=cn){
sum[e]+=v;
e+=e&-e;
}
}void addcnt(int e,int v){
while(e<=cn){
cnt[e]+=v;
e+=e&-e;
}
}long long querysum(int e){
long long res = 0;
while(e>=1){
res+=sum[e];
e-=e&-e;
}
return res;
}long long querycnt(int e){
long long res = 0;
while(e>=1){
res+=cnt[e];
e-=e&-e;
}
return res;
}
}pref,suf;
signed main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int n;
cin>>n;
long long arr[n];
for(int i = 0;i<n;i++){
cin>>arr[i];
}
long long rev[n*3+1] = {0};
map<int,int> sav;set<int> comp;
vector<int> re,dr;
for(int i = 0;i<n;i++){comp.insert(arr[i]-i);comp.insert(arr[i]+i);re.push_back(arr[i]+i);dr.push_back(arr[i]-i);dr.push_back(max(i+1,(n-i))-i);comp.insert(max(i+1,(n-i))-i);}
for(auto i:comp){
sav[i] = ++cn;
rev[cn] = i;
}
long long val[n] = {0};
for(int i = 0;i<n;i++){
suf.addSum(sav[arr[i]+i],arr[i]+i);
suf.addcnt(sav[arr[i]+i],1);
}
sort(re.begin(),re.end());
sort(dr.begin(),dr.end());
long long mi = 2e18;
for(int i = 0;i<n;i++){
suf.addSum(sav[arr[i]+i],-(arr[i]+i));
suf.addcnt(sav[arr[i]+i],-1);
pref.addSum(sav[arr[i]-i],arr[i]-i);
pref.addcnt(sav[arr[i]-i],1);
int ze = max(i+1,(n-i))-i;
int l = 1, r = cn , ans = 1e9;
l = lower_bound(dr.begin(),dr.end(),ze)-dr.begin();
l = sav[dr[l]];
while(l<=r){
int mid = (l+r)/2;
int it = upper_bound(re.begin(),re.end(),rev[mid]+2*i)-re.begin()-1;
if(pref.querycnt(mid)+(it>=0?suf.querycnt(sav[re[it]]):0)>=(n+1)/2){
ans = mid;
r = mid-1;
}else l = mid+1;
}
//cout<<rev[ans]<<" "<<pref.querycnt(ans)+suf.querycnt(ans+2*i)<<endl;
long long CNT = pref.querycnt(ans) , SUM = pref.querysum(ans);
long long lo = 0;
lo+=(rev[ans])*CNT-SUM;
CNT = pref.querycnt(cn)-CNT;
SUM = pref.querysum(cn)-SUM;
lo+=SUM-rev[ans]*CNT;
//cout<<lo<<endl;
int it = lower_bound(re.begin(),re.end(),rev[ans]+2*i+1)-re.begin()-1;
int de = (it>=0?sav[re[it]]:0);
CNT = suf.querycnt(de) , SUM = suf.querysum(de);
lo+=(rev[ans]+2*i)*CNT-SUM;
CNT = suf.querycnt(cn)-CNT;
SUM = suf.querysum(cn)-SUM;
lo+=SUM-(rev[ans]+2*i)*CNT;
//cout<<lo<<endl;
mi = min(mi,lo);
}
cout<<mi<<endl;
}
/*
4 5 7 2 2
pref : 4 4 5 -1 -2
suf : 4 6 9 5 6
rev[ans]+2*i
1: 5
2 , 3 , 4 , 5 : 3
*/
Compilation message
krov.cpp: In function 'int main()':
krov.cpp:49:15: warning: unused variable 'val' [-Wunused-variable]
49 | long long val[n] = {0};
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
6748 KB |
Output is correct |
2 |
Correct |
3 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
6748 KB |
Output is correct |
2 |
Correct |
3 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7000 KB |
Output is correct |
2 |
Correct |
5 ms |
7004 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7260 KB |
Output is correct |
2 |
Correct |
5 ms |
7140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
7256 KB |
Output is correct |
2 |
Correct |
7 ms |
7260 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
8284 KB |
Output is correct |
2 |
Correct |
12 ms |
7516 KB |
Output is correct |
3 |
Correct |
7 ms |
7516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
103 ms |
15932 KB |
Output is correct |
2 |
Correct |
93 ms |
14700 KB |
Output is correct |
3 |
Correct |
109 ms |
15820 KB |
Output is correct |
4 |
Correct |
141 ms |
17520 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
177 ms |
19904 KB |
Output is correct |
2 |
Correct |
208 ms |
21700 KB |
Output is correct |
3 |
Correct |
158 ms |
23724 KB |
Output is correct |
4 |
Correct |
137 ms |
23304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
273 ms |
23596 KB |
Output is correct |
2 |
Correct |
292 ms |
36324 KB |
Output is correct |
3 |
Correct |
158 ms |
19100 KB |
Output is correct |
4 |
Correct |
359 ms |
31668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
559 ms |
47288 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |