#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <deque>
#include <random>
#include <iomanip>
using namespace std;
template<typename T1, typename T2> inline void chkmin(T1 &a, T2 b) {if (a > b) a = b;}
template<typename T1, typename T2> inline void chkmax(T1 &a, T2 b) {if (a < b) a = b;}
#define files(FILENAME) read(FILENAME); write(FILENAME)
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define all(c) (c).begin(), (c).end()
#define sz(c) (int)(c).size()
#define left left228
#define right right228
#define y1 y1228
#define mp make_pair
#define pb push_back
#define y2 y2228
#define rank rank228
using ll = long long;
using ld = long double;
const string FILENAME = "input";
const int MAXN = 500 + 7;
int n, k;
pair<ld, ld> a[MAXN];
ld dp[MAXN][MAXN];
ld f(ld kek) {
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 = 1; i <= n; i++) {
for (int j = 0; j <= i; j++) {
ld c = i - j;
if (i - j <= kek && i - j != 0) {
chkmin(dp[i][j], dp[i - 1][j] + a[i].first / c);
} else if (i - j > kek) {
chkmin(dp[i][j], dp[i - 1][j]);
}
if (j >= 1) {
chkmin(dp[i][j], dp[i - 1][j - 1] + a[i].second / (kek + 1));
}
}
}
return dp[n][(int)(k - kek)];
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
//read(FILENAME);
cout << setprecision(10) << fixed;
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i].second >> a[i].first;
}
for (int i = 1; i <= n; i++) {
if (a[i].first == -1) {
a[i].first = 1e9;
}
}
sort(a + 1, a + n + 1);
int l = 1, r = k, sol = 0;
while (l <= r) {
int m = (l + r) >> 1;
if (f(m) < f(m - 1)) {
l = m + 1;
sol = m;
} else {
r = m - 1;
}
}
ld res = min(f(sol), f(0));
res = (ld) ((ld) res * (ld) 1e6) / (ld) 1e6;
cout << res << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
24 ms |
4440 KB |
Output is correct |
6 |
Correct |
27 ms |
4444 KB |
Output is correct |
7 |
Correct |
37 ms |
4620 KB |
Output is correct |
8 |
Correct |
35 ms |
4440 KB |
Output is correct |
9 |
Correct |
35 ms |
4440 KB |
Output is correct |
10 |
Correct |
34 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
24 ms |
4440 KB |
Output is correct |
6 |
Correct |
27 ms |
4444 KB |
Output is correct |
7 |
Correct |
37 ms |
4620 KB |
Output is correct |
8 |
Correct |
35 ms |
4440 KB |
Output is correct |
9 |
Correct |
35 ms |
4440 KB |
Output is correct |
10 |
Correct |
34 ms |
4440 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
40 ms |
4440 KB |
Output is correct |
13 |
Correct |
35 ms |
4440 KB |
Output is correct |
14 |
Correct |
38 ms |
4440 KB |
Output is correct |
15 |
Correct |
45 ms |
4440 KB |
Output is correct |
16 |
Correct |
41 ms |
4440 KB |
Output is correct |
17 |
Correct |
55 ms |
4444 KB |
Output is correct |
18 |
Correct |
49 ms |
4444 KB |
Output is correct |
19 |
Correct |
54 ms |
4440 KB |
Output is correct |
20 |
Correct |
42 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
508 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
344 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
508 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
344 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 |
2 ms |
2396 KB |
Output is correct |
42 |
Correct |
2 ms |
2396 KB |
Output is correct |
43 |
Correct |
2 ms |
2396 KB |
Output is correct |
44 |
Correct |
3 ms |
2392 KB |
Output is correct |
45 |
Correct |
2 ms |
2648 KB |
Output is correct |
46 |
Correct |
2 ms |
2396 KB |
Output is correct |
47 |
Correct |
2 ms |
2392 KB |
Output is correct |
48 |
Correct |
3 ms |
2396 KB |
Output is correct |
49 |
Correct |
3 ms |
2392 KB |
Output is correct |
50 |
Correct |
3 ms |
2392 KB |
Output is correct |
51 |
Correct |
2 ms |
2392 KB |
Output is correct |
52 |
Correct |
3 ms |
2392 KB |
Output is correct |
53 |
Correct |
2 ms |
2396 KB |
Output is correct |
54 |
Correct |
2 ms |
2392 KB |
Output is correct |
55 |
Correct |
2 ms |
2396 KB |
Output is correct |
56 |
Correct |
2 ms |
2392 KB |
Output is correct |
57 |
Correct |
3 ms |
2392 KB |
Output is correct |
58 |
Correct |
2 ms |
2396 KB |
Output is correct |
59 |
Correct |
3 ms |
2392 KB |
Output is correct |
60 |
Correct |
2 ms |
2516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
46 ms |
4440 KB |
Output is correct |
2 |
Correct |
47 ms |
4444 KB |
Output is correct |
3 |
Correct |
53 ms |
4440 KB |
Output is correct |
4 |
Correct |
53 ms |
4440 KB |
Output is correct |
5 |
Correct |
50 ms |
4440 KB |
Output is correct |
6 |
Correct |
51 ms |
4440 KB |
Output is correct |
7 |
Correct |
46 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
24 ms |
4440 KB |
Output is correct |
6 |
Correct |
27 ms |
4444 KB |
Output is correct |
7 |
Correct |
37 ms |
4620 KB |
Output is correct |
8 |
Correct |
35 ms |
4440 KB |
Output is correct |
9 |
Correct |
35 ms |
4440 KB |
Output is correct |
10 |
Correct |
34 ms |
4440 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
40 ms |
4440 KB |
Output is correct |
13 |
Correct |
35 ms |
4440 KB |
Output is correct |
14 |
Correct |
38 ms |
4440 KB |
Output is correct |
15 |
Correct |
45 ms |
4440 KB |
Output is correct |
16 |
Correct |
41 ms |
4440 KB |
Output is correct |
17 |
Correct |
55 ms |
4444 KB |
Output is correct |
18 |
Correct |
49 ms |
4444 KB |
Output is correct |
19 |
Correct |
54 ms |
4440 KB |
Output is correct |
20 |
Correct |
42 ms |
4440 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
600 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
0 ms |
344 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
600 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
344 KB |
Output is correct |
42 |
Correct |
1 ms |
460 KB |
Output is correct |
43 |
Correct |
1 ms |
344 KB |
Output is correct |
44 |
Correct |
1 ms |
344 KB |
Output is correct |
45 |
Correct |
1 ms |
604 KB |
Output is correct |
46 |
Correct |
1 ms |
344 KB |
Output is correct |
47 |
Correct |
1 ms |
344 KB |
Output is correct |
48 |
Correct |
0 ms |
344 KB |
Output is correct |
49 |
Correct |
1 ms |
508 KB |
Output is correct |
50 |
Correct |
1 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
344 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
344 KB |
Output is correct |
57 |
Correct |
1 ms |
344 KB |
Output is correct |
58 |
Correct |
1 ms |
344 KB |
Output is correct |
59 |
Correct |
1 ms |
344 KB |
Output is correct |
60 |
Correct |
1 ms |
344 KB |
Output is correct |
61 |
Correct |
2 ms |
2396 KB |
Output is correct |
62 |
Correct |
2 ms |
2396 KB |
Output is correct |
63 |
Correct |
2 ms |
2396 KB |
Output is correct |
64 |
Correct |
3 ms |
2392 KB |
Output is correct |
65 |
Correct |
2 ms |
2648 KB |
Output is correct |
66 |
Correct |
2 ms |
2396 KB |
Output is correct |
67 |
Correct |
2 ms |
2392 KB |
Output is correct |
68 |
Correct |
3 ms |
2396 KB |
Output is correct |
69 |
Correct |
3 ms |
2392 KB |
Output is correct |
70 |
Correct |
3 ms |
2392 KB |
Output is correct |
71 |
Correct |
2 ms |
2392 KB |
Output is correct |
72 |
Correct |
3 ms |
2392 KB |
Output is correct |
73 |
Correct |
2 ms |
2396 KB |
Output is correct |
74 |
Correct |
2 ms |
2392 KB |
Output is correct |
75 |
Correct |
2 ms |
2396 KB |
Output is correct |
76 |
Correct |
2 ms |
2392 KB |
Output is correct |
77 |
Correct |
3 ms |
2392 KB |
Output is correct |
78 |
Correct |
2 ms |
2396 KB |
Output is correct |
79 |
Correct |
3 ms |
2392 KB |
Output is correct |
80 |
Correct |
2 ms |
2516 KB |
Output is correct |
81 |
Correct |
46 ms |
4440 KB |
Output is correct |
82 |
Correct |
47 ms |
4444 KB |
Output is correct |
83 |
Correct |
53 ms |
4440 KB |
Output is correct |
84 |
Correct |
53 ms |
4440 KB |
Output is correct |
85 |
Correct |
50 ms |
4440 KB |
Output is correct |
86 |
Correct |
51 ms |
4440 KB |
Output is correct |
87 |
Correct |
46 ms |
4440 KB |
Output is correct |
88 |
Correct |
30 ms |
4464 KB |
Output is correct |
89 |
Correct |
34 ms |
4440 KB |
Output is correct |
90 |
Correct |
35 ms |
4440 KB |
Output is correct |
91 |
Correct |
35 ms |
4444 KB |
Output is correct |
92 |
Correct |
45 ms |
4440 KB |
Output is correct |
93 |
Correct |
40 ms |
4444 KB |
Output is correct |
94 |
Correct |
44 ms |
4440 KB |
Output is correct |
95 |
Correct |
46 ms |
4440 KB |
Output is correct |
96 |
Correct |
46 ms |
4440 KB |
Output is correct |
97 |
Correct |
46 ms |
4440 KB |
Output is correct |
98 |
Correct |
48 ms |
4444 KB |
Output is correct |
99 |
Correct |
50 ms |
4444 KB |
Output is correct |
100 |
Correct |
55 ms |
4444 KB |
Output is correct |
101 |
Correct |
46 ms |
4440 KB |
Output is correct |
102 |
Correct |
41 ms |
4440 KB |
Output is correct |
103 |
Correct |
49 ms |
4440 KB |
Output is correct |
104 |
Correct |
43 ms |
4440 KB |
Output is correct |
105 |
Correct |
44 ms |
4440 KB |
Output is correct |