#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
const ld inf = 1e16;
int n, k;
const int MAXN = 501;
pair <int, int> a[MAXN];
int main () {
cin >> n >> k;
for (int i = 1; i <= n; i++) cin >> a[i].first >> a[i].second;
cout << fixed << setprecision(9);
sort(a + 1, a + n + 1, [&] (pair <int, int> &x, pair <int, int> &y) {
return x.second < y.second;
});
ld mn = 1e18;
for (int sze = 0; sze <= k; sze++) {
ld dp[2][sze + 1][k - sze + 1];
for (int j = 0; j <= sze; j++) {
for (int z = 0; z <= k - sze; z++) {
dp[0][j][z] = inf;
}
}
dp[0][0][0] = 0;
for (int i = 1, c = 1; i <= n; i++, c ^= 1) {
for (int j = 0; j <= sze; j++) {
for (int l = 0; l <= k - sze; l++) {
dp[c][j][l] = dp[c ^ 1][j][l];
if (j && a[i].second != -1) {
dp[c][j][l] = min(dp[c][j][l], dp[c ^ 1][j - 1][l] + 1.0 * a[i].second / j);
}
if (l) {
dp[c][j][l] = min(dp[c][j][l], dp[c ^ 1][j][l - 1] + 1.0 * a[i].first / (sze + 1));
}
}
}
}
mn = min(mn, dp[n & 1][sze][k - sze]);
}
cout << mn << '\n';
}
| # |
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 |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
102 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1566 ms |
724 KB |
Output is correct |
| 7 |
Execution timed out |
2554 ms |
948 KB |
Time limit exceeded |
| 8 |
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 |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
102 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1566 ms |
724 KB |
Output is correct |
| 7 |
Execution timed out |
2554 ms |
948 KB |
Time limit exceeded |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
360 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
444 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
388 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 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 |
360 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
444 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
388 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
596 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
344 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
1 ms |
348 KB |
Output is correct |
| 26 |
Correct |
1 ms |
444 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
1 ms |
348 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
348 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
1 ms |
592 KB |
Output is correct |
| 40 |
Correct |
1 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 |
360 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
444 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
388 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
596 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
344 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
1 ms |
348 KB |
Output is correct |
| 26 |
Correct |
1 ms |
444 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
1 ms |
348 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
348 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
1 ms |
592 KB |
Output is correct |
| 40 |
Correct |
1 ms |
348 KB |
Output is correct |
| 41 |
Correct |
1 ms |
348 KB |
Output is correct |
| 42 |
Correct |
1 ms |
352 KB |
Output is correct |
| 43 |
Correct |
7 ms |
348 KB |
Output is correct |
| 44 |
Correct |
8 ms |
444 KB |
Output is correct |
| 45 |
Correct |
35 ms |
348 KB |
Output is correct |
| 46 |
Correct |
28 ms |
352 KB |
Output is correct |
| 47 |
Correct |
65 ms |
448 KB |
Output is correct |
| 48 |
Correct |
60 ms |
444 KB |
Output is correct |
| 49 |
Correct |
118 ms |
460 KB |
Output is correct |
| 50 |
Correct |
110 ms |
348 KB |
Output is correct |
| 51 |
Correct |
232 ms |
344 KB |
Output is correct |
| 52 |
Correct |
221 ms |
484 KB |
Output is correct |
| 53 |
Correct |
70 ms |
448 KB |
Output is correct |
| 54 |
Correct |
64 ms |
444 KB |
Output is correct |
| 55 |
Correct |
66 ms |
448 KB |
Output is correct |
| 56 |
Correct |
65 ms |
444 KB |
Output is correct |
| 57 |
Correct |
64 ms |
344 KB |
Output is correct |
| 58 |
Correct |
66 ms |
444 KB |
Output is correct |
| 59 |
Correct |
64 ms |
344 KB |
Output is correct |
| 60 |
Correct |
78 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2556 ms |
952 KB |
Time limit exceeded |
| 2 |
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 |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
102 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1566 ms |
724 KB |
Output is correct |
| 7 |
Execution timed out |
2554 ms |
948 KB |
Time limit exceeded |
| 8 |
Halted |
0 ms |
0 KB |
- |
