#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define sz(x) (int)size(x)
#define all(x) (x).begin(), (x).end()
constexpr double inf = 1e18;
double pmin(double &a, double b){
return a = min(a, b);
}
int main(){
cin.tie(0)->sync_with_stdio(false);
int n, k;
cin >> n >> k;
vector<double> a(n), b(n);
for(int i = 0; i < n; i++) cin >> a[i] >> b[i];
{
vector<int> ord(n);
for(int i = 0; i < n; i++) ord[i] = i;
sort(all(ord), [&](int i, int j){return b[i] < b[j];});
vector<double> a2(n), b2(n);
for(int i = 0; i < n; i++) a2[i] = a[ord[i]], b2[i] = b[ord[i]];
a = a2, b = b2;
}
double ans = inf;
for(int l = 0; l <= k; l++){
vector<vector<double>> dp(l+1, vector<double>(k-l+1, inf));
dp[0][0] = 0;
for(int i = 0; i < n; i++){
auto dp2 = dp;
for(int j = 0; j <= l; j++){
for(int h = 0; h <= k-l; h++){
if(j < l && b[i] > 0) pmin(dp2[j+1][h], dp[j][h] + b[i] / (1+j));
if(h < k-l) pmin(dp2[j][h+1], dp[j][h] + a[i] / (1+l));
}
}
swap(dp, dp2);
}
ans = min(ans, dp[l][k-l]);
}
cout << setprecision(6) << fixed << ans << "\n";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
33 ms |
520 KB |
Output is correct |
| 6 |
Correct |
364 ms |
840 KB |
Output is correct |
| 7 |
Correct |
2317 ms |
856 KB |
Output is correct |
| 8 |
Execution timed out |
2543 ms |
1000 KB |
Time limit exceeded |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
33 ms |
520 KB |
Output is correct |
| 6 |
Correct |
364 ms |
840 KB |
Output is correct |
| 7 |
Correct |
2317 ms |
856 KB |
Output is correct |
| 8 |
Execution timed out |
2543 ms |
1000 KB |
Time limit exceeded |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
604 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
604 KB |
Output is correct |
| 16 |
Correct |
0 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
452 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
0 ms |
456 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
0 ms |
348 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
0 ms |
348 KB |
Output is correct |
| 29 |
Correct |
0 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
344 KB |
Output is correct |
| 32 |
Correct |
0 ms |
456 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
0 ms |
344 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
0 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
344 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
0 ms |
348 KB |
Output is correct |
| 40 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
604 KB |
Output is correct |
| 16 |
Correct |
0 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
452 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
0 ms |
456 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
0 ms |
348 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
0 ms |
348 KB |
Output is correct |
| 29 |
Correct |
0 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
344 KB |
Output is correct |
| 32 |
Correct |
0 ms |
456 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
0 ms |
344 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
0 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
344 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
0 ms |
348 KB |
Output is correct |
| 40 |
Correct |
0 ms |
348 KB |
Output is correct |
| 41 |
Correct |
1 ms |
348 KB |
Output is correct |
| 42 |
Correct |
1 ms |
348 KB |
Output is correct |
| 43 |
Correct |
2 ms |
348 KB |
Output is correct |
| 44 |
Correct |
2 ms |
348 KB |
Output is correct |
| 45 |
Correct |
10 ms |
348 KB |
Output is correct |
| 46 |
Correct |
9 ms |
532 KB |
Output is correct |
| 47 |
Correct |
19 ms |
540 KB |
Output is correct |
| 48 |
Correct |
21 ms |
344 KB |
Output is correct |
| 49 |
Correct |
36 ms |
604 KB |
Output is correct |
| 50 |
Correct |
32 ms |
600 KB |
Output is correct |
| 51 |
Correct |
59 ms |
604 KB |
Output is correct |
| 52 |
Correct |
56 ms |
624 KB |
Output is correct |
| 53 |
Correct |
19 ms |
348 KB |
Output is correct |
| 54 |
Correct |
19 ms |
344 KB |
Output is correct |
| 55 |
Correct |
18 ms |
540 KB |
Output is correct |
| 56 |
Correct |
20 ms |
468 KB |
Output is correct |
| 57 |
Correct |
18 ms |
348 KB |
Output is correct |
| 58 |
Correct |
19 ms |
548 KB |
Output is correct |
| 59 |
Correct |
18 ms |
348 KB |
Output is correct |
| 60 |
Correct |
22 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2542 ms |
1056 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
33 ms |
520 KB |
Output is correct |
| 6 |
Correct |
364 ms |
840 KB |
Output is correct |
| 7 |
Correct |
2317 ms |
856 KB |
Output is correct |
| 8 |
Execution timed out |
2543 ms |
1000 KB |
Time limit exceeded |
| 9 |
Halted |
0 ms |
0 KB |
- |
