#include <bits/stdc++.h>
using namespace std;
#define all(v) v.begin(), v.end()
typedef long long ll;
const int NMAX = 1e5 + 5;
const int inf = 1e6;
const double eps = 1e-10;
int n, k, a, b;
double dp[505][505];
vector<pair<int, int>> v;
double solve(int x){
double ret = 0;
for(int i = 0; i <= n; i++)
for(int j = 0; j <= n; j++) dp[i][j] = 1e9;
dp[0][0] = 0;
for(int i = 0; i < n; i++){
auto&[b, a] = v[i];
for(int j = 0; j <= min(k - x, i); j++){
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + 1.0 * a / (x + 1));
if(i - j < x) dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + 1.0 * b / (i - j + 1));
else dp[i + 1][j] = min(dp[i + 1][j], dp[i][j]);
}
}
return dp[n][k - x];
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> k;
for(int i = 0; i < n; i++){
cin >> a >> b;
if(b == -1) b = inf;
v.emplace_back(b, a);
}
sort(all(v));
double ans = inf;
for(int i = 0; i <= k; i++) ans = min(ans, solve(i));
cout << fixed << setprecision(10) << ans;
return 0;
}
Compilation message
Main.cpp: In function 'double solve(int)':
Main.cpp:20:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
20 | auto&[b, a] = v[i];
| ^
Main.cpp:15:12: warning: unused variable 'ret' [-Wunused-variable]
15 | double ret = 0;
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
7 ms |
2312 KB |
Output is correct |
6 |
Correct |
16 ms |
2260 KB |
Output is correct |
7 |
Correct |
37 ms |
2260 KB |
Output is correct |
8 |
Correct |
63 ms |
2288 KB |
Output is correct |
9 |
Correct |
108 ms |
2292 KB |
Output is correct |
10 |
Correct |
65 ms |
2288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
7 ms |
2312 KB |
Output is correct |
6 |
Correct |
16 ms |
2260 KB |
Output is correct |
7 |
Correct |
37 ms |
2260 KB |
Output is correct |
8 |
Correct |
63 ms |
2288 KB |
Output is correct |
9 |
Correct |
108 ms |
2292 KB |
Output is correct |
10 |
Correct |
65 ms |
2288 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
19 ms |
2308 KB |
Output is correct |
13 |
Correct |
20 ms |
2316 KB |
Output is correct |
14 |
Correct |
19 ms |
2260 KB |
Output is correct |
15 |
Correct |
71 ms |
2292 KB |
Output is correct |
16 |
Correct |
58 ms |
2260 KB |
Output is correct |
17 |
Correct |
58 ms |
2292 KB |
Output is correct |
18 |
Correct |
98 ms |
2260 KB |
Output is correct |
19 |
Correct |
96 ms |
2288 KB |
Output is correct |
20 |
Correct |
96 ms |
2292 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
280 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
324 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
324 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
328 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
324 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
280 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
324 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
324 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
328 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
324 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
768 KB |
Output is correct |
42 |
Correct |
1 ms |
724 KB |
Output is correct |
43 |
Correct |
1 ms |
724 KB |
Output is correct |
44 |
Correct |
1 ms |
724 KB |
Output is correct |
45 |
Correct |
1 ms |
724 KB |
Output is correct |
46 |
Correct |
1 ms |
724 KB |
Output is correct |
47 |
Correct |
1 ms |
724 KB |
Output is correct |
48 |
Correct |
1 ms |
596 KB |
Output is correct |
49 |
Correct |
1 ms |
712 KB |
Output is correct |
50 |
Correct |
1 ms |
724 KB |
Output is correct |
51 |
Correct |
1 ms |
724 KB |
Output is correct |
52 |
Correct |
1 ms |
724 KB |
Output is correct |
53 |
Correct |
1 ms |
724 KB |
Output is correct |
54 |
Correct |
1 ms |
712 KB |
Output is correct |
55 |
Correct |
1 ms |
724 KB |
Output is correct |
56 |
Correct |
1 ms |
724 KB |
Output is correct |
57 |
Correct |
1 ms |
724 KB |
Output is correct |
58 |
Correct |
1 ms |
724 KB |
Output is correct |
59 |
Correct |
1 ms |
724 KB |
Output is correct |
60 |
Correct |
1 ms |
712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
2292 KB |
Output is correct |
2 |
Correct |
95 ms |
2292 KB |
Output is correct |
3 |
Correct |
96 ms |
2292 KB |
Output is correct |
4 |
Correct |
96 ms |
2288 KB |
Output is correct |
5 |
Correct |
95 ms |
2292 KB |
Output is correct |
6 |
Correct |
126 ms |
2288 KB |
Output is correct |
7 |
Correct |
97 ms |
2288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
7 ms |
2312 KB |
Output is correct |
6 |
Correct |
16 ms |
2260 KB |
Output is correct |
7 |
Correct |
37 ms |
2260 KB |
Output is correct |
8 |
Correct |
63 ms |
2288 KB |
Output is correct |
9 |
Correct |
108 ms |
2292 KB |
Output is correct |
10 |
Correct |
65 ms |
2288 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
19 ms |
2308 KB |
Output is correct |
13 |
Correct |
20 ms |
2316 KB |
Output is correct |
14 |
Correct |
19 ms |
2260 KB |
Output is correct |
15 |
Correct |
71 ms |
2292 KB |
Output is correct |
16 |
Correct |
58 ms |
2260 KB |
Output is correct |
17 |
Correct |
58 ms |
2292 KB |
Output is correct |
18 |
Correct |
98 ms |
2260 KB |
Output is correct |
19 |
Correct |
96 ms |
2288 KB |
Output is correct |
20 |
Correct |
96 ms |
2292 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
0 ms |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
280 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
324 KB |
Output is correct |
44 |
Correct |
0 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
336 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
0 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
324 KB |
Output is correct |
50 |
Correct |
1 ms |
340 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
328 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
0 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
324 KB |
Output is correct |
58 |
Correct |
0 ms |
340 KB |
Output is correct |
59 |
Correct |
0 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
768 KB |
Output is correct |
62 |
Correct |
1 ms |
724 KB |
Output is correct |
63 |
Correct |
1 ms |
724 KB |
Output is correct |
64 |
Correct |
1 ms |
724 KB |
Output is correct |
65 |
Correct |
1 ms |
724 KB |
Output is correct |
66 |
Correct |
1 ms |
724 KB |
Output is correct |
67 |
Correct |
1 ms |
724 KB |
Output is correct |
68 |
Correct |
1 ms |
596 KB |
Output is correct |
69 |
Correct |
1 ms |
712 KB |
Output is correct |
70 |
Correct |
1 ms |
724 KB |
Output is correct |
71 |
Correct |
1 ms |
724 KB |
Output is correct |
72 |
Correct |
1 ms |
724 KB |
Output is correct |
73 |
Correct |
1 ms |
724 KB |
Output is correct |
74 |
Correct |
1 ms |
712 KB |
Output is correct |
75 |
Correct |
1 ms |
724 KB |
Output is correct |
76 |
Correct |
1 ms |
724 KB |
Output is correct |
77 |
Correct |
1 ms |
724 KB |
Output is correct |
78 |
Correct |
1 ms |
724 KB |
Output is correct |
79 |
Correct |
1 ms |
724 KB |
Output is correct |
80 |
Correct |
1 ms |
712 KB |
Output is correct |
81 |
Correct |
98 ms |
2292 KB |
Output is correct |
82 |
Correct |
95 ms |
2292 KB |
Output is correct |
83 |
Correct |
96 ms |
2292 KB |
Output is correct |
84 |
Correct |
96 ms |
2288 KB |
Output is correct |
85 |
Correct |
95 ms |
2292 KB |
Output is correct |
86 |
Correct |
126 ms |
2288 KB |
Output is correct |
87 |
Correct |
97 ms |
2288 KB |
Output is correct |
88 |
Correct |
6 ms |
2260 KB |
Output is correct |
89 |
Correct |
6 ms |
2252 KB |
Output is correct |
90 |
Correct |
16 ms |
2264 KB |
Output is correct |
91 |
Correct |
15 ms |
2252 KB |
Output is correct |
92 |
Correct |
36 ms |
2264 KB |
Output is correct |
93 |
Correct |
37 ms |
2264 KB |
Output is correct |
94 |
Correct |
63 ms |
2292 KB |
Output is correct |
95 |
Correct |
64 ms |
2296 KB |
Output is correct |
96 |
Correct |
82 ms |
2296 KB |
Output is correct |
97 |
Correct |
83 ms |
2300 KB |
Output is correct |
98 |
Correct |
72 ms |
2260 KB |
Output is correct |
99 |
Correct |
58 ms |
2296 KB |
Output is correct |
100 |
Correct |
61 ms |
2384 KB |
Output is correct |
101 |
Correct |
70 ms |
2260 KB |
Output is correct |
102 |
Correct |
58 ms |
2260 KB |
Output is correct |
103 |
Correct |
58 ms |
2292 KB |
Output is correct |
104 |
Correct |
58 ms |
2296 KB |
Output is correct |
105 |
Correct |
59 ms |
2300 KB |
Output is correct |