#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 + R) / 2, q = p + 1;
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 |
12 ms |
596 KB |
Output is correct |
2 |
Correct |
13 ms |
596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
624 KB |
Output is correct |
2 |
Correct |
13 ms |
676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
736 KB |
Output is correct |
2 |
Correct |
21 ms |
744 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
852 KB |
Output is correct |
2 |
Correct |
31 ms |
740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
36 ms |
852 KB |
Output is correct |
2 |
Correct |
33 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
70 ms |
1280 KB |
Output is correct |
2 |
Correct |
69 ms |
948 KB |
Output is correct |
3 |
Correct |
39 ms |
972 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
460 ms |
3608 KB |
Output is correct |
2 |
Correct |
407 ms |
2652 KB |
Output is correct |
3 |
Correct |
451 ms |
3412 KB |
Output is correct |
4 |
Correct |
585 ms |
4052 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
758 ms |
4800 KB |
Output is correct |
2 |
Correct |
810 ms |
5648 KB |
Output is correct |
3 |
Correct |
571 ms |
5968 KB |
Output is correct |
4 |
Correct |
650 ms |
5424 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1333 ms |
5892 KB |
Output is correct |
2 |
Correct |
1213 ms |
10600 KB |
Output is correct |
3 |
Correct |
646 ms |
4872 KB |
Output is correct |
4 |
Correct |
1489 ms |
9404 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1578 ms |
14480 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |