#include <bits/stdc++.h>
using namespace std;
#define a second
#define b first
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n, k; cin >> n >> k;
vector<pair<int, int> > st(n);
for (int i = 0; i < n; ++i) {
cin >> st[i].a >> st[i].b;
if (st[i].b == -1) st[i].b = 1'000'000'000;
}
sort(begin(st), end(st));
double ans = 1e18;
for (int x = 0; x < k + 1; x++) {
vector< vector<double> > dp(n + 1, vector<double>(k - x + 1, 1e18));
dp[0][0] = 0;
for (int i = 0; i < n; ++i)
for (int j = 0; j < k - x + 1; ++j) {
if (j < k - x) dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) st[i].a / (x + 1));
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (i - j < x ? (double) st[i].b / (i - j + 1) : .0));
}
ans = min(ans, dp[n][k - x]);
}
cout << setprecision(9) << fixed << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
3 ms |
524 KB |
Output is correct |
6 |
Correct |
15 ms |
832 KB |
Output is correct |
7 |
Correct |
61 ms |
1316 KB |
Output is correct |
8 |
Correct |
152 ms |
2008 KB |
Output is correct |
9 |
Correct |
271 ms |
2300 KB |
Output is correct |
10 |
Correct |
124 ms |
1676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
3 ms |
524 KB |
Output is correct |
6 |
Correct |
15 ms |
832 KB |
Output is correct |
7 |
Correct |
61 ms |
1316 KB |
Output is correct |
8 |
Correct |
152 ms |
2008 KB |
Output is correct |
9 |
Correct |
271 ms |
2300 KB |
Output is correct |
10 |
Correct |
124 ms |
1676 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
22 ms |
892 KB |
Output is correct |
13 |
Correct |
25 ms |
1036 KB |
Output is correct |
14 |
Correct |
23 ms |
916 KB |
Output is correct |
15 |
Correct |
125 ms |
1700 KB |
Output is correct |
16 |
Correct |
128 ms |
1704 KB |
Output is correct |
17 |
Correct |
126 ms |
1716 KB |
Output is correct |
18 |
Correct |
293 ms |
2308 KB |
Output is correct |
19 |
Correct |
272 ms |
2312 KB |
Output is correct |
20 |
Correct |
278 ms |
2308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
316 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
316 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
316 KB |
Output is correct |
21 |
Correct |
1 ms |
320 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
320 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
316 KB |
Output is correct |
33 |
Correct |
1 ms |
316 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
216 KB |
Output is correct |
40 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
316 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
316 KB |
Output is correct |
21 |
Correct |
1 ms |
320 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
320 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
316 KB |
Output is correct |
33 |
Correct |
1 ms |
316 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
216 KB |
Output is correct |
40 |
Correct |
1 ms |
316 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
324 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
2 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
320 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
2 ms |
340 KB |
Output is correct |
50 |
Correct |
2 ms |
340 KB |
Output is correct |
51 |
Correct |
2 ms |
468 KB |
Output is correct |
52 |
Correct |
2 ms |
468 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
2 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
324 KB |
Output is correct |
58 |
Correct |
1 ms |
324 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
272 ms |
2296 KB |
Output is correct |
2 |
Correct |
278 ms |
2316 KB |
Output is correct |
3 |
Correct |
273 ms |
2316 KB |
Output is correct |
4 |
Correct |
272 ms |
2308 KB |
Output is correct |
5 |
Correct |
271 ms |
2308 KB |
Output is correct |
6 |
Correct |
304 ms |
2308 KB |
Output is correct |
7 |
Correct |
279 ms |
2296 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
3 ms |
524 KB |
Output is correct |
6 |
Correct |
15 ms |
832 KB |
Output is correct |
7 |
Correct |
61 ms |
1316 KB |
Output is correct |
8 |
Correct |
152 ms |
2008 KB |
Output is correct |
9 |
Correct |
271 ms |
2300 KB |
Output is correct |
10 |
Correct |
124 ms |
1676 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
22 ms |
892 KB |
Output is correct |
13 |
Correct |
25 ms |
1036 KB |
Output is correct |
14 |
Correct |
23 ms |
916 KB |
Output is correct |
15 |
Correct |
125 ms |
1700 KB |
Output is correct |
16 |
Correct |
128 ms |
1704 KB |
Output is correct |
17 |
Correct |
126 ms |
1716 KB |
Output is correct |
18 |
Correct |
293 ms |
2308 KB |
Output is correct |
19 |
Correct |
272 ms |
2312 KB |
Output is correct |
20 |
Correct |
278 ms |
2308 KB |
Output is correct |
21 |
Correct |
0 ms |
316 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
316 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
320 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
316 KB |
Output is correct |
41 |
Correct |
1 ms |
320 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
320 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
316 KB |
Output is correct |
53 |
Correct |
1 ms |
316 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
216 KB |
Output is correct |
60 |
Correct |
1 ms |
316 KB |
Output is correct |
61 |
Correct |
1 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
324 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
2 ms |
340 KB |
Output is correct |
66 |
Correct |
1 ms |
320 KB |
Output is correct |
67 |
Correct |
1 ms |
340 KB |
Output is correct |
68 |
Correct |
1 ms |
340 KB |
Output is correct |
69 |
Correct |
2 ms |
340 KB |
Output is correct |
70 |
Correct |
2 ms |
340 KB |
Output is correct |
71 |
Correct |
2 ms |
468 KB |
Output is correct |
72 |
Correct |
2 ms |
468 KB |
Output is correct |
73 |
Correct |
1 ms |
340 KB |
Output is correct |
74 |
Correct |
1 ms |
340 KB |
Output is correct |
75 |
Correct |
1 ms |
340 KB |
Output is correct |
76 |
Correct |
2 ms |
340 KB |
Output is correct |
77 |
Correct |
1 ms |
324 KB |
Output is correct |
78 |
Correct |
1 ms |
324 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
2 ms |
340 KB |
Output is correct |
81 |
Correct |
272 ms |
2296 KB |
Output is correct |
82 |
Correct |
278 ms |
2316 KB |
Output is correct |
83 |
Correct |
273 ms |
2316 KB |
Output is correct |
84 |
Correct |
272 ms |
2308 KB |
Output is correct |
85 |
Correct |
271 ms |
2308 KB |
Output is correct |
86 |
Correct |
304 ms |
2308 KB |
Output is correct |
87 |
Correct |
279 ms |
2296 KB |
Output is correct |
88 |
Correct |
5 ms |
524 KB |
Output is correct |
89 |
Correct |
3 ms |
544 KB |
Output is correct |
90 |
Correct |
17 ms |
1012 KB |
Output is correct |
91 |
Correct |
15 ms |
840 KB |
Output is correct |
92 |
Correct |
62 ms |
1316 KB |
Output is correct |
93 |
Correct |
61 ms |
1324 KB |
Output is correct |
94 |
Correct |
153 ms |
1792 KB |
Output is correct |
95 |
Correct |
146 ms |
1816 KB |
Output is correct |
96 |
Correct |
214 ms |
2112 KB |
Output is correct |
97 |
Correct |
254 ms |
2100 KB |
Output is correct |
98 |
Correct |
128 ms |
1700 KB |
Output is correct |
99 |
Correct |
125 ms |
1732 KB |
Output is correct |
100 |
Correct |
125 ms |
1716 KB |
Output is correct |
101 |
Correct |
127 ms |
1732 KB |
Output is correct |
102 |
Correct |
129 ms |
1720 KB |
Output is correct |
103 |
Correct |
124 ms |
1716 KB |
Output is correct |
104 |
Correct |
131 ms |
1700 KB |
Output is correct |
105 |
Correct |
125 ms |
1728 KB |
Output is correct |