#include <iostream>
#include <algorithm>
#include <iomanip>
#include <queue>
using namespace std;
const double INF = 1e9;
int main(){
cin.tie(0)->sync_with_stdio(0);
int n, K; cin >> n >> K;
pair<double, double> a[n + 1]{};
for (int i = 1; i <= n; i++){
cin >> a[i].first >> a[i].second;
if (a[i].second == -1){
a[i].second = INF;
}
}
sort(a + 1, a + n + 1, [&](pair<double, double> x, pair<double, double> y){
return x.second < y.second;
});
double ans = INF;
for (int t = 0; t < K; t++){
double dp[n + 1][t + 1]{};
for (int i = 0; i <= n; i++){
fill(dp[i], dp[i] + t + 1, INF);
}
dp[0][0] = 0;
for (int i = 1; i <= n; i++){
for (int j = 1; j <= t; j++){
dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + a[i].second / j);
}
for (int j = 0; j <= t; j++){
dp[i][j] = min(dp[i][j], dp[i - 1][j] + a[i].first / (t + 1));
}
}
double cur = 0;
priority_queue<double, vector<double>, greater<double>> pq;
for (int i = n; i > K; i--){
pq.push(a[i].first);
}
double res = INF;
for (int i = K; i >= t; i--){
res = min(res, dp[i][t] + cur);
pq.push(a[i].first);
while (pq.size() > n - K){
cur += pq.top() / (t + 1);
pq.pop();
}
}
ans = min(ans, res);
}
cout << fixed << setprecision(15) << ans;
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:45:30: warning: comparison of integer expressions of different signedness: 'std::priority_queue<double, std::vector<double>, std::greater<double> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
45 | while (pq.size() > n - K){
| ~~~~~~~~~~^~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
468 KB |
Output is correct |
6 |
Correct |
13 ms |
792 KB |
Output is correct |
7 |
Correct |
52 ms |
1228 KB |
Output is correct |
8 |
Correct |
100 ms |
1740 KB |
Output is correct |
9 |
Correct |
173 ms |
2248 KB |
Output is correct |
10 |
Correct |
92 ms |
1596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
468 KB |
Output is correct |
6 |
Correct |
13 ms |
792 KB |
Output is correct |
7 |
Correct |
52 ms |
1228 KB |
Output is correct |
8 |
Correct |
100 ms |
1740 KB |
Output is correct |
9 |
Correct |
173 ms |
2248 KB |
Output is correct |
10 |
Correct |
92 ms |
1596 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
23 ms |
780 KB |
Output is correct |
13 |
Correct |
18 ms |
908 KB |
Output is correct |
14 |
Correct |
18 ms |
904 KB |
Output is correct |
15 |
Correct |
92 ms |
1768 KB |
Output is correct |
16 |
Correct |
91 ms |
1612 KB |
Output is correct |
17 |
Correct |
90 ms |
1688 KB |
Output is correct |
18 |
Correct |
169 ms |
2212 KB |
Output is correct |
19 |
Correct |
183 ms |
2148 KB |
Output is correct |
20 |
Correct |
182 ms |
2248 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 KB |
Output is correct |
28 |
Correct |
1 ms |
320 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 KB |
Output is correct |
28 |
Correct |
1 ms |
320 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
324 KB |
Output is correct |
41 |
Correct |
1 ms |
316 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
312 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
1 ms |
320 KB |
Output is correct |
49 |
Correct |
2 ms |
340 KB |
Output is correct |
50 |
Correct |
2 ms |
324 KB |
Output is correct |
51 |
Correct |
2 ms |
340 KB |
Output is correct |
52 |
Correct |
2 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
2 ms |
316 KB |
Output is correct |
55 |
Correct |
2 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
176 ms |
2268 KB |
Output is correct |
2 |
Correct |
179 ms |
2144 KB |
Output is correct |
3 |
Correct |
176 ms |
2144 KB |
Output is correct |
4 |
Correct |
169 ms |
2220 KB |
Output is correct |
5 |
Correct |
198 ms |
2212 KB |
Output is correct |
6 |
Correct |
173 ms |
2184 KB |
Output is correct |
7 |
Correct |
167 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
468 KB |
Output is correct |
6 |
Correct |
13 ms |
792 KB |
Output is correct |
7 |
Correct |
52 ms |
1228 KB |
Output is correct |
8 |
Correct |
100 ms |
1740 KB |
Output is correct |
9 |
Correct |
173 ms |
2248 KB |
Output is correct |
10 |
Correct |
92 ms |
1596 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
23 ms |
780 KB |
Output is correct |
13 |
Correct |
18 ms |
908 KB |
Output is correct |
14 |
Correct |
18 ms |
904 KB |
Output is correct |
15 |
Correct |
92 ms |
1768 KB |
Output is correct |
16 |
Correct |
91 ms |
1612 KB |
Output is correct |
17 |
Correct |
90 ms |
1688 KB |
Output is correct |
18 |
Correct |
169 ms |
2212 KB |
Output is correct |
19 |
Correct |
183 ms |
2148 KB |
Output is correct |
20 |
Correct |
182 ms |
2248 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
316 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
316 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
316 KB |
Output is correct |
35 |
Correct |
1 ms |
316 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
320 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
320 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
320 KB |
Output is correct |
48 |
Correct |
1 ms |
320 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
324 KB |
Output is correct |
61 |
Correct |
1 ms |
316 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
312 KB |
Output is correct |
65 |
Correct |
1 ms |
340 KB |
Output is correct |
66 |
Correct |
1 ms |
340 KB |
Output is correct |
67 |
Correct |
1 ms |
340 KB |
Output is correct |
68 |
Correct |
1 ms |
320 KB |
Output is correct |
69 |
Correct |
2 ms |
340 KB |
Output is correct |
70 |
Correct |
2 ms |
324 KB |
Output is correct |
71 |
Correct |
2 ms |
340 KB |
Output is correct |
72 |
Correct |
2 ms |
340 KB |
Output is correct |
73 |
Correct |
1 ms |
340 KB |
Output is correct |
74 |
Correct |
2 ms |
316 KB |
Output is correct |
75 |
Correct |
2 ms |
340 KB |
Output is correct |
76 |
Correct |
1 ms |
340 KB |
Output is correct |
77 |
Correct |
1 ms |
340 KB |
Output is correct |
78 |
Correct |
1 ms |
340 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
340 KB |
Output is correct |
81 |
Correct |
176 ms |
2268 KB |
Output is correct |
82 |
Correct |
179 ms |
2144 KB |
Output is correct |
83 |
Correct |
176 ms |
2144 KB |
Output is correct |
84 |
Correct |
169 ms |
2220 KB |
Output is correct |
85 |
Correct |
198 ms |
2212 KB |
Output is correct |
86 |
Correct |
173 ms |
2184 KB |
Output is correct |
87 |
Correct |
167 ms |
2396 KB |
Output is correct |
88 |
Correct |
3 ms |
468 KB |
Output is correct |
89 |
Correct |
3 ms |
468 KB |
Output is correct |
90 |
Correct |
13 ms |
724 KB |
Output is correct |
91 |
Correct |
14 ms |
712 KB |
Output is correct |
92 |
Correct |
51 ms |
1212 KB |
Output is correct |
93 |
Correct |
48 ms |
1176 KB |
Output is correct |
94 |
Correct |
100 ms |
1756 KB |
Output is correct |
95 |
Correct |
102 ms |
1764 KB |
Output is correct |
96 |
Correct |
143 ms |
2068 KB |
Output is correct |
97 |
Correct |
138 ms |
2068 KB |
Output is correct |
98 |
Correct |
93 ms |
1624 KB |
Output is correct |
99 |
Correct |
109 ms |
1640 KB |
Output is correct |
100 |
Correct |
87 ms |
1612 KB |
Output is correct |
101 |
Correct |
93 ms |
1780 KB |
Output is correct |
102 |
Correct |
86 ms |
1676 KB |
Output is correct |
103 |
Correct |
93 ms |
1672 KB |
Output is correct |
104 |
Correct |
85 ms |
1640 KB |
Output is correct |
105 |
Correct |
86 ms |
1760 KB |
Output is correct |