#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
const ld inf = 1e16;
int n, k;
const int MAXN = 525;
pair <int, int> a[MAXN];
ld pre[MAXN][MAXN];
int main () {
cin >> n >> k;
for (int i = 1; i <= n; i++) cin >> a[i].first >> a[i].second;
cout << fixed << setprecision(9);
sort(a + 1, a + n + 1, [&] (pair <int, int> &x, pair <int, int> &y) {
if (x.second == -1) return bool(0);
return x.second == y.second ? x.first < y.first : ((y.second == -1) || (x.second < y.second));
});
for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) pre[i][j] = inf;
for (int i = 1; i <= n; i++) {
vector <int> xx;
for (int j = i; j <= n; j++) xx.push_back(a[j].first);
sort(xx.begin(), xx.end());
int sum = 0;
for (int j = 0; j < (int)xx.size(); j++) {
sum += xx[j];
pre[i][j + 1] = sum;
}
pre[i][0] = 0;
}
ld mn = 1e18;
for (int sze = 0; sze <= k; sze++) {
ld dp[n + 1][sze + 1];
for (int j = 1; j <= sze; j++) {
dp[0][j] = inf;
}
dp[0][0] = 0;
mn = min(mn, 1.0 * pre[1][k] / (sze + 1) + dp[0][sze]);
for (int i = 1; i <= n; i++) {
for (int j = 0; j <= sze; j++) dp[i][j] = inf;
for (int j = 0; j <= min(sze, i); j++) {
if (i - j) dp[i][j] = dp[i - 1][j] + 1.0 * a[i].first / (sze + 1);
if (a[i].second != -1 && j) dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + 1.0 * a[i].second / j);
}
if (k >= i) {
mn = min(mn, 1.0 * pre[i + 1][k - i] / (sze + 1) + dp[i][sze]);
}
if (k == i) {
mn = min(mn, dp[i][sze]);
}
}
}
cout << mn << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4700 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
3 ms |
4696 KB |
Output is correct |
5 |
Correct |
10 ms |
4956 KB |
Output is correct |
6 |
Correct |
27 ms |
5612 KB |
Output is correct |
7 |
Correct |
88 ms |
6548 KB |
Output is correct |
8 |
Correct |
173 ms |
7508 KB |
Output is correct |
9 |
Correct |
278 ms |
8464 KB |
Output is correct |
10 |
Correct |
145 ms |
7248 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4700 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
3 ms |
4696 KB |
Output is correct |
5 |
Correct |
10 ms |
4956 KB |
Output is correct |
6 |
Correct |
27 ms |
5612 KB |
Output is correct |
7 |
Correct |
88 ms |
6548 KB |
Output is correct |
8 |
Correct |
173 ms |
7508 KB |
Output is correct |
9 |
Correct |
278 ms |
8464 KB |
Output is correct |
10 |
Correct |
145 ms |
7248 KB |
Output is correct |
11 |
Correct |
2 ms |
4696 KB |
Output is correct |
12 |
Correct |
61 ms |
5816 KB |
Output is correct |
13 |
Correct |
51 ms |
5716 KB |
Output is correct |
14 |
Correct |
39 ms |
5716 KB |
Output is correct |
15 |
Correct |
279 ms |
7388 KB |
Output is correct |
16 |
Correct |
206 ms |
7248 KB |
Output is correct |
17 |
Correct |
158 ms |
7420 KB |
Output is correct |
18 |
Correct |
502 ms |
8496 KB |
Output is correct |
19 |
Correct |
381 ms |
8592 KB |
Output is correct |
20 |
Correct |
287 ms |
8788 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4696 KB |
Output is correct |
2 |
Correct |
2 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
1 ms |
4700 KB |
Output is correct |
5 |
Correct |
1 ms |
4700 KB |
Output is correct |
6 |
Correct |
1 ms |
4700 KB |
Output is correct |
7 |
Correct |
1 ms |
4700 KB |
Output is correct |
8 |
Correct |
1 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
4700 KB |
Output is correct |
11 |
Correct |
2 ms |
4700 KB |
Output is correct |
12 |
Correct |
1 ms |
4700 KB |
Output is correct |
13 |
Correct |
1 ms |
4700 KB |
Output is correct |
14 |
Correct |
1 ms |
4700 KB |
Output is correct |
15 |
Correct |
1 ms |
4700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4696 KB |
Output is correct |
2 |
Correct |
2 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
1 ms |
4700 KB |
Output is correct |
5 |
Correct |
1 ms |
4700 KB |
Output is correct |
6 |
Correct |
1 ms |
4700 KB |
Output is correct |
7 |
Correct |
1 ms |
4700 KB |
Output is correct |
8 |
Correct |
1 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
4700 KB |
Output is correct |
11 |
Correct |
2 ms |
4700 KB |
Output is correct |
12 |
Correct |
1 ms |
4700 KB |
Output is correct |
13 |
Correct |
1 ms |
4700 KB |
Output is correct |
14 |
Correct |
1 ms |
4700 KB |
Output is correct |
15 |
Correct |
1 ms |
4700 KB |
Output is correct |
16 |
Correct |
1 ms |
4700 KB |
Output is correct |
17 |
Correct |
1 ms |
4700 KB |
Output is correct |
18 |
Correct |
1 ms |
4696 KB |
Output is correct |
19 |
Correct |
1 ms |
4700 KB |
Output is correct |
20 |
Correct |
1 ms |
4700 KB |
Output is correct |
21 |
Correct |
1 ms |
4716 KB |
Output is correct |
22 |
Correct |
2 ms |
4700 KB |
Output is correct |
23 |
Correct |
1 ms |
4700 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
1 ms |
4720 KB |
Output is correct |
26 |
Correct |
2 ms |
4700 KB |
Output is correct |
27 |
Correct |
1 ms |
4700 KB |
Output is correct |
28 |
Correct |
2 ms |
4700 KB |
Output is correct |
29 |
Correct |
2 ms |
4700 KB |
Output is correct |
30 |
Correct |
1 ms |
4700 KB |
Output is correct |
31 |
Correct |
2 ms |
4696 KB |
Output is correct |
32 |
Correct |
1 ms |
4696 KB |
Output is correct |
33 |
Correct |
1 ms |
4696 KB |
Output is correct |
34 |
Correct |
1 ms |
4696 KB |
Output is correct |
35 |
Correct |
1 ms |
4700 KB |
Output is correct |
36 |
Correct |
1 ms |
4700 KB |
Output is correct |
37 |
Correct |
1 ms |
4700 KB |
Output is correct |
38 |
Correct |
1 ms |
4700 KB |
Output is correct |
39 |
Correct |
1 ms |
4700 KB |
Output is correct |
40 |
Correct |
1 ms |
4700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4696 KB |
Output is correct |
2 |
Correct |
2 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
1 ms |
4700 KB |
Output is correct |
5 |
Correct |
1 ms |
4700 KB |
Output is correct |
6 |
Correct |
1 ms |
4700 KB |
Output is correct |
7 |
Correct |
1 ms |
4700 KB |
Output is correct |
8 |
Correct |
1 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4700 KB |
Output is correct |
10 |
Correct |
1 ms |
4700 KB |
Output is correct |
11 |
Correct |
2 ms |
4700 KB |
Output is correct |
12 |
Correct |
1 ms |
4700 KB |
Output is correct |
13 |
Correct |
1 ms |
4700 KB |
Output is correct |
14 |
Correct |
1 ms |
4700 KB |
Output is correct |
15 |
Correct |
1 ms |
4700 KB |
Output is correct |
16 |
Correct |
1 ms |
4700 KB |
Output is correct |
17 |
Correct |
1 ms |
4700 KB |
Output is correct |
18 |
Correct |
1 ms |
4696 KB |
Output is correct |
19 |
Correct |
1 ms |
4700 KB |
Output is correct |
20 |
Correct |
1 ms |
4700 KB |
Output is correct |
21 |
Correct |
1 ms |
4716 KB |
Output is correct |
22 |
Correct |
2 ms |
4700 KB |
Output is correct |
23 |
Correct |
1 ms |
4700 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
1 ms |
4720 KB |
Output is correct |
26 |
Correct |
2 ms |
4700 KB |
Output is correct |
27 |
Correct |
1 ms |
4700 KB |
Output is correct |
28 |
Correct |
2 ms |
4700 KB |
Output is correct |
29 |
Correct |
2 ms |
4700 KB |
Output is correct |
30 |
Correct |
1 ms |
4700 KB |
Output is correct |
31 |
Correct |
2 ms |
4696 KB |
Output is correct |
32 |
Correct |
1 ms |
4696 KB |
Output is correct |
33 |
Correct |
1 ms |
4696 KB |
Output is correct |
34 |
Correct |
1 ms |
4696 KB |
Output is correct |
35 |
Correct |
1 ms |
4700 KB |
Output is correct |
36 |
Correct |
1 ms |
4700 KB |
Output is correct |
37 |
Correct |
1 ms |
4700 KB |
Output is correct |
38 |
Correct |
1 ms |
4700 KB |
Output is correct |
39 |
Correct |
1 ms |
4700 KB |
Output is correct |
40 |
Correct |
1 ms |
4700 KB |
Output is correct |
41 |
Correct |
2 ms |
4700 KB |
Output is correct |
42 |
Correct |
2 ms |
4700 KB |
Output is correct |
43 |
Correct |
2 ms |
4700 KB |
Output is correct |
44 |
Correct |
2 ms |
4760 KB |
Output is correct |
45 |
Correct |
3 ms |
4700 KB |
Output is correct |
46 |
Correct |
3 ms |
4952 KB |
Output is correct |
47 |
Correct |
4 ms |
4700 KB |
Output is correct |
48 |
Correct |
3 ms |
4700 KB |
Output is correct |
49 |
Correct |
4 ms |
4820 KB |
Output is correct |
50 |
Correct |
4 ms |
4700 KB |
Output is correct |
51 |
Correct |
5 ms |
4840 KB |
Output is correct |
52 |
Correct |
6 ms |
4700 KB |
Output is correct |
53 |
Correct |
4 ms |
4704 KB |
Output is correct |
54 |
Correct |
4 ms |
4708 KB |
Output is correct |
55 |
Correct |
3 ms |
4704 KB |
Output is correct |
56 |
Correct |
4 ms |
4696 KB |
Output is correct |
57 |
Correct |
4 ms |
4704 KB |
Output is correct |
58 |
Correct |
3 ms |
4856 KB |
Output is correct |
59 |
Correct |
4 ms |
4704 KB |
Output is correct |
60 |
Correct |
4 ms |
4812 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
498 ms |
8468 KB |
Output is correct |
2 |
Correct |
492 ms |
8644 KB |
Output is correct |
3 |
Correct |
512 ms |
8532 KB |
Output is correct |
4 |
Correct |
496 ms |
8616 KB |
Output is correct |
5 |
Correct |
492 ms |
8460 KB |
Output is correct |
6 |
Correct |
502 ms |
8480 KB |
Output is correct |
7 |
Correct |
510 ms |
8836 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4700 KB |
Output is correct |
3 |
Correct |
1 ms |
4700 KB |
Output is correct |
4 |
Correct |
3 ms |
4696 KB |
Output is correct |
5 |
Correct |
10 ms |
4956 KB |
Output is correct |
6 |
Correct |
27 ms |
5612 KB |
Output is correct |
7 |
Correct |
88 ms |
6548 KB |
Output is correct |
8 |
Correct |
173 ms |
7508 KB |
Output is correct |
9 |
Correct |
278 ms |
8464 KB |
Output is correct |
10 |
Correct |
145 ms |
7248 KB |
Output is correct |
11 |
Correct |
2 ms |
4696 KB |
Output is correct |
12 |
Correct |
61 ms |
5816 KB |
Output is correct |
13 |
Correct |
51 ms |
5716 KB |
Output is correct |
14 |
Correct |
39 ms |
5716 KB |
Output is correct |
15 |
Correct |
279 ms |
7388 KB |
Output is correct |
16 |
Correct |
206 ms |
7248 KB |
Output is correct |
17 |
Correct |
158 ms |
7420 KB |
Output is correct |
18 |
Correct |
502 ms |
8496 KB |
Output is correct |
19 |
Correct |
381 ms |
8592 KB |
Output is correct |
20 |
Correct |
287 ms |
8788 KB |
Output is correct |
21 |
Correct |
1 ms |
4696 KB |
Output is correct |
22 |
Correct |
2 ms |
4696 KB |
Output is correct |
23 |
Correct |
1 ms |
4700 KB |
Output is correct |
24 |
Correct |
1 ms |
4700 KB |
Output is correct |
25 |
Correct |
1 ms |
4700 KB |
Output is correct |
26 |
Correct |
1 ms |
4700 KB |
Output is correct |
27 |
Correct |
1 ms |
4700 KB |
Output is correct |
28 |
Correct |
1 ms |
4700 KB |
Output is correct |
29 |
Correct |
2 ms |
4700 KB |
Output is correct |
30 |
Correct |
1 ms |
4700 KB |
Output is correct |
31 |
Correct |
2 ms |
4700 KB |
Output is correct |
32 |
Correct |
1 ms |
4700 KB |
Output is correct |
33 |
Correct |
1 ms |
4700 KB |
Output is correct |
34 |
Correct |
1 ms |
4700 KB |
Output is correct |
35 |
Correct |
1 ms |
4700 KB |
Output is correct |
36 |
Correct |
1 ms |
4700 KB |
Output is correct |
37 |
Correct |
1 ms |
4700 KB |
Output is correct |
38 |
Correct |
1 ms |
4696 KB |
Output is correct |
39 |
Correct |
1 ms |
4700 KB |
Output is correct |
40 |
Correct |
1 ms |
4700 KB |
Output is correct |
41 |
Correct |
1 ms |
4716 KB |
Output is correct |
42 |
Correct |
2 ms |
4700 KB |
Output is correct |
43 |
Correct |
1 ms |
4700 KB |
Output is correct |
44 |
Correct |
1 ms |
4700 KB |
Output is correct |
45 |
Correct |
1 ms |
4720 KB |
Output is correct |
46 |
Correct |
2 ms |
4700 KB |
Output is correct |
47 |
Correct |
1 ms |
4700 KB |
Output is correct |
48 |
Correct |
2 ms |
4700 KB |
Output is correct |
49 |
Correct |
2 ms |
4700 KB |
Output is correct |
50 |
Correct |
1 ms |
4700 KB |
Output is correct |
51 |
Correct |
2 ms |
4696 KB |
Output is correct |
52 |
Correct |
1 ms |
4696 KB |
Output is correct |
53 |
Correct |
1 ms |
4696 KB |
Output is correct |
54 |
Correct |
1 ms |
4696 KB |
Output is correct |
55 |
Correct |
1 ms |
4700 KB |
Output is correct |
56 |
Correct |
1 ms |
4700 KB |
Output is correct |
57 |
Correct |
1 ms |
4700 KB |
Output is correct |
58 |
Correct |
1 ms |
4700 KB |
Output is correct |
59 |
Correct |
1 ms |
4700 KB |
Output is correct |
60 |
Correct |
1 ms |
4700 KB |
Output is correct |
61 |
Correct |
2 ms |
4700 KB |
Output is correct |
62 |
Correct |
2 ms |
4700 KB |
Output is correct |
63 |
Correct |
2 ms |
4700 KB |
Output is correct |
64 |
Correct |
2 ms |
4760 KB |
Output is correct |
65 |
Correct |
3 ms |
4700 KB |
Output is correct |
66 |
Correct |
3 ms |
4952 KB |
Output is correct |
67 |
Correct |
4 ms |
4700 KB |
Output is correct |
68 |
Correct |
3 ms |
4700 KB |
Output is correct |
69 |
Correct |
4 ms |
4820 KB |
Output is correct |
70 |
Correct |
4 ms |
4700 KB |
Output is correct |
71 |
Correct |
5 ms |
4840 KB |
Output is correct |
72 |
Correct |
6 ms |
4700 KB |
Output is correct |
73 |
Correct |
4 ms |
4704 KB |
Output is correct |
74 |
Correct |
4 ms |
4708 KB |
Output is correct |
75 |
Correct |
3 ms |
4704 KB |
Output is correct |
76 |
Correct |
4 ms |
4696 KB |
Output is correct |
77 |
Correct |
4 ms |
4704 KB |
Output is correct |
78 |
Correct |
3 ms |
4856 KB |
Output is correct |
79 |
Correct |
4 ms |
4704 KB |
Output is correct |
80 |
Correct |
4 ms |
4812 KB |
Output is correct |
81 |
Correct |
498 ms |
8468 KB |
Output is correct |
82 |
Correct |
492 ms |
8644 KB |
Output is correct |
83 |
Correct |
512 ms |
8532 KB |
Output is correct |
84 |
Correct |
496 ms |
8616 KB |
Output is correct |
85 |
Correct |
492 ms |
8460 KB |
Output is correct |
86 |
Correct |
502 ms |
8480 KB |
Output is correct |
87 |
Correct |
510 ms |
8836 KB |
Output is correct |
88 |
Correct |
12 ms |
4996 KB |
Output is correct |
89 |
Correct |
13 ms |
4956 KB |
Output is correct |
90 |
Correct |
46 ms |
5536 KB |
Output is correct |
91 |
Correct |
47 ms |
5720 KB |
Output is correct |
92 |
Correct |
152 ms |
6644 KB |
Output is correct |
93 |
Correct |
153 ms |
6664 KB |
Output is correct |
94 |
Correct |
306 ms |
7508 KB |
Output is correct |
95 |
Correct |
324 ms |
7684 KB |
Output is correct |
96 |
Correct |
425 ms |
8164 KB |
Output is correct |
97 |
Correct |
432 ms |
8448 KB |
Output is correct |
98 |
Correct |
276 ms |
7388 KB |
Output is correct |
99 |
Correct |
287 ms |
7660 KB |
Output is correct |
100 |
Correct |
272 ms |
7400 KB |
Output is correct |
101 |
Correct |
304 ms |
7372 KB |
Output is correct |
102 |
Correct |
279 ms |
7340 KB |
Output is correct |
103 |
Correct |
276 ms |
7248 KB |
Output is correct |
104 |
Correct |
281 ms |
7400 KB |
Output is correct |
105 |
Correct |
271 ms |
7328 KB |
Output is correct |