#include <bits/stdc++.h>
using namespace std;
const double INF = 1.0 / 0.0;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, k;
cin >> n >> k;
vector< pair<int, int> > states(n);
for (int i = 0; i < n; i++) {
cin >> states[i].second >> states[i].first;
if (states[i].first == -1) states[i].first = 0x3f3f3f3f;
}
sort(states.begin(), states.end());
auto solve = [&](int m) {
vector< vector<double> > dp(n + 1, vector<double>(k - m + 1, INF));
dp[0][0] = 0.0;
for (int i = 0; i < n; i++) {
for (int j = 0; j <= k - m; j++) {
if (j < k - m) dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) states[i].second / (m + 1));
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (i - j >= m ? 0.0 : (double) states[i].first / (i - j + 1)));
}
}
return dp[n][k - m];
};
int l = 0, r = k;
while (l < r - 2) {
//cout << l << ' ' << r << endl;
int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3;
double x1 = solve(m1), x2 = solve(m2);
if (x1 >= x2) l = m1;
if (x1 <= x2) r = m2;
}
double ans = INF;
for (int i = l; i <= r; i++) ans = min(ans, solve(i));
cout << fixed << setprecision(10) << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
2 ms |
532 KB |
Output is correct |
6 |
Correct |
7 ms |
880 KB |
Output is correct |
7 |
Correct |
16 ms |
1300 KB |
Output is correct |
8 |
Correct |
27 ms |
1860 KB |
Output is correct |
9 |
Correct |
40 ms |
2304 KB |
Output is correct |
10 |
Correct |
29 ms |
1724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
2 ms |
532 KB |
Output is correct |
6 |
Correct |
7 ms |
880 KB |
Output is correct |
7 |
Correct |
16 ms |
1300 KB |
Output is correct |
8 |
Correct |
27 ms |
1860 KB |
Output is correct |
9 |
Correct |
40 ms |
2304 KB |
Output is correct |
10 |
Correct |
29 ms |
1724 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
2 ms |
716 KB |
Output is correct |
13 |
Correct |
4 ms |
716 KB |
Output is correct |
14 |
Correct |
6 ms |
780 KB |
Output is correct |
15 |
Correct |
3 ms |
1228 KB |
Output is correct |
16 |
Correct |
11 ms |
1228 KB |
Output is correct |
17 |
Correct |
28 ms |
1480 KB |
Output is correct |
18 |
Correct |
5 ms |
1612 KB |
Output is correct |
19 |
Correct |
25 ms |
1788 KB |
Output is correct |
20 |
Correct |
57 ms |
2132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
2 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
372 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
21 ms |
1612 KB |
Output is correct |
2 |
Correct |
24 ms |
1612 KB |
Output is correct |
3 |
Correct |
15 ms |
1612 KB |
Output is correct |
4 |
Correct |
16 ms |
1612 KB |
Output is correct |
5 |
Correct |
12 ms |
1612 KB |
Output is correct |
6 |
Correct |
35 ms |
1788 KB |
Output is correct |
7 |
Correct |
8 ms |
1612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
2 ms |
532 KB |
Output is correct |
6 |
Correct |
7 ms |
880 KB |
Output is correct |
7 |
Correct |
16 ms |
1300 KB |
Output is correct |
8 |
Correct |
27 ms |
1860 KB |
Output is correct |
9 |
Correct |
40 ms |
2304 KB |
Output is correct |
10 |
Correct |
29 ms |
1724 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
2 ms |
716 KB |
Output is correct |
13 |
Correct |
4 ms |
716 KB |
Output is correct |
14 |
Correct |
6 ms |
780 KB |
Output is correct |
15 |
Correct |
3 ms |
1228 KB |
Output is correct |
16 |
Correct |
11 ms |
1228 KB |
Output is correct |
17 |
Correct |
28 ms |
1480 KB |
Output is correct |
18 |
Correct |
5 ms |
1612 KB |
Output is correct |
19 |
Correct |
25 ms |
1788 KB |
Output is correct |
20 |
Correct |
57 ms |
2132 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
0 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
0 ms |
204 KB |
Output is correct |
48 |
Correct |
0 ms |
204 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
0 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
204 KB |
Output is correct |
52 |
Correct |
1 ms |
204 KB |
Output is correct |
53 |
Correct |
0 ms |
204 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
204 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
0 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
204 KB |
Output is correct |
59 |
Correct |
0 ms |
204 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
0 ms |
204 KB |
Output is correct |
62 |
Correct |
1 ms |
204 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
0 ms |
332 KB |
Output is correct |
65 |
Correct |
1 ms |
332 KB |
Output is correct |
66 |
Correct |
1 ms |
332 KB |
Output is correct |
67 |
Correct |
1 ms |
332 KB |
Output is correct |
68 |
Correct |
1 ms |
332 KB |
Output is correct |
69 |
Correct |
1 ms |
332 KB |
Output is correct |
70 |
Correct |
1 ms |
332 KB |
Output is correct |
71 |
Correct |
2 ms |
332 KB |
Output is correct |
72 |
Correct |
1 ms |
332 KB |
Output is correct |
73 |
Correct |
1 ms |
372 KB |
Output is correct |
74 |
Correct |
1 ms |
332 KB |
Output is correct |
75 |
Correct |
1 ms |
332 KB |
Output is correct |
76 |
Correct |
1 ms |
332 KB |
Output is correct |
77 |
Correct |
1 ms |
332 KB |
Output is correct |
78 |
Correct |
1 ms |
332 KB |
Output is correct |
79 |
Correct |
1 ms |
332 KB |
Output is correct |
80 |
Correct |
1 ms |
332 KB |
Output is correct |
81 |
Correct |
21 ms |
1612 KB |
Output is correct |
82 |
Correct |
24 ms |
1612 KB |
Output is correct |
83 |
Correct |
15 ms |
1612 KB |
Output is correct |
84 |
Correct |
16 ms |
1612 KB |
Output is correct |
85 |
Correct |
12 ms |
1612 KB |
Output is correct |
86 |
Correct |
35 ms |
1788 KB |
Output is correct |
87 |
Correct |
8 ms |
1612 KB |
Output is correct |
88 |
Correct |
2 ms |
512 KB |
Output is correct |
89 |
Correct |
1 ms |
460 KB |
Output is correct |
90 |
Correct |
6 ms |
748 KB |
Output is correct |
91 |
Correct |
2 ms |
588 KB |
Output is correct |
92 |
Correct |
12 ms |
984 KB |
Output is correct |
93 |
Correct |
5 ms |
972 KB |
Output is correct |
94 |
Correct |
19 ms |
1400 KB |
Output is correct |
95 |
Correct |
9 ms |
1228 KB |
Output is correct |
96 |
Correct |
18 ms |
1484 KB |
Output is correct |
97 |
Correct |
13 ms |
1484 KB |
Output is correct |
98 |
Correct |
28 ms |
1452 KB |
Output is correct |
99 |
Correct |
26 ms |
1644 KB |
Output is correct |
100 |
Correct |
17 ms |
1372 KB |
Output is correct |
101 |
Correct |
12 ms |
1228 KB |
Output is correct |
102 |
Correct |
9 ms |
1228 KB |
Output is correct |
103 |
Correct |
6 ms |
1228 KB |
Output is correct |
104 |
Correct |
11 ms |
1228 KB |
Output is correct |
105 |
Correct |
25 ms |
1824 KB |
Output is correct |