#include <bits/stdc++.h>
using namespace std;
#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 505;
int n, k;
double dp[N][N];
pair<int, int> a[N];
double get(int mid) {
for (int i = 0; i <= n; ++i) {
for (int j = 0; j <= k - mid; ++j) {
dp[i][j] = 1e9;
}
}
dp[0][0] = 0;
for (int i = 1; i <= n; ++i) {
for (int j = 0; j <= min(i, k - mid); ++j) {
int x = i - j - 1;
if (j > 0) {
dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + 1.0 * a[i].first / (mid + 1));
}
dp[i][j] = min(dp[i][j], dp[i - 1][j] + (x < mid ? 1.0 * a[i].second / (x + 1) : 0));
}
}
return dp[n][k - mid];
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef ngu
freopen("test.inp", "r", stdin);
freopen("test.out", "w", stdout);
#endif
cout << fixed << setprecision(15);
cin >> n >> k;
for (int i = 1; i <= n; ++i) {
cin >> a[i].first >> a[i].second;
a[i].second = a[i].second == -1 ? 1e9 : a[i].second;
}
sort(a + 1, a + n + 1, [&](auto x, auto y) {
return x.second < y.second;
});
int l = 1, r = n, res = 0;
for (int i = 1; i <= n; ++i) {
r -= a[i].second == 1e9;
}
r = min(r, k);
while (l <= r) {
int mid = l + r >> 1;
if (get(mid - 1) >= get(mid)) {
res = mid;
l = mid + 1;
} else {
r = mid - 1;
}
}
cout << get(res);
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:58:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
58 | int mid = l + r >> 1;
| ~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2392 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
2 ms |
2648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2392 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
2 ms |
2648 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
2 ms |
2396 KB |
Output is correct |
14 |
Correct |
2 ms |
2396 KB |
Output is correct |
15 |
Correct |
2 ms |
2396 KB |
Output is correct |
16 |
Correct |
4 ms |
2396 KB |
Output is correct |
17 |
Correct |
5 ms |
2396 KB |
Output is correct |
18 |
Correct |
2 ms |
2396 KB |
Output is correct |
19 |
Correct |
6 ms |
2396 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
1 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 |
428 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
1 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 |
428 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
344 KB |
Output is correct |
16 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
20 |
Correct |
0 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 |
1 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 |
532 KB |
Output is correct |
28 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
428 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 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 |
1 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 |
428 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
344 KB |
Output is correct |
16 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
20 |
Correct |
0 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 |
1 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 |
532 KB |
Output is correct |
28 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
428 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 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 |
1 ms |
860 KB |
Output is correct |
42 |
Correct |
0 ms |
860 KB |
Output is correct |
43 |
Correct |
1 ms |
860 KB |
Output is correct |
44 |
Correct |
0 ms |
604 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 |
856 KB |
Output is correct |
48 |
Correct |
1 ms |
604 KB |
Output is correct |
49 |
Correct |
1 ms |
860 KB |
Output is correct |
50 |
Correct |
1 ms |
860 KB |
Output is correct |
51 |
Correct |
1 ms |
860 KB |
Output is correct |
52 |
Correct |
1 ms |
860 KB |
Output is correct |
53 |
Correct |
1 ms |
860 KB |
Output is correct |
54 |
Correct |
1 ms |
604 KB |
Output is correct |
55 |
Correct |
1 ms |
860 KB |
Output is correct |
56 |
Correct |
1 ms |
856 KB |
Output is correct |
57 |
Correct |
1 ms |
604 KB |
Output is correct |
58 |
Correct |
0 ms |
860 KB |
Output is correct |
59 |
Correct |
1 ms |
604 KB |
Output is correct |
60 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2440 KB |
Output is correct |
2 |
Correct |
6 ms |
2396 KB |
Output is correct |
3 |
Correct |
7 ms |
2444 KB |
Output is correct |
4 |
Correct |
4 ms |
2648 KB |
Output is correct |
5 |
Correct |
4 ms |
2396 KB |
Output is correct |
6 |
Correct |
7 ms |
2392 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2392 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
2 ms |
2648 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
2 ms |
2396 KB |
Output is correct |
14 |
Correct |
2 ms |
2396 KB |
Output is correct |
15 |
Correct |
2 ms |
2396 KB |
Output is correct |
16 |
Correct |
4 ms |
2396 KB |
Output is correct |
17 |
Correct |
5 ms |
2396 KB |
Output is correct |
18 |
Correct |
2 ms |
2396 KB |
Output is correct |
19 |
Correct |
6 ms |
2396 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
428 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
344 KB |
Output is correct |
36 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
40 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
0 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 |
0 ms |
532 KB |
Output is correct |
48 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
428 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
860 KB |
Output is correct |
62 |
Correct |
0 ms |
860 KB |
Output is correct |
63 |
Correct |
1 ms |
860 KB |
Output is correct |
64 |
Correct |
0 ms |
604 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 |
856 KB |
Output is correct |
68 |
Correct |
1 ms |
604 KB |
Output is correct |
69 |
Correct |
1 ms |
860 KB |
Output is correct |
70 |
Correct |
1 ms |
860 KB |
Output is correct |
71 |
Correct |
1 ms |
860 KB |
Output is correct |
72 |
Correct |
1 ms |
860 KB |
Output is correct |
73 |
Correct |
1 ms |
860 KB |
Output is correct |
74 |
Correct |
1 ms |
604 KB |
Output is correct |
75 |
Correct |
1 ms |
860 KB |
Output is correct |
76 |
Correct |
1 ms |
856 KB |
Output is correct |
77 |
Correct |
1 ms |
604 KB |
Output is correct |
78 |
Correct |
0 ms |
860 KB |
Output is correct |
79 |
Correct |
1 ms |
604 KB |
Output is correct |
80 |
Correct |
1 ms |
604 KB |
Output is correct |
81 |
Correct |
6 ms |
2440 KB |
Output is correct |
82 |
Correct |
6 ms |
2396 KB |
Output is correct |
83 |
Correct |
7 ms |
2444 KB |
Output is correct |
84 |
Correct |
4 ms |
2648 KB |
Output is correct |
85 |
Correct |
4 ms |
2396 KB |
Output is correct |
86 |
Correct |
7 ms |
2392 KB |
Output is correct |
87 |
Correct |
3 ms |
2396 KB |
Output is correct |
88 |
Correct |
2 ms |
2396 KB |
Output is correct |
89 |
Correct |
1 ms |
2396 KB |
Output is correct |
90 |
Correct |
2 ms |
2396 KB |
Output is correct |
91 |
Correct |
2 ms |
2396 KB |
Output is correct |
92 |
Correct |
4 ms |
2396 KB |
Output is correct |
93 |
Correct |
2 ms |
2396 KB |
Output is correct |
94 |
Correct |
6 ms |
2648 KB |
Output is correct |
95 |
Correct |
3 ms |
2396 KB |
Output is correct |
96 |
Correct |
6 ms |
2396 KB |
Output is correct |
97 |
Correct |
4 ms |
2396 KB |
Output is correct |
98 |
Correct |
5 ms |
2396 KB |
Output is correct |
99 |
Correct |
6 ms |
2396 KB |
Output is correct |
100 |
Correct |
5 ms |
2396 KB |
Output is correct |
101 |
Correct |
4 ms |
2396 KB |
Output is correct |
102 |
Correct |
3 ms |
2396 KB |
Output is correct |
103 |
Correct |
3 ms |
2396 KB |
Output is correct |
104 |
Correct |
4 ms |
2392 KB |
Output is correct |
105 |
Correct |
5 ms |
2396 KB |
Output is correct |