#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 505;
const int inf = 1ll << 60;
int n,k,a[N],b[N];
long double eval(int x){
if((k-x) < 0){
return inf;
}
long double dp[n+2][n+2];
for(int i = 0;i<=n;i++){
for(int j = 0;j<=n;j++){
dp[i][j] = 1e18 + 7;
}
}
dp[0][0] = 0;
for(int i = 0;i<n;i++){
for(int j = 0;j<=n;j++){
//ai alır
dp[i+1][j+1] = min(dp[i+1][j+1] , dp[i][j] + (long double)a[i] / (long double)(x+1));
//bi / almaz
if((i+1-j) <= x){
dp[i+1][j] = min(dp[i+1][j] , dp[i][j] + (long double)b[i] / (long double)(i+1-j));
}
else {
dp[i+1][j] = min(dp[i+1][j] , dp[i][j]);
}
}
}
return dp[n][k-x];
}
void solve(){
cin >> n >> k;
pair < int , int > arr[n];
int sayac = n;
for(int i = 0;i<n;i++){
cin >> arr[i].second >> arr[i].first;
if(arr[i].first == -1){
arr[i].first = inf;
sayac--;
}
}
sort(arr , arr + n);
for(int i = 0;i<n;i++){
a[i] = arr[i].second;
b[i] = arr[i].first;
}
long double ans = 1e18 + 7;
for(int i = 0;i<=sayac;i++){
ans = min(ans , eval(i));
}
cout << fixed << setprecision(9) << ans << endl;
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int testcase = 1;//cin >> testcase;
while(testcase--)solve();
}
/*
obs1 : almadıklarımdan ilk x tanesini kesin alcam
dp[i][j] -> şimdiye kadar kaç tane aldım
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
6 ms |
4344 KB |
Output is correct |
6 |
Correct |
6 ms |
4184 KB |
Output is correct |
7 |
Correct |
6 ms |
4188 KB |
Output is correct |
8 |
Correct |
6 ms |
4188 KB |
Output is correct |
9 |
Correct |
6 ms |
4188 KB |
Output is correct |
10 |
Correct |
6 ms |
4188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
6 ms |
4344 KB |
Output is correct |
6 |
Correct |
6 ms |
4184 KB |
Output is correct |
7 |
Correct |
6 ms |
4188 KB |
Output is correct |
8 |
Correct |
6 ms |
4188 KB |
Output is correct |
9 |
Correct |
6 ms |
4188 KB |
Output is correct |
10 |
Correct |
6 ms |
4188 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
528 ms |
4188 KB |
Output is correct |
13 |
Correct |
535 ms |
4388 KB |
Output is correct |
14 |
Correct |
359 ms |
4384 KB |
Output is correct |
15 |
Correct |
1239 ms |
4392 KB |
Output is correct |
16 |
Correct |
1051 ms |
4396 KB |
Output is correct |
17 |
Correct |
349 ms |
4404 KB |
Output is correct |
18 |
Correct |
1814 ms |
4388 KB |
Output is correct |
19 |
Correct |
1121 ms |
4404 KB |
Output is correct |
20 |
Correct |
321 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
456 KB |
Output is correct |
24 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
460 KB |
Output is correct |
30 |
Correct |
0 ms |
344 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 |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
456 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
344 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
464 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
456 KB |
Output is correct |
24 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
460 KB |
Output is correct |
30 |
Correct |
0 ms |
344 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 |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
456 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
344 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
464 KB |
Output is correct |
41 |
Correct |
3 ms |
604 KB |
Output is correct |
42 |
Correct |
3 ms |
604 KB |
Output is correct |
43 |
Correct |
5 ms |
600 KB |
Output is correct |
44 |
Correct |
5 ms |
464 KB |
Output is correct |
45 |
Correct |
8 ms |
600 KB |
Output is correct |
46 |
Correct |
8 ms |
604 KB |
Output is correct |
47 |
Correct |
11 ms |
604 KB |
Output is correct |
48 |
Correct |
10 ms |
604 KB |
Output is correct |
49 |
Correct |
16 ms |
604 KB |
Output is correct |
50 |
Correct |
12 ms |
604 KB |
Output is correct |
51 |
Correct |
15 ms |
604 KB |
Output is correct |
52 |
Correct |
12 ms |
468 KB |
Output is correct |
53 |
Correct |
10 ms |
604 KB |
Output is correct |
54 |
Correct |
10 ms |
624 KB |
Output is correct |
55 |
Correct |
10 ms |
600 KB |
Output is correct |
56 |
Correct |
10 ms |
604 KB |
Output is correct |
57 |
Correct |
10 ms |
604 KB |
Output is correct |
58 |
Correct |
10 ms |
604 KB |
Output is correct |
59 |
Correct |
10 ms |
604 KB |
Output is correct |
60 |
Correct |
10 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1773 ms |
4396 KB |
Output is correct |
2 |
Correct |
1814 ms |
4392 KB |
Output is correct |
3 |
Correct |
1834 ms |
4388 KB |
Output is correct |
4 |
Correct |
1763 ms |
4396 KB |
Output is correct |
5 |
Correct |
1770 ms |
4432 KB |
Output is correct |
6 |
Correct |
1769 ms |
4392 KB |
Output is correct |
7 |
Correct |
1779 ms |
4392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
6 ms |
4344 KB |
Output is correct |
6 |
Correct |
6 ms |
4184 KB |
Output is correct |
7 |
Correct |
6 ms |
4188 KB |
Output is correct |
8 |
Correct |
6 ms |
4188 KB |
Output is correct |
9 |
Correct |
6 ms |
4188 KB |
Output is correct |
10 |
Correct |
6 ms |
4188 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
528 ms |
4188 KB |
Output is correct |
13 |
Correct |
535 ms |
4388 KB |
Output is correct |
14 |
Correct |
359 ms |
4384 KB |
Output is correct |
15 |
Correct |
1239 ms |
4392 KB |
Output is correct |
16 |
Correct |
1051 ms |
4396 KB |
Output is correct |
17 |
Correct |
349 ms |
4404 KB |
Output is correct |
18 |
Correct |
1814 ms |
4388 KB |
Output is correct |
19 |
Correct |
1121 ms |
4404 KB |
Output is correct |
20 |
Correct |
321 ms |
4184 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
344 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 |
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 |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
344 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
456 KB |
Output is correct |
44 |
Correct |
0 ms |
344 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 |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
460 KB |
Output is correct |
50 |
Correct |
0 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
456 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
344 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
464 KB |
Output is correct |
61 |
Correct |
3 ms |
604 KB |
Output is correct |
62 |
Correct |
3 ms |
604 KB |
Output is correct |
63 |
Correct |
5 ms |
600 KB |
Output is correct |
64 |
Correct |
5 ms |
464 KB |
Output is correct |
65 |
Correct |
8 ms |
600 KB |
Output is correct |
66 |
Correct |
8 ms |
604 KB |
Output is correct |
67 |
Correct |
11 ms |
604 KB |
Output is correct |
68 |
Correct |
10 ms |
604 KB |
Output is correct |
69 |
Correct |
16 ms |
604 KB |
Output is correct |
70 |
Correct |
12 ms |
604 KB |
Output is correct |
71 |
Correct |
15 ms |
604 KB |
Output is correct |
72 |
Correct |
12 ms |
468 KB |
Output is correct |
73 |
Correct |
10 ms |
604 KB |
Output is correct |
74 |
Correct |
10 ms |
624 KB |
Output is correct |
75 |
Correct |
10 ms |
600 KB |
Output is correct |
76 |
Correct |
10 ms |
604 KB |
Output is correct |
77 |
Correct |
10 ms |
604 KB |
Output is correct |
78 |
Correct |
10 ms |
604 KB |
Output is correct |
79 |
Correct |
10 ms |
604 KB |
Output is correct |
80 |
Correct |
10 ms |
604 KB |
Output is correct |
81 |
Correct |
1773 ms |
4396 KB |
Output is correct |
82 |
Correct |
1814 ms |
4392 KB |
Output is correct |
83 |
Correct |
1834 ms |
4388 KB |
Output is correct |
84 |
Correct |
1763 ms |
4396 KB |
Output is correct |
85 |
Correct |
1770 ms |
4432 KB |
Output is correct |
86 |
Correct |
1769 ms |
4392 KB |
Output is correct |
87 |
Correct |
1779 ms |
4392 KB |
Output is correct |
88 |
Correct |
181 ms |
4184 KB |
Output is correct |
89 |
Correct |
182 ms |
4440 KB |
Output is correct |
90 |
Correct |
440 ms |
4184 KB |
Output is correct |
91 |
Correct |
443 ms |
4408 KB |
Output is correct |
92 |
Correct |
882 ms |
4188 KB |
Output is correct |
93 |
Correct |
887 ms |
4396 KB |
Output is correct |
94 |
Correct |
1403 ms |
4188 KB |
Output is correct |
95 |
Correct |
1332 ms |
4388 KB |
Output is correct |
96 |
Correct |
1585 ms |
4412 KB |
Output is correct |
97 |
Correct |
1652 ms |
4392 KB |
Output is correct |
98 |
Correct |
1236 ms |
4392 KB |
Output is correct |
99 |
Correct |
1264 ms |
4412 KB |
Output is correct |
100 |
Correct |
1280 ms |
4388 KB |
Output is correct |
101 |
Correct |
1237 ms |
4392 KB |
Output is correct |
102 |
Correct |
1262 ms |
4392 KB |
Output is correct |
103 |
Correct |
1278 ms |
4432 KB |
Output is correct |
104 |
Correct |
1244 ms |
4392 KB |
Output is correct |
105 |
Correct |
1275 ms |
4392 KB |
Output is correct |