#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
using ll = long long;
using dd = double;
using vi = vector<int>;
const int mx = 500;
const dd INF = 1'000'000'0.0;
dd a[1+mx], b[1+mx];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N, K;
cin >> N >> K;
cout << std::fixed;
cout.precision(10);
b[0] = 0;
for(int i = 1; i <= N; i++) cin >> a[i] >> b[i];
vi I(1+N);
for(int i = 0; i <= N; i++) I[i] = i;
sort(I.begin(), I.end(), [] (int u, int v)
{
dd bu = b[u], bv = b[v];
if(bu == -1) bu = INF;
if(bv == -1) bv = INF;
return bu < bv;
});
// cerr << '\n';
dd A[1+N], B[1+N];
for(int i = 1; i <= N; i++) A[i] = a[I[i]], B[i] = b[I[i]];
double res = INF;
int cc = 0;
for(int i = 1; i <= N; i++) cc += (B[i] != -1);
// cerr <<"cc = " << cc << "\n";
// cerr << "\n\n\n";
// for(int i = 1; i <= N; i++) cerr << A[i] << ' ' << B[i] << '\n';
for(int x = 0; x <= min(K,cc); x++)
{
// cerr <<"\n\n\n\n x = " << x << '\n';
dd DP[1+N][1+K-x]; //last position, non-collaborators
for(int i = 0; i <= N; i++)
for(int j = 0; j <= K-x; j++)
DP[i][j] = INF;
DP[0][0] = 0.0;
for(int i = 1; i <= N; i++)
{
for(int j = 0; j <= min(i, K-x); j++)
{
// cerr << "\n\n state = " << i << ' ' << j << "/ " << i << ' ' << K-x << "\n";
if(i-j > x)
DP[i][j] = DP[i-1][j];
if(i - j <= x && B[i] != -1 && i-j > 0)
{
// cerr << "#\n";
// cerr << i-1 << ' ' << j << ' ' << i-j-1+1 << '\n';
// cerr << "A\n";
DP[i][j] = min(DP[i][j], DP[i-1][j] + (B[i] / double(i-j-1 + 1)));
}
if(j >= 1)
{
DP[i][j] = min(DP[i][j], DP[i-1][j-1] + (A[i] / double(x+1)));
}
// cerr << x << ' ' << i << ' ' << j << " : " << DP[i][j] << '\n';
}
}
res = min(res, DP[N][K - x]);
// cerr << "\n\n\n " << N << ' ' << K-x << ' ' << 1+N << ' ' << 1+x << "\n\n\n";
// cerr << "res = " << res << "\n";
}
cout << res << '\n';
}
# |
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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
1220 KB |
Output is correct |
8 |
Correct |
2 ms |
1748 KB |
Output is correct |
9 |
Correct |
2 ms |
2260 KB |
Output is correct |
10 |
Correct |
2 ms |
1620 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
1220 KB |
Output is correct |
8 |
Correct |
2 ms |
1748 KB |
Output is correct |
9 |
Correct |
2 ms |
2260 KB |
Output is correct |
10 |
Correct |
2 ms |
1620 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
14 ms |
932 KB |
Output is correct |
13 |
Correct |
15 ms |
932 KB |
Output is correct |
14 |
Correct |
12 ms |
936 KB |
Output is correct |
15 |
Correct |
76 ms |
1696 KB |
Output is correct |
16 |
Correct |
68 ms |
1692 KB |
Output is correct |
17 |
Correct |
34 ms |
1700 KB |
Output is correct |
18 |
Correct |
156 ms |
2260 KB |
Output is correct |
19 |
Correct |
116 ms |
2244 KB |
Output is correct |
20 |
Correct |
35 ms |
2288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
228 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
228 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
256 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
1 ms |
324 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
320 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
436 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
324 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
228 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
324 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
256 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
1 ms |
324 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
320 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
436 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
324 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
324 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 |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
328 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 |
3 ms |
324 KB |
Output is correct |
52 |
Correct |
2 ms |
324 KB |
Output is correct |
53 |
Correct |
2 ms |
324 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 |
2 ms |
344 KB |
Output is correct |
58 |
Correct |
2 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
2 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
161 ms |
2300 KB |
Output is correct |
2 |
Correct |
149 ms |
2284 KB |
Output is correct |
3 |
Correct |
141 ms |
2284 KB |
Output is correct |
4 |
Correct |
156 ms |
2276 KB |
Output is correct |
5 |
Correct |
148 ms |
2284 KB |
Output is correct |
6 |
Correct |
155 ms |
2260 KB |
Output is correct |
7 |
Correct |
171 ms |
2280 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
1220 KB |
Output is correct |
8 |
Correct |
2 ms |
1748 KB |
Output is correct |
9 |
Correct |
2 ms |
2260 KB |
Output is correct |
10 |
Correct |
2 ms |
1620 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
14 ms |
932 KB |
Output is correct |
13 |
Correct |
15 ms |
932 KB |
Output is correct |
14 |
Correct |
12 ms |
936 KB |
Output is correct |
15 |
Correct |
76 ms |
1696 KB |
Output is correct |
16 |
Correct |
68 ms |
1692 KB |
Output is correct |
17 |
Correct |
34 ms |
1700 KB |
Output is correct |
18 |
Correct |
156 ms |
2260 KB |
Output is correct |
19 |
Correct |
116 ms |
2244 KB |
Output is correct |
20 |
Correct |
35 ms |
2288 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 |
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 |
1 ms |
228 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
320 KB |
Output is correct |
30 |
Correct |
1 ms |
256 KB |
Output is correct |
31 |
Correct |
1 ms |
324 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
324 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
256 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
324 KB |
Output is correct |
47 |
Correct |
1 ms |
324 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
320 KB |
Output is correct |
51 |
Correct |
1 ms |
328 KB |
Output is correct |
52 |
Correct |
1 ms |
436 KB |
Output is correct |
53 |
Correct |
1 ms |
212 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 |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
324 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
1 ms |
324 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 |
1 ms |
340 KB |
Output is correct |
66 |
Correct |
1 ms |
328 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 |
3 ms |
324 KB |
Output is correct |
72 |
Correct |
2 ms |
324 KB |
Output is correct |
73 |
Correct |
2 ms |
324 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 |
2 ms |
344 KB |
Output is correct |
78 |
Correct |
2 ms |
340 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
2 ms |
328 KB |
Output is correct |
81 |
Correct |
161 ms |
2300 KB |
Output is correct |
82 |
Correct |
149 ms |
2284 KB |
Output is correct |
83 |
Correct |
141 ms |
2284 KB |
Output is correct |
84 |
Correct |
156 ms |
2276 KB |
Output is correct |
85 |
Correct |
148 ms |
2284 KB |
Output is correct |
86 |
Correct |
155 ms |
2260 KB |
Output is correct |
87 |
Correct |
171 ms |
2280 KB |
Output is correct |
88 |
Correct |
4 ms |
468 KB |
Output is correct |
89 |
Correct |
3 ms |
484 KB |
Output is correct |
90 |
Correct |
14 ms |
724 KB |
Output is correct |
91 |
Correct |
11 ms |
840 KB |
Output is correct |
92 |
Correct |
38 ms |
1236 KB |
Output is correct |
93 |
Correct |
45 ms |
1236 KB |
Output is correct |
94 |
Correct |
96 ms |
1796 KB |
Output is correct |
95 |
Correct |
90 ms |
1748 KB |
Output is correct |
96 |
Correct |
124 ms |
2092 KB |
Output is correct |
97 |
Correct |
121 ms |
2088 KB |
Output is correct |
98 |
Correct |
72 ms |
1700 KB |
Output is correct |
99 |
Correct |
84 ms |
1620 KB |
Output is correct |
100 |
Correct |
71 ms |
1692 KB |
Output is correct |
101 |
Correct |
70 ms |
1700 KB |
Output is correct |
102 |
Correct |
84 ms |
1600 KB |
Output is correct |
103 |
Correct |
74 ms |
1700 KB |
Output is correct |
104 |
Correct |
65 ms |
1604 KB |
Output is correct |
105 |
Correct |
72 ms |
1696 KB |
Output is correct |