#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
void Solve()
{
int n, k; cin >> n >> k;
vector <pair<int, int>> a(n);
for (auto &x : a) {
cin >> x.s >> x.f;
if (x.f == -1) x.f = INF;
}
sort(a.begin(), a.end());
double ans = INF;
for (int i = 0; i <= k; i++){
vector <double> dp(k + 1, INF); //how many A's taken
dp[0] = 0;
// cout << "OKING " << i << "\n\n";
for (int j = 0; j < n; j++){
vector <double> ndp(k + 1, INF);
for (int j1 = 0; j1 <= k; j1++){
if (j1 != k)
ndp[j1 + 1] = min(ndp[j1 + 1], dp[j1] + (double)a[j].s / (i + 1));
int pos = j + 1 - j1;
if (pos < 1) continue;
if (pos <= i) ndp[j1] = min(ndp[j1], dp[j1] + (double)a[j].f / pos);
else ndp[j1] = min(ndp[j1], dp[j1]);
}
// cout << "LOL " << j << "\n";
// for (auto &x : ndp) cout << x << " ";
// cout << "\n";
dp = ndp;
}
// cout << "\n";
ans = min(ans, dp[k - i]);
}
cout << fixed << setprecision(10) << ans << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
# |
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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
364 KB |
Output is correct |
6 |
Correct |
20 ms |
340 KB |
Output is correct |
7 |
Correct |
79 ms |
212 KB |
Output is correct |
8 |
Correct |
182 ms |
316 KB |
Output is correct |
9 |
Correct |
317 ms |
320 KB |
Output is correct |
10 |
Correct |
158 ms |
212 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
364 KB |
Output is correct |
6 |
Correct |
20 ms |
340 KB |
Output is correct |
7 |
Correct |
79 ms |
212 KB |
Output is correct |
8 |
Correct |
182 ms |
316 KB |
Output is correct |
9 |
Correct |
317 ms |
320 KB |
Output is correct |
10 |
Correct |
158 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
29 ms |
212 KB |
Output is correct |
13 |
Correct |
29 ms |
324 KB |
Output is correct |
14 |
Correct |
30 ms |
340 KB |
Output is correct |
15 |
Correct |
158 ms |
320 KB |
Output is correct |
16 |
Correct |
160 ms |
320 KB |
Output is correct |
17 |
Correct |
165 ms |
212 KB |
Output is correct |
18 |
Correct |
317 ms |
340 KB |
Output is correct |
19 |
Correct |
319 ms |
340 KB |
Output is correct |
20 |
Correct |
319 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
324 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 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 |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
328 KB |
Output is correct |
11 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
324 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 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 |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
328 KB |
Output is correct |
11 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
324 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
316 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 |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
336 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
320 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 |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
324 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 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 |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
328 KB |
Output is correct |
11 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
324 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
316 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 |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
336 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
320 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 |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
320 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
320 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
324 KB |
Output is correct |
46 |
Correct |
2 ms |
212 KB |
Output is correct |
47 |
Correct |
2 ms |
328 KB |
Output is correct |
48 |
Correct |
2 ms |
324 KB |
Output is correct |
49 |
Correct |
2 ms |
212 KB |
Output is correct |
50 |
Correct |
2 ms |
324 KB |
Output is correct |
51 |
Correct |
3 ms |
212 KB |
Output is correct |
52 |
Correct |
3 ms |
328 KB |
Output is correct |
53 |
Correct |
2 ms |
212 KB |
Output is correct |
54 |
Correct |
2 ms |
212 KB |
Output is correct |
55 |
Correct |
2 ms |
212 KB |
Output is correct |
56 |
Correct |
2 ms |
212 KB |
Output is correct |
57 |
Correct |
2 ms |
212 KB |
Output is correct |
58 |
Correct |
2 ms |
212 KB |
Output is correct |
59 |
Correct |
2 ms |
212 KB |
Output is correct |
60 |
Correct |
2 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
322 ms |
340 KB |
Output is correct |
2 |
Correct |
317 ms |
340 KB |
Output is correct |
3 |
Correct |
321 ms |
332 KB |
Output is correct |
4 |
Correct |
318 ms |
328 KB |
Output is correct |
5 |
Correct |
319 ms |
340 KB |
Output is correct |
6 |
Correct |
317 ms |
320 KB |
Output is correct |
7 |
Correct |
317 ms |
320 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
364 KB |
Output is correct |
6 |
Correct |
20 ms |
340 KB |
Output is correct |
7 |
Correct |
79 ms |
212 KB |
Output is correct |
8 |
Correct |
182 ms |
316 KB |
Output is correct |
9 |
Correct |
317 ms |
320 KB |
Output is correct |
10 |
Correct |
158 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
29 ms |
212 KB |
Output is correct |
13 |
Correct |
29 ms |
324 KB |
Output is correct |
14 |
Correct |
30 ms |
340 KB |
Output is correct |
15 |
Correct |
158 ms |
320 KB |
Output is correct |
16 |
Correct |
160 ms |
320 KB |
Output is correct |
17 |
Correct |
165 ms |
212 KB |
Output is correct |
18 |
Correct |
317 ms |
340 KB |
Output is correct |
19 |
Correct |
319 ms |
340 KB |
Output is correct |
20 |
Correct |
319 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
324 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
324 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 |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
328 KB |
Output is correct |
31 |
Correct |
1 ms |
212 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 |
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 |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
324 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
328 KB |
Output is correct |
49 |
Correct |
1 ms |
316 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 |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
336 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
1 ms |
320 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 |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
1 ms |
320 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
320 KB |
Output is correct |
64 |
Correct |
1 ms |
212 KB |
Output is correct |
65 |
Correct |
1 ms |
324 KB |
Output is correct |
66 |
Correct |
2 ms |
212 KB |
Output is correct |
67 |
Correct |
2 ms |
328 KB |
Output is correct |
68 |
Correct |
2 ms |
324 KB |
Output is correct |
69 |
Correct |
2 ms |
212 KB |
Output is correct |
70 |
Correct |
2 ms |
324 KB |
Output is correct |
71 |
Correct |
3 ms |
212 KB |
Output is correct |
72 |
Correct |
3 ms |
328 KB |
Output is correct |
73 |
Correct |
2 ms |
212 KB |
Output is correct |
74 |
Correct |
2 ms |
212 KB |
Output is correct |
75 |
Correct |
2 ms |
212 KB |
Output is correct |
76 |
Correct |
2 ms |
212 KB |
Output is correct |
77 |
Correct |
2 ms |
212 KB |
Output is correct |
78 |
Correct |
2 ms |
212 KB |
Output is correct |
79 |
Correct |
2 ms |
212 KB |
Output is correct |
80 |
Correct |
2 ms |
212 KB |
Output is correct |
81 |
Correct |
322 ms |
340 KB |
Output is correct |
82 |
Correct |
317 ms |
340 KB |
Output is correct |
83 |
Correct |
321 ms |
332 KB |
Output is correct |
84 |
Correct |
318 ms |
328 KB |
Output is correct |
85 |
Correct |
319 ms |
340 KB |
Output is correct |
86 |
Correct |
317 ms |
320 KB |
Output is correct |
87 |
Correct |
317 ms |
320 KB |
Output is correct |
88 |
Correct |
4 ms |
212 KB |
Output is correct |
89 |
Correct |
4 ms |
212 KB |
Output is correct |
90 |
Correct |
20 ms |
212 KB |
Output is correct |
91 |
Correct |
19 ms |
212 KB |
Output is correct |
92 |
Correct |
79 ms |
340 KB |
Output is correct |
93 |
Correct |
79 ms |
324 KB |
Output is correct |
94 |
Correct |
182 ms |
212 KB |
Output is correct |
95 |
Correct |
193 ms |
320 KB |
Output is correct |
96 |
Correct |
261 ms |
340 KB |
Output is correct |
97 |
Correct |
261 ms |
340 KB |
Output is correct |
98 |
Correct |
160 ms |
332 KB |
Output is correct |
99 |
Correct |
158 ms |
320 KB |
Output is correct |
100 |
Correct |
159 ms |
212 KB |
Output is correct |
101 |
Correct |
158 ms |
212 KB |
Output is correct |
102 |
Correct |
163 ms |
320 KB |
Output is correct |
103 |
Correct |
158 ms |
320 KB |
Output is correct |
104 |
Correct |
161 ms |
340 KB |
Output is correct |
105 |
Correct |
158 ms |
320 KB |
Output is correct |