#include <bits/stdc++.h>
using namespace std;
#define double long double
#define maxn 100010
int n;
vector<double> a, b;
double apref[maxn];
double bpref[maxn];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
double ca, cb;
for (int i = 1; i <= n; i++) {
cin >> ca >> cb;
a.push_back(ca);
b.push_back(cb);
}
sort(a.begin(), a.end());
sort(b.begin(), b.end());
reverse(a.begin(), a.end());
reverse(b.begin(), b.end());
double ans = 0;
for (int i = 1; i <= n; i++) {
apref[i] = apref[i-1] + a[i-1];
bpref[i] = bpref[i-1] + b[i-1];
}
for (int i = 1; i <= n; i++) {
double aprof = apref[i] - i;
int lo = 1;
int hi = n;
//binary search to find first index such that b profit is greater than a profit
if (bpref[n] - i - n < aprof - n) {
ans = max(ans, bpref[n] - i - n);
continue;
}
while (lo < hi) {
int mid = (lo + hi)/2;
if (bpref[mid] - i - mid < aprof - mid) {
//did not go far enough
lo = mid+1;
}
else hi = mid;
}
ans = max(ans, bpref[lo-1] - (lo-1) - i);
ans = max(ans, aprof - lo);
}
cout << fixed << setprecision(4);
cout << ans << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
348 KB |
Output is correct |
| 2 |
Correct |
2 ms |
380 KB |
Output is correct |
| 3 |
Correct |
2 ms |
440 KB |
Output is correct |
| 4 |
Correct |
2 ms |
440 KB |
Output is correct |
| 5 |
Correct |
2 ms |
508 KB |
Output is correct |
| 6 |
Correct |
2 ms |
524 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
348 KB |
Output is correct |
| 2 |
Correct |
2 ms |
380 KB |
Output is correct |
| 3 |
Correct |
2 ms |
440 KB |
Output is correct |
| 4 |
Correct |
2 ms |
440 KB |
Output is correct |
| 5 |
Correct |
2 ms |
508 KB |
Output is correct |
| 6 |
Correct |
2 ms |
524 KB |
Output is correct |
| 7 |
Correct |
2 ms |
528 KB |
Output is correct |
| 8 |
Correct |
3 ms |
752 KB |
Output is correct |
| 9 |
Correct |
2 ms |
752 KB |
Output is correct |
| 10 |
Correct |
2 ms |
752 KB |
Output is correct |
| 11 |
Correct |
2 ms |
752 KB |
Output is correct |
| 12 |
Correct |
3 ms |
764 KB |
Output is correct |
| 13 |
Correct |
3 ms |
892 KB |
Output is correct |
| 14 |
Correct |
3 ms |
924 KB |
Output is correct |
| 15 |
Correct |
3 ms |
956 KB |
Output is correct |
| 16 |
Correct |
3 ms |
972 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
348 KB |
Output is correct |
| 2 |
Correct |
2 ms |
380 KB |
Output is correct |
| 3 |
Correct |
2 ms |
440 KB |
Output is correct |
| 4 |
Correct |
2 ms |
440 KB |
Output is correct |
| 5 |
Correct |
2 ms |
508 KB |
Output is correct |
| 6 |
Correct |
2 ms |
524 KB |
Output is correct |
| 7 |
Correct |
2 ms |
528 KB |
Output is correct |
| 8 |
Correct |
3 ms |
752 KB |
Output is correct |
| 9 |
Correct |
2 ms |
752 KB |
Output is correct |
| 10 |
Correct |
2 ms |
752 KB |
Output is correct |
| 11 |
Correct |
2 ms |
752 KB |
Output is correct |
| 12 |
Correct |
3 ms |
764 KB |
Output is correct |
| 13 |
Correct |
3 ms |
892 KB |
Output is correct |
| 14 |
Correct |
3 ms |
924 KB |
Output is correct |
| 15 |
Correct |
3 ms |
956 KB |
Output is correct |
| 16 |
Correct |
3 ms |
972 KB |
Output is correct |
| 17 |
Correct |
136 ms |
8640 KB |
Output is correct |
| 18 |
Correct |
132 ms |
10052 KB |
Output is correct |
| 19 |
Correct |
136 ms |
11500 KB |
Output is correct |
| 20 |
Correct |
128 ms |
12880 KB |
Output is correct |
| 21 |
Correct |
142 ms |
14524 KB |
Output is correct |
| 22 |
Correct |
134 ms |
15984 KB |
Output is correct |
| 23 |
Correct |
134 ms |
17324 KB |
Output is correct |
| 24 |
Correct |
148 ms |
18876 KB |
Output is correct |
| 25 |
Correct |
135 ms |
20008 KB |
Output is correct |
| 26 |
Correct |
140 ms |
21740 KB |
Output is correct |
