//Sylwia Sapkowska
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;
void __print(int x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef LOCAL
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
#define int long long
typedef pair<int, int> T;
typedef long double ld;
const int oo = 1e18, oo2 = 1e9+7, K = 30;
const int mod = 998244353;
void solve(){
int n, k; cin >> n >> k;
vector<T>tab;
int cnt = 0;
tab.emplace_back(-oo, -oo);
for (int i = 1; i<=n; i++){
int x, y; cin >> x >> y;
if (y == -1) y = oo2;
else cnt++;
tab.emplace_back(x, y);
}
sort(tab.begin(), tab.end(),[](auto x, auto y){return x.second == y.second ? x.first < y.first : x.second < y.second;});
ld ans = oo;
//dp[i][j] - min wynik, gdzie j - (dla ustalonego col) = ile mi glosow brakuje (innych niz col) do k?
for (int col = 0; col <= min(k, cnt); col++){
vector dp(n+2, vector<ld>(n+2, oo));
dp[0][0] = 0;
for (int i = 1; i<=n; i++){
auto [a, b] = tab[i];
for (int j = 0; j <= i; j++){
dp[i][j] = min( (j ? dp[i-1][j-1] + (ld)(a)/(ld)(col+1) : (ld)oo),
(j != i && i-j <= col ? dp[i-1][j] + (ld)(b)/(ld)(i-j) : dp[i-1][j])
);
// debug(i, ck, dp[i][ck]);
}
}
ans = min(ans, dp[n][k-col]);
}
cout << fixed << setprecision(17) << ans << "\n";
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
4180 KB |
Output is correct |
6 |
Correct |
3 ms |
4180 KB |
Output is correct |
7 |
Correct |
3 ms |
4180 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4180 KB |
Output is correct |
10 |
Correct |
3 ms |
4180 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
4180 KB |
Output is correct |
6 |
Correct |
3 ms |
4180 KB |
Output is correct |
7 |
Correct |
3 ms |
4180 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4180 KB |
Output is correct |
10 |
Correct |
3 ms |
4180 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
397 ms |
4524 KB |
Output is correct |
13 |
Correct |
367 ms |
4488 KB |
Output is correct |
14 |
Correct |
235 ms |
4372 KB |
Output is correct |
15 |
Correct |
759 ms |
4472 KB |
Output is correct |
16 |
Correct |
664 ms |
4628 KB |
Output is correct |
17 |
Correct |
226 ms |
4468 KB |
Output is correct |
18 |
Correct |
1142 ms |
4576 KB |
Output is correct |
19 |
Correct |
666 ms |
4600 KB |
Output is correct |
20 |
Correct |
241 ms |
4388 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
216 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
316 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
216 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
316 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
316 KB |
Output is correct |
41 |
Correct |
2 ms |
488 KB |
Output is correct |
42 |
Correct |
2 ms |
488 KB |
Output is correct |
43 |
Correct |
2 ms |
484 KB |
Output is correct |
44 |
Correct |
3 ms |
484 KB |
Output is correct |
45 |
Correct |
4 ms |
484 KB |
Output is correct |
46 |
Correct |
4 ms |
492 KB |
Output is correct |
47 |
Correct |
5 ms |
492 KB |
Output is correct |
48 |
Correct |
5 ms |
484 KB |
Output is correct |
49 |
Correct |
6 ms |
492 KB |
Output is correct |
50 |
Correct |
6 ms |
484 KB |
Output is correct |
51 |
Correct |
7 ms |
492 KB |
Output is correct |
52 |
Correct |
6 ms |
492 KB |
Output is correct |
53 |
Correct |
5 ms |
484 KB |
Output is correct |
54 |
Correct |
5 ms |
476 KB |
Output is correct |
55 |
Correct |
5 ms |
488 KB |
Output is correct |
56 |
Correct |
5 ms |
484 KB |
Output is correct |
57 |
Correct |
5 ms |
484 KB |
Output is correct |
58 |
Correct |
5 ms |
484 KB |
Output is correct |
59 |
Correct |
5 ms |
484 KB |
Output is correct |
60 |
Correct |
5 ms |
484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1173 ms |
4444 KB |
Output is correct |
2 |
Correct |
1129 ms |
4576 KB |
Output is correct |
3 |
Correct |
1118 ms |
4440 KB |
Output is correct |
4 |
Correct |
1115 ms |
4688 KB |
Output is correct |
5 |
Correct |
1124 ms |
4556 KB |
Output is correct |
6 |
Correct |
1155 ms |
4736 KB |
Output is correct |
7 |
Correct |
1137 ms |
4428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
4180 KB |
Output is correct |
6 |
Correct |
3 ms |
4180 KB |
Output is correct |
7 |
Correct |
3 ms |
4180 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4180 KB |
Output is correct |
10 |
Correct |
3 ms |
4180 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
397 ms |
4524 KB |
Output is correct |
13 |
Correct |
367 ms |
4488 KB |
Output is correct |
14 |
Correct |
235 ms |
4372 KB |
Output is correct |
15 |
Correct |
759 ms |
4472 KB |
Output is correct |
16 |
Correct |
664 ms |
4628 KB |
Output is correct |
17 |
Correct |
226 ms |
4468 KB |
Output is correct |
18 |
Correct |
1142 ms |
4576 KB |
Output is correct |
19 |
Correct |
666 ms |
4600 KB |
Output is correct |
20 |
Correct |
241 ms |
4388 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
316 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
216 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
320 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
320 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
316 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
316 KB |
Output is correct |
61 |
Correct |
2 ms |
488 KB |
Output is correct |
62 |
Correct |
2 ms |
488 KB |
Output is correct |
63 |
Correct |
2 ms |
484 KB |
Output is correct |
64 |
Correct |
3 ms |
484 KB |
Output is correct |
65 |
Correct |
4 ms |
484 KB |
Output is correct |
66 |
Correct |
4 ms |
492 KB |
Output is correct |
67 |
Correct |
5 ms |
492 KB |
Output is correct |
68 |
Correct |
5 ms |
484 KB |
Output is correct |
69 |
Correct |
6 ms |
492 KB |
Output is correct |
70 |
Correct |
6 ms |
484 KB |
Output is correct |
71 |
Correct |
7 ms |
492 KB |
Output is correct |
72 |
Correct |
6 ms |
492 KB |
Output is correct |
73 |
Correct |
5 ms |
484 KB |
Output is correct |
74 |
Correct |
5 ms |
476 KB |
Output is correct |
75 |
Correct |
5 ms |
488 KB |
Output is correct |
76 |
Correct |
5 ms |
484 KB |
Output is correct |
77 |
Correct |
5 ms |
484 KB |
Output is correct |
78 |
Correct |
5 ms |
484 KB |
Output is correct |
79 |
Correct |
5 ms |
484 KB |
Output is correct |
80 |
Correct |
5 ms |
484 KB |
Output is correct |
81 |
Correct |
1173 ms |
4444 KB |
Output is correct |
82 |
Correct |
1129 ms |
4576 KB |
Output is correct |
83 |
Correct |
1118 ms |
4440 KB |
Output is correct |
84 |
Correct |
1115 ms |
4688 KB |
Output is correct |
85 |
Correct |
1124 ms |
4556 KB |
Output is correct |
86 |
Correct |
1155 ms |
4736 KB |
Output is correct |
87 |
Correct |
1137 ms |
4428 KB |
Output is correct |
88 |
Correct |
114 ms |
4460 KB |
Output is correct |
89 |
Correct |
133 ms |
4404 KB |
Output is correct |
90 |
Correct |
278 ms |
4496 KB |
Output is correct |
91 |
Correct |
287 ms |
4412 KB |
Output is correct |
92 |
Correct |
576 ms |
4564 KB |
Output is correct |
93 |
Correct |
561 ms |
4592 KB |
Output is correct |
94 |
Correct |
808 ms |
4420 KB |
Output is correct |
95 |
Correct |
808 ms |
4476 KB |
Output is correct |
96 |
Correct |
1016 ms |
4564 KB |
Output is correct |
97 |
Correct |
1000 ms |
4540 KB |
Output is correct |
98 |
Correct |
861 ms |
4596 KB |
Output is correct |
99 |
Correct |
758 ms |
4636 KB |
Output is correct |
100 |
Correct |
830 ms |
4676 KB |
Output is correct |
101 |
Correct |
902 ms |
4684 KB |
Output is correct |
102 |
Correct |
824 ms |
4520 KB |
Output is correct |
103 |
Correct |
778 ms |
4536 KB |
Output is correct |
104 |
Correct |
769 ms |
4504 KB |
Output is correct |
105 |
Correct |
869 ms |
4628 KB |
Output is correct |