#include <bits/stdc++.h>
using namespace std;
#define fileio() freopen("input.txt","r",stdin); freopen("output.txt","w",stdout)
#define fio() ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define all(x) (x).begin(), (x).end()
#define allr(x) x.rbegin(), x.rend()
#define cmprs(x) sort(all(x)),x.erase(unique(all(x)),x.end())
#define endl "\n"
#define sp " "
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define F first
#define S second
#define rz resize
#define sz(a) (int)(a.size())
#define clr(a) a.clear()
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<int, ll> pil;
typedef tuple<int, int, int> tpi;
typedef tuple<ll, ll, ll> tpl;
typedef pair<double, ll> pdl;
typedef pair<double, int> pdi;
const int dx[] = {1,-1,0,0,1,1,-1,-1};
const int dy[] = {0,0,1,-1,1,-1,1,-1};
const ll MOD = 1e9+7;
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3f;
const int MAX = 505; // PLZ CHK!
int N,K;
pair<double,double> A[MAX];
double D[MAX][MAX];
const double eps=1e-9;
double go(int i, int x, int h) {
if (x==K-h && i-1-x>=h) return 0.0;
if (i>N) return 1e9;
double &ret=D[i][x];
if (ret>-1.0) return ret;
ret=1e9;
if (x<K-h) ret=min(ret, A[i].first/(1.0*(1+h))+go(i+1,x+1,h));
int y=i-1-x;
double t=0.0;
if (y<h) t=A[i].second/(1.0*(1+y));
ret=min(ret, t+go(i+1,x,h));
return ret;
}
int main() {
fio();
cin>>N>>K;
for (int i=1; i<=N; i++) {
cin>>A[i].first>>A[i].second;
if (abs(A[i].second+1.0)<eps) A[i].second=1e6;
}
sort(A+1,A+N+1,[](auto a, auto b){
return a.second<b.second;
});
double ans=1e9;
for (int i=0; i<=K; i++) {
fill_n(&D[0][0],MAX*MAX,-1.0);
// cout<<go(1,0,i)<<endl;
ans=min(ans, go(1,0,i));
}
cout<<fixed; cout.precision(10);
cout<<ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
14 ms |
2384 KB |
Output is correct |
6 |
Correct |
55 ms |
2480 KB |
Output is correct |
7 |
Correct |
187 ms |
2384 KB |
Output is correct |
8 |
Correct |
356 ms |
2384 KB |
Output is correct |
9 |
Correct |
552 ms |
2384 KB |
Output is correct |
10 |
Correct |
328 ms |
2488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
14 ms |
2384 KB |
Output is correct |
6 |
Correct |
55 ms |
2480 KB |
Output is correct |
7 |
Correct |
187 ms |
2384 KB |
Output is correct |
8 |
Correct |
356 ms |
2384 KB |
Output is correct |
9 |
Correct |
552 ms |
2384 KB |
Output is correct |
10 |
Correct |
328 ms |
2488 KB |
Output is correct |
11 |
Correct |
2 ms |
2384 KB |
Output is correct |
12 |
Correct |
83 ms |
2384 KB |
Output is correct |
13 |
Correct |
79 ms |
2384 KB |
Output is correct |
14 |
Correct |
81 ms |
2384 KB |
Output is correct |
15 |
Correct |
325 ms |
2384 KB |
Output is correct |
16 |
Correct |
322 ms |
2552 KB |
Output is correct |
17 |
Correct |
318 ms |
2484 KB |
Output is correct |
18 |
Correct |
542 ms |
2384 KB |
Output is correct |
19 |
Correct |
555 ms |
2480 KB |
Output is correct |
20 |
Correct |
574 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2384 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
2 ms |
2384 KB |
Output is correct |
6 |
Correct |
2 ms |
2384 KB |
Output is correct |
7 |
Correct |
2 ms |
2384 KB |
Output is correct |
8 |
Correct |
4 ms |
2384 KB |
Output is correct |
9 |
Correct |
3 ms |
2384 KB |
Output is correct |
10 |
Correct |
2 ms |
2384 KB |
Output is correct |
11 |
Correct |
2 ms |
2384 KB |
Output is correct |
12 |
Correct |
3 ms |
2400 KB |
Output is correct |
13 |
Correct |
3 ms |
2384 KB |
Output is correct |
14 |
Correct |
2 ms |
2384 KB |
Output is correct |
15 |
Correct |
4 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2384 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
2 ms |
2384 KB |
Output is correct |
6 |
Correct |
2 ms |
2384 KB |
Output is correct |
7 |
Correct |
2 ms |
2384 KB |
Output is correct |
8 |
Correct |
4 ms |
2384 KB |
Output is correct |
9 |
Correct |
3 ms |
2384 KB |
Output is correct |
10 |
Correct |
2 ms |
2384 KB |
Output is correct |
11 |
Correct |
2 ms |
2384 KB |
Output is correct |
12 |
Correct |
3 ms |
2400 KB |
Output is correct |
13 |
Correct |
3 ms |
2384 KB |
Output is correct |
14 |
Correct |
2 ms |
2384 KB |
Output is correct |
15 |
Correct |
4 ms |
2384 KB |
Output is correct |
16 |
Correct |
2 ms |
2384 KB |
Output is correct |
17 |
Correct |
3 ms |
2384 KB |
Output is correct |
18 |
Correct |
3 ms |
2384 KB |
Output is correct |
19 |
Correct |
3 ms |
2456 KB |
Output is correct |
20 |
Correct |
3 ms |
2384 KB |
Output is correct |
21 |
Correct |
3 ms |
2384 KB |
Output is correct |
22 |
Correct |
4 ms |
2384 KB |
Output is correct |
23 |
Correct |
4 ms |
2384 KB |
Output is correct |
24 |
Correct |
3 ms |
2256 KB |
Output is correct |
25 |
Correct |
6 ms |
2384 KB |
Output is correct |
26 |
Correct |
6 ms |
2384 KB |
Output is correct |
27 |
Correct |
3 ms |
2384 KB |
Output is correct |
28 |
Correct |
4 ms |
2392 KB |
Output is correct |
29 |
Correct |
3 ms |
2556 KB |
Output is correct |
30 |
Correct |
3 ms |
2384 KB |
Output is correct |
31 |
Correct |
3 ms |
2552 KB |
Output is correct |
32 |
Correct |
4 ms |
2384 KB |
Output is correct |
33 |
Correct |
3 ms |
2384 KB |
Output is correct |
34 |
Correct |
4 ms |
2304 KB |
Output is correct |
35 |
Correct |
4 ms |
2384 KB |
Output is correct |
36 |
Correct |
3 ms |
2384 KB |
Output is correct |
37 |
Correct |
4 ms |
2384 KB |
Output is correct |
38 |
Correct |
3 ms |
2384 KB |
Output is correct |
39 |
Correct |
4 ms |
2384 KB |
Output is correct |
40 |
Correct |
3 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2384 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
2 ms |
2384 KB |
Output is correct |
6 |
Correct |
2 ms |
2384 KB |
Output is correct |
7 |
Correct |
2 ms |
2384 KB |
Output is correct |
8 |
Correct |
4 ms |
2384 KB |
Output is correct |
9 |
Correct |
3 ms |
2384 KB |
Output is correct |
10 |
Correct |
2 ms |
2384 KB |
Output is correct |
11 |
Correct |
2 ms |
2384 KB |
Output is correct |
12 |
Correct |
3 ms |
2400 KB |
Output is correct |
13 |
Correct |
3 ms |
2384 KB |
Output is correct |
14 |
Correct |
2 ms |
2384 KB |
Output is correct |
15 |
Correct |
4 ms |
2384 KB |
Output is correct |
16 |
Correct |
2 ms |
2384 KB |
Output is correct |
17 |
Correct |
3 ms |
2384 KB |
Output is correct |
18 |
Correct |
3 ms |
2384 KB |
Output is correct |
19 |
Correct |
3 ms |
2456 KB |
Output is correct |
20 |
Correct |
3 ms |
2384 KB |
Output is correct |
21 |
Correct |
3 ms |
2384 KB |
Output is correct |
22 |
Correct |
4 ms |
2384 KB |
Output is correct |
23 |
Correct |
4 ms |
2384 KB |
Output is correct |
24 |
Correct |
3 ms |
2256 KB |
Output is correct |
25 |
Correct |
6 ms |
2384 KB |
Output is correct |
26 |
Correct |
6 ms |
2384 KB |
Output is correct |
27 |
Correct |
3 ms |
2384 KB |
Output is correct |
28 |
Correct |
4 ms |
2392 KB |
Output is correct |
29 |
Correct |
3 ms |
2556 KB |
Output is correct |
30 |
Correct |
3 ms |
2384 KB |
Output is correct |
31 |
Correct |
3 ms |
2552 KB |
Output is correct |
32 |
Correct |
4 ms |
2384 KB |
Output is correct |
33 |
Correct |
3 ms |
2384 KB |
Output is correct |
34 |
Correct |
4 ms |
2304 KB |
Output is correct |
35 |
Correct |
4 ms |
2384 KB |
Output is correct |
36 |
Correct |
3 ms |
2384 KB |
Output is correct |
37 |
Correct |
4 ms |
2384 KB |
Output is correct |
38 |
Correct |
3 ms |
2384 KB |
Output is correct |
39 |
Correct |
4 ms |
2384 KB |
Output is correct |
40 |
Correct |
3 ms |
2384 KB |
Output is correct |
41 |
Correct |
4 ms |
2384 KB |
Output is correct |
42 |
Correct |
4 ms |
2384 KB |
Output is correct |
43 |
Correct |
5 ms |
2384 KB |
Output is correct |
44 |
Correct |
5 ms |
2384 KB |
Output is correct |
45 |
Correct |
8 ms |
2460 KB |
Output is correct |
46 |
Correct |
8 ms |
2384 KB |
Output is correct |
47 |
Correct |
9 ms |
2464 KB |
Output is correct |
48 |
Correct |
10 ms |
2552 KB |
Output is correct |
49 |
Correct |
12 ms |
2384 KB |
Output is correct |
50 |
Correct |
12 ms |
2460 KB |
Output is correct |
51 |
Correct |
15 ms |
2384 KB |
Output is correct |
52 |
Correct |
15 ms |
2384 KB |
Output is correct |
53 |
Correct |
10 ms |
2396 KB |
Output is correct |
54 |
Correct |
9 ms |
2384 KB |
Output is correct |
55 |
Correct |
9 ms |
2384 KB |
Output is correct |
56 |
Correct |
10 ms |
2436 KB |
Output is correct |
57 |
Correct |
9 ms |
2384 KB |
Output is correct |
58 |
Correct |
10 ms |
2384 KB |
Output is correct |
59 |
Correct |
10 ms |
2464 KB |
Output is correct |
60 |
Correct |
10 ms |
2460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
548 ms |
2632 KB |
Output is correct |
2 |
Correct |
561 ms |
2384 KB |
Output is correct |
3 |
Correct |
553 ms |
2384 KB |
Output is correct |
4 |
Correct |
561 ms |
2384 KB |
Output is correct |
5 |
Correct |
557 ms |
2384 KB |
Output is correct |
6 |
Correct |
632 ms |
2488 KB |
Output is correct |
7 |
Correct |
549 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
2 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
14 ms |
2384 KB |
Output is correct |
6 |
Correct |
55 ms |
2480 KB |
Output is correct |
7 |
Correct |
187 ms |
2384 KB |
Output is correct |
8 |
Correct |
356 ms |
2384 KB |
Output is correct |
9 |
Correct |
552 ms |
2384 KB |
Output is correct |
10 |
Correct |
328 ms |
2488 KB |
Output is correct |
11 |
Correct |
2 ms |
2384 KB |
Output is correct |
12 |
Correct |
83 ms |
2384 KB |
Output is correct |
13 |
Correct |
79 ms |
2384 KB |
Output is correct |
14 |
Correct |
81 ms |
2384 KB |
Output is correct |
15 |
Correct |
325 ms |
2384 KB |
Output is correct |
16 |
Correct |
322 ms |
2552 KB |
Output is correct |
17 |
Correct |
318 ms |
2484 KB |
Output is correct |
18 |
Correct |
542 ms |
2384 KB |
Output is correct |
19 |
Correct |
555 ms |
2480 KB |
Output is correct |
20 |
Correct |
574 ms |
2384 KB |
Output is correct |
21 |
Correct |
2 ms |
2384 KB |
Output is correct |
22 |
Correct |
2 ms |
2384 KB |
Output is correct |
23 |
Correct |
2 ms |
2384 KB |
Output is correct |
24 |
Correct |
2 ms |
2384 KB |
Output is correct |
25 |
Correct |
2 ms |
2384 KB |
Output is correct |
26 |
Correct |
2 ms |
2384 KB |
Output is correct |
27 |
Correct |
2 ms |
2384 KB |
Output is correct |
28 |
Correct |
4 ms |
2384 KB |
Output is correct |
29 |
Correct |
3 ms |
2384 KB |
Output is correct |
30 |
Correct |
2 ms |
2384 KB |
Output is correct |
31 |
Correct |
2 ms |
2384 KB |
Output is correct |
32 |
Correct |
3 ms |
2400 KB |
Output is correct |
33 |
Correct |
3 ms |
2384 KB |
Output is correct |
34 |
Correct |
2 ms |
2384 KB |
Output is correct |
35 |
Correct |
4 ms |
2384 KB |
Output is correct |
36 |
Correct |
2 ms |
2384 KB |
Output is correct |
37 |
Correct |
3 ms |
2384 KB |
Output is correct |
38 |
Correct |
3 ms |
2384 KB |
Output is correct |
39 |
Correct |
3 ms |
2456 KB |
Output is correct |
40 |
Correct |
3 ms |
2384 KB |
Output is correct |
41 |
Correct |
3 ms |
2384 KB |
Output is correct |
42 |
Correct |
4 ms |
2384 KB |
Output is correct |
43 |
Correct |
4 ms |
2384 KB |
Output is correct |
44 |
Correct |
3 ms |
2256 KB |
Output is correct |
45 |
Correct |
6 ms |
2384 KB |
Output is correct |
46 |
Correct |
6 ms |
2384 KB |
Output is correct |
47 |
Correct |
3 ms |
2384 KB |
Output is correct |
48 |
Correct |
4 ms |
2392 KB |
Output is correct |
49 |
Correct |
3 ms |
2556 KB |
Output is correct |
50 |
Correct |
3 ms |
2384 KB |
Output is correct |
51 |
Correct |
3 ms |
2552 KB |
Output is correct |
52 |
Correct |
4 ms |
2384 KB |
Output is correct |
53 |
Correct |
3 ms |
2384 KB |
Output is correct |
54 |
Correct |
4 ms |
2304 KB |
Output is correct |
55 |
Correct |
4 ms |
2384 KB |
Output is correct |
56 |
Correct |
3 ms |
2384 KB |
Output is correct |
57 |
Correct |
4 ms |
2384 KB |
Output is correct |
58 |
Correct |
3 ms |
2384 KB |
Output is correct |
59 |
Correct |
4 ms |
2384 KB |
Output is correct |
60 |
Correct |
3 ms |
2384 KB |
Output is correct |
61 |
Correct |
4 ms |
2384 KB |
Output is correct |
62 |
Correct |
4 ms |
2384 KB |
Output is correct |
63 |
Correct |
5 ms |
2384 KB |
Output is correct |
64 |
Correct |
5 ms |
2384 KB |
Output is correct |
65 |
Correct |
8 ms |
2460 KB |
Output is correct |
66 |
Correct |
8 ms |
2384 KB |
Output is correct |
67 |
Correct |
9 ms |
2464 KB |
Output is correct |
68 |
Correct |
10 ms |
2552 KB |
Output is correct |
69 |
Correct |
12 ms |
2384 KB |
Output is correct |
70 |
Correct |
12 ms |
2460 KB |
Output is correct |
71 |
Correct |
15 ms |
2384 KB |
Output is correct |
72 |
Correct |
15 ms |
2384 KB |
Output is correct |
73 |
Correct |
10 ms |
2396 KB |
Output is correct |
74 |
Correct |
9 ms |
2384 KB |
Output is correct |
75 |
Correct |
9 ms |
2384 KB |
Output is correct |
76 |
Correct |
10 ms |
2436 KB |
Output is correct |
77 |
Correct |
9 ms |
2384 KB |
Output is correct |
78 |
Correct |
10 ms |
2384 KB |
Output is correct |
79 |
Correct |
10 ms |
2464 KB |
Output is correct |
80 |
Correct |
10 ms |
2460 KB |
Output is correct |
81 |
Correct |
548 ms |
2632 KB |
Output is correct |
82 |
Correct |
561 ms |
2384 KB |
Output is correct |
83 |
Correct |
553 ms |
2384 KB |
Output is correct |
84 |
Correct |
561 ms |
2384 KB |
Output is correct |
85 |
Correct |
557 ms |
2384 KB |
Output is correct |
86 |
Correct |
632 ms |
2488 KB |
Output is correct |
87 |
Correct |
549 ms |
2384 KB |
Output is correct |
88 |
Correct |
14 ms |
2384 KB |
Output is correct |
89 |
Correct |
14 ms |
2384 KB |
Output is correct |
90 |
Correct |
58 ms |
2384 KB |
Output is correct |
91 |
Correct |
64 ms |
2552 KB |
Output is correct |
92 |
Correct |
186 ms |
2384 KB |
Output is correct |
93 |
Correct |
185 ms |
2384 KB |
Output is correct |
94 |
Correct |
362 ms |
2556 KB |
Output is correct |
95 |
Correct |
356 ms |
2384 KB |
Output is correct |
96 |
Correct |
505 ms |
2384 KB |
Output is correct |
97 |
Correct |
474 ms |
2552 KB |
Output is correct |
98 |
Correct |
320 ms |
2260 KB |
Output is correct |
99 |
Correct |
324 ms |
2252 KB |
Output is correct |
100 |
Correct |
327 ms |
2384 KB |
Output is correct |
101 |
Correct |
319 ms |
2384 KB |
Output is correct |
102 |
Correct |
330 ms |
2384 KB |
Output is correct |
103 |
Correct |
316 ms |
2384 KB |
Output is correct |
104 |
Correct |
321 ms |
2384 KB |
Output is correct |
105 |
Correct |
324 ms |
2488 KB |
Output is correct |