#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const ll N = 5e2;
const ll inf = 1e18;
struct state{
ll a,b;
}v[N];
int p[N];
ld dp[N + 1][N + 1];
ll sum[N + 1];
vector<int> v2;
int main(){
cout<<fixed<<setprecision(5);
int n,k;
ld ans = inf;
cin>>n>>k;
for(int i = 0;i < n;i++){
cin>>v[i].a>>v[i].b;
if(v[i].b == -1)v[i].b = inf;
p[i] = i;
}
sort(p,p + n,[&](int a, int b){
return v[a].b < v[b].b;
});
for(int i = n;i >= 0;i--){
///first i - 1 complete
v2.clear();
for(int j = i;j < n;j++){
v2.push_back(v[p[j]].a);
}
sort(v2.begin(),v2.end());
for(int j = 0;j < k - i;j++){
sum[i]+=v2[j];
}
}
for(int m = 0;m < k;m++){
for(int i = 0;i <= n;i++){
for(int j = 0;j <= n;j++){
dp[i][j] = inf;
}
}
dp[0][0] = 0;///i as j bs
for(int i = 0;i <= n;i++){
int id = p[i];
for(int j = 0;j <= i;j++){
if(i - j + 1 <= n)dp[i - j + 1][j] = min(dp[i - j + 1][j],dp[i - j][j] + (ld)v[id].a/(m + 1));
if(j + 1 <= n)dp[i - j][j + 1] = min(dp[i - j][j + 1],dp[i - j][j] + (ld)v[id].b/(j + 1));
}
}
for(int i = 0;i + m <= n;i++){
ans = min(ans,dp[i][m] + (ld)sum[i + m]/(m + 1));
}
}
cout<<ans;
return 0;
}
/**
7 5
284 758 x 474
288 668 380
320 635 315
333 702 x 369
374 676 302
375 666 x 291
393 646 x 253
**/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
440 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
158 ms |
4356 KB |
Output is correct |
6 |
Correct |
387 ms |
4360 KB |
Output is correct |
7 |
Correct |
776 ms |
4356 KB |
Output is correct |
8 |
Correct |
1123 ms |
4188 KB |
Output is correct |
9 |
Correct |
1496 ms |
4188 KB |
Output is correct |
10 |
Correct |
1059 ms |
4188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
440 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
158 ms |
4356 KB |
Output is correct |
6 |
Correct |
387 ms |
4360 KB |
Output is correct |
7 |
Correct |
776 ms |
4356 KB |
Output is correct |
8 |
Correct |
1123 ms |
4188 KB |
Output is correct |
9 |
Correct |
1496 ms |
4188 KB |
Output is correct |
10 |
Correct |
1059 ms |
4188 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
464 ms |
4188 KB |
Output is correct |
13 |
Correct |
476 ms |
4368 KB |
Output is correct |
14 |
Correct |
475 ms |
4188 KB |
Output is correct |
15 |
Correct |
1097 ms |
4276 KB |
Output is correct |
16 |
Correct |
1145 ms |
4188 KB |
Output is correct |
17 |
Correct |
1135 ms |
4360 KB |
Output is correct |
18 |
Correct |
1597 ms |
4356 KB |
Output is correct |
19 |
Correct |
1547 ms |
4184 KB |
Output is correct |
20 |
Correct |
1541 ms |
4360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 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 |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
540 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
540 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 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 |
3 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
1000 KB |
Output is correct |
43 |
Correct |
6 ms |
1116 KB |
Output is correct |
44 |
Correct |
5 ms |
884 KB |
Output is correct |
45 |
Correct |
7 ms |
856 KB |
Output is correct |
46 |
Correct |
7 ms |
860 KB |
Output is correct |
47 |
Correct |
9 ms |
860 KB |
Output is correct |
48 |
Correct |
9 ms |
860 KB |
Output is correct |
49 |
Correct |
10 ms |
860 KB |
Output is correct |
50 |
Correct |
11 ms |
856 KB |
Output is correct |
51 |
Correct |
13 ms |
860 KB |
Output is correct |
52 |
Correct |
13 ms |
856 KB |
Output is correct |
53 |
Correct |
9 ms |
860 KB |
Output is correct |
54 |
Correct |
9 ms |
856 KB |
Output is correct |
55 |
Correct |
9 ms |
860 KB |
Output is correct |
56 |
Correct |
9 ms |
1004 KB |
Output is correct |
57 |
Correct |
8 ms |
856 KB |
Output is correct |
58 |
Correct |
9 ms |
1000 KB |
Output is correct |
59 |
Correct |
9 ms |
860 KB |
Output is correct |
60 |
Correct |
8 ms |
860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1524 ms |
4356 KB |
Output is correct |
2 |
Correct |
1543 ms |
4364 KB |
Output is correct |
3 |
Correct |
1511 ms |
4360 KB |
Output is correct |
4 |
Correct |
1532 ms |
4356 KB |
Output is correct |
5 |
Correct |
1523 ms |
4356 KB |
Output is correct |
6 |
Correct |
1546 ms |
4440 KB |
Output is correct |
7 |
Correct |
1522 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
440 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
158 ms |
4356 KB |
Output is correct |
6 |
Correct |
387 ms |
4360 KB |
Output is correct |
7 |
Correct |
776 ms |
4356 KB |
Output is correct |
8 |
Correct |
1123 ms |
4188 KB |
Output is correct |
9 |
Correct |
1496 ms |
4188 KB |
Output is correct |
10 |
Correct |
1059 ms |
4188 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
464 ms |
4188 KB |
Output is correct |
13 |
Correct |
476 ms |
4368 KB |
Output is correct |
14 |
Correct |
475 ms |
4188 KB |
Output is correct |
15 |
Correct |
1097 ms |
4276 KB |
Output is correct |
16 |
Correct |
1145 ms |
4188 KB |
Output is correct |
17 |
Correct |
1135 ms |
4360 KB |
Output is correct |
18 |
Correct |
1597 ms |
4356 KB |
Output is correct |
19 |
Correct |
1547 ms |
4184 KB |
Output is correct |
20 |
Correct |
1541 ms |
4360 KB |
Output is correct |
21 |
Correct |
0 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 |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
344 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
344 KB |
Output is correct |
33 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
344 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
600 KB |
Output is correct |
49 |
Correct |
1 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
540 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
352 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
3 ms |
860 KB |
Output is correct |
62 |
Correct |
2 ms |
1000 KB |
Output is correct |
63 |
Correct |
6 ms |
1116 KB |
Output is correct |
64 |
Correct |
5 ms |
884 KB |
Output is correct |
65 |
Correct |
7 ms |
856 KB |
Output is correct |
66 |
Correct |
7 ms |
860 KB |
Output is correct |
67 |
Correct |
9 ms |
860 KB |
Output is correct |
68 |
Correct |
9 ms |
860 KB |
Output is correct |
69 |
Correct |
10 ms |
860 KB |
Output is correct |
70 |
Correct |
11 ms |
856 KB |
Output is correct |
71 |
Correct |
13 ms |
860 KB |
Output is correct |
72 |
Correct |
13 ms |
856 KB |
Output is correct |
73 |
Correct |
9 ms |
860 KB |
Output is correct |
74 |
Correct |
9 ms |
856 KB |
Output is correct |
75 |
Correct |
9 ms |
860 KB |
Output is correct |
76 |
Correct |
9 ms |
1004 KB |
Output is correct |
77 |
Correct |
8 ms |
856 KB |
Output is correct |
78 |
Correct |
9 ms |
1000 KB |
Output is correct |
79 |
Correct |
9 ms |
860 KB |
Output is correct |
80 |
Correct |
8 ms |
860 KB |
Output is correct |
81 |
Correct |
1524 ms |
4356 KB |
Output is correct |
82 |
Correct |
1543 ms |
4364 KB |
Output is correct |
83 |
Correct |
1511 ms |
4360 KB |
Output is correct |
84 |
Correct |
1532 ms |
4356 KB |
Output is correct |
85 |
Correct |
1523 ms |
4356 KB |
Output is correct |
86 |
Correct |
1546 ms |
4440 KB |
Output is correct |
87 |
Correct |
1522 ms |
4184 KB |
Output is correct |
88 |
Correct |
157 ms |
4188 KB |
Output is correct |
89 |
Correct |
156 ms |
4184 KB |
Output is correct |
90 |
Correct |
398 ms |
4436 KB |
Output is correct |
91 |
Correct |
379 ms |
4184 KB |
Output is correct |
92 |
Correct |
752 ms |
4184 KB |
Output is correct |
93 |
Correct |
765 ms |
4188 KB |
Output is correct |
94 |
Correct |
1169 ms |
4360 KB |
Output is correct |
95 |
Correct |
1142 ms |
4356 KB |
Output is correct |
96 |
Correct |
1349 ms |
4360 KB |
Output is correct |
97 |
Correct |
1354 ms |
4432 KB |
Output is correct |
98 |
Correct |
1092 ms |
4188 KB |
Output is correct |
99 |
Correct |
1056 ms |
4356 KB |
Output is correct |
100 |
Correct |
1034 ms |
4444 KB |
Output is correct |
101 |
Correct |
1066 ms |
4364 KB |
Output is correct |
102 |
Correct |
1058 ms |
4188 KB |
Output is correct |
103 |
Correct |
1049 ms |
4184 KB |
Output is correct |
104 |
Correct |
1054 ms |
4360 KB |
Output is correct |
105 |
Correct |
1071 ms |
4188 KB |
Output is correct |