#ifdef local
#define _GLIBCXX_DEBUG 1
#endif
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
#define double long double
using pii = pair<int, int>;
template <typename T>
using Prior = std::priority_queue<T>;
template <typename T>
using prior = std::priority_queue<T, vector<T>, greater<T>>;
#define X first
#define Y second
#define ee emplace
#define eb emplace_back
#define ef push_front
#define pb pop_back
#define pf pop_front
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define SZ(x) ((int)(x).size())
#ifdef local
#define fastIO() void()
#define debug(...) \
cerr << "\u001b[33m" << "At func " << __FUNCTION__ << ", line " << __LINE__ << ": ",\
cerr << "(" << #__VA_ARGS__ << ") = ",\
_do(__VA_ARGS__),\
cerr << "\u001b[0m"
template <typename T> void _do(T &&_t) {cerr << _t << "\n";}
template <typename T, typename ...U> void _do(T &&_t, U &&..._u) {cerr << _t << ", ", _do(_u...);}
#else
#define fastIO() ios_base::sync_with_stdio(0), cin.tie(0)
#define debug(...) void()
#endif
template <typename T, typename U> bool chmin(T &lhs, U rhs) {return lhs > rhs ? lhs = rhs, 1 : 0;}
template <typename T, typename U> bool chmax(T &lhs, U rhs) {return lhs < rhs ? lhs = rhs, 1 : 0;}
const double INF = 1e18;
void solve() {
int N, K; cin >> N >> K;
vector<pii> AB(N);
for (auto &[A, B] : AB) cin >> A >> B, B = B == -1 ? (int)INF : B;
sort(ALL(AB), [](pii &a, pii &b) {return a.Y < b.Y;});
// for (auto &[A, B] : AB) debug(A, B);
vector<vector<int>> suf_min_k(N+1, vector<int>(N+1, 0));
for (int i = N-1; i >= 0; --i) {
vector<pii> tmp(i + ALL(AB));
sort(ALL(tmp));
for (int j = 0; j < SZ(tmp); ++j) suf_min_k[i][j+1] = tmp[j].X;
partial_sum(ALL(suf_min_k[i]), begin(suf_min_k[i]));
}
double min_time = suf_min_k[0][K]; /// goal = 0
for (int goal = 1; goal <= K; ++goal) {
vector<vector<double>> dp(N, vector<double>(goal+1, INF));
dp[0][0] = (double)AB[0].X / (goal+1), dp[0][1] = AB[0].Y;
for (int i = 1; i < N; ++i) {
for (int j = goal; j >= 0; --j) {
chmin(dp[i][j], dp[i-1][j] + (double)AB[i].X / (goal+1));
if (j) chmin(dp[i][j], dp[i-1][j-1] + (double)AB[i].Y / j);
}
}
for (int i = goal; i <= K; ++i) {
chmin(min_time, dp[i-1][goal] + (double)suf_min_k[i][K-i] / (goal+1));
}
}
cout << fixed << setprecision(12) << min_time << "\n";
}
int32_t main() {
fastIO();
int t = 1; // cin >> t;
for (int _ = 1; _ <= t; ++_) {
solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
13 ms |
2780 KB |
Output is correct |
6 |
Correct |
57 ms |
3488 KB |
Output is correct |
7 |
Correct |
256 ms |
4520 KB |
Output is correct |
8 |
Correct |
496 ms |
5516 KB |
Output is correct |
9 |
Correct |
760 ms |
6516 KB |
Output is correct |
10 |
Correct |
370 ms |
5312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
13 ms |
2780 KB |
Output is correct |
6 |
Correct |
57 ms |
3488 KB |
Output is correct |
7 |
Correct |
256 ms |
4520 KB |
Output is correct |
8 |
Correct |
496 ms |
5516 KB |
Output is correct |
9 |
Correct |
760 ms |
6516 KB |
Output is correct |
10 |
Correct |
370 ms |
5312 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
77 ms |
3772 KB |
Output is correct |
13 |
Correct |
71 ms |
3804 KB |
Output is correct |
14 |
Correct |
76 ms |
3900 KB |
Output is correct |
15 |
Correct |
478 ms |
5284 KB |
Output is correct |
16 |
Correct |
457 ms |
5304 KB |
Output is correct |
17 |
Correct |
418 ms |
5280 KB |
Output is correct |
18 |
Correct |
950 ms |
6472 KB |
Output is correct |
19 |
Correct |
870 ms |
6500 KB |
Output is correct |
20 |
Correct |
1012 ms |
6504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
216 KB |
Output is correct |
2 |
Correct |
1 ms |
216 KB |
Output is correct |
3 |
Correct |
1 ms |
216 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
216 KB |
Output is correct |
13 |
Correct |
1 ms |
216 KB |
Output is correct |
14 |
Correct |
1 ms |
216 KB |
Output is correct |
15 |
Correct |
1 ms |
216 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
216 KB |
Output is correct |
2 |
Correct |
1 ms |
216 KB |
Output is correct |
3 |
Correct |
1 ms |
216 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
216 KB |
Output is correct |
13 |
Correct |
1 ms |
216 KB |
Output is correct |
14 |
Correct |
1 ms |
216 KB |
Output is correct |
15 |
Correct |
1 ms |
216 KB |
Output is correct |
16 |
Correct |
1 ms |
216 KB |
Output is correct |
17 |
Correct |
1 ms |
216 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
216 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
216 KB |
Output is correct |
2 |
Correct |
1 ms |
216 KB |
Output is correct |
3 |
Correct |
1 ms |
216 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
216 KB |
Output is correct |
13 |
Correct |
1 ms |
216 KB |
Output is correct |
14 |
Correct |
1 ms |
216 KB |
Output is correct |
15 |
Correct |
1 ms |
216 KB |
Output is correct |
16 |
Correct |
1 ms |
216 KB |
Output is correct |
17 |
Correct |
1 ms |
216 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
216 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
460 KB |
Output is correct |
42 |
Correct |
2 ms |
460 KB |
Output is correct |
43 |
Correct |
2 ms |
460 KB |
Output is correct |
44 |
Correct |
1 ms |
460 KB |
Output is correct |
45 |
Correct |
2 ms |
588 KB |
Output is correct |
46 |
Correct |
2 ms |
588 KB |
Output is correct |
47 |
Correct |
5 ms |
716 KB |
Output is correct |
48 |
Correct |
3 ms |
716 KB |
Output is correct |
49 |
Correct |
8 ms |
716 KB |
Output is correct |
50 |
Correct |
5 ms |
716 KB |
Output is correct |
51 |
Correct |
5 ms |
760 KB |
Output is correct |
52 |
Correct |
6 ms |
760 KB |
Output is correct |
53 |
Correct |
5 ms |
684 KB |
Output is correct |
54 |
Correct |
5 ms |
716 KB |
Output is correct |
55 |
Correct |
4 ms |
704 KB |
Output is correct |
56 |
Correct |
3 ms |
716 KB |
Output is correct |
57 |
Correct |
5 ms |
716 KB |
Output is correct |
58 |
Correct |
3 ms |
716 KB |
Output is correct |
59 |
Correct |
3 ms |
716 KB |
Output is correct |
60 |
Correct |
3 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
875 ms |
6532 KB |
Output is correct |
2 |
Correct |
813 ms |
6532 KB |
Output is correct |
3 |
Correct |
826 ms |
6588 KB |
Output is correct |
4 |
Correct |
819 ms |
6564 KB |
Output is correct |
5 |
Correct |
895 ms |
6496 KB |
Output is correct |
6 |
Correct |
983 ms |
6504 KB |
Output is correct |
7 |
Correct |
971 ms |
6484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
13 ms |
2780 KB |
Output is correct |
6 |
Correct |
57 ms |
3488 KB |
Output is correct |
7 |
Correct |
256 ms |
4520 KB |
Output is correct |
8 |
Correct |
496 ms |
5516 KB |
Output is correct |
9 |
Correct |
760 ms |
6516 KB |
Output is correct |
10 |
Correct |
370 ms |
5312 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
77 ms |
3772 KB |
Output is correct |
13 |
Correct |
71 ms |
3804 KB |
Output is correct |
14 |
Correct |
76 ms |
3900 KB |
Output is correct |
15 |
Correct |
478 ms |
5284 KB |
Output is correct |
16 |
Correct |
457 ms |
5304 KB |
Output is correct |
17 |
Correct |
418 ms |
5280 KB |
Output is correct |
18 |
Correct |
950 ms |
6472 KB |
Output is correct |
19 |
Correct |
870 ms |
6500 KB |
Output is correct |
20 |
Correct |
1012 ms |
6504 KB |
Output is correct |
21 |
Correct |
1 ms |
216 KB |
Output is correct |
22 |
Correct |
1 ms |
216 KB |
Output is correct |
23 |
Correct |
1 ms |
216 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
216 KB |
Output is correct |
33 |
Correct |
1 ms |
216 KB |
Output is correct |
34 |
Correct |
1 ms |
216 KB |
Output is correct |
35 |
Correct |
1 ms |
216 KB |
Output is correct |
36 |
Correct |
1 ms |
216 KB |
Output is correct |
37 |
Correct |
1 ms |
216 KB |
Output is correct |
38 |
Correct |
1 ms |
344 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
0 ms |
344 KB |
Output is correct |
41 |
Correct |
1 ms |
344 KB |
Output is correct |
42 |
Correct |
1 ms |
344 KB |
Output is correct |
43 |
Correct |
1 ms |
344 KB |
Output is correct |
44 |
Correct |
1 ms |
216 KB |
Output is correct |
45 |
Correct |
1 ms |
344 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
204 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
204 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
204 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
460 KB |
Output is correct |
62 |
Correct |
2 ms |
460 KB |
Output is correct |
63 |
Correct |
2 ms |
460 KB |
Output is correct |
64 |
Correct |
1 ms |
460 KB |
Output is correct |
65 |
Correct |
2 ms |
588 KB |
Output is correct |
66 |
Correct |
2 ms |
588 KB |
Output is correct |
67 |
Correct |
5 ms |
716 KB |
Output is correct |
68 |
Correct |
3 ms |
716 KB |
Output is correct |
69 |
Correct |
8 ms |
716 KB |
Output is correct |
70 |
Correct |
5 ms |
716 KB |
Output is correct |
71 |
Correct |
5 ms |
760 KB |
Output is correct |
72 |
Correct |
6 ms |
760 KB |
Output is correct |
73 |
Correct |
5 ms |
684 KB |
Output is correct |
74 |
Correct |
5 ms |
716 KB |
Output is correct |
75 |
Correct |
4 ms |
704 KB |
Output is correct |
76 |
Correct |
3 ms |
716 KB |
Output is correct |
77 |
Correct |
5 ms |
716 KB |
Output is correct |
78 |
Correct |
3 ms |
716 KB |
Output is correct |
79 |
Correct |
3 ms |
716 KB |
Output is correct |
80 |
Correct |
3 ms |
716 KB |
Output is correct |
81 |
Correct |
875 ms |
6532 KB |
Output is correct |
82 |
Correct |
813 ms |
6532 KB |
Output is correct |
83 |
Correct |
826 ms |
6588 KB |
Output is correct |
84 |
Correct |
819 ms |
6564 KB |
Output is correct |
85 |
Correct |
895 ms |
6496 KB |
Output is correct |
86 |
Correct |
983 ms |
6504 KB |
Output is correct |
87 |
Correct |
971 ms |
6484 KB |
Output is correct |
88 |
Correct |
22 ms |
2820 KB |
Output is correct |
89 |
Correct |
16 ms |
2832 KB |
Output is correct |
90 |
Correct |
84 ms |
3476 KB |
Output is correct |
91 |
Correct |
78 ms |
3612 KB |
Output is correct |
92 |
Correct |
205 ms |
4544 KB |
Output is correct |
93 |
Correct |
341 ms |
4696 KB |
Output is correct |
94 |
Correct |
478 ms |
5472 KB |
Output is correct |
95 |
Correct |
447 ms |
5516 KB |
Output is correct |
96 |
Correct |
695 ms |
6120 KB |
Output is correct |
97 |
Correct |
652 ms |
6108 KB |
Output is correct |
98 |
Correct |
396 ms |
5300 KB |
Output is correct |
99 |
Correct |
372 ms |
5292 KB |
Output is correct |
100 |
Correct |
432 ms |
5396 KB |
Output is correct |
101 |
Correct |
472 ms |
5360 KB |
Output is correct |
102 |
Correct |
374 ms |
5380 KB |
Output is correct |
103 |
Correct |
352 ms |
5408 KB |
Output is correct |
104 |
Correct |
384 ms |
5280 KB |
Output is correct |
105 |
Correct |
366 ms |
5296 KB |
Output is correct |