#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int INF=1e6+7;
const int N=500;
pair<int,int> t[N+10];
double dp[N+10][N+10];
double solve(int n,int k,int m)
{
for(int j=1;j<=m;j++)
dp[0][j]=INF;
for(int i=1;i<=k;i++)
{
dp[i][0]=dp[i-1][0]+(double)t[i].fi/(m+1);
//cerr<<dp[i][0]<<" ";
for(int j=1;j<=m;j++)
{
dp[i][j]=min(dp[i-1][j]+(double)t[i].fi/(m+1),dp[i-1][j-1]+(double)t[i].se/j);
if(j>i)
dp[i][j]=INF;
//cerr<<dp[i][j]<<" \n"[j==m];
}
}
priority_queue<int> pq;
for(int i=n;i>k;i--)
pq.push(-t[i].fi);
int w=0;
double ans=INF;
for(int i=k;i>=m;i--)
{
ans=min(ans,dp[i][m]+(double)w/(m+1));
pq.push(-t[i].fi);
w-=pq.top();
pq.pop();
}
return ans;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n,k;
cin>>n>>k;
for(int i=1;i<=n;i++)
{
cin>>t[i].fi>>t[i].se;
if(t[i].se==-1)
t[i].se=INF;
}
sort(t+1,t+n+1,[](pair<int,int> a,pair<int,int> b){ return a.se<b.se; });
double ans=INF;
//cerr<<solve(n,k,3)<<"\n";
//return 0;
for(int m=0;m<=k;m++)
{
//cerr<<"m="<<m<<": "<<solve(n,k,m)<<"\n";
ans=min(ans,solve(n,k,m));
}
cout<<fixed<<setprecision(4)<<ans<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
4 ms |
716 KB |
Output is correct |
7 |
Correct |
20 ms |
1228 KB |
Output is correct |
8 |
Correct |
46 ms |
1800 KB |
Output is correct |
9 |
Correct |
98 ms |
2376 KB |
Output is correct |
10 |
Correct |
35 ms |
1616 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
4 ms |
716 KB |
Output is correct |
7 |
Correct |
20 ms |
1228 KB |
Output is correct |
8 |
Correct |
46 ms |
1800 KB |
Output is correct |
9 |
Correct |
98 ms |
2376 KB |
Output is correct |
10 |
Correct |
35 ms |
1616 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
5 ms |
844 KB |
Output is correct |
13 |
Correct |
5 ms |
844 KB |
Output is correct |
14 |
Correct |
4 ms |
844 KB |
Output is correct |
15 |
Correct |
50 ms |
1612 KB |
Output is correct |
16 |
Correct |
37 ms |
1612 KB |
Output is correct |
17 |
Correct |
36 ms |
1612 KB |
Output is correct |
18 |
Correct |
103 ms |
2252 KB |
Output is correct |
19 |
Correct |
98 ms |
2300 KB |
Output is correct |
20 |
Correct |
102 ms |
2252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
0 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
460 KB |
Output is correct |
46 |
Correct |
1 ms |
460 KB |
Output is correct |
47 |
Correct |
1 ms |
460 KB |
Output is correct |
48 |
Correct |
1 ms |
460 KB |
Output is correct |
49 |
Correct |
1 ms |
588 KB |
Output is correct |
50 |
Correct |
2 ms |
704 KB |
Output is correct |
51 |
Correct |
2 ms |
716 KB |
Output is correct |
52 |
Correct |
2 ms |
716 KB |
Output is correct |
53 |
Correct |
1 ms |
460 KB |
Output is correct |
54 |
Correct |
1 ms |
460 KB |
Output is correct |
55 |
Correct |
1 ms |
460 KB |
Output is correct |
56 |
Correct |
1 ms |
460 KB |
Output is correct |
57 |
Correct |
1 ms |
576 KB |
Output is correct |
58 |
Correct |
1 ms |
460 KB |
Output is correct |
59 |
Correct |
1 ms |
460 KB |
Output is correct |
60 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
2252 KB |
Output is correct |
2 |
Correct |
102 ms |
2300 KB |
Output is correct |
3 |
Correct |
107 ms |
2292 KB |
Output is correct |
4 |
Correct |
108 ms |
2304 KB |
Output is correct |
5 |
Correct |
111 ms |
2296 KB |
Output is correct |
6 |
Correct |
98 ms |
2252 KB |
Output is correct |
7 |
Correct |
101 ms |
2304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
4 ms |
716 KB |
Output is correct |
7 |
Correct |
20 ms |
1228 KB |
Output is correct |
8 |
Correct |
46 ms |
1800 KB |
Output is correct |
9 |
Correct |
98 ms |
2376 KB |
Output is correct |
10 |
Correct |
35 ms |
1616 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
5 ms |
844 KB |
Output is correct |
13 |
Correct |
5 ms |
844 KB |
Output is correct |
14 |
Correct |
4 ms |
844 KB |
Output is correct |
15 |
Correct |
50 ms |
1612 KB |
Output is correct |
16 |
Correct |
37 ms |
1612 KB |
Output is correct |
17 |
Correct |
36 ms |
1612 KB |
Output is correct |
18 |
Correct |
103 ms |
2252 KB |
Output is correct |
19 |
Correct |
98 ms |
2300 KB |
Output is correct |
20 |
Correct |
102 ms |
2252 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
0 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
0 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
0 ms |
332 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
0 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
0 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
0 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
0 ms |
332 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
0 ms |
332 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
0 ms |
332 KB |
Output is correct |
65 |
Correct |
1 ms |
460 KB |
Output is correct |
66 |
Correct |
1 ms |
460 KB |
Output is correct |
67 |
Correct |
1 ms |
460 KB |
Output is correct |
68 |
Correct |
1 ms |
460 KB |
Output is correct |
69 |
Correct |
1 ms |
588 KB |
Output is correct |
70 |
Correct |
2 ms |
704 KB |
Output is correct |
71 |
Correct |
2 ms |
716 KB |
Output is correct |
72 |
Correct |
2 ms |
716 KB |
Output is correct |
73 |
Correct |
1 ms |
460 KB |
Output is correct |
74 |
Correct |
1 ms |
460 KB |
Output is correct |
75 |
Correct |
1 ms |
460 KB |
Output is correct |
76 |
Correct |
1 ms |
460 KB |
Output is correct |
77 |
Correct |
1 ms |
576 KB |
Output is correct |
78 |
Correct |
1 ms |
460 KB |
Output is correct |
79 |
Correct |
1 ms |
460 KB |
Output is correct |
80 |
Correct |
1 ms |
460 KB |
Output is correct |
81 |
Correct |
98 ms |
2252 KB |
Output is correct |
82 |
Correct |
102 ms |
2300 KB |
Output is correct |
83 |
Correct |
107 ms |
2292 KB |
Output is correct |
84 |
Correct |
108 ms |
2304 KB |
Output is correct |
85 |
Correct |
111 ms |
2296 KB |
Output is correct |
86 |
Correct |
98 ms |
2252 KB |
Output is correct |
87 |
Correct |
101 ms |
2304 KB |
Output is correct |
88 |
Correct |
1 ms |
460 KB |
Output is correct |
89 |
Correct |
1 ms |
460 KB |
Output is correct |
90 |
Correct |
3 ms |
716 KB |
Output is correct |
91 |
Correct |
4 ms |
716 KB |
Output is correct |
92 |
Correct |
16 ms |
1228 KB |
Output is correct |
93 |
Correct |
16 ms |
1228 KB |
Output is correct |
94 |
Correct |
44 ms |
1740 KB |
Output is correct |
95 |
Correct |
43 ms |
1740 KB |
Output is correct |
96 |
Correct |
77 ms |
1996 KB |
Output is correct |
97 |
Correct |
75 ms |
2116 KB |
Output is correct |
98 |
Correct |
38 ms |
1744 KB |
Output is correct |
99 |
Correct |
37 ms |
1612 KB |
Output is correct |
100 |
Correct |
39 ms |
1704 KB |
Output is correct |
101 |
Correct |
38 ms |
1612 KB |
Output is correct |
102 |
Correct |
38 ms |
1612 KB |
Output is correct |
103 |
Correct |
36 ms |
1704 KB |
Output is correct |
104 |
Correct |
37 ms |
1612 KB |
Output is correct |
105 |
Correct |
37 ms |
1612 KB |
Output is correct |