#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define pb push_back
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define int long long
#define double long double
const int N = 1e6+5, inf = 1e9, mod = 1e9+7;
template <class F, class _S>
bool chmin(F &u, const _S &v){
bool flag = false;
if ( u > v ){
u = v; flag |= true;
}
return flag;
}
template <class F, class _S>
bool chmax(F &u, const _S &v){
bool flag = false;
if ( u < v ){
u = v; flag |= true;
}
return flag;
}
double dp[505][505];
void solve(){
int n, k;cin >> n >> k;
vector<pair<int,int> > v;
for(int i = 0; i < n; i++){
int a, b;
cin >> a >> b;
if(b == -1)b = inf;
v.pb({b, a});
}
sort(all(v));
vector<int> a(n+1), b(n+1);
for(int i = 1; i <= n; i++){
b[i] = v[i-1].ff;
a[i] = v[i-1].ss;
}
vector<int> _a;
for(int i = 1; i <= n; i++)_a.pb(a[i]);
sort(all(_a));
double ans = 0;
for(int i = 0; i < k; i++)ans+=_a[i];
for(int m = 1; m <= k; m++){
for(int i = 0; i <= n; i++)
for(int j = 0; j <= n; j++)dp[i][j] = inf;
dp[0][0] = 0;
for(int i = 1; i <= k; i++){
for(int j = 0; j <= min(i, m); j++){
if(j && b[i] < inf)chmin(dp[i][j], dp[i-1][j-1] + (double)b[i]/(double)(j));
chmin(dp[i][j], dp[i-1][j] + (double)a[i]/(double)(m+1));
if(j==m){
vector<int> v;
for(int q = i+1;q <= n; q++)v.pb(a[q]);
sort(all(v));
int sum = 0;
for(int q = 0; q < k-i; q++)sum += v[q];
chmin(ans, dp[i][j] + (double)sum / (double)(m+1));
}
}
}
}
cout << fixed << setprecision(15) << ans << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int tt = 1;
//cin >> tt;
while(tt--){
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
508 KB |
Output is correct |
5 |
Correct |
76 ms |
4440 KB |
Output is correct |
6 |
Correct |
235 ms |
4440 KB |
Output is correct |
7 |
Correct |
536 ms |
4440 KB |
Output is correct |
8 |
Correct |
812 ms |
4440 KB |
Output is correct |
9 |
Correct |
1192 ms |
4440 KB |
Output is correct |
10 |
Correct |
704 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
508 KB |
Output is correct |
5 |
Correct |
76 ms |
4440 KB |
Output is correct |
6 |
Correct |
235 ms |
4440 KB |
Output is correct |
7 |
Correct |
536 ms |
4440 KB |
Output is correct |
8 |
Correct |
812 ms |
4440 KB |
Output is correct |
9 |
Correct |
1192 ms |
4440 KB |
Output is correct |
10 |
Correct |
704 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
260 ms |
4424 KB |
Output is correct |
13 |
Correct |
297 ms |
4444 KB |
Output is correct |
14 |
Correct |
283 ms |
4444 KB |
Output is correct |
15 |
Correct |
811 ms |
4444 KB |
Output is correct |
16 |
Correct |
961 ms |
4444 KB |
Output is correct |
17 |
Correct |
779 ms |
4444 KB |
Output is correct |
18 |
Correct |
1457 ms |
4444 KB |
Output is correct |
19 |
Correct |
1404 ms |
4444 KB |
Output is correct |
20 |
Correct |
1201 ms |
4432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 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 |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
464 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
464 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 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 |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
464 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
464 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
2 ms |
2392 KB |
Output is correct |
42 |
Correct |
2 ms |
972 KB |
Output is correct |
43 |
Correct |
4 ms |
2508 KB |
Output is correct |
44 |
Correct |
3 ms |
2396 KB |
Output is correct |
45 |
Correct |
6 ms |
900 KB |
Output is correct |
46 |
Correct |
6 ms |
2396 KB |
Output is correct |
47 |
Correct |
7 ms |
2396 KB |
Output is correct |
48 |
Correct |
8 ms |
2652 KB |
Output is correct |
49 |
Correct |
9 ms |
856 KB |
Output is correct |
50 |
Correct |
11 ms |
2396 KB |
Output is correct |
51 |
Correct |
12 ms |
1040 KB |
Output is correct |
52 |
Correct |
16 ms |
2396 KB |
Output is correct |
53 |
Correct |
7 ms |
2396 KB |
Output is correct |
54 |
Correct |
7 ms |
2392 KB |
Output is correct |
55 |
Correct |
9 ms |
2396 KB |
Output is correct |
56 |
Correct |
7 ms |
860 KB |
Output is correct |
57 |
Correct |
8 ms |
2644 KB |
Output is correct |
58 |
Correct |
6 ms |
860 KB |
Output is correct |
59 |
Correct |
7 ms |
2648 KB |
Output is correct |
60 |
Correct |
7 ms |
2644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1880 ms |
4440 KB |
Output is correct |
2 |
Correct |
1728 ms |
4444 KB |
Output is correct |
3 |
Correct |
1876 ms |
4252 KB |
Output is correct |
4 |
Correct |
1881 ms |
4444 KB |
Output is correct |
5 |
Correct |
1848 ms |
4444 KB |
Output is correct |
6 |
Correct |
1855 ms |
4444 KB |
Output is correct |
7 |
Correct |
1716 ms |
4424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
508 KB |
Output is correct |
5 |
Correct |
76 ms |
4440 KB |
Output is correct |
6 |
Correct |
235 ms |
4440 KB |
Output is correct |
7 |
Correct |
536 ms |
4440 KB |
Output is correct |
8 |
Correct |
812 ms |
4440 KB |
Output is correct |
9 |
Correct |
1192 ms |
4440 KB |
Output is correct |
10 |
Correct |
704 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
260 ms |
4424 KB |
Output is correct |
13 |
Correct |
297 ms |
4444 KB |
Output is correct |
14 |
Correct |
283 ms |
4444 KB |
Output is correct |
15 |
Correct |
811 ms |
4444 KB |
Output is correct |
16 |
Correct |
961 ms |
4444 KB |
Output is correct |
17 |
Correct |
779 ms |
4444 KB |
Output is correct |
18 |
Correct |
1457 ms |
4444 KB |
Output is correct |
19 |
Correct |
1404 ms |
4444 KB |
Output is correct |
20 |
Correct |
1201 ms |
4432 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
344 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
344 KB |
Output is correct |
44 |
Correct |
1 ms |
344 KB |
Output is correct |
45 |
Correct |
1 ms |
464 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
464 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
2 ms |
2392 KB |
Output is correct |
62 |
Correct |
2 ms |
972 KB |
Output is correct |
63 |
Correct |
4 ms |
2508 KB |
Output is correct |
64 |
Correct |
3 ms |
2396 KB |
Output is correct |
65 |
Correct |
6 ms |
900 KB |
Output is correct |
66 |
Correct |
6 ms |
2396 KB |
Output is correct |
67 |
Correct |
7 ms |
2396 KB |
Output is correct |
68 |
Correct |
8 ms |
2652 KB |
Output is correct |
69 |
Correct |
9 ms |
856 KB |
Output is correct |
70 |
Correct |
11 ms |
2396 KB |
Output is correct |
71 |
Correct |
12 ms |
1040 KB |
Output is correct |
72 |
Correct |
16 ms |
2396 KB |
Output is correct |
73 |
Correct |
7 ms |
2396 KB |
Output is correct |
74 |
Correct |
7 ms |
2392 KB |
Output is correct |
75 |
Correct |
9 ms |
2396 KB |
Output is correct |
76 |
Correct |
7 ms |
860 KB |
Output is correct |
77 |
Correct |
8 ms |
2644 KB |
Output is correct |
78 |
Correct |
6 ms |
860 KB |
Output is correct |
79 |
Correct |
7 ms |
2648 KB |
Output is correct |
80 |
Correct |
7 ms |
2644 KB |
Output is correct |
81 |
Correct |
1880 ms |
4440 KB |
Output is correct |
82 |
Correct |
1728 ms |
4444 KB |
Output is correct |
83 |
Correct |
1876 ms |
4252 KB |
Output is correct |
84 |
Correct |
1881 ms |
4444 KB |
Output is correct |
85 |
Correct |
1848 ms |
4444 KB |
Output is correct |
86 |
Correct |
1855 ms |
4444 KB |
Output is correct |
87 |
Correct |
1716 ms |
4424 KB |
Output is correct |
88 |
Correct |
89 ms |
4444 KB |
Output is correct |
89 |
Correct |
96 ms |
4444 KB |
Output is correct |
90 |
Correct |
291 ms |
4440 KB |
Output is correct |
91 |
Correct |
282 ms |
4444 KB |
Output is correct |
92 |
Correct |
714 ms |
4444 KB |
Output is correct |
93 |
Correct |
770 ms |
4444 KB |
Output is correct |
94 |
Correct |
1336 ms |
4444 KB |
Output is correct |
95 |
Correct |
1269 ms |
4432 KB |
Output is correct |
96 |
Correct |
1587 ms |
4432 KB |
Output is correct |
97 |
Correct |
1653 ms |
4444 KB |
Output is correct |
98 |
Correct |
1148 ms |
4444 KB |
Output is correct |
99 |
Correct |
1164 ms |
4440 KB |
Output is correct |
100 |
Correct |
1201 ms |
4444 KB |
Output is correct |
101 |
Correct |
1138 ms |
4440 KB |
Output is correct |
102 |
Correct |
1029 ms |
4444 KB |
Output is correct |
103 |
Correct |
987 ms |
4440 KB |
Output is correct |
104 |
Correct |
953 ms |
4440 KB |
Output is correct |
105 |
Correct |
787 ms |
4444 KB |
Output is correct |