#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define f first
#define s second
#define pb push_back
#define ep emplace
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define uniquev(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define mem(f,x) memset(f , x , sizeof(f))
#define sz(x) (ll)(x).size()
#define __lcm(a, b) (1ll * ((a) / __gcd((a), (b))) * (b))
#define mxx *max_element
#define mnn *min_element
#define cntbit(x) __builtin_popcountll(x)
#define len(x) (int)(x.length())
const int N = 500 + 10;
double a[N], b[N];
double f[N][N], cost[N][N];
int order[N];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
if (b[i] < 0)
b[i] = 1e9;
order[i] = i;
}
sort(order + 1, order + 1 + n, [&] (int x, int y) {return b[x] < b[y];});
vector <double> lst;
for (int i = n; i >= 1; i--) {
lst.pb(a[order[i]]);
sort(all(lst));
double sum = 0;
cost[i][0] = 0;
for (int j = 0; j < sz(lst); j++) {
sum += lst[j];
cost[i][j + 1] = sum;
}
}
double ans = cost[1][k];
for (int num = 0; num <= k; num++) {
for (int i = 0; i <= k; i++) {
for (int j = 0; j <= k; j++)
f[i][j] = 1e9;
}
f[0][0] = 0;
for (int i = 1; i <= k; i++) {
for (int j = 0; j <= i; j++) {
f[i][j] = f[i - 1][j] + a[order[i]] / double(num + 1);
if (j > 0) {
f[i][j] = min(f[i][j], f[i - 1][j - 1] + b[order[i]] / double(j));
}
if (j == num) {
int r = k - i;
ans = min(ans, f[i][j] + cost[i + 1][r] / double(num + 1));
}
}
}
}
cout << fixed << setprecision(10) << ans << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2648 KB |
Output is correct |
6 |
Correct |
4 ms |
2904 KB |
Output is correct |
7 |
Correct |
19 ms |
3416 KB |
Output is correct |
8 |
Correct |
52 ms |
3932 KB |
Output is correct |
9 |
Correct |
119 ms |
4232 KB |
Output is correct |
10 |
Correct |
43 ms |
3672 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2648 KB |
Output is correct |
6 |
Correct |
4 ms |
2904 KB |
Output is correct |
7 |
Correct |
19 ms |
3416 KB |
Output is correct |
8 |
Correct |
52 ms |
3932 KB |
Output is correct |
9 |
Correct |
119 ms |
4232 KB |
Output is correct |
10 |
Correct |
43 ms |
3672 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
7 ms |
2908 KB |
Output is correct |
13 |
Correct |
6 ms |
2908 KB |
Output is correct |
14 |
Correct |
7 ms |
2904 KB |
Output is correct |
15 |
Correct |
45 ms |
3676 KB |
Output is correct |
16 |
Correct |
45 ms |
3928 KB |
Output is correct |
17 |
Correct |
44 ms |
3676 KB |
Output is correct |
18 |
Correct |
124 ms |
4456 KB |
Output is correct |
19 |
Correct |
126 ms |
4444 KB |
Output is correct |
20 |
Correct |
118 ms |
4460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
604 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
500 KB |
Output is correct |
23 |
Correct |
0 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
600 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
400 KB |
Output is correct |
32 |
Correct |
0 ms |
604 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
604 KB |
Output is correct |
35 |
Correct |
0 ms |
604 KB |
Output is correct |
36 |
Correct |
0 ms |
604 KB |
Output is correct |
37 |
Correct |
0 ms |
604 KB |
Output is correct |
38 |
Correct |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
0 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
604 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
500 KB |
Output is correct |
23 |
Correct |
0 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
600 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
400 KB |
Output is correct |
32 |
Correct |
0 ms |
604 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
604 KB |
Output is correct |
35 |
Correct |
0 ms |
604 KB |
Output is correct |
36 |
Correct |
0 ms |
604 KB |
Output is correct |
37 |
Correct |
0 ms |
604 KB |
Output is correct |
38 |
Correct |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
0 ms |
604 KB |
Output is correct |
41 |
Correct |
1 ms |
860 KB |
Output is correct |
42 |
Correct |
1 ms |
860 KB |
Output is correct |
43 |
Correct |
0 ms |
980 KB |
Output is correct |
44 |
Correct |
0 ms |
976 KB |
Output is correct |
45 |
Correct |
1 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
860 KB |
Output is correct |
47 |
Correct |
1 ms |
1116 KB |
Output is correct |
48 |
Correct |
1 ms |
1116 KB |
Output is correct |
49 |
Correct |
2 ms |
1120 KB |
Output is correct |
50 |
Correct |
1 ms |
1124 KB |
Output is correct |
51 |
Correct |
2 ms |
1248 KB |
Output is correct |
52 |
Correct |
2 ms |
1124 KB |
Output is correct |
53 |
Correct |
1 ms |
1128 KB |
Output is correct |
54 |
Correct |
1 ms |
1120 KB |
Output is correct |
55 |
Correct |
1 ms |
1124 KB |
Output is correct |
56 |
Correct |
1 ms |
1128 KB |
Output is correct |
57 |
Correct |
1 ms |
1128 KB |
Output is correct |
58 |
Correct |
1 ms |
1124 KB |
Output is correct |
59 |
Correct |
1 ms |
1124 KB |
Output is correct |
60 |
Correct |
1 ms |
1112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
120 ms |
4440 KB |
Output is correct |
2 |
Correct |
124 ms |
4444 KB |
Output is correct |
3 |
Correct |
121 ms |
4452 KB |
Output is correct |
4 |
Correct |
120 ms |
4456 KB |
Output is correct |
5 |
Correct |
124 ms |
4444 KB |
Output is correct |
6 |
Correct |
120 ms |
4464 KB |
Output is correct |
7 |
Correct |
140 ms |
4460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2648 KB |
Output is correct |
6 |
Correct |
4 ms |
2904 KB |
Output is correct |
7 |
Correct |
19 ms |
3416 KB |
Output is correct |
8 |
Correct |
52 ms |
3932 KB |
Output is correct |
9 |
Correct |
119 ms |
4232 KB |
Output is correct |
10 |
Correct |
43 ms |
3672 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
7 ms |
2908 KB |
Output is correct |
13 |
Correct |
6 ms |
2908 KB |
Output is correct |
14 |
Correct |
7 ms |
2904 KB |
Output is correct |
15 |
Correct |
45 ms |
3676 KB |
Output is correct |
16 |
Correct |
45 ms |
3928 KB |
Output is correct |
17 |
Correct |
44 ms |
3676 KB |
Output is correct |
18 |
Correct |
124 ms |
4456 KB |
Output is correct |
19 |
Correct |
126 ms |
4444 KB |
Output is correct |
20 |
Correct |
118 ms |
4460 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 |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 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 |
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 |
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 |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
0 ms |
604 KB |
Output is correct |
41 |
Correct |
0 ms |
604 KB |
Output is correct |
42 |
Correct |
1 ms |
500 KB |
Output is correct |
43 |
Correct |
0 ms |
604 KB |
Output is correct |
44 |
Correct |
0 ms |
604 KB |
Output is correct |
45 |
Correct |
0 ms |
604 KB |
Output is correct |
46 |
Correct |
0 ms |
604 KB |
Output is correct |
47 |
Correct |
0 ms |
604 KB |
Output is correct |
48 |
Correct |
0 ms |
600 KB |
Output is correct |
49 |
Correct |
0 ms |
604 KB |
Output is correct |
50 |
Correct |
0 ms |
604 KB |
Output is correct |
51 |
Correct |
0 ms |
400 KB |
Output is correct |
52 |
Correct |
0 ms |
604 KB |
Output is correct |
53 |
Correct |
0 ms |
604 KB |
Output is correct |
54 |
Correct |
0 ms |
604 KB |
Output is correct |
55 |
Correct |
0 ms |
604 KB |
Output is correct |
56 |
Correct |
0 ms |
604 KB |
Output is correct |
57 |
Correct |
0 ms |
604 KB |
Output is correct |
58 |
Correct |
0 ms |
604 KB |
Output is correct |
59 |
Correct |
0 ms |
604 KB |
Output is correct |
60 |
Correct |
0 ms |
604 KB |
Output is correct |
61 |
Correct |
1 ms |
860 KB |
Output is correct |
62 |
Correct |
1 ms |
860 KB |
Output is correct |
63 |
Correct |
0 ms |
980 KB |
Output is correct |
64 |
Correct |
0 ms |
976 KB |
Output is correct |
65 |
Correct |
1 ms |
860 KB |
Output is correct |
66 |
Correct |
1 ms |
860 KB |
Output is correct |
67 |
Correct |
1 ms |
1116 KB |
Output is correct |
68 |
Correct |
1 ms |
1116 KB |
Output is correct |
69 |
Correct |
2 ms |
1120 KB |
Output is correct |
70 |
Correct |
1 ms |
1124 KB |
Output is correct |
71 |
Correct |
2 ms |
1248 KB |
Output is correct |
72 |
Correct |
2 ms |
1124 KB |
Output is correct |
73 |
Correct |
1 ms |
1128 KB |
Output is correct |
74 |
Correct |
1 ms |
1120 KB |
Output is correct |
75 |
Correct |
1 ms |
1124 KB |
Output is correct |
76 |
Correct |
1 ms |
1128 KB |
Output is correct |
77 |
Correct |
1 ms |
1128 KB |
Output is correct |
78 |
Correct |
1 ms |
1124 KB |
Output is correct |
79 |
Correct |
1 ms |
1124 KB |
Output is correct |
80 |
Correct |
1 ms |
1112 KB |
Output is correct |
81 |
Correct |
120 ms |
4440 KB |
Output is correct |
82 |
Correct |
124 ms |
4444 KB |
Output is correct |
83 |
Correct |
121 ms |
4452 KB |
Output is correct |
84 |
Correct |
120 ms |
4456 KB |
Output is correct |
85 |
Correct |
124 ms |
4444 KB |
Output is correct |
86 |
Correct |
120 ms |
4464 KB |
Output is correct |
87 |
Correct |
140 ms |
4460 KB |
Output is correct |
88 |
Correct |
4 ms |
2648 KB |
Output is correct |
89 |
Correct |
4 ms |
2652 KB |
Output is correct |
90 |
Correct |
5 ms |
2908 KB |
Output is correct |
91 |
Correct |
6 ms |
2908 KB |
Output is correct |
92 |
Correct |
19 ms |
3420 KB |
Output is correct |
93 |
Correct |
21 ms |
3488 KB |
Output is correct |
94 |
Correct |
54 ms |
3932 KB |
Output is correct |
95 |
Correct |
54 ms |
3932 KB |
Output is correct |
96 |
Correct |
90 ms |
4188 KB |
Output is correct |
97 |
Correct |
110 ms |
4184 KB |
Output is correct |
98 |
Correct |
44 ms |
3672 KB |
Output is correct |
99 |
Correct |
44 ms |
3676 KB |
Output is correct |
100 |
Correct |
44 ms |
3860 KB |
Output is correct |
101 |
Correct |
45 ms |
3860 KB |
Output is correct |
102 |
Correct |
44 ms |
3672 KB |
Output is correct |
103 |
Correct |
47 ms |
3676 KB |
Output is correct |
104 |
Correct |
46 ms |
3792 KB |
Output is correct |
105 |
Correct |
44 ms |
3864 KB |
Output is correct |