#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define pb push_back
#define eb emplace_back
#define pii pair<int,int>
#define X first
#define Y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T i, U ...j) {
cout << i << ' ', abc(j...);
}
template <typename T> void printv(T l, T r) {
for (; l != r; ++l) cout << *l << " \n"[l + 1 == r];
}
#ifdef Doludu
#define test(x...) abc("[" + string(#x) + "]", x)
#define owo freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout)
#else
#define test(x...) void(0)
#define owo ios::sync_with_stdio(false), cin.tie(0);
#endif
const int N = 200000;
int main () {
owo;
int n, k;
cin >> n >> k;
vector <pii> state(n);
for (int i = 0; i < n; ++i) {
cin >> state[i].X >> state[i].Y;
if (state[i].Y == -1)
state[i].Y = 1 << 30;
}
/*
let number of choose B be x
B[i] / 1 + B[i] / 2 + ... + B[i] / x + A[i] / (x + 1) + A[i] / (x + 1) + ...
dp[i][j][k] -> consider first i state, choose j for B, k for C the min answer
*/
sort(all(state), [&](pii i, pii j) {
if (i.Y == j.Y)
return i.X < j.X;
return i.Y < j.Y;
});
double ans = 1e9;
for (int x = 0; x <= k; ++x) {
vector <double> dp(n + 1, 1e9);
dp[0] = 0;
for (int i = 0; i < n; ++i) {
vector <double> nxt(n + 1, 1e9);
for (int j = 0; j <= i + 1; ++j) {
if (j)
nxt[j] = min(nxt[j], dp[j - 1] + double(state[i].X) / (x + 1));
if (i + 1 - j <= x)
nxt[j] = min(nxt[j], dp[j] + double(state[i].Y) / (i + 1 - j));
else
nxt[j] = min(nxt[j], dp[j]);
}
dp = nxt;
}
ans = min(ans, dp[k - x]);
}
cout << fixed << setprecision(10) << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
22 ms |
320 KB |
Output is correct |
6 |
Correct |
56 ms |
304 KB |
Output is correct |
7 |
Correct |
121 ms |
304 KB |
Output is correct |
8 |
Correct |
191 ms |
300 KB |
Output is correct |
9 |
Correct |
261 ms |
300 KB |
Output is correct |
10 |
Correct |
191 ms |
324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
22 ms |
320 KB |
Output is correct |
6 |
Correct |
56 ms |
304 KB |
Output is correct |
7 |
Correct |
121 ms |
304 KB |
Output is correct |
8 |
Correct |
191 ms |
300 KB |
Output is correct |
9 |
Correct |
261 ms |
300 KB |
Output is correct |
10 |
Correct |
191 ms |
324 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
68 ms |
204 KB |
Output is correct |
13 |
Correct |
67 ms |
300 KB |
Output is correct |
14 |
Correct |
70 ms |
204 KB |
Output is correct |
15 |
Correct |
182 ms |
304 KB |
Output is correct |
16 |
Correct |
177 ms |
204 KB |
Output is correct |
17 |
Correct |
173 ms |
308 KB |
Output is correct |
18 |
Correct |
299 ms |
308 KB |
Output is correct |
19 |
Correct |
266 ms |
304 KB |
Output is correct |
20 |
Correct |
266 ms |
308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
2 ms |
204 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
2 ms |
204 KB |
Output is correct |
46 |
Correct |
2 ms |
204 KB |
Output is correct |
47 |
Correct |
2 ms |
204 KB |
Output is correct |
48 |
Correct |
2 ms |
204 KB |
Output is correct |
49 |
Correct |
3 ms |
204 KB |
Output is correct |
50 |
Correct |
2 ms |
204 KB |
Output is correct |
51 |
Correct |
3 ms |
204 KB |
Output is correct |
52 |
Correct |
3 ms |
204 KB |
Output is correct |
53 |
Correct |
2 ms |
204 KB |
Output is correct |
54 |
Correct |
2 ms |
204 KB |
Output is correct |
55 |
Correct |
3 ms |
204 KB |
Output is correct |
56 |
Correct |
2 ms |
204 KB |
Output is correct |
57 |
Correct |
2 ms |
204 KB |
Output is correct |
58 |
Correct |
2 ms |
204 KB |
Output is correct |
59 |
Correct |
2 ms |
204 KB |
Output is correct |
60 |
Correct |
2 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
284 ms |
204 KB |
Output is correct |
2 |
Correct |
259 ms |
304 KB |
Output is correct |
3 |
Correct |
261 ms |
300 KB |
Output is correct |
4 |
Correct |
274 ms |
300 KB |
Output is correct |
5 |
Correct |
258 ms |
304 KB |
Output is correct |
6 |
Correct |
268 ms |
304 KB |
Output is correct |
7 |
Correct |
255 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
22 ms |
320 KB |
Output is correct |
6 |
Correct |
56 ms |
304 KB |
Output is correct |
7 |
Correct |
121 ms |
304 KB |
Output is correct |
8 |
Correct |
191 ms |
300 KB |
Output is correct |
9 |
Correct |
261 ms |
300 KB |
Output is correct |
10 |
Correct |
191 ms |
324 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
68 ms |
204 KB |
Output is correct |
13 |
Correct |
67 ms |
300 KB |
Output is correct |
14 |
Correct |
70 ms |
204 KB |
Output is correct |
15 |
Correct |
182 ms |
304 KB |
Output is correct |
16 |
Correct |
177 ms |
204 KB |
Output is correct |
17 |
Correct |
173 ms |
308 KB |
Output is correct |
18 |
Correct |
299 ms |
308 KB |
Output is correct |
19 |
Correct |
266 ms |
304 KB |
Output is correct |
20 |
Correct |
266 ms |
308 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
0 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
0 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
204 KB |
Output is correct |
49 |
Correct |
0 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
204 KB |
Output is correct |
52 |
Correct |
0 ms |
204 KB |
Output is correct |
53 |
Correct |
0 ms |
204 KB |
Output is correct |
54 |
Correct |
0 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
204 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
1 ms |
204 KB |
Output is correct |
58 |
Correct |
0 ms |
204 KB |
Output is correct |
59 |
Correct |
0 ms |
204 KB |
Output is correct |
60 |
Correct |
0 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
204 KB |
Output is correct |
62 |
Correct |
1 ms |
204 KB |
Output is correct |
63 |
Correct |
2 ms |
204 KB |
Output is correct |
64 |
Correct |
1 ms |
204 KB |
Output is correct |
65 |
Correct |
2 ms |
204 KB |
Output is correct |
66 |
Correct |
2 ms |
204 KB |
Output is correct |
67 |
Correct |
2 ms |
204 KB |
Output is correct |
68 |
Correct |
2 ms |
204 KB |
Output is correct |
69 |
Correct |
3 ms |
204 KB |
Output is correct |
70 |
Correct |
2 ms |
204 KB |
Output is correct |
71 |
Correct |
3 ms |
204 KB |
Output is correct |
72 |
Correct |
3 ms |
204 KB |
Output is correct |
73 |
Correct |
2 ms |
204 KB |
Output is correct |
74 |
Correct |
2 ms |
204 KB |
Output is correct |
75 |
Correct |
3 ms |
204 KB |
Output is correct |
76 |
Correct |
2 ms |
204 KB |
Output is correct |
77 |
Correct |
2 ms |
204 KB |
Output is correct |
78 |
Correct |
2 ms |
204 KB |
Output is correct |
79 |
Correct |
2 ms |
204 KB |
Output is correct |
80 |
Correct |
2 ms |
204 KB |
Output is correct |
81 |
Correct |
284 ms |
204 KB |
Output is correct |
82 |
Correct |
259 ms |
304 KB |
Output is correct |
83 |
Correct |
261 ms |
300 KB |
Output is correct |
84 |
Correct |
274 ms |
300 KB |
Output is correct |
85 |
Correct |
258 ms |
304 KB |
Output is correct |
86 |
Correct |
268 ms |
304 KB |
Output is correct |
87 |
Correct |
255 ms |
204 KB |
Output is correct |
88 |
Correct |
21 ms |
204 KB |
Output is correct |
89 |
Correct |
21 ms |
328 KB |
Output is correct |
90 |
Correct |
55 ms |
308 KB |
Output is correct |
91 |
Correct |
59 ms |
304 KB |
Output is correct |
92 |
Correct |
137 ms |
204 KB |
Output is correct |
93 |
Correct |
126 ms |
204 KB |
Output is correct |
94 |
Correct |
185 ms |
300 KB |
Output is correct |
95 |
Correct |
186 ms |
304 KB |
Output is correct |
96 |
Correct |
246 ms |
316 KB |
Output is correct |
97 |
Correct |
228 ms |
204 KB |
Output is correct |
98 |
Correct |
175 ms |
304 KB |
Output is correct |
99 |
Correct |
177 ms |
308 KB |
Output is correct |
100 |
Correct |
186 ms |
328 KB |
Output is correct |
101 |
Correct |
169 ms |
304 KB |
Output is correct |
102 |
Correct |
175 ms |
204 KB |
Output is correct |
103 |
Correct |
182 ms |
304 KB |
Output is correct |
104 |
Correct |
171 ms |
204 KB |
Output is correct |
105 |
Correct |
170 ms |
308 KB |
Output is correct |