#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
vector<double> b(n);
b[0] = a[0];
for (int i = 1; i < n; i++) {
b[i] = b[i - 1] + a[i];
}
auto Get = [&](int l, int r) {
double s = b[r];
if (l > 0) {
s -= b[l - 1];
}
return s / (r - l + 1);
};
double c = Get(0, n - 1);
vector<double> L(n);
vector<double> R(n);
for (int i = 1; i < n; i++) {
{
int l = 0, r = n - i, pos = -1;
while (l <= r) {
int mid = l + r >> 1;
if (Get(mid, mid + i - 1) <= c) {
pos = mid;
l = mid + 1;
} else {
r = mid - 1;
}
}
if (pos == -1) {
L[i] = -1;
} else {
L[i] = Get(pos, pos + i - 1);
}
}
{
int l = 0, r = n - i, pos = -1;
while (l <= r) {
int mid = l + r >> 1;
if (Get(mid, mid + i - 1) >= c) {
pos = mid;
r = mid - 1;
} else {
l = mid + 1;
}
}
if (pos == -1) {
R[i] = 2e9;
} else {
R[i] = Get(pos, pos + i - 1);
}
}
}
// for (int i = 1; i < n; i++) {
// cout << fixed << setprecision(10) << L[i] << " " << R[i] << '\n';
// }
vector<int> order(n);
iota(order.begin(), order.end(), 0);
order.erase(order.begin());
sort(order.begin(), order.end(), [&](int i, int j) {
return L[i] < L[j];
});
multiset<double> st;
st.insert(c);
double ans = c - *min_element(L.begin() + 1, L.end());
for (int i : order) {
ans = min(ans, *prev(st.end()) - L[i]);
st.insert(R[i]);
}
ans = min(ans, *prev(st.end()) - c);
cout << fixed << setprecision(10) << ans << '\n';
return 0;
}
Compilation message
seesaw.cpp: In function 'int main()':
seesaw.cpp:33:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
33 | int mid = l + r >> 1;
| ~~^~~
seesaw.cpp:50:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
50 | int mid = l + r >> 1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
90 ms |
17912 KB |
Output is correct |
13 |
Correct |
97 ms |
17924 KB |
Output is correct |
14 |
Correct |
92 ms |
17856 KB |
Output is correct |
15 |
Correct |
89 ms |
17924 KB |
Output is correct |
16 |
Correct |
88 ms |
17860 KB |
Output is correct |