#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<double, double> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 2e5 + 5;
const double INF = 1e18;
//enumerate number of b from 0 ... k - 1
//it is optimal to get collaboraters first then give speeches to k - #b people
//for a set of collaboraters, it is optimal to sort them by increasing bs
double dp[505][505];
int main(void){
fastio;
int n, k;
cin>>n>>k;
vector<pll> a(n);
for(int i = 0; i < n; i++){
cin>>a[i].f>>a[i].s;
if(a[i].s == -1) a[i].s = INF;
}
sort(a.begin(), a.end(), [&](pll a, pll b){ return a.s < b.s || (a.s == b.s && a.f < b.f);});
auto f = [&](int goal) -> double {
double best = INF;
for(int i = 0; i <= n; i++) for(int j = 0; j <= goal; j++) dp[i][j] = INF;
dp[0][0] = 0;
for(int i = 0; i < n; i++){
for(int j = 0; j < goal; j++){
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i].f / (goal + 1));
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + a[i].s / (j + 1));
}
}
for(int i = 0; i <= n; i++){
//choose k - i elements for second set
vector<double> cand;
for(int j = i; j < n; j++) cand.pb(a[j].f);
sort(cand.begin(), cand.end());
double cur = dp[i][goal];
for(int j = 0; j < k - i; j++) cur += cand[j] / (goal + 1);
best = min(best, cur);
}
return best;
};
int l = 0, r = k;
while(r - l >= 3){
int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3;
double c1 = f(m1), c2 = f(m2);
if(c1 > c2) l = m1;
else r = m2;
}
double best = INF;
for(int i = l; i <= r; i++) best = min(best, f(i));
cout<<fixed<<setprecision(5)<<best<<"\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
35 ms |
2440 KB |
Output is correct |
6 |
Correct |
39 ms |
2396 KB |
Output is correct |
7 |
Correct |
46 ms |
2396 KB |
Output is correct |
8 |
Correct |
51 ms |
2392 KB |
Output is correct |
9 |
Correct |
55 ms |
2392 KB |
Output is correct |
10 |
Correct |
40 ms |
2428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
35 ms |
2440 KB |
Output is correct |
6 |
Correct |
39 ms |
2396 KB |
Output is correct |
7 |
Correct |
46 ms |
2396 KB |
Output is correct |
8 |
Correct |
51 ms |
2392 KB |
Output is correct |
9 |
Correct |
55 ms |
2392 KB |
Output is correct |
10 |
Correct |
40 ms |
2428 KB |
Output is correct |
11 |
Correct |
0 ms |
512 KB |
Output is correct |
12 |
Correct |
50 ms |
2396 KB |
Output is correct |
13 |
Correct |
77 ms |
2392 KB |
Output is correct |
14 |
Correct |
62 ms |
2396 KB |
Output is correct |
15 |
Correct |
69 ms |
2392 KB |
Output is correct |
16 |
Correct |
102 ms |
2444 KB |
Output is correct |
17 |
Correct |
85 ms |
2396 KB |
Output is correct |
18 |
Correct |
85 ms |
2396 KB |
Output is correct |
19 |
Correct |
111 ms |
2428 KB |
Output is correct |
20 |
Correct |
82 ms |
2640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 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 |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 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 |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 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 |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
3 ms |
604 KB |
Output is correct |
42 |
Correct |
3 ms |
604 KB |
Output is correct |
43 |
Correct |
3 ms |
604 KB |
Output is correct |
44 |
Correct |
3 ms |
604 KB |
Output is correct |
45 |
Correct |
4 ms |
604 KB |
Output is correct |
46 |
Correct |
4 ms |
604 KB |
Output is correct |
47 |
Correct |
4 ms |
860 KB |
Output is correct |
48 |
Correct |
4 ms |
604 KB |
Output is correct |
49 |
Correct |
4 ms |
860 KB |
Output is correct |
50 |
Correct |
4 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
860 KB |
Output is correct |
52 |
Correct |
4 ms |
860 KB |
Output is correct |
53 |
Correct |
4 ms |
864 KB |
Output is correct |
54 |
Correct |
4 ms |
860 KB |
Output is correct |
55 |
Correct |
4 ms |
864 KB |
Output is correct |
56 |
Correct |
3 ms |
604 KB |
Output is correct |
57 |
Correct |
4 ms |
604 KB |
Output is correct |
58 |
Correct |
3 ms |
604 KB |
Output is correct |
59 |
Correct |
3 ms |
860 KB |
Output is correct |
60 |
Correct |
3 ms |
860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
176 ms |
2396 KB |
Output is correct |
2 |
Correct |
181 ms |
2436 KB |
Output is correct |
3 |
Correct |
183 ms |
2392 KB |
Output is correct |
4 |
Correct |
188 ms |
2392 KB |
Output is correct |
5 |
Correct |
192 ms |
2396 KB |
Output is correct |
6 |
Correct |
179 ms |
2392 KB |
Output is correct |
7 |
Correct |
153 ms |
2436 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
35 ms |
2440 KB |
Output is correct |
6 |
Correct |
39 ms |
2396 KB |
Output is correct |
7 |
Correct |
46 ms |
2396 KB |
Output is correct |
8 |
Correct |
51 ms |
2392 KB |
Output is correct |
9 |
Correct |
55 ms |
2392 KB |
Output is correct |
10 |
Correct |
40 ms |
2428 KB |
Output is correct |
11 |
Correct |
0 ms |
512 KB |
Output is correct |
12 |
Correct |
50 ms |
2396 KB |
Output is correct |
13 |
Correct |
77 ms |
2392 KB |
Output is correct |
14 |
Correct |
62 ms |
2396 KB |
Output is correct |
15 |
Correct |
69 ms |
2392 KB |
Output is correct |
16 |
Correct |
102 ms |
2444 KB |
Output is correct |
17 |
Correct |
85 ms |
2396 KB |
Output is correct |
18 |
Correct |
85 ms |
2396 KB |
Output is correct |
19 |
Correct |
111 ms |
2428 KB |
Output is correct |
20 |
Correct |
82 ms |
2640 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 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 |
0 ms |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
1 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
344 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
3 ms |
604 KB |
Output is correct |
62 |
Correct |
3 ms |
604 KB |
Output is correct |
63 |
Correct |
3 ms |
604 KB |
Output is correct |
64 |
Correct |
3 ms |
604 KB |
Output is correct |
65 |
Correct |
4 ms |
604 KB |
Output is correct |
66 |
Correct |
4 ms |
604 KB |
Output is correct |
67 |
Correct |
4 ms |
860 KB |
Output is correct |
68 |
Correct |
4 ms |
604 KB |
Output is correct |
69 |
Correct |
4 ms |
860 KB |
Output is correct |
70 |
Correct |
4 ms |
604 KB |
Output is correct |
71 |
Correct |
5 ms |
860 KB |
Output is correct |
72 |
Correct |
4 ms |
860 KB |
Output is correct |
73 |
Correct |
4 ms |
864 KB |
Output is correct |
74 |
Correct |
4 ms |
860 KB |
Output is correct |
75 |
Correct |
4 ms |
864 KB |
Output is correct |
76 |
Correct |
3 ms |
604 KB |
Output is correct |
77 |
Correct |
4 ms |
604 KB |
Output is correct |
78 |
Correct |
3 ms |
604 KB |
Output is correct |
79 |
Correct |
3 ms |
860 KB |
Output is correct |
80 |
Correct |
3 ms |
860 KB |
Output is correct |
81 |
Correct |
176 ms |
2396 KB |
Output is correct |
82 |
Correct |
181 ms |
2436 KB |
Output is correct |
83 |
Correct |
183 ms |
2392 KB |
Output is correct |
84 |
Correct |
188 ms |
2392 KB |
Output is correct |
85 |
Correct |
192 ms |
2396 KB |
Output is correct |
86 |
Correct |
179 ms |
2392 KB |
Output is correct |
87 |
Correct |
153 ms |
2436 KB |
Output is correct |
88 |
Correct |
104 ms |
2644 KB |
Output is correct |
89 |
Correct |
104 ms |
2428 KB |
Output is correct |
90 |
Correct |
127 ms |
2396 KB |
Output is correct |
91 |
Correct |
127 ms |
2392 KB |
Output is correct |
92 |
Correct |
149 ms |
2436 KB |
Output is correct |
93 |
Correct |
155 ms |
2396 KB |
Output is correct |
94 |
Correct |
162 ms |
2396 KB |
Output is correct |
95 |
Correct |
170 ms |
2392 KB |
Output is correct |
96 |
Correct |
165 ms |
2432 KB |
Output is correct |
97 |
Correct |
176 ms |
2396 KB |
Output is correct |
98 |
Correct |
138 ms |
2392 KB |
Output is correct |
99 |
Correct |
146 ms |
2392 KB |
Output is correct |
100 |
Correct |
160 ms |
2640 KB |
Output is correct |
101 |
Correct |
152 ms |
2396 KB |
Output is correct |
102 |
Correct |
148 ms |
2396 KB |
Output is correct |
103 |
Correct |
136 ms |
2392 KB |
Output is correct |
104 |
Correct |
127 ms |
2392 KB |
Output is correct |
105 |
Correct |
39 ms |
2396 KB |
Output is correct |