#include "bits/stdc++.h"
using namespace std;
//#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 998244353;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
bool cmp(pair<int, int> x, pair<int, int> y) {
return x.second < y.second;
}
int n, k, a[MAXN], b[MAXN];
double fun(int bcnt) {
double dp[k - bcnt + 1][bcnt + 1][n + 1]; // type A, type B, prefix
for(int i=0; i<=k-bcnt; i++) {
for(int j=0; j<=bcnt; j++) {
for(int l=0; l<=n; l++) {
dp[i][j][l] = 1e9;
}
}
}
for(int i=0; i<=n; i++) dp[0][0][i] = 0;
for(int i=0; i<=k-bcnt; i++) {
for(int j=0; j<=bcnt; j++) {
if(i == 0 && j == 0) continue;
for(int l=i+j; l<=n; l++) {
// register as type A
if(i > 0) dp[i][j][l] = dp[i-1][j][l-1] + a[l] * 1.0 / (bcnt + 1);
// register as type B
if(j > 0 && b[l] != 1226) dp[i][j][l] = min(dp[i][j][l], dp[i][j-1][l-1] + b[l] * 1.0 / j);
// register as neither
dp[i][j][l] = min(dp[i][j][l], dp[i][j][l-1]);
}
}
}
return dp[k-bcnt][bcnt][n];
}
void solve(int tc) {
cin >> n >> k;
pair<int, int> p[n+1];
for(int i=1; i<=n; i++) {
cin >> p[i].first >> p[i].second;
if(p[i].second == -1) p[i].second = 1226;
}
sort(p+1, p+n+1, cmp);
for(int i=1; i<=n; i++) {
a[i] = p[i].first, b[i] = p[i].second;
}
int lb = 0, rb = k;
double res[k+1];
for(int i=0; i<=k; i++) res[i] = -1;
while(lb < rb) {
int mid = (lb + rb) >> 1;
double f0 = (res[mid] < 0 ? fun(mid) : res[mid]);
double f1 = (res[mid+1] < 0 ? fun(mid+1) : res[mid+1]);
if(f0 > f1) lb = mid+1;
else rb = mid;
}
cout << fixed << setprecision(10) << (res[lb] < 0 ? fun(lb) : res[lb]) << "\n";
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
// I don't know geometry.
// Teaming is unfair.
/*
8
7
3 15
19 40
11 62
7 72
16 27
33 53
14 50
17 24
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
9 ms |
2992 KB |
Output is correct |
6 |
Correct |
45 ms |
16132 KB |
Output is correct |
7 |
Correct |
165 ms |
62460 KB |
Output is correct |
8 |
Correct |
351 ms |
139704 KB |
Output is correct |
9 |
Correct |
540 ms |
247392 KB |
Output is correct |
10 |
Correct |
300 ms |
121924 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
9 ms |
2992 KB |
Output is correct |
6 |
Correct |
45 ms |
16132 KB |
Output is correct |
7 |
Correct |
165 ms |
62460 KB |
Output is correct |
8 |
Correct |
351 ms |
139704 KB |
Output is correct |
9 |
Correct |
540 ms |
247392 KB |
Output is correct |
10 |
Correct |
300 ms |
121924 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
84 ms |
22972 KB |
Output is correct |
13 |
Correct |
180 ms |
22868 KB |
Output is correct |
14 |
Correct |
172 ms |
22972 KB |
Output is correct |
15 |
Correct |
340 ms |
121756 KB |
Output is correct |
16 |
Correct |
926 ms |
121804 KB |
Output is correct |
17 |
Correct |
728 ms |
121796 KB |
Output is correct |
18 |
Correct |
603 ms |
247392 KB |
Output is correct |
19 |
Correct |
1651 ms |
247388 KB |
Output is correct |
20 |
Correct |
1111 ms |
247392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
464 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 |
264 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
464 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 |
264 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
2 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
2 ms |
852 KB |
Output is correct |
46 |
Correct |
3 ms |
852 KB |
Output is correct |
47 |
Correct |
5 ms |
1108 KB |
Output is correct |
48 |
Correct |
5 ms |
1108 KB |
Output is correct |
49 |
Correct |
6 ms |
1620 KB |
Output is correct |
50 |
Correct |
7 ms |
1620 KB |
Output is correct |
51 |
Correct |
10 ms |
2388 KB |
Output is correct |
52 |
Correct |
7 ms |
2388 KB |
Output is correct |
53 |
Correct |
3 ms |
1108 KB |
Output is correct |
54 |
Correct |
6 ms |
1108 KB |
Output is correct |
55 |
Correct |
5 ms |
1108 KB |
Output is correct |
56 |
Correct |
4 ms |
1108 KB |
Output is correct |
57 |
Correct |
5 ms |
1108 KB |
Output is correct |
58 |
Correct |
4 ms |
1108 KB |
Output is correct |
59 |
Correct |
6 ms |
1220 KB |
Output is correct |
60 |
Correct |
6 ms |
1112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1952 ms |
247372 KB |
Output is correct |
2 |
Correct |
1782 ms |
247500 KB |
Output is correct |
3 |
Correct |
1704 ms |
247400 KB |
Output is correct |
4 |
Correct |
1334 ms |
247400 KB |
Output is correct |
5 |
Correct |
1164 ms |
247308 KB |
Output is correct |
6 |
Correct |
1885 ms |
247404 KB |
Output is correct |
7 |
Correct |
938 ms |
247400 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
9 ms |
2992 KB |
Output is correct |
6 |
Correct |
45 ms |
16132 KB |
Output is correct |
7 |
Correct |
165 ms |
62460 KB |
Output is correct |
8 |
Correct |
351 ms |
139704 KB |
Output is correct |
9 |
Correct |
540 ms |
247392 KB |
Output is correct |
10 |
Correct |
300 ms |
121924 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
84 ms |
22972 KB |
Output is correct |
13 |
Correct |
180 ms |
22868 KB |
Output is correct |
14 |
Correct |
172 ms |
22972 KB |
Output is correct |
15 |
Correct |
340 ms |
121756 KB |
Output is correct |
16 |
Correct |
926 ms |
121804 KB |
Output is correct |
17 |
Correct |
728 ms |
121796 KB |
Output is correct |
18 |
Correct |
603 ms |
247392 KB |
Output is correct |
19 |
Correct |
1651 ms |
247388 KB |
Output is correct |
20 |
Correct |
1111 ms |
247392 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
0 ms |
340 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
0 ms |
340 KB |
Output is correct |
45 |
Correct |
0 ms |
340 KB |
Output is correct |
46 |
Correct |
0 ms |
340 KB |
Output is correct |
47 |
Correct |
0 ms |
340 KB |
Output is correct |
48 |
Correct |
0 ms |
340 KB |
Output is correct |
49 |
Correct |
0 ms |
340 KB |
Output is correct |
50 |
Correct |
0 ms |
340 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
464 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 |
264 KB |
Output is correct |
57 |
Correct |
0 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
340 KB |
Output is correct |
60 |
Correct |
0 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
2 ms |
468 KB |
Output is correct |
64 |
Correct |
1 ms |
468 KB |
Output is correct |
65 |
Correct |
2 ms |
852 KB |
Output is correct |
66 |
Correct |
3 ms |
852 KB |
Output is correct |
67 |
Correct |
5 ms |
1108 KB |
Output is correct |
68 |
Correct |
5 ms |
1108 KB |
Output is correct |
69 |
Correct |
6 ms |
1620 KB |
Output is correct |
70 |
Correct |
7 ms |
1620 KB |
Output is correct |
71 |
Correct |
10 ms |
2388 KB |
Output is correct |
72 |
Correct |
7 ms |
2388 KB |
Output is correct |
73 |
Correct |
3 ms |
1108 KB |
Output is correct |
74 |
Correct |
6 ms |
1108 KB |
Output is correct |
75 |
Correct |
5 ms |
1108 KB |
Output is correct |
76 |
Correct |
4 ms |
1108 KB |
Output is correct |
77 |
Correct |
5 ms |
1108 KB |
Output is correct |
78 |
Correct |
4 ms |
1108 KB |
Output is correct |
79 |
Correct |
6 ms |
1220 KB |
Output is correct |
80 |
Correct |
6 ms |
1112 KB |
Output is correct |
81 |
Correct |
1952 ms |
247372 KB |
Output is correct |
82 |
Correct |
1782 ms |
247500 KB |
Output is correct |
83 |
Correct |
1704 ms |
247400 KB |
Output is correct |
84 |
Correct |
1334 ms |
247400 KB |
Output is correct |
85 |
Correct |
1164 ms |
247308 KB |
Output is correct |
86 |
Correct |
1885 ms |
247404 KB |
Output is correct |
87 |
Correct |
938 ms |
247400 KB |
Output is correct |
88 |
Correct |
12 ms |
2900 KB |
Output is correct |
89 |
Correct |
14 ms |
2900 KB |
Output is correct |
90 |
Correct |
115 ms |
16084 KB |
Output is correct |
91 |
Correct |
91 ms |
16152 KB |
Output is correct |
92 |
Correct |
487 ms |
62584 KB |
Output is correct |
93 |
Correct |
386 ms |
62712 KB |
Output is correct |
94 |
Correct |
1157 ms |
139672 KB |
Output is correct |
95 |
Correct |
872 ms |
139668 KB |
Output is correct |
96 |
Correct |
1557 ms |
200584 KB |
Output is correct |
97 |
Correct |
1221 ms |
200636 KB |
Output is correct |
98 |
Correct |
812 ms |
121804 KB |
Output is correct |
99 |
Correct |
490 ms |
121904 KB |
Output is correct |
100 |
Correct |
937 ms |
121812 KB |
Output is correct |
101 |
Correct |
912 ms |
121812 KB |
Output is correct |
102 |
Correct |
799 ms |
121808 KB |
Output is correct |
103 |
Correct |
703 ms |
121804 KB |
Output is correct |
104 |
Correct |
1041 ms |
121804 KB |
Output is correct |
105 |
Correct |
334 ms |
121800 KB |
Output is correct |