#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
constexpr int maxn = 501, inf = 1e9 + 7;
constexpr double eps = 1e-4;
double dp[maxn][maxn][maxn];
double ans_vl[maxn];
double get_ans(int n, int k, vector<double> &a, vector<pair<double, int>> &s_b, int cnt_all) {
if (ans_vl[cnt_all] >= 0.5) {
return ans_vl[cnt_all];
}
for (int i = 0; i <= n; ++i) {
for (int cnt_nw = 0; cnt_nw <= i && cnt_nw <= cnt_all; ++cnt_nw) {
for (int cnt_used = 0; cnt_used <= k; ++cnt_used) {
dp[i][cnt_nw][cnt_used] = inf;
}
}
}
dp[0][0][0] = 0;
double ans = inf;
for (int i = 0; i < n; ++i) {
for (int cnt_nw = 0; cnt_nw <= i && cnt_nw <= cnt_all; ++cnt_nw) {
for (int cnt_used = cnt_nw; cnt_used < k; ++cnt_used) {
if (s_b[i].first < 10000 && cnt_nw < cnt_all) {
dp[i + 1][cnt_nw + 1][cnt_used + 1] = min(dp[i + 1][cnt_nw + 1][cnt_used + 1], dp[i][cnt_nw][cnt_used] + s_b[i].first / (cnt_nw + 1));
if (cnt_used + 1 == k && cnt_nw + 1 == cnt_all) {
ans = min(ans, dp[i + 1][cnt_nw + 1][cnt_used + 1]);
}
}
dp[i + 1][cnt_nw][cnt_used + 1] = min(dp[i + 1][cnt_nw][cnt_used + 1], dp[i][cnt_nw][cnt_used] + a[s_b[i].second] / (cnt_all + 1));
if (cnt_used + 1 == k && cnt_nw == cnt_all) {
ans = min(ans, dp[i + 1][cnt_nw][cnt_used + 1]);
}
dp[i + 1][cnt_nw][cnt_used] = min(dp[i + 1][cnt_nw][cnt_used], dp[i][cnt_nw][cnt_used]);
}
}
}
ans_vl[cnt_all] = ans;
return ans;
}
void solve() {
int n, k;
cin >> n >> k;
vector<double> a(n), b(n);
vector<pair<double, int>> s_b;
for (int i = 0; i < n; ++i) {
cin >> a[i] >> b[i];
if (b[i] > 0) {
s_b.emplace_back(b[i], i);
} else {
s_b.emplace_back(inf, i);
}
}
sort(s_b.begin(), s_b.end());
double ans = get_ans(n, k, a, s_b, 0);
double vl = 0;
int p_prv = 0;
int l = 0, r = k;
while (l < r - 1) {
int m1, m2;
double ans1, ans2;
if (l == 0 && r == k) {
int aa = l + (r - l) / 2.618;
int bb = l + (r - l) - (aa - l);
ans1 = get_ans(n, k, a, s_b, aa);
ans2 = get_ans(n, k, a, s_b, bb);
m1 = aa, m2 = bb;
} else {
int aa = l + (r - l) / 2.618;
int bb = l + (r - l) - (aa - l);
if (abs(aa - p_prv) < abs(bb - p_prv)) {
aa = p_prv;
ans1 = vl;
ans2 = get_ans(n, k, a, s_b, bb);
} else {
bb = p_prv;
ans2 = vl;
ans1 = get_ans(n, k, a, s_b, aa);
}
m1 = aa, m2 = bb;
}
if (m1 == l || m2 == l || m1 == r || m2 == r) {
break;
}
ans = min(ans, min(ans1, ans2));
if (ans1 >= ans2) {
l = m1;
vl = ans2;
p_prv = m2;
} else {
r = m2;
vl = ans1;
p_prv = m1;
}
}
for (int i = l + 1; i < r; ++i) {
ans = min(ans, get_ans(n, k, a, s_b, i));
}
cout << ans << '\n';
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.precision(25);
cout << fixed;
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6744 KB |
Output is correct |
4 |
Correct |
1 ms |
8656 KB |
Output is correct |
5 |
Correct |
116 ms |
655208 KB |
Output is correct |
6 |
Correct |
319 ms |
708432 KB |
Output is correct |
7 |
Correct |
870 ms |
800232 KB |
Output is correct |
8 |
Correct |
1402 ms |
887248 KB |
Output is correct |
9 |
Correct |
1761 ms |
918788 KB |
Output is correct |
10 |
Correct |
1295 ms |
873588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6744 KB |
Output is correct |
4 |
Correct |
1 ms |
8656 KB |
Output is correct |
5 |
Correct |
116 ms |
655208 KB |
Output is correct |
6 |
Correct |
319 ms |
708432 KB |
Output is correct |
7 |
Correct |
870 ms |
800232 KB |
Output is correct |
8 |
Correct |
1402 ms |
887248 KB |
Output is correct |
9 |
Correct |
1761 ms |
918788 KB |
Output is correct |
10 |
Correct |
1295 ms |
873588 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
523 ms |
729840 KB |
Output is correct |
13 |
Correct |
373 ms |
705020 KB |
Output is correct |
14 |
Correct |
255 ms |
692532 KB |
Output is correct |
15 |
Correct |
1711 ms |
873112 KB |
Output is correct |
16 |
Correct |
1461 ms |
817180 KB |
Output is correct |
17 |
Incorrect |
1413 ms |
873552 KB |
Output isn't correct |
18 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14684 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
2 ms |
14680 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14684 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
2 ms |
14680 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14684 KB |
Output is correct |
16 |
Correct |
5 ms |
41304 KB |
Output is correct |
17 |
Correct |
5 ms |
41308 KB |
Output is correct |
18 |
Correct |
5 ms |
41308 KB |
Output is correct |
19 |
Correct |
5 ms |
41308 KB |
Output is correct |
20 |
Correct |
5 ms |
41308 KB |
Output is correct |
21 |
Correct |
4 ms |
41436 KB |
Output is correct |
22 |
Correct |
4 ms |
41304 KB |
Output is correct |
23 |
Correct |
5 ms |
41308 KB |
Output is correct |
24 |
Correct |
5 ms |
41304 KB |
Output is correct |
25 |
Correct |
5 ms |
41308 KB |
Output is correct |
26 |
Correct |
5 ms |
41308 KB |
Output is correct |
27 |
Correct |
4 ms |
41304 KB |
Output is correct |
28 |
Correct |
4 ms |
41308 KB |
Output is correct |
29 |
Correct |
5 ms |
41304 KB |
Output is correct |
30 |
Correct |
5 ms |
41308 KB |
Output is correct |
31 |
Correct |
5 ms |
41308 KB |
Output is correct |
32 |
Correct |
5 ms |
41448 KB |
Output is correct |
33 |
Correct |
5 ms |
41308 KB |
Output is correct |
34 |
Correct |
4 ms |
41500 KB |
Output is correct |
35 |
Correct |
5 ms |
41436 KB |
Output is correct |
36 |
Correct |
4 ms |
41440 KB |
Output is correct |
37 |
Correct |
4 ms |
41308 KB |
Output is correct |
38 |
Correct |
5 ms |
41308 KB |
Output is correct |
39 |
Correct |
5 ms |
41428 KB |
Output is correct |
40 |
Correct |
5 ms |
41308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14684 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
2 ms |
14680 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14684 KB |
Output is correct |
16 |
Correct |
5 ms |
41304 KB |
Output is correct |
17 |
Correct |
5 ms |
41308 KB |
Output is correct |
18 |
Correct |
5 ms |
41308 KB |
Output is correct |
19 |
Correct |
5 ms |
41308 KB |
Output is correct |
20 |
Correct |
5 ms |
41308 KB |
Output is correct |
21 |
Correct |
4 ms |
41436 KB |
Output is correct |
22 |
Correct |
4 ms |
41304 KB |
Output is correct |
23 |
Correct |
5 ms |
41308 KB |
Output is correct |
24 |
Correct |
5 ms |
41304 KB |
Output is correct |
25 |
Correct |
5 ms |
41308 KB |
Output is correct |
26 |
Correct |
5 ms |
41308 KB |
Output is correct |
27 |
Correct |
4 ms |
41304 KB |
Output is correct |
28 |
Correct |
4 ms |
41308 KB |
Output is correct |
29 |
Correct |
5 ms |
41304 KB |
Output is correct |
30 |
Correct |
5 ms |
41308 KB |
Output is correct |
31 |
Correct |
5 ms |
41308 KB |
Output is correct |
32 |
Correct |
5 ms |
41448 KB |
Output is correct |
33 |
Correct |
5 ms |
41308 KB |
Output is correct |
34 |
Correct |
4 ms |
41500 KB |
Output is correct |
35 |
Correct |
5 ms |
41436 KB |
Output is correct |
36 |
Correct |
4 ms |
41440 KB |
Output is correct |
37 |
Correct |
4 ms |
41308 KB |
Output is correct |
38 |
Correct |
5 ms |
41308 KB |
Output is correct |
39 |
Correct |
5 ms |
41428 KB |
Output is correct |
40 |
Correct |
5 ms |
41308 KB |
Output is correct |
41 |
Correct |
21 ms |
197424 KB |
Output is correct |
42 |
Correct |
20 ms |
197204 KB |
Output is correct |
43 |
Correct |
21 ms |
197424 KB |
Output is correct |
44 |
Correct |
22 ms |
197356 KB |
Output is correct |
45 |
Correct |
23 ms |
197468 KB |
Output is correct |
46 |
Correct |
22 ms |
197468 KB |
Output is correct |
47 |
Correct |
26 ms |
197468 KB |
Output is correct |
48 |
Correct |
24 ms |
197212 KB |
Output is correct |
49 |
Correct |
35 ms |
197208 KB |
Output is correct |
50 |
Correct |
27 ms |
197440 KB |
Output is correct |
51 |
Correct |
32 ms |
197456 KB |
Output is correct |
52 |
Correct |
34 ms |
197212 KB |
Output is correct |
53 |
Correct |
23 ms |
197476 KB |
Output is correct |
54 |
Correct |
24 ms |
197212 KB |
Output is correct |
55 |
Correct |
29 ms |
197352 KB |
Output is correct |
56 |
Correct |
23 ms |
197468 KB |
Output is correct |
57 |
Correct |
25 ms |
197204 KB |
Output is correct |
58 |
Correct |
27 ms |
197400 KB |
Output is correct |
59 |
Correct |
30 ms |
197212 KB |
Output is correct |
60 |
Correct |
25 ms |
197212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2383 ms |
892752 KB |
Output is correct |
2 |
Correct |
2317 ms |
892244 KB |
Output is correct |
3 |
Execution timed out |
2540 ms |
909168 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6744 KB |
Output is correct |
4 |
Correct |
1 ms |
8656 KB |
Output is correct |
5 |
Correct |
116 ms |
655208 KB |
Output is correct |
6 |
Correct |
319 ms |
708432 KB |
Output is correct |
7 |
Correct |
870 ms |
800232 KB |
Output is correct |
8 |
Correct |
1402 ms |
887248 KB |
Output is correct |
9 |
Correct |
1761 ms |
918788 KB |
Output is correct |
10 |
Correct |
1295 ms |
873588 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
523 ms |
729840 KB |
Output is correct |
13 |
Correct |
373 ms |
705020 KB |
Output is correct |
14 |
Correct |
255 ms |
692532 KB |
Output is correct |
15 |
Correct |
1711 ms |
873112 KB |
Output is correct |
16 |
Correct |
1461 ms |
817180 KB |
Output is correct |
17 |
Incorrect |
1413 ms |
873552 KB |
Output isn't correct |
18 |
Halted |
0 ms |
0 KB |
- |