#include <bits/stdc++.h>
using namespace std;
double solve(int n, int k, vector<pair<int, int>> &a, int totalB) {
vector<vector<double>> dp(n + 1, vector<double>(n + 1, 1e9));
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
for (int As = 0; As <= min(i - 1, k - totalB); As++) {
int Bs = min(totalB, i - 1 - As);
if (As < k - totalB) {
double d = a[i].first;
dp[i][As + 1] = min(dp[i][As + 1], dp[i - 1][As] + d / (totalB + 1));
}
if (Bs < totalB) {
double d = a[i].second;
dp[i][As] = min(dp[i][As], dp[i - 1][As] + d / (Bs + 1));
}
else dp[i][As] = min(dp[i][As], dp[i - 1][As]);
}
}
return dp[n][k - totalB];
}
int main() {
ios::sync_with_stdio(false);
int n, k;
cin >> n >> k;
vector<pair<int, int>> a(n + 1, {0, 0});
for (int i = 1; i <= n; i++) {
cin >> a[i].second >> a[i].first;
if (a[i].first == -1) a[i].first = 1e9;
}
sort(a.begin(), a.end());
for (int i = 1; i <= n; i++) {
swap(a[i].first, a[i].second);
}
double ans = 1e9;
for (int i = 0; i <= k; i++) {
ans = min(ans, solve(n, k, a, i));
}
cout << setprecision(10) << ans << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
31 ms |
2308 KB |
Output is correct |
6 |
Correct |
78 ms |
2412 KB |
Output is correct |
7 |
Correct |
210 ms |
2308 KB |
Output is correct |
8 |
Correct |
302 ms |
2500 KB |
Output is correct |
9 |
Correct |
420 ms |
2672 KB |
Output is correct |
10 |
Correct |
264 ms |
2752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
31 ms |
2308 KB |
Output is correct |
6 |
Correct |
78 ms |
2412 KB |
Output is correct |
7 |
Correct |
210 ms |
2308 KB |
Output is correct |
8 |
Correct |
302 ms |
2500 KB |
Output is correct |
9 |
Correct |
420 ms |
2672 KB |
Output is correct |
10 |
Correct |
264 ms |
2752 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
119 ms |
2456 KB |
Output is correct |
13 |
Correct |
103 ms |
2656 KB |
Output is correct |
14 |
Correct |
103 ms |
2416 KB |
Output is correct |
15 |
Correct |
266 ms |
2500 KB |
Output is correct |
16 |
Correct |
282 ms |
2544 KB |
Output is correct |
17 |
Correct |
254 ms |
2668 KB |
Output is correct |
18 |
Correct |
414 ms |
2476 KB |
Output is correct |
19 |
Correct |
417 ms |
2596 KB |
Output is correct |
20 |
Correct |
424 ms |
2568 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 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 |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
2 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 |
340 KB |
Output is correct |
52 |
Correct |
2 ms |
340 KB |
Output is correct |
53 |
Correct |
2 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 |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
446 ms |
2516 KB |
Output is correct |
2 |
Correct |
457 ms |
2624 KB |
Output is correct |
3 |
Correct |
420 ms |
2352 KB |
Output is correct |
4 |
Correct |
400 ms |
2488 KB |
Output is correct |
5 |
Correct |
413 ms |
2528 KB |
Output is correct |
6 |
Correct |
407 ms |
2628 KB |
Output is correct |
7 |
Correct |
446 ms |
2420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
31 ms |
2308 KB |
Output is correct |
6 |
Correct |
78 ms |
2412 KB |
Output is correct |
7 |
Correct |
210 ms |
2308 KB |
Output is correct |
8 |
Correct |
302 ms |
2500 KB |
Output is correct |
9 |
Correct |
420 ms |
2672 KB |
Output is correct |
10 |
Correct |
264 ms |
2752 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
119 ms |
2456 KB |
Output is correct |
13 |
Correct |
103 ms |
2656 KB |
Output is correct |
14 |
Correct |
103 ms |
2416 KB |
Output is correct |
15 |
Correct |
266 ms |
2500 KB |
Output is correct |
16 |
Correct |
282 ms |
2544 KB |
Output is correct |
17 |
Correct |
254 ms |
2668 KB |
Output is correct |
18 |
Correct |
414 ms |
2476 KB |
Output is correct |
19 |
Correct |
417 ms |
2596 KB |
Output is correct |
20 |
Correct |
424 ms |
2568 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 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 |
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 |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
0 ms |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
1 ms |
340 KB |
Output is correct |
66 |
Correct |
1 ms |
340 KB |
Output is correct |
67 |
Correct |
2 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 |
340 KB |
Output is correct |
72 |
Correct |
2 ms |
340 KB |
Output is correct |
73 |
Correct |
2 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 |
1 ms |
340 KB |
Output is correct |
77 |
Correct |
1 ms |
340 KB |
Output is correct |
78 |
Correct |
1 ms |
340 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
340 KB |
Output is correct |
81 |
Correct |
446 ms |
2516 KB |
Output is correct |
82 |
Correct |
457 ms |
2624 KB |
Output is correct |
83 |
Correct |
420 ms |
2352 KB |
Output is correct |
84 |
Correct |
400 ms |
2488 KB |
Output is correct |
85 |
Correct |
413 ms |
2528 KB |
Output is correct |
86 |
Correct |
407 ms |
2628 KB |
Output is correct |
87 |
Correct |
446 ms |
2420 KB |
Output is correct |
88 |
Correct |
31 ms |
2484 KB |
Output is correct |
89 |
Correct |
31 ms |
2424 KB |
Output is correct |
90 |
Correct |
82 ms |
2516 KB |
Output is correct |
91 |
Correct |
90 ms |
2472 KB |
Output is correct |
92 |
Correct |
171 ms |
2492 KB |
Output is correct |
93 |
Correct |
188 ms |
2484 KB |
Output is correct |
94 |
Correct |
290 ms |
2428 KB |
Output is correct |
95 |
Correct |
314 ms |
2348 KB |
Output is correct |
96 |
Correct |
354 ms |
2492 KB |
Output is correct |
97 |
Correct |
357 ms |
2500 KB |
Output is correct |
98 |
Correct |
295 ms |
2496 KB |
Output is correct |
99 |
Correct |
277 ms |
2524 KB |
Output is correct |
100 |
Correct |
264 ms |
2636 KB |
Output is correct |
101 |
Correct |
266 ms |
2436 KB |
Output is correct |
102 |
Correct |
281 ms |
2724 KB |
Output is correct |
103 |
Correct |
282 ms |
2664 KB |
Output is correct |
104 |
Correct |
280 ms |
2572 KB |
Output is correct |
105 |
Correct |
257 ms |
2468 KB |
Output is correct |