#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll N;
ll A[100005];
ll B[100005];
ll C[100005];
struct BIT{
ll T[300015] = {};
void update(ll k, ll v){while(k <= 300010) T[k] += v, k += k & -k;}
ll sum(ll k){ll r = 0;while(k >= 1) r += T[k], k -= k & -k; return r;}
ll query(ll l, ll r) {return sum(r) - sum(l - 1);}
};
BIT pfs, pfc, sfs, sfc;
vector<ll> V;
const ll INF = 1e10;
ll Idx1(ll k){
return lower_bound(V.begin(), V.end(), k) - V.begin();
}
ll Idx2(ll k){
return upper_bound(V.begin(), V.end(), k) - V.begin() - 1;
}
ll f(ll X, ll K){
ll r = 0;
K -= X;
r += K * pfc.query(Idx1(-INF), Idx2(K)) - pfs.query(Idx1(-INF), Idx2(K));
r += pfs.query(Idx1(K + 1), Idx2(INF)) - K * pfc.query(Idx1(K + 1), Idx2(INF));
K += 2 * X;
r += K * sfc.query(Idx1(-INF), Idx2(K)) - sfs.query(Idx1(-INF), Idx2(K));
r += sfs.query(Idx1(K + 1), Idx2(INF)) - K * sfc.query(Idx1(K + 1), Idx2(INF));
return r;
}
int main(){
cin.tie(0) -> sync_with_stdio(false);
V.push_back(-INF - 1);
V.push_back(-INF);
V.push_back(INF);
cin >> N;
for(ll i = 1; i <= N; i++){
cin >> A[i];
B[i] = A[i] + i;
C[i] = A[i] - i;
V.push_back(A[i]); V.push_back(B[i]); V.push_back(C[i]);
}
sort(V.begin(), V.end());
V.erase(unique(V.begin(), V.end()), V.end());
ll ans = 1e18;
for(ll i = 1; i <= N; i++){
sfs.update(Idx1(B[i]), B[i]);
sfc.update(Idx1(B[i]), 1);
}
for(ll i = 1; i <= N; i++){
pfs.update(Idx1(C[i]), C[i]);
pfc.update(Idx1(C[i]), 1);
sfs.update(Idx1(B[i]), -B[i]);
sfc.update(Idx1(B[i]), -1);
ll L = 0, R = 2e9;
while(R - L > 10){
ll p = (L * 2 + R) / 3, q = (L + R * 2) / 3;
if(f(i, p) <= f(i, q)) R = q;
else L = p;
}
L = max(L, i);
L = max(L, N + 1 - i);
for(ll j = L; j <= R; j++){
ans = min(ans, f(i, j));
}
}
cout << ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
596 KB |
Output is correct |
2 |
Correct |
22 ms |
660 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
632 KB |
Output is correct |
2 |
Correct |
30 ms |
584 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
724 KB |
Output is correct |
2 |
Correct |
37 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
44 ms |
852 KB |
Output is correct |
2 |
Correct |
56 ms |
756 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
852 KB |
Output is correct |
2 |
Correct |
55 ms |
852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
102 ms |
1280 KB |
Output is correct |
2 |
Correct |
125 ms |
1032 KB |
Output is correct |
3 |
Correct |
63 ms |
880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
843 ms |
3480 KB |
Output is correct |
2 |
Correct |
713 ms |
2632 KB |
Output is correct |
3 |
Correct |
773 ms |
3492 KB |
Output is correct |
4 |
Correct |
1052 ms |
4048 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1330 ms |
4940 KB |
Output is correct |
2 |
Correct |
1392 ms |
6100 KB |
Output is correct |
3 |
Correct |
1105 ms |
6344 KB |
Output is correct |
4 |
Correct |
1077 ms |
5860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1576 ms |
5824 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1583 ms |
14456 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |