#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
typedef double ld;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cerr.precision(100);
cout.precision(100);
int n, k; cin >> n >> k;
vector<pair<int, int>> v(n);
for(auto &p: v) cin >> p.f >> p.sc;
sort(v.begin(), v.end(), [](pair<ld, ld> a, pair<ld, ld> b){
swap(a.f, a.sc);
swap(b.f, b.sc);
if(a.f == -1) a.f = 1e9;
if(b.f == -1) b.f = 1e9;
return a < b;
});
vector<vector<ld>> last(n, vector<ld>(n+1, 1e6));
for(int i = 0; i < n; i++) last[i][0] = 0;
for(int c = 1; c <= n; c++){
priority_queue<int> pq;
int s = 0;
for(int i = n-1; i >= n-c; i--) pq.push(v[i].f), s+=v[i].f;
last[n-c][c] = s;
for(int i = n-c-1; i >= 0; i--){
if(v[i].f < pq.top()) s-=pq.top(), pq.pop(), pq.push(v[i].f), s+=v[i].f;
last[i][c] = s;
}
}
ld ans = last[0][k];
for(int c = 0; c <= k; c++){
vector<vector<ld>> dp(n, vector<ld>(c+1, 1e6));
for(int i = 0; i < n; i++){
for(int j = 0; j <= min(i+1, c); j++){
if(i == 0){
if(j == 0) dp[i][j] = ld(v[i].f)/ld(c+1);
else if(j == 1 && v[i].sc != -1) dp[i][j] = v[i].sc;
continue;
}
if(i >= j)
dp[i][j] = min(dp[i][j], dp[i-1][j]+ld(v[i].f)/ld(c+1));
if(v[i].sc != -1 && j > 0)
dp[i][j] = min(dp[i][j], dp[i-1][j-1]+ld(v[i].sc)/ld(j));
}
}
for(int i = 0; i < k; i++)
ans = min(ans, dp[i][c] + (i == n-1 ? 0.0 : last[i+1][k-i-1]/ld(c+1)));
}
cout << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
10 ms |
2524 KB |
Output is correct |
6 |
Correct |
26 ms |
3068 KB |
Output is correct |
7 |
Correct |
81 ms |
3488 KB |
Output is correct |
8 |
Correct |
174 ms |
4012 KB |
Output is correct |
9 |
Correct |
281 ms |
4612 KB |
Output is correct |
10 |
Correct |
150 ms |
4052 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
10 ms |
2524 KB |
Output is correct |
6 |
Correct |
26 ms |
3068 KB |
Output is correct |
7 |
Correct |
81 ms |
3488 KB |
Output is correct |
8 |
Correct |
174 ms |
4012 KB |
Output is correct |
9 |
Correct |
281 ms |
4612 KB |
Output is correct |
10 |
Correct |
150 ms |
4052 KB |
Output is correct |
11 |
Correct |
1 ms |
312 KB |
Output is correct |
12 |
Correct |
55 ms |
3256 KB |
Output is correct |
13 |
Correct |
44 ms |
3132 KB |
Output is correct |
14 |
Correct |
37 ms |
3092 KB |
Output is correct |
15 |
Correct |
242 ms |
3968 KB |
Output is correct |
16 |
Correct |
177 ms |
3900 KB |
Output is correct |
17 |
Correct |
152 ms |
3872 KB |
Output is correct |
18 |
Correct |
409 ms |
4588 KB |
Output is correct |
19 |
Correct |
338 ms |
4712 KB |
Output is correct |
20 |
Correct |
305 ms |
4584 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 |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 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 |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 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 |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
1 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 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 |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 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 |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
1 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
400 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
2 ms |
460 KB |
Output is correct |
46 |
Correct |
2 ms |
460 KB |
Output is correct |
47 |
Correct |
2 ms |
460 KB |
Output is correct |
48 |
Correct |
2 ms |
460 KB |
Output is correct |
49 |
Correct |
3 ms |
524 KB |
Output is correct |
50 |
Correct |
2 ms |
460 KB |
Output is correct |
51 |
Correct |
3 ms |
588 KB |
Output is correct |
52 |
Correct |
3 ms |
580 KB |
Output is correct |
53 |
Correct |
2 ms |
460 KB |
Output is correct |
54 |
Correct |
2 ms |
460 KB |
Output is correct |
55 |
Correct |
2 ms |
460 KB |
Output is correct |
56 |
Correct |
2 ms |
460 KB |
Output is correct |
57 |
Correct |
3 ms |
460 KB |
Output is correct |
58 |
Correct |
2 ms |
460 KB |
Output is correct |
59 |
Correct |
2 ms |
460 KB |
Output is correct |
60 |
Correct |
2 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
427 ms |
4588 KB |
Output is correct |
2 |
Correct |
406 ms |
4556 KB |
Output is correct |
3 |
Correct |
420 ms |
4636 KB |
Output is correct |
4 |
Correct |
404 ms |
4512 KB |
Output is correct |
5 |
Correct |
418 ms |
4572 KB |
Output is correct |
6 |
Correct |
402 ms |
4540 KB |
Output is correct |
7 |
Correct |
418 ms |
4536 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
10 ms |
2524 KB |
Output is correct |
6 |
Correct |
26 ms |
3068 KB |
Output is correct |
7 |
Correct |
81 ms |
3488 KB |
Output is correct |
8 |
Correct |
174 ms |
4012 KB |
Output is correct |
9 |
Correct |
281 ms |
4612 KB |
Output is correct |
10 |
Correct |
150 ms |
4052 KB |
Output is correct |
11 |
Correct |
1 ms |
312 KB |
Output is correct |
12 |
Correct |
55 ms |
3256 KB |
Output is correct |
13 |
Correct |
44 ms |
3132 KB |
Output is correct |
14 |
Correct |
37 ms |
3092 KB |
Output is correct |
15 |
Correct |
242 ms |
3968 KB |
Output is correct |
16 |
Correct |
177 ms |
3900 KB |
Output is correct |
17 |
Correct |
152 ms |
3872 KB |
Output is correct |
18 |
Correct |
409 ms |
4588 KB |
Output is correct |
19 |
Correct |
338 ms |
4712 KB |
Output is correct |
20 |
Correct |
305 ms |
4584 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
0 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
0 ms |
204 KB |
Output is correct |
44 |
Correct |
0 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
0 ms |
204 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
0 ms |
204 KB |
Output is correct |
51 |
Correct |
0 ms |
204 KB |
Output is correct |
52 |
Correct |
1 ms |
204 KB |
Output is correct |
53 |
Correct |
1 ms |
204 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
0 ms |
204 KB |
Output is correct |
56 |
Correct |
1 ms |
204 KB |
Output is correct |
57 |
Correct |
1 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
204 KB |
Output is correct |
59 |
Correct |
0 ms |
204 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
400 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
1 ms |
332 KB |
Output is correct |
65 |
Correct |
2 ms |
460 KB |
Output is correct |
66 |
Correct |
2 ms |
460 KB |
Output is correct |
67 |
Correct |
2 ms |
460 KB |
Output is correct |
68 |
Correct |
2 ms |
460 KB |
Output is correct |
69 |
Correct |
3 ms |
524 KB |
Output is correct |
70 |
Correct |
2 ms |
460 KB |
Output is correct |
71 |
Correct |
3 ms |
588 KB |
Output is correct |
72 |
Correct |
3 ms |
580 KB |
Output is correct |
73 |
Correct |
2 ms |
460 KB |
Output is correct |
74 |
Correct |
2 ms |
460 KB |
Output is correct |
75 |
Correct |
2 ms |
460 KB |
Output is correct |
76 |
Correct |
2 ms |
460 KB |
Output is correct |
77 |
Correct |
3 ms |
460 KB |
Output is correct |
78 |
Correct |
2 ms |
460 KB |
Output is correct |
79 |
Correct |
2 ms |
460 KB |
Output is correct |
80 |
Correct |
2 ms |
460 KB |
Output is correct |
81 |
Correct |
427 ms |
4588 KB |
Output is correct |
82 |
Correct |
406 ms |
4556 KB |
Output is correct |
83 |
Correct |
420 ms |
4636 KB |
Output is correct |
84 |
Correct |
404 ms |
4512 KB |
Output is correct |
85 |
Correct |
418 ms |
4572 KB |
Output is correct |
86 |
Correct |
402 ms |
4540 KB |
Output is correct |
87 |
Correct |
418 ms |
4536 KB |
Output is correct |
88 |
Correct |
14 ms |
2524 KB |
Output is correct |
89 |
Correct |
13 ms |
2524 KB |
Output is correct |
90 |
Correct |
39 ms |
3004 KB |
Output is correct |
91 |
Correct |
38 ms |
3000 KB |
Output is correct |
92 |
Correct |
122 ms |
3508 KB |
Output is correct |
93 |
Correct |
128 ms |
3656 KB |
Output is correct |
94 |
Correct |
251 ms |
4012 KB |
Output is correct |
95 |
Correct |
248 ms |
4092 KB |
Output is correct |
96 |
Correct |
345 ms |
4384 KB |
Output is correct |
97 |
Correct |
360 ms |
4368 KB |
Output is correct |
98 |
Correct |
221 ms |
3880 KB |
Output is correct |
99 |
Correct |
217 ms |
3988 KB |
Output is correct |
100 |
Correct |
222 ms |
3880 KB |
Output is correct |
101 |
Correct |
221 ms |
3952 KB |
Output is correct |
102 |
Correct |
218 ms |
3972 KB |
Output is correct |
103 |
Correct |
220 ms |
3872 KB |
Output is correct |
104 |
Correct |
222 ms |
3888 KB |
Output is correct |
105 |
Correct |
213 ms |
3952 KB |
Output is correct |