#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> ii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vll;
typedef vector<pll> vpll;
#define PB push_back
#define PF push_front
#define PPB pop_back
#define PPF pop_front
#define X first
#define Y second
#define MP make_pair
#define all(x) (x).begin(), (x).end()
const int mod = 1e9 + 7; //998244353;
const int inf = 1e9 + 7;
const ll INF = 1e18 + 7;
const int logo = 20;
const int MAXN = 700;
const int off = 1 << logo;
const int trsz = off << 1;
const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
typedef long double ld;
typedef pair<ld, ld> pld;
const ld eps = 1e-15;
vector<pld> arr;
ld dp[MAXN][MAXN];
bool cmp(pld &a, pld &b){
if(abs(a.Y - b.Y) > eps) return a.Y < b.Y;
return a.X < b.X;
}
void solve(){
int n, k;
cin >> n >> k;
arr.resize(n);
for(auto &x : arr){
cin >> x.X >> x.Y;
if(x.Y == -1) x.Y = (ld)inf;
}
sort(all(arr), cmp);
//L - broj pomocnika
//R - broj obicnih
ld ans = inf;
for(int L=0; L<=k; L++){
for(int i=0; i<=n; i++) for(int j=0; j<=n; j++) dp[i][j] = (ld)inf;
dp[0][0] = 0;
for(int i=1; i<=n; i++){
pld cur = arr[i - 1];
for(int R=0; R<=min(i, k - L); R++){
int clef = i - R;
if(R) dp[i][R] = min(dp[i][R], dp[i - 1][R - 1] + (ld)cur.X / (ld)(L + 1));
if(clef <= L) dp[i][R] = min(dp[i][R], dp[i - 1][R] + (ld)cur.Y / (ld)clef);
else dp[i][R] = min(dp[i][R], dp[i - 1][R]);
}
}
ans = min(ans, dp[n][k - L]);
}
cout << fixed << setprecision(10) << ans << "\n";
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int tt = 1;
//cin >> tt;
while(tt--) solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
58 ms |
6748 KB |
Output is correct |
6 |
Correct |
161 ms |
6800 KB |
Output is correct |
7 |
Correct |
369 ms |
6748 KB |
Output is correct |
8 |
Correct |
612 ms |
6816 KB |
Output is correct |
9 |
Correct |
882 ms |
6804 KB |
Output is correct |
10 |
Correct |
562 ms |
6992 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
58 ms |
6748 KB |
Output is correct |
6 |
Correct |
161 ms |
6800 KB |
Output is correct |
7 |
Correct |
369 ms |
6748 KB |
Output is correct |
8 |
Correct |
612 ms |
6816 KB |
Output is correct |
9 |
Correct |
882 ms |
6804 KB |
Output is correct |
10 |
Correct |
562 ms |
6992 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
199 ms |
6800 KB |
Output is correct |
13 |
Correct |
198 ms |
6800 KB |
Output is correct |
14 |
Correct |
201 ms |
6800 KB |
Output is correct |
15 |
Correct |
558 ms |
6804 KB |
Output is correct |
16 |
Correct |
560 ms |
6800 KB |
Output is correct |
17 |
Correct |
568 ms |
6804 KB |
Output is correct |
18 |
Correct |
875 ms |
6804 KB |
Output is correct |
19 |
Correct |
884 ms |
6796 KB |
Output is correct |
20 |
Correct |
878 ms |
6996 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
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 |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 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 |
468 KB |
Output is correct |
13 |
Correct |
1 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 |
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 |
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 |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 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 |
468 KB |
Output is correct |
13 |
Correct |
1 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 |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2404 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2508 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2648 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2588 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
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 |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 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 |
468 KB |
Output is correct |
13 |
Correct |
1 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 |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2404 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2508 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2648 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2588 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
2 ms |
2396 KB |
Output is correct |
44 |
Correct |
2 ms |
2396 KB |
Output is correct |
45 |
Correct |
4 ms |
2396 KB |
Output is correct |
46 |
Correct |
4 ms |
2396 KB |
Output is correct |
47 |
Correct |
5 ms |
2396 KB |
Output is correct |
48 |
Correct |
5 ms |
2392 KB |
Output is correct |
49 |
Correct |
6 ms |
2396 KB |
Output is correct |
50 |
Correct |
6 ms |
2396 KB |
Output is correct |
51 |
Correct |
8 ms |
2392 KB |
Output is correct |
52 |
Correct |
8 ms |
2396 KB |
Output is correct |
53 |
Correct |
5 ms |
2396 KB |
Output is correct |
54 |
Correct |
5 ms |
2392 KB |
Output is correct |
55 |
Correct |
5 ms |
2616 KB |
Output is correct |
56 |
Correct |
5 ms |
2392 KB |
Output is correct |
57 |
Correct |
5 ms |
2392 KB |
Output is correct |
58 |
Correct |
5 ms |
2396 KB |
Output is correct |
59 |
Correct |
5 ms |
2516 KB |
Output is correct |
60 |
Correct |
5 ms |
2508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
866 ms |
7000 KB |
Output is correct |
2 |
Correct |
866 ms |
6744 KB |
Output is correct |
3 |
Correct |
867 ms |
6748 KB |
Output is correct |
4 |
Correct |
864 ms |
6800 KB |
Output is correct |
5 |
Correct |
872 ms |
6800 KB |
Output is correct |
6 |
Correct |
864 ms |
6744 KB |
Output is correct |
7 |
Correct |
880 ms |
6804 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
58 ms |
6748 KB |
Output is correct |
6 |
Correct |
161 ms |
6800 KB |
Output is correct |
7 |
Correct |
369 ms |
6748 KB |
Output is correct |
8 |
Correct |
612 ms |
6816 KB |
Output is correct |
9 |
Correct |
882 ms |
6804 KB |
Output is correct |
10 |
Correct |
562 ms |
6992 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
199 ms |
6800 KB |
Output is correct |
13 |
Correct |
198 ms |
6800 KB |
Output is correct |
14 |
Correct |
201 ms |
6800 KB |
Output is correct |
15 |
Correct |
558 ms |
6804 KB |
Output is correct |
16 |
Correct |
560 ms |
6800 KB |
Output is correct |
17 |
Correct |
568 ms |
6804 KB |
Output is correct |
18 |
Correct |
875 ms |
6804 KB |
Output is correct |
19 |
Correct |
884 ms |
6796 KB |
Output is correct |
20 |
Correct |
878 ms |
6996 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
0 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 |
600 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 |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
468 KB |
Output is correct |
33 |
Correct |
1 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 |
1 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2404 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
2396 KB |
Output is correct |
44 |
Correct |
1 ms |
2396 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2396 KB |
Output is correct |
50 |
Correct |
1 ms |
2508 KB |
Output is correct |
51 |
Correct |
1 ms |
2396 KB |
Output is correct |
52 |
Correct |
1 ms |
2648 KB |
Output is correct |
53 |
Correct |
1 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
2396 KB |
Output is correct |
55 |
Correct |
1 ms |
2396 KB |
Output is correct |
56 |
Correct |
1 ms |
2396 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
1 ms |
2396 KB |
Output is correct |
59 |
Correct |
1 ms |
2588 KB |
Output is correct |
60 |
Correct |
1 ms |
2396 KB |
Output is correct |
61 |
Correct |
1 ms |
2396 KB |
Output is correct |
62 |
Correct |
1 ms |
2396 KB |
Output is correct |
63 |
Correct |
2 ms |
2396 KB |
Output is correct |
64 |
Correct |
2 ms |
2396 KB |
Output is correct |
65 |
Correct |
4 ms |
2396 KB |
Output is correct |
66 |
Correct |
4 ms |
2396 KB |
Output is correct |
67 |
Correct |
5 ms |
2396 KB |
Output is correct |
68 |
Correct |
5 ms |
2392 KB |
Output is correct |
69 |
Correct |
6 ms |
2396 KB |
Output is correct |
70 |
Correct |
6 ms |
2396 KB |
Output is correct |
71 |
Correct |
8 ms |
2392 KB |
Output is correct |
72 |
Correct |
8 ms |
2396 KB |
Output is correct |
73 |
Correct |
5 ms |
2396 KB |
Output is correct |
74 |
Correct |
5 ms |
2392 KB |
Output is correct |
75 |
Correct |
5 ms |
2616 KB |
Output is correct |
76 |
Correct |
5 ms |
2392 KB |
Output is correct |
77 |
Correct |
5 ms |
2392 KB |
Output is correct |
78 |
Correct |
5 ms |
2396 KB |
Output is correct |
79 |
Correct |
5 ms |
2516 KB |
Output is correct |
80 |
Correct |
5 ms |
2508 KB |
Output is correct |
81 |
Correct |
866 ms |
7000 KB |
Output is correct |
82 |
Correct |
866 ms |
6744 KB |
Output is correct |
83 |
Correct |
867 ms |
6748 KB |
Output is correct |
84 |
Correct |
864 ms |
6800 KB |
Output is correct |
85 |
Correct |
872 ms |
6800 KB |
Output is correct |
86 |
Correct |
864 ms |
6744 KB |
Output is correct |
87 |
Correct |
880 ms |
6804 KB |
Output is correct |
88 |
Correct |
58 ms |
6748 KB |
Output is correct |
89 |
Correct |
58 ms |
6748 KB |
Output is correct |
90 |
Correct |
159 ms |
6804 KB |
Output is correct |
91 |
Correct |
163 ms |
6824 KB |
Output is correct |
92 |
Correct |
367 ms |
6800 KB |
Output is correct |
93 |
Correct |
368 ms |
6800 KB |
Output is correct |
94 |
Correct |
605 ms |
6748 KB |
Output is correct |
95 |
Correct |
647 ms |
6992 KB |
Output is correct |
96 |
Correct |
768 ms |
6800 KB |
Output is correct |
97 |
Correct |
764 ms |
6992 KB |
Output is correct |
98 |
Correct |
565 ms |
6992 KB |
Output is correct |
99 |
Correct |
558 ms |
6748 KB |
Output is correct |
100 |
Correct |
569 ms |
6996 KB |
Output is correct |
101 |
Correct |
564 ms |
6816 KB |
Output is correct |
102 |
Correct |
571 ms |
6748 KB |
Output is correct |
103 |
Correct |
565 ms |
6748 KB |
Output is correct |
104 |
Correct |
568 ms |
6804 KB |
Output is correct |
105 |
Correct |
559 ms |
6800 KB |
Output is correct |