#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
typedef double ld;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cerr.precision(100);
cout.precision(100);
int n, k; cin >> n >> k;
vector<pair<int, int>> v(n);
for(auto &p: v) cin >> p.f >> p.sc;
sort(v.begin(), v.end(), [](pair<ld, ld> a, pair<ld, ld> b){
swap(a.f, a.sc);
swap(b.f, b.sc);
if(a.f == -1) a.f = 1e9;
if(b.f == -1) b.f = 1e9;
return a < b;
});
ld ans = 1e9;
vector<vector<vector<ld>>> dp;
for(int c = 0; c <= k; c++){
dp = vector<vector<vector<ld>>>(n, vector<vector<ld>>(c+1, vector<ld>(k-c+1, 1e6)));
for(int i = 0; i < n; i++) dp[i][0][0] = 0;
for(int i = n-1; i >= 0; i--){
for(int j0 = 0; j0 <= c; j0++) for(int j1 = 0; j1 <= k-c && j0+j1 <= n-i; j1++){
if(j1+j0 == 0) continue;
if(i == n-1){
if(j1 == 1) dp[i][j0][j1] = (ld)v[i].f/(ld)(c+1);
else if(j0 == 1 && v[i].sc != -1) dp[i][j0][j1] = (ld)v[i].sc/(ld)c;
continue;
}
dp[i][j0][j1] = dp[i+1][j0][j1];
if(j1 != 0) dp[i][j0][j1] = min(dp[i][j0][j1], (ld)v[i].f/(ld)(c+1) + dp[i+1][j0][j1-1]);
if(v[i].sc != -1 && j0 != 0){
dp[i][j0][j1] = min(dp[i][j0][j1], (ld)v[i].sc/(ld)(c-j0+1) + dp[i+1][j0-1][j1]);
}
}
}
ans = min(ans, dp[0][c][k-c]);
}
cout << ans << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
312 KB |
Output is correct |
5 |
Correct |
119 ms |
6668 KB |
Output is correct |
6 |
Correct |
1421 ms |
34440 KB |
Output is correct |
7 |
Execution timed out |
2531 ms |
115064 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
312 KB |
Output is correct |
5 |
Correct |
119 ms |
6668 KB |
Output is correct |
6 |
Correct |
1421 ms |
34440 KB |
Output is correct |
7 |
Execution timed out |
2531 ms |
115064 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
316 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
280 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 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 |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
316 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
280 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 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 |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
312 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
308 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
312 KB |
Output is correct |
30 |
Correct |
1 ms |
384 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
308 KB |
Output is correct |
34 |
Correct |
1 ms |
324 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
312 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
316 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
280 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 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 |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
312 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
308 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
312 KB |
Output is correct |
30 |
Correct |
1 ms |
384 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
308 KB |
Output is correct |
34 |
Correct |
1 ms |
324 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
312 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
304 KB |
Output is correct |
41 |
Correct |
2 ms |
452 KB |
Output is correct |
42 |
Correct |
2 ms |
460 KB |
Output is correct |
43 |
Correct |
6 ms |
820 KB |
Output is correct |
44 |
Correct |
6 ms |
832 KB |
Output is correct |
45 |
Correct |
21 ms |
1564 KB |
Output is correct |
46 |
Correct |
22 ms |
1600 KB |
Output is correct |
47 |
Correct |
41 ms |
2408 KB |
Output is correct |
48 |
Correct |
41 ms |
2356 KB |
Output is correct |
49 |
Correct |
66 ms |
3432 KB |
Output is correct |
50 |
Correct |
69 ms |
3588 KB |
Output is correct |
51 |
Correct |
105 ms |
4936 KB |
Output is correct |
52 |
Correct |
106 ms |
4908 KB |
Output is correct |
53 |
Correct |
37 ms |
2380 KB |
Output is correct |
54 |
Correct |
38 ms |
2328 KB |
Output is correct |
55 |
Correct |
37 ms |
2452 KB |
Output is correct |
56 |
Correct |
36 ms |
2360 KB |
Output is correct |
57 |
Correct |
38 ms |
2380 KB |
Output is correct |
58 |
Correct |
40 ms |
2392 KB |
Output is correct |
59 |
Correct |
39 ms |
2376 KB |
Output is correct |
60 |
Correct |
41 ms |
2356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
2570 ms |
226912 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
312 KB |
Output is correct |
5 |
Correct |
119 ms |
6668 KB |
Output is correct |
6 |
Correct |
1421 ms |
34440 KB |
Output is correct |
7 |
Execution timed out |
2531 ms |
115064 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |