#include <bits/stdc++.h>
#define int long long
#define IO ios::sync_with_stdio(0), cin.tie(0)
#define FOR(i, a, b) for (int i = a; i <= b; i++)
using namespace std;
using pii = pair<int, int>;
const int N = 505;
const int INF = 1e9;
const double dINF = 1e9;
pii a[N];
int n, tar;
/// 共有 cnt 個助選人
double calc(int cnt) {
vector<vector<double>> dp(n + 1, vector<double>(n + 1, dINF));
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
for (int j = tar; j >= 1; j--)
dp[j][cnt] = min(dp[j][cnt], dp[j - 1][cnt] + (double)a[i].first / (cnt + 1));
for (int j = cnt; j >= 0; j--) {
if (j != cnt)
dp[i][j] = min(dp[i][j], dp[i - 1][j] + (double)a[i].first / (cnt + 1));
if (j && a[i].second < INF)
dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + (double)a[i].second / j);
}
}
return dp[tar][cnt];
}
signed main() {
IO;
cin >> n >> tar;
FOR(i, 1, n) {
cin >> a[i].first >> a[i].second;
if (a[i].second == -1)
a[i].second = INF;
}
sort(a + 1, a + n + 1, [&](pii p, pii q) {
return p.second < q.second;
});
double ans = dINF;
for (int i = 0; i <= tar; i++)
ans = min(ans, calc(i));
cout << fixed << setprecision(15) << ans << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
28 ms |
2588 KB |
Output is correct |
6 |
Correct |
79 ms |
2628 KB |
Output is correct |
7 |
Correct |
183 ms |
2612 KB |
Output is correct |
8 |
Correct |
323 ms |
2752 KB |
Output is correct |
9 |
Correct |
496 ms |
2636 KB |
Output is correct |
10 |
Correct |
282 ms |
2468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
28 ms |
2588 KB |
Output is correct |
6 |
Correct |
79 ms |
2628 KB |
Output is correct |
7 |
Correct |
183 ms |
2612 KB |
Output is correct |
8 |
Correct |
323 ms |
2752 KB |
Output is correct |
9 |
Correct |
496 ms |
2636 KB |
Output is correct |
10 |
Correct |
282 ms |
2468 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
110 ms |
2636 KB |
Output is correct |
13 |
Correct |
99 ms |
2628 KB |
Output is correct |
14 |
Correct |
103 ms |
2640 KB |
Output is correct |
15 |
Correct |
331 ms |
2560 KB |
Output is correct |
16 |
Correct |
314 ms |
2708 KB |
Output is correct |
17 |
Correct |
296 ms |
2588 KB |
Output is correct |
18 |
Correct |
613 ms |
2856 KB |
Output is correct |
19 |
Correct |
556 ms |
2692 KB |
Output is correct |
20 |
Correct |
537 ms |
2760 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
548 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
460 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
352 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
464 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
548 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
460 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
352 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
464 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 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 |
344 KB |
Output is correct |
43 |
Correct |
2 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
344 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
2 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
460 KB |
Output is correct |
49 |
Correct |
2 ms |
348 KB |
Output is correct |
50 |
Correct |
2 ms |
348 KB |
Output is correct |
51 |
Correct |
5 ms |
344 KB |
Output is correct |
52 |
Correct |
5 ms |
348 KB |
Output is correct |
53 |
Correct |
2 ms |
348 KB |
Output is correct |
54 |
Correct |
2 ms |
344 KB |
Output is correct |
55 |
Correct |
2 ms |
348 KB |
Output is correct |
56 |
Correct |
2 ms |
348 KB |
Output is correct |
57 |
Correct |
2 ms |
348 KB |
Output is correct |
58 |
Correct |
2 ms |
348 KB |
Output is correct |
59 |
Correct |
2 ms |
348 KB |
Output is correct |
60 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
604 ms |
2616 KB |
Output is correct |
2 |
Correct |
592 ms |
2692 KB |
Output is correct |
3 |
Correct |
600 ms |
2708 KB |
Output is correct |
4 |
Correct |
600 ms |
2444 KB |
Output is correct |
5 |
Correct |
594 ms |
2988 KB |
Output is correct |
6 |
Correct |
596 ms |
2824 KB |
Output is correct |
7 |
Correct |
595 ms |
2660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
28 ms |
2588 KB |
Output is correct |
6 |
Correct |
79 ms |
2628 KB |
Output is correct |
7 |
Correct |
183 ms |
2612 KB |
Output is correct |
8 |
Correct |
323 ms |
2752 KB |
Output is correct |
9 |
Correct |
496 ms |
2636 KB |
Output is correct |
10 |
Correct |
282 ms |
2468 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
110 ms |
2636 KB |
Output is correct |
13 |
Correct |
99 ms |
2628 KB |
Output is correct |
14 |
Correct |
103 ms |
2640 KB |
Output is correct |
15 |
Correct |
331 ms |
2560 KB |
Output is correct |
16 |
Correct |
314 ms |
2708 KB |
Output is correct |
17 |
Correct |
296 ms |
2588 KB |
Output is correct |
18 |
Correct |
613 ms |
2856 KB |
Output is correct |
19 |
Correct |
556 ms |
2692 KB |
Output is correct |
20 |
Correct |
537 ms |
2760 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 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 |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 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 |
0 ms |
548 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
344 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
1 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
460 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
352 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
344 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
464 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
1 ms |
344 KB |
Output is correct |
63 |
Correct |
2 ms |
348 KB |
Output is correct |
64 |
Correct |
1 ms |
344 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
2 ms |
348 KB |
Output is correct |
68 |
Correct |
1 ms |
460 KB |
Output is correct |
69 |
Correct |
2 ms |
348 KB |
Output is correct |
70 |
Correct |
2 ms |
348 KB |
Output is correct |
71 |
Correct |
5 ms |
344 KB |
Output is correct |
72 |
Correct |
5 ms |
348 KB |
Output is correct |
73 |
Correct |
2 ms |
348 KB |
Output is correct |
74 |
Correct |
2 ms |
344 KB |
Output is correct |
75 |
Correct |
2 ms |
348 KB |
Output is correct |
76 |
Correct |
2 ms |
348 KB |
Output is correct |
77 |
Correct |
2 ms |
348 KB |
Output is correct |
78 |
Correct |
2 ms |
348 KB |
Output is correct |
79 |
Correct |
2 ms |
348 KB |
Output is correct |
80 |
Correct |
2 ms |
348 KB |
Output is correct |
81 |
Correct |
604 ms |
2616 KB |
Output is correct |
82 |
Correct |
592 ms |
2692 KB |
Output is correct |
83 |
Correct |
600 ms |
2708 KB |
Output is correct |
84 |
Correct |
600 ms |
2444 KB |
Output is correct |
85 |
Correct |
594 ms |
2988 KB |
Output is correct |
86 |
Correct |
596 ms |
2824 KB |
Output is correct |
87 |
Correct |
595 ms |
2660 KB |
Output is correct |
88 |
Correct |
30 ms |
2580 KB |
Output is correct |
89 |
Correct |
29 ms |
2580 KB |
Output is correct |
90 |
Correct |
82 ms |
2720 KB |
Output is correct |
91 |
Correct |
84 ms |
2696 KB |
Output is correct |
92 |
Correct |
219 ms |
2764 KB |
Output is correct |
93 |
Correct |
200 ms |
2628 KB |
Output is correct |
94 |
Correct |
376 ms |
2632 KB |
Output is correct |
95 |
Correct |
394 ms |
2592 KB |
Output is correct |
96 |
Correct |
512 ms |
2808 KB |
Output is correct |
97 |
Correct |
507 ms |
2560 KB |
Output is correct |
98 |
Correct |
332 ms |
2624 KB |
Output is correct |
99 |
Correct |
328 ms |
2584 KB |
Output is correct |
100 |
Correct |
328 ms |
2684 KB |
Output is correct |
101 |
Correct |
330 ms |
2572 KB |
Output is correct |
102 |
Correct |
334 ms |
3108 KB |
Output is correct |
103 |
Correct |
333 ms |
2652 KB |
Output is correct |
104 |
Correct |
336 ms |
2732 KB |
Output is correct |
105 |
Correct |
330 ms |
2768 KB |
Output is correct |