#include <bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 1e9 + 9;
const ll LOGN = 21;
const ll MAXN = 550;
vector<pair<int,int>> v;
float dp[MAXN][MAXN][MAXN];
int mn[MAXN][MAXN], N, K;
multiset<int> in;
void precalc() {
for (int i = 1; i < MAXN; i++) {
for (int j = 0; j < MAXN; j++)
mn[i][j] = 1000000000;
}
for (int k = 1; k <= K; k++) {
in = multiset<int>();
int sum = 0;
for (int i = N; i >= 1; i--) {
in.insert(v[i].f);
sum += v[i].f;
if (in.size() > k) {
sum -= *prev(in.end());
in.erase(prev(in.end()));
}
mn[k][i] = sum;
}
}
}
int main() {
fast
cin >> N >> K;
v = vector<pair<int,int>>(N);
for (int i = 0; i < N; i++)
cin >> v[i].f >> v[i].s;
sort(v.begin(), v.end(), [&](pair<int,int> a, pair<int,int> b) {
if (a.s == -1 && b.s == -1)
return false;
if (a.s == -1 && b.s != -1)
return false;
if (b.s == -1)
return true;
return (a.s < b.s);
});
reverse(v.begin(), v.end());
v.push_back({-1, -1});
reverse(v.begin(), v.end());
precalc();
for (int i = 0; i < MAXN; i++) {
for (int j = 0; j < MAXN; j++) {
for (int k = 0; k < MAXN; k++)
dp[i][j][k] = 1000000000.0;
}
}
for (int i = 0; i < MAXN; i++)
dp[0][0][i] = 0;
for (int i = 1; i <= N; i++) {
if (v[i].s == -1)
continue;
for (int exp = 1; exp <= K; exp++) {
for (int selected = 0; selected < exp; selected++) {
// A kullan
if (dp[i-1][selected][exp] + 1.0 * v[i].f / (exp + 1) < dp[i][selected][exp])
dp[i][selected][exp] = dp[i-1][selected][exp] + 1.0 * v[i].f / (exp + 1);
// B kullan
if (dp[i-1][selected][exp] + 1.0 * v[i].s / (selected + 1) < dp[i][selected+1][exp])
dp[i][selected+1][exp] = dp[i-1][selected][exp] + 1.0 * v[i].s / (selected + 1);
}
}
}
float ans = 1000000000.0;
for (int i = 0; i <= N; i++) {
for (int exp = 0; exp <= K; exp++) {
if (dp[i][exp][exp] != 1000000000.0) {
int rem_req = K - i;
if (rem_req < 0)
continue;
if (dp[i][exp][exp] + mn[rem_req][i+1] * 1.0 / (exp + 1) < ans)
ans = dp[i][exp][exp] + mn[rem_req][i+1] * 1.0 / (exp + 1);
}
}
}
cout << setprecision(15) << fixed << ans << "\n";
}
Compilation message
Main.cpp: In function 'void precalc()':
Main.cpp:28:18: warning: comparison of integer expressions of different signedness: 'std::multiset<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
28 | if (in.size() > k) {
| ~~~~~~~~~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
189 ms |
652624 KB |
Output is correct |
2 |
Correct |
116 ms |
652628 KB |
Output is correct |
3 |
Correct |
116 ms |
652564 KB |
Output is correct |
4 |
Correct |
116 ms |
652636 KB |
Output is correct |
5 |
Correct |
116 ms |
652628 KB |
Output is correct |
6 |
Correct |
118 ms |
652624 KB |
Output is correct |
7 |
Correct |
128 ms |
652728 KB |
Output is correct |
8 |
Correct |
127 ms |
652612 KB |
Output is correct |
9 |
Correct |
128 ms |
652624 KB |
Output is correct |
10 |
Correct |
126 ms |
652772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
189 ms |
652624 KB |
Output is correct |
2 |
Correct |
116 ms |
652628 KB |
Output is correct |
3 |
Correct |
116 ms |
652564 KB |
Output is correct |
4 |
Correct |
116 ms |
652636 KB |
Output is correct |
5 |
Correct |
116 ms |
652628 KB |
Output is correct |
6 |
Correct |
118 ms |
652624 KB |
Output is correct |
7 |
Correct |
128 ms |
652728 KB |
Output is correct |
8 |
Correct |
127 ms |
652612 KB |
Output is correct |
9 |
Correct |
128 ms |
652624 KB |
Output is correct |
10 |
Correct |
126 ms |
652772 KB |
Output is correct |
11 |
Correct |
120 ms |
652624 KB |
Output is correct |
12 |
Correct |
148 ms |
652672 KB |
Output is correct |
13 |
Correct |
137 ms |
652568 KB |
Output is correct |
14 |
Correct |
131 ms |
652628 KB |
Output is correct |
15 |
Correct |
263 ms |
652864 KB |
Output is correct |
16 |
Correct |
204 ms |
652624 KB |
Output is correct |
17 |
Correct |
159 ms |
652616 KB |
Output is correct |
18 |
Correct |
392 ms |
652824 KB |
Output is correct |
19 |
Correct |
284 ms |
653144 KB |
Output is correct |
20 |
Correct |
171 ms |
652640 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
652628 KB |
Output is correct |
2 |
Correct |
115 ms |
652624 KB |
Output is correct |
3 |
Correct |
122 ms |
652884 KB |
Output is correct |
4 |
Correct |
116 ms |
652632 KB |
Output is correct |
5 |
Correct |
118 ms |
652688 KB |
Output is correct |
6 |
Correct |
123 ms |
652596 KB |
Output is correct |
7 |
Correct |
120 ms |
652692 KB |
Output is correct |
8 |
Correct |
116 ms |
652776 KB |
Output is correct |
9 |
Correct |
122 ms |
652624 KB |
Output is correct |
10 |
Correct |
116 ms |
652532 KB |
Output is correct |
11 |
Correct |
131 ms |
652656 KB |
Output is correct |
12 |
Correct |
117 ms |
652624 KB |
Output is correct |
13 |
Correct |
116 ms |
652624 KB |
Output is correct |
14 |
Correct |
129 ms |
652612 KB |
Output is correct |
15 |
Correct |
119 ms |
652616 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
652628 KB |
Output is correct |
2 |
Correct |
115 ms |
652624 KB |
Output is correct |
3 |
Correct |
122 ms |
652884 KB |
Output is correct |
4 |
Correct |
116 ms |
652632 KB |
Output is correct |
5 |
Correct |
118 ms |
652688 KB |
Output is correct |
6 |
Correct |
123 ms |
652596 KB |
Output is correct |
7 |
Correct |
120 ms |
652692 KB |
Output is correct |
8 |
Correct |
116 ms |
652776 KB |
Output is correct |
9 |
Correct |
122 ms |
652624 KB |
Output is correct |
10 |
Correct |
116 ms |
652532 KB |
Output is correct |
11 |
Correct |
131 ms |
652656 KB |
Output is correct |
12 |
Correct |
117 ms |
652624 KB |
Output is correct |
13 |
Correct |
116 ms |
652624 KB |
Output is correct |
14 |
Correct |
129 ms |
652612 KB |
Output is correct |
15 |
Correct |
119 ms |
652616 KB |
Output is correct |
16 |
Correct |
116 ms |
652624 KB |
Output is correct |
17 |
Correct |
122 ms |
652532 KB |
Output is correct |
18 |
Correct |
122 ms |
652664 KB |
Output is correct |
19 |
Correct |
117 ms |
652628 KB |
Output is correct |
20 |
Correct |
134 ms |
652696 KB |
Output is correct |
21 |
Correct |
118 ms |
652628 KB |
Output is correct |
22 |
Correct |
125 ms |
652624 KB |
Output is correct |
23 |
Correct |
118 ms |
652628 KB |
Output is correct |
24 |
Correct |
116 ms |
652556 KB |
Output is correct |
25 |
Correct |
120 ms |
652580 KB |
Output is correct |
26 |
Correct |
124 ms |
652732 KB |
Output is correct |
27 |
Correct |
116 ms |
652620 KB |
Output is correct |
28 |
Correct |
119 ms |
652764 KB |
Output is correct |
29 |
Correct |
122 ms |
652740 KB |
Output is correct |
30 |
Correct |
116 ms |
652748 KB |
Output is correct |
31 |
Correct |
117 ms |
652536 KB |
Output is correct |
32 |
Correct |
144 ms |
652652 KB |
Output is correct |
33 |
Correct |
115 ms |
652628 KB |
Output is correct |
34 |
Correct |
120 ms |
652600 KB |
Output is correct |
35 |
Correct |
116 ms |
652656 KB |
Output is correct |
36 |
Correct |
116 ms |
652624 KB |
Output is correct |
37 |
Correct |
122 ms |
653108 KB |
Output is correct |
38 |
Correct |
117 ms |
652924 KB |
Output is correct |
39 |
Correct |
116 ms |
652624 KB |
Output is correct |
40 |
Correct |
118 ms |
652588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
652628 KB |
Output is correct |
2 |
Correct |
115 ms |
652624 KB |
Output is correct |
3 |
Correct |
122 ms |
652884 KB |
Output is correct |
4 |
Correct |
116 ms |
652632 KB |
Output is correct |
5 |
Correct |
118 ms |
652688 KB |
Output is correct |
6 |
Correct |
123 ms |
652596 KB |
Output is correct |
7 |
Correct |
120 ms |
652692 KB |
Output is correct |
8 |
Correct |
116 ms |
652776 KB |
Output is correct |
9 |
Correct |
122 ms |
652624 KB |
Output is correct |
10 |
Correct |
116 ms |
652532 KB |
Output is correct |
11 |
Correct |
131 ms |
652656 KB |
Output is correct |
12 |
Correct |
117 ms |
652624 KB |
Output is correct |
13 |
Correct |
116 ms |
652624 KB |
Output is correct |
14 |
Correct |
129 ms |
652612 KB |
Output is correct |
15 |
Correct |
119 ms |
652616 KB |
Output is correct |
16 |
Correct |
116 ms |
652624 KB |
Output is correct |
17 |
Correct |
122 ms |
652532 KB |
Output is correct |
18 |
Correct |
122 ms |
652664 KB |
Output is correct |
19 |
Correct |
117 ms |
652628 KB |
Output is correct |
20 |
Correct |
134 ms |
652696 KB |
Output is correct |
21 |
Correct |
118 ms |
652628 KB |
Output is correct |
22 |
Correct |
125 ms |
652624 KB |
Output is correct |
23 |
Correct |
118 ms |
652628 KB |
Output is correct |
24 |
Correct |
116 ms |
652556 KB |
Output is correct |
25 |
Correct |
120 ms |
652580 KB |
Output is correct |
26 |
Correct |
124 ms |
652732 KB |
Output is correct |
27 |
Correct |
116 ms |
652620 KB |
Output is correct |
28 |
Correct |
119 ms |
652764 KB |
Output is correct |
29 |
Correct |
122 ms |
652740 KB |
Output is correct |
30 |
Correct |
116 ms |
652748 KB |
Output is correct |
31 |
Correct |
117 ms |
652536 KB |
Output is correct |
32 |
Correct |
144 ms |
652652 KB |
Output is correct |
33 |
Correct |
115 ms |
652628 KB |
Output is correct |
34 |
Correct |
120 ms |
652600 KB |
Output is correct |
35 |
Correct |
116 ms |
652656 KB |
Output is correct |
36 |
Correct |
116 ms |
652624 KB |
Output is correct |
37 |
Correct |
122 ms |
653108 KB |
Output is correct |
38 |
Correct |
117 ms |
652924 KB |
Output is correct |
39 |
Correct |
116 ms |
652624 KB |
Output is correct |
40 |
Correct |
118 ms |
652588 KB |
Output is correct |
41 |
Correct |
117 ms |
653112 KB |
Output is correct |
42 |
Correct |
116 ms |
652628 KB |
Output is correct |
43 |
Correct |
120 ms |
652628 KB |
Output is correct |
44 |
Correct |
131 ms |
652648 KB |
Output is correct |
45 |
Correct |
119 ms |
652664 KB |
Output is correct |
46 |
Correct |
117 ms |
652628 KB |
Output is correct |
47 |
Correct |
146 ms |
652624 KB |
Output is correct |
48 |
Correct |
117 ms |
652628 KB |
Output is correct |
49 |
Correct |
142 ms |
652568 KB |
Output is correct |
50 |
Correct |
127 ms |
652628 KB |
Output is correct |
51 |
Correct |
119 ms |
652624 KB |
Output is correct |
52 |
Correct |
122 ms |
652716 KB |
Output is correct |
53 |
Correct |
118 ms |
652656 KB |
Output is correct |
54 |
Correct |
120 ms |
652556 KB |
Output is correct |
55 |
Correct |
117 ms |
652620 KB |
Output is correct |
56 |
Correct |
130 ms |
652720 KB |
Output is correct |
57 |
Correct |
118 ms |
652628 KB |
Output is correct |
58 |
Correct |
117 ms |
652732 KB |
Output is correct |
59 |
Correct |
121 ms |
652884 KB |
Output is correct |
60 |
Correct |
118 ms |
652628 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
398 ms |
652816 KB |
Output is correct |
2 |
Correct |
390 ms |
652624 KB |
Output is correct |
3 |
Correct |
403 ms |
653068 KB |
Output is correct |
4 |
Correct |
398 ms |
652692 KB |
Output is correct |
5 |
Correct |
396 ms |
652816 KB |
Output is correct |
6 |
Correct |
395 ms |
652760 KB |
Output is correct |
7 |
Correct |
400 ms |
652884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
189 ms |
652624 KB |
Output is correct |
2 |
Correct |
116 ms |
652628 KB |
Output is correct |
3 |
Correct |
116 ms |
652564 KB |
Output is correct |
4 |
Correct |
116 ms |
652636 KB |
Output is correct |
5 |
Correct |
116 ms |
652628 KB |
Output is correct |
6 |
Correct |
118 ms |
652624 KB |
Output is correct |
7 |
Correct |
128 ms |
652728 KB |
Output is correct |
8 |
Correct |
127 ms |
652612 KB |
Output is correct |
9 |
Correct |
128 ms |
652624 KB |
Output is correct |
10 |
Correct |
126 ms |
652772 KB |
Output is correct |
11 |
Correct |
120 ms |
652624 KB |
Output is correct |
12 |
Correct |
148 ms |
652672 KB |
Output is correct |
13 |
Correct |
137 ms |
652568 KB |
Output is correct |
14 |
Correct |
131 ms |
652628 KB |
Output is correct |
15 |
Correct |
263 ms |
652864 KB |
Output is correct |
16 |
Correct |
204 ms |
652624 KB |
Output is correct |
17 |
Correct |
159 ms |
652616 KB |
Output is correct |
18 |
Correct |
392 ms |
652824 KB |
Output is correct |
19 |
Correct |
284 ms |
653144 KB |
Output is correct |
20 |
Correct |
171 ms |
652640 KB |
Output is correct |
21 |
Correct |
119 ms |
652628 KB |
Output is correct |
22 |
Correct |
115 ms |
652624 KB |
Output is correct |
23 |
Correct |
122 ms |
652884 KB |
Output is correct |
24 |
Correct |
116 ms |
652632 KB |
Output is correct |
25 |
Correct |
118 ms |
652688 KB |
Output is correct |
26 |
Correct |
123 ms |
652596 KB |
Output is correct |
27 |
Correct |
120 ms |
652692 KB |
Output is correct |
28 |
Correct |
116 ms |
652776 KB |
Output is correct |
29 |
Correct |
122 ms |
652624 KB |
Output is correct |
30 |
Correct |
116 ms |
652532 KB |
Output is correct |
31 |
Correct |
131 ms |
652656 KB |
Output is correct |
32 |
Correct |
117 ms |
652624 KB |
Output is correct |
33 |
Correct |
116 ms |
652624 KB |
Output is correct |
34 |
Correct |
129 ms |
652612 KB |
Output is correct |
35 |
Correct |
119 ms |
652616 KB |
Output is correct |
36 |
Correct |
116 ms |
652624 KB |
Output is correct |
37 |
Correct |
122 ms |
652532 KB |
Output is correct |
38 |
Correct |
122 ms |
652664 KB |
Output is correct |
39 |
Correct |
117 ms |
652628 KB |
Output is correct |
40 |
Correct |
134 ms |
652696 KB |
Output is correct |
41 |
Correct |
118 ms |
652628 KB |
Output is correct |
42 |
Correct |
125 ms |
652624 KB |
Output is correct |
43 |
Correct |
118 ms |
652628 KB |
Output is correct |
44 |
Correct |
116 ms |
652556 KB |
Output is correct |
45 |
Correct |
120 ms |
652580 KB |
Output is correct |
46 |
Correct |
124 ms |
652732 KB |
Output is correct |
47 |
Correct |
116 ms |
652620 KB |
Output is correct |
48 |
Correct |
119 ms |
652764 KB |
Output is correct |
49 |
Correct |
122 ms |
652740 KB |
Output is correct |
50 |
Correct |
116 ms |
652748 KB |
Output is correct |
51 |
Correct |
117 ms |
652536 KB |
Output is correct |
52 |
Correct |
144 ms |
652652 KB |
Output is correct |
53 |
Correct |
115 ms |
652628 KB |
Output is correct |
54 |
Correct |
120 ms |
652600 KB |
Output is correct |
55 |
Correct |
116 ms |
652656 KB |
Output is correct |
56 |
Correct |
116 ms |
652624 KB |
Output is correct |
57 |
Correct |
122 ms |
653108 KB |
Output is correct |
58 |
Correct |
117 ms |
652924 KB |
Output is correct |
59 |
Correct |
116 ms |
652624 KB |
Output is correct |
60 |
Correct |
118 ms |
652588 KB |
Output is correct |
61 |
Correct |
117 ms |
653112 KB |
Output is correct |
62 |
Correct |
116 ms |
652628 KB |
Output is correct |
63 |
Correct |
120 ms |
652628 KB |
Output is correct |
64 |
Correct |
131 ms |
652648 KB |
Output is correct |
65 |
Correct |
119 ms |
652664 KB |
Output is correct |
66 |
Correct |
117 ms |
652628 KB |
Output is correct |
67 |
Correct |
146 ms |
652624 KB |
Output is correct |
68 |
Correct |
117 ms |
652628 KB |
Output is correct |
69 |
Correct |
142 ms |
652568 KB |
Output is correct |
70 |
Correct |
127 ms |
652628 KB |
Output is correct |
71 |
Correct |
119 ms |
652624 KB |
Output is correct |
72 |
Correct |
122 ms |
652716 KB |
Output is correct |
73 |
Correct |
118 ms |
652656 KB |
Output is correct |
74 |
Correct |
120 ms |
652556 KB |
Output is correct |
75 |
Correct |
117 ms |
652620 KB |
Output is correct |
76 |
Correct |
130 ms |
652720 KB |
Output is correct |
77 |
Correct |
118 ms |
652628 KB |
Output is correct |
78 |
Correct |
117 ms |
652732 KB |
Output is correct |
79 |
Correct |
121 ms |
652884 KB |
Output is correct |
80 |
Correct |
118 ms |
652628 KB |
Output is correct |
81 |
Correct |
398 ms |
652816 KB |
Output is correct |
82 |
Correct |
390 ms |
652624 KB |
Output is correct |
83 |
Correct |
403 ms |
653068 KB |
Output is correct |
84 |
Correct |
398 ms |
652692 KB |
Output is correct |
85 |
Correct |
396 ms |
652816 KB |
Output is correct |
86 |
Correct |
395 ms |
652760 KB |
Output is correct |
87 |
Correct |
400 ms |
652884 KB |
Output is correct |
88 |
Correct |
121 ms |
652624 KB |
Output is correct |
89 |
Correct |
120 ms |
652624 KB |
Output is correct |
90 |
Correct |
140 ms |
652820 KB |
Output is correct |
91 |
Correct |
140 ms |
652624 KB |
Output is correct |
92 |
Correct |
200 ms |
652624 KB |
Output is correct |
93 |
Correct |
201 ms |
652764 KB |
Output is correct |
94 |
Correct |
293 ms |
652624 KB |
Output is correct |
95 |
Correct |
284 ms |
652812 KB |
Output is correct |
96 |
Correct |
350 ms |
652820 KB |
Output is correct |
97 |
Correct |
359 ms |
652628 KB |
Output is correct |
98 |
Correct |
274 ms |
652816 KB |
Output is correct |
99 |
Correct |
262 ms |
652816 KB |
Output is correct |
100 |
Correct |
265 ms |
652912 KB |
Output is correct |
101 |
Correct |
266 ms |
652628 KB |
Output is correct |
102 |
Correct |
269 ms |
652820 KB |
Output is correct |
103 |
Correct |
277 ms |
652812 KB |
Output is correct |
104 |
Correct |
267 ms |
652624 KB |
Output is correct |
105 |
Correct |
263 ms |
652880 KB |
Output is correct |