#include <bits/stdc++.h>
#include <fstream>
using namespace std;
template<class A, class B>
ostream& operator<<(ostream& o, const pair<A, B>& p) {return o << '(' << p.first << ", " << p.second << ')';}
template<size_t Index = 0, typename... Types>
ostream& printTupleElements(ostream& o, const tuple<Types...>& t) {if constexpr (Index < sizeof...(Types)){if(Index > 0){o << ", ";}o << get<Index>(t);printTupleElements<Index + 1>(o, t);}return o;}
template<typename... Types>
ostream& operator<<(ostream& o, const tuple<Types...>& t){o << "(";printTupleElements(o, t);return o << ")";}
template<class T>
auto operator<<(ostream& o, const T& x) -> decltype(x.end(), o){o << '{';bool first = true;for (const auto& e : x){if (!first){o << ", ";}o << e;first = false;} return o << '}';}
#define DEBUG
#ifdef DEBUG
#define fastio()
#define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'
#define check(x) if (!(x)) { cerr << "Check failed: " << #x << " in line " << __LINE__ << endl; exit(1); }
#else
#define fastio() ios_base::sync_with_stdio(0); cin.tie(0);
#define debug(...)
#define check(x)
#endif
typedef long long ll;
typedef long double ld;
#define pi pair<int, int>
#define pl pair<ll, ll>
#define st first
#define nd second
#define vi vector<int>
#define vll vector<ll>
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
vector<pair<ld, ld> >prz;
int n, k;
ld cntdp(int x) {
vector<ld>dp(k - x + 1, 1e9);
dp[0] = 0;
for(int i = 0; i < sz(prz); i++) {
for(int j = min(i + 1, k - x); j >= 0; j--) {
ld popdp = dp[j];
if(j > 0) {
dp[j] = dp[j - 1] + prz[i].nd / (ld)(x + 1);
}
else {
dp[j] = 1e9;
}
if(0 < (i + 1) - j && (i + 1) - j <= x) {
dp[j] = min(dp[j], popdp + prz[i].st / (ld)((i + 1) - j));
}
else {
dp[j] = min(dp[j], popdp);
}
}
}
return dp[k - x];
}
void solve() {
//ifstream cin("nazwa.in");
//ofstream cout("nazwa.out");
cin >> n >> k;
for(int i = 1; i <= n; i++) {
int a, b;
cin >> a >> b;
if(b == -1) {
b = 1e9;
}
prz.eb(b, a);
}
sort(all(prz));
ld ans = 1e9;
for(int i = 0; i <= k; i++) {
ans = min(ans, cntdp(i));
}
cout.precision(9);
cout << fixed << ans << '\n';
}
int main() {
fastio();
int t;
//cin >> t;
t = 1;
while(t--) {
solve();
}
}
# |
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 |
600 KB |
Output is correct |
5 |
Correct |
6 ms |
464 KB |
Output is correct |
6 |
Correct |
30 ms |
464 KB |
Output is correct |
7 |
Correct |
108 ms |
444 KB |
Output is correct |
8 |
Correct |
227 ms |
440 KB |
Output is correct |
9 |
Correct |
369 ms |
600 KB |
Output is correct |
10 |
Correct |
197 ms |
444 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 |
600 KB |
Output is correct |
5 |
Correct |
6 ms |
464 KB |
Output is correct |
6 |
Correct |
30 ms |
464 KB |
Output is correct |
7 |
Correct |
108 ms |
444 KB |
Output is correct |
8 |
Correct |
227 ms |
440 KB |
Output is correct |
9 |
Correct |
369 ms |
600 KB |
Output is correct |
10 |
Correct |
197 ms |
444 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
42 ms |
460 KB |
Output is correct |
13 |
Correct |
42 ms |
344 KB |
Output is correct |
14 |
Correct |
45 ms |
344 KB |
Output is correct |
15 |
Correct |
196 ms |
344 KB |
Output is correct |
16 |
Correct |
197 ms |
444 KB |
Output is correct |
17 |
Correct |
203 ms |
344 KB |
Output is correct |
18 |
Correct |
363 ms |
444 KB |
Output is correct |
19 |
Correct |
368 ms |
440 KB |
Output is correct |
20 |
Correct |
360 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 |
440 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
432 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 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 |
440 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
432 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 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 |
1 ms |
344 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 |
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 |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
356 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
356 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 |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
352 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
440 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
432 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 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 |
1 ms |
344 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 |
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 |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
356 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
356 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 |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
352 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
356 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
356 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
2 ms |
348 KB |
Output is correct |
48 |
Correct |
2 ms |
348 KB |
Output is correct |
49 |
Correct |
2 ms |
348 KB |
Output is correct |
50 |
Correct |
2 ms |
348 KB |
Output is correct |
51 |
Correct |
3 ms |
348 KB |
Output is correct |
52 |
Correct |
3 ms |
348 KB |
Output is correct |
53 |
Correct |
2 ms |
348 KB |
Output is correct |
54 |
Correct |
2 ms |
348 KB |
Output is correct |
55 |
Correct |
2 ms |
348 KB |
Output is correct |
56 |
Correct |
2 ms |
348 KB |
Output is correct |
57 |
Correct |
2 ms |
348 KB |
Output is correct |
58 |
Correct |
2 ms |
348 KB |
Output is correct |
59 |
Correct |
2 ms |
348 KB |
Output is correct |
60 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
357 ms |
348 KB |
Output is correct |
2 |
Correct |
388 ms |
592 KB |
Output is correct |
3 |
Correct |
358 ms |
348 KB |
Output is correct |
4 |
Correct |
357 ms |
588 KB |
Output is correct |
5 |
Correct |
373 ms |
456 KB |
Output is correct |
6 |
Correct |
378 ms |
452 KB |
Output is correct |
7 |
Correct |
362 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 |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
600 KB |
Output is correct |
5 |
Correct |
6 ms |
464 KB |
Output is correct |
6 |
Correct |
30 ms |
464 KB |
Output is correct |
7 |
Correct |
108 ms |
444 KB |
Output is correct |
8 |
Correct |
227 ms |
440 KB |
Output is correct |
9 |
Correct |
369 ms |
600 KB |
Output is correct |
10 |
Correct |
197 ms |
444 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
42 ms |
460 KB |
Output is correct |
13 |
Correct |
42 ms |
344 KB |
Output is correct |
14 |
Correct |
45 ms |
344 KB |
Output is correct |
15 |
Correct |
196 ms |
344 KB |
Output is correct |
16 |
Correct |
197 ms |
444 KB |
Output is correct |
17 |
Correct |
203 ms |
344 KB |
Output is correct |
18 |
Correct |
363 ms |
444 KB |
Output is correct |
19 |
Correct |
368 ms |
440 KB |
Output is correct |
20 |
Correct |
360 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
440 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
432 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
440 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
344 KB |
Output is correct |
29 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 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 |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 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 |
604 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
356 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
356 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 |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
352 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
352 KB |
Output is correct |
58 |
Correct |
1 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
356 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
356 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
1 ms |
348 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
2 ms |
348 KB |
Output is correct |
68 |
Correct |
2 ms |
348 KB |
Output is correct |
69 |
Correct |
2 ms |
348 KB |
Output is correct |
70 |
Correct |
2 ms |
348 KB |
Output is correct |
71 |
Correct |
3 ms |
348 KB |
Output is correct |
72 |
Correct |
3 ms |
348 KB |
Output is correct |
73 |
Correct |
2 ms |
348 KB |
Output is correct |
74 |
Correct |
2 ms |
348 KB |
Output is correct |
75 |
Correct |
2 ms |
348 KB |
Output is correct |
76 |
Correct |
2 ms |
348 KB |
Output is correct |
77 |
Correct |
2 ms |
348 KB |
Output is correct |
78 |
Correct |
2 ms |
348 KB |
Output is correct |
79 |
Correct |
2 ms |
348 KB |
Output is correct |
80 |
Correct |
2 ms |
348 KB |
Output is correct |
81 |
Correct |
357 ms |
348 KB |
Output is correct |
82 |
Correct |
388 ms |
592 KB |
Output is correct |
83 |
Correct |
358 ms |
348 KB |
Output is correct |
84 |
Correct |
357 ms |
588 KB |
Output is correct |
85 |
Correct |
373 ms |
456 KB |
Output is correct |
86 |
Correct |
378 ms |
452 KB |
Output is correct |
87 |
Correct |
362 ms |
348 KB |
Output is correct |
88 |
Correct |
6 ms |
348 KB |
Output is correct |
89 |
Correct |
6 ms |
348 KB |
Output is correct |
90 |
Correct |
30 ms |
348 KB |
Output is correct |
91 |
Correct |
31 ms |
604 KB |
Output is correct |
92 |
Correct |
108 ms |
440 KB |
Output is correct |
93 |
Correct |
110 ms |
600 KB |
Output is correct |
94 |
Correct |
223 ms |
348 KB |
Output is correct |
95 |
Correct |
237 ms |
596 KB |
Output is correct |
96 |
Correct |
304 ms |
348 KB |
Output is correct |
97 |
Correct |
311 ms |
444 KB |
Output is correct |
98 |
Correct |
197 ms |
444 KB |
Output is correct |
99 |
Correct |
196 ms |
440 KB |
Output is correct |
100 |
Correct |
204 ms |
444 KB |
Output is correct |
101 |
Correct |
197 ms |
348 KB |
Output is correct |
102 |
Correct |
196 ms |
348 KB |
Output is correct |
103 |
Correct |
195 ms |
456 KB |
Output is correct |
104 |
Correct |
195 ms |
448 KB |
Output is correct |
105 |
Correct |
200 ms |
604 KB |
Output is correct |