#include <bits/stdc++.h>
using namespace std;
const int N = 505;
double dp[N][N], mi[N][N];
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, k; cin >> n >> k;
vector<array<int, 2>> a(n);
for(auto &[i, l]: a) cin >> i >> l;
sort(a.begin(), a.end(), [&](auto x, auto y){
if(x[1]==y[1]) return x[0] < y[0];
else if(y[1]==-1) return true;
else if(x[1]==-1) return false;
return x[1]<y[1];
});
double ans=1e9;
for(int i=0; i<=n; i++){
for(int l=0; l<=n; l++){
mi[i][l]=1e9;
}
}
mi[n][0]=0;
for(int i=n-1; i>=0; i--){
mi[i][0]=0;
for(int l=n; l>0; l--){
mi[i][l]=min(mi[i+1][l], mi[i+1][l-1]+a[i][0]);
}
}
auto calc=[&](int e){
for(int i=0; i<=n+1; i++){
for(int l=0; l<=n+1; l++){
dp[i][l]=1e9;
}
}
for(int i=0; i<=k; i++){
if(a[i][1]==-1) break;
dp[i][0]=(i==0?0:dp[i-1][0])+(double)a[i][0]/(double)(e+1);
if(i>0)
for(int l=e; l>=1; l--)
dp[i][l] =min<double>(dp[i-1][l-1]+(double)a[i][1]/(double)(l), dp[i-1][l]+((double)a[i][0])/(double)(e+1));
else dp[i][1]=a[i][1];
}
for(int i=0; i<k; i++){
if(mi[i+1][k-i-1]!=1e9&&dp[i][e]!=(1e9))
ans=min(ans, dp[i][e]+(double)mi[i+1][k-i-1]/(double)(e+1));
}
};
for(int i=1; i<=k; i++){
calc(i);
}
ans=min(ans, mi[0][k]);
cout<<fixed<<" "<<setprecision(9)<<ans<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
10 ms |
4444 KB |
Output is correct |
6 |
Correct |
21 ms |
4444 KB |
Output is correct |
7 |
Correct |
43 ms |
4444 KB |
Output is correct |
8 |
Correct |
62 ms |
4188 KB |
Output is correct |
9 |
Correct |
82 ms |
4188 KB |
Output is correct |
10 |
Correct |
58 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
10 ms |
4444 KB |
Output is correct |
6 |
Correct |
21 ms |
4444 KB |
Output is correct |
7 |
Correct |
43 ms |
4444 KB |
Output is correct |
8 |
Correct |
62 ms |
4188 KB |
Output is correct |
9 |
Correct |
82 ms |
4188 KB |
Output is correct |
10 |
Correct |
58 ms |
4184 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
28 ms |
4184 KB |
Output is correct |
13 |
Correct |
29 ms |
4440 KB |
Output is correct |
14 |
Correct |
27 ms |
4444 KB |
Output is correct |
15 |
Correct |
96 ms |
4444 KB |
Output is correct |
16 |
Correct |
86 ms |
4444 KB |
Output is correct |
17 |
Correct |
68 ms |
4444 KB |
Output is correct |
18 |
Correct |
180 ms |
4444 KB |
Output is correct |
19 |
Correct |
141 ms |
4440 KB |
Output is correct |
20 |
Correct |
102 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2712 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2712 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2648 KB |
Output is correct |
23 |
Correct |
1 ms |
2392 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
0 ms |
2516 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2512 KB |
Output is correct |
30 |
Correct |
1 ms |
2648 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2648 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2392 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2712 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2648 KB |
Output is correct |
23 |
Correct |
1 ms |
2392 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
0 ms |
2516 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2512 KB |
Output is correct |
30 |
Correct |
1 ms |
2648 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2648 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2392 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2652 KB |
Output is correct |
42 |
Correct |
1 ms |
2652 KB |
Output is correct |
43 |
Correct |
1 ms |
2652 KB |
Output is correct |
44 |
Correct |
1 ms |
2716 KB |
Output is correct |
45 |
Correct |
1 ms |
2652 KB |
Output is correct |
46 |
Correct |
1 ms |
2652 KB |
Output is correct |
47 |
Correct |
2 ms |
2652 KB |
Output is correct |
48 |
Correct |
2 ms |
2652 KB |
Output is correct |
49 |
Correct |
2 ms |
2652 KB |
Output is correct |
50 |
Correct |
2 ms |
2712 KB |
Output is correct |
51 |
Correct |
3 ms |
2648 KB |
Output is correct |
52 |
Correct |
2 ms |
2648 KB |
Output is correct |
53 |
Correct |
2 ms |
2652 KB |
Output is correct |
54 |
Correct |
1 ms |
2652 KB |
Output is correct |
55 |
Correct |
2 ms |
2652 KB |
Output is correct |
56 |
Correct |
1 ms |
2764 KB |
Output is correct |
57 |
Correct |
2 ms |
2652 KB |
Output is correct |
58 |
Correct |
1 ms |
2652 KB |
Output is correct |
59 |
Correct |
1 ms |
2652 KB |
Output is correct |
60 |
Correct |
2 ms |
2900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
188 ms |
4436 KB |
Output is correct |
2 |
Correct |
191 ms |
4416 KB |
Output is correct |
3 |
Correct |
179 ms |
4424 KB |
Output is correct |
4 |
Correct |
181 ms |
4432 KB |
Output is correct |
5 |
Correct |
178 ms |
4416 KB |
Output is correct |
6 |
Correct |
182 ms |
4184 KB |
Output is correct |
7 |
Correct |
184 ms |
4436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
10 ms |
4444 KB |
Output is correct |
6 |
Correct |
21 ms |
4444 KB |
Output is correct |
7 |
Correct |
43 ms |
4444 KB |
Output is correct |
8 |
Correct |
62 ms |
4188 KB |
Output is correct |
9 |
Correct |
82 ms |
4188 KB |
Output is correct |
10 |
Correct |
58 ms |
4184 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
28 ms |
4184 KB |
Output is correct |
13 |
Correct |
29 ms |
4440 KB |
Output is correct |
14 |
Correct |
27 ms |
4444 KB |
Output is correct |
15 |
Correct |
96 ms |
4444 KB |
Output is correct |
16 |
Correct |
86 ms |
4444 KB |
Output is correct |
17 |
Correct |
68 ms |
4444 KB |
Output is correct |
18 |
Correct |
180 ms |
4444 KB |
Output is correct |
19 |
Correct |
141 ms |
4440 KB |
Output is correct |
20 |
Correct |
102 ms |
4184 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2392 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2712 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2648 KB |
Output is correct |
43 |
Correct |
1 ms |
2392 KB |
Output is correct |
44 |
Correct |
1 ms |
2392 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
0 ms |
2516 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2512 KB |
Output is correct |
50 |
Correct |
1 ms |
2648 KB |
Output is correct |
51 |
Correct |
1 ms |
2396 KB |
Output is correct |
52 |
Correct |
1 ms |
2396 KB |
Output is correct |
53 |
Correct |
1 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
2648 KB |
Output is correct |
55 |
Correct |
1 ms |
2396 KB |
Output is correct |
56 |
Correct |
1 ms |
2392 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
1 ms |
2392 KB |
Output is correct |
59 |
Correct |
1 ms |
2396 KB |
Output is correct |
60 |
Correct |
1 ms |
2396 KB |
Output is correct |
61 |
Correct |
1 ms |
2652 KB |
Output is correct |
62 |
Correct |
1 ms |
2652 KB |
Output is correct |
63 |
Correct |
1 ms |
2652 KB |
Output is correct |
64 |
Correct |
1 ms |
2716 KB |
Output is correct |
65 |
Correct |
1 ms |
2652 KB |
Output is correct |
66 |
Correct |
1 ms |
2652 KB |
Output is correct |
67 |
Correct |
2 ms |
2652 KB |
Output is correct |
68 |
Correct |
2 ms |
2652 KB |
Output is correct |
69 |
Correct |
2 ms |
2652 KB |
Output is correct |
70 |
Correct |
2 ms |
2712 KB |
Output is correct |
71 |
Correct |
3 ms |
2648 KB |
Output is correct |
72 |
Correct |
2 ms |
2648 KB |
Output is correct |
73 |
Correct |
2 ms |
2652 KB |
Output is correct |
74 |
Correct |
1 ms |
2652 KB |
Output is correct |
75 |
Correct |
2 ms |
2652 KB |
Output is correct |
76 |
Correct |
1 ms |
2764 KB |
Output is correct |
77 |
Correct |
2 ms |
2652 KB |
Output is correct |
78 |
Correct |
1 ms |
2652 KB |
Output is correct |
79 |
Correct |
1 ms |
2652 KB |
Output is correct |
80 |
Correct |
2 ms |
2900 KB |
Output is correct |
81 |
Correct |
188 ms |
4436 KB |
Output is correct |
82 |
Correct |
191 ms |
4416 KB |
Output is correct |
83 |
Correct |
179 ms |
4424 KB |
Output is correct |
84 |
Correct |
181 ms |
4432 KB |
Output is correct |
85 |
Correct |
178 ms |
4416 KB |
Output is correct |
86 |
Correct |
182 ms |
4184 KB |
Output is correct |
87 |
Correct |
184 ms |
4436 KB |
Output is correct |
88 |
Correct |
10 ms |
4444 KB |
Output is correct |
89 |
Correct |
10 ms |
4444 KB |
Output is correct |
90 |
Correct |
23 ms |
4444 KB |
Output is correct |
91 |
Correct |
24 ms |
4448 KB |
Output is correct |
92 |
Correct |
54 ms |
4440 KB |
Output is correct |
93 |
Correct |
53 ms |
4444 KB |
Output is correct |
94 |
Correct |
109 ms |
4444 KB |
Output is correct |
95 |
Correct |
102 ms |
4188 KB |
Output is correct |
96 |
Correct |
145 ms |
4188 KB |
Output is correct |
97 |
Correct |
146 ms |
4440 KB |
Output is correct |
98 |
Correct |
107 ms |
4444 KB |
Output is correct |
99 |
Correct |
90 ms |
4444 KB |
Output is correct |
100 |
Correct |
94 ms |
4440 KB |
Output is correct |
101 |
Correct |
92 ms |
4420 KB |
Output is correct |
102 |
Correct |
94 ms |
4444 KB |
Output is correct |
103 |
Correct |
92 ms |
4440 KB |
Output is correct |
104 |
Correct |
95 ms |
4420 KB |
Output is correct |
105 |
Correct |
99 ms |
4184 KB |
Output is correct |