#include "bits/stdc++.h"
#pragma optimize ("Bismillahirrahmanirrahim")
using namespace std;
#define pb push_back
#define ff first
#define ss second
#define endl "\n"
#define int long long
#define double long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define what_is(x) cerr << #x << " is " << x << endl;
//#define m (l+r)/2
constexpr int N=200005;
constexpr int MOD=1000000007;
constexpr int INF2 = LLONG_MAX;
constexpr double INF=(double)1e14;
constexpr int LOG=30;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tp;
typedef priority_queue<pii,vector<pii>,greater<pii>> min_pq;
typedef priority_queue<pii> max_pq;
typedef long long ll;
//to think//
/*
* graph approach
* dp
* dividing the problem to smaller statements
* finding the real constraint
* sqrt decomposition
* greedy approach
* pigeonhole principle
* rewriting the problem/equality
* bitwise approaches
* binary search if monotonic
* divide and conquer
* combinatorics
* inclusion - exclusion
* think like bfs
*/
inline int in()
{
int x;cin >> x;
return x;
}
inline string in2()
{
string x;cin >> x;
return x;
}
void solve()
{
int n=in(),k=in();
vector<array<double,2>> v(n);
for(int i=0;i<n;i++)
{
v[i][1]=in(),v[i][0]=in();
if(v[i][0]==-1) v[i][0]=INF;
}
sort(all(v));
double suf[n+2][n+1];
double ans=INF;
multiset<double> cur;
for(int i=n-1;i>=0;i--)
{
double pre=0;
cur.insert(v[i][1]);
int p=0;
suf[i+1][0]=pre;
for(int j:cur)
{
pre+=j;
suf[i+1][++p]=pre;
}
for(int j=p+1;j<=n;j++) suf[i+1][j]=INF;
}
for(int i=0;i<=n;i++) suf[n+1][i]=0.0;
ans=min(ans,(double)suf[1][k]);
for(int goal=1;goal<=k;goal++)
{
double dp[n+2][goal+2];
for(int j=0;j<=n;j++)
for(int i=0;i<=goal;i++)
dp[j][i]=INF;
dp[0][0]=0.0;
double bol=goal;
for(int i=1;i<=n;i++)
{
for(int j=0;j<=goal;j++)
{
dp[i][j]=min(dp[i-1][j]+v[i-1][1]/(bol+1.0),dp[i][j]);
if(j>0) dp[i][j]=min(dp[i][j],dp[i-1][j-1]+v[i-1][0]/(j*1.0));
}
}
for(int i=1;i<=k;i++) ans=min(ans,dp[i][goal]+suf[i+1][k-i]/(bol+1.0));
}
cout << ans << endl;
}
int32_t main(){
cin.tie(0); ios::sync_with_stdio(0);
cout << fixed << setprecision(15);
int t=1;//cin>> t;
for(int i=1;i<=t;i++)
{
// cout << "Case #" << i << ": ";
solve();
}
return 0;
}
Compilation message
Main.cpp:2: warning: ignoring '#pragma optimize ' [-Wunknown-pragmas]
2 | #pragma optimize ("Bismillahirrahmanirrahim")
|
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
15 ms |
4692 KB |
Output is correct |
6 |
Correct |
68 ms |
5324 KB |
Output is correct |
7 |
Correct |
261 ms |
6172 KB |
Output is correct |
8 |
Correct |
551 ms |
7196 KB |
Output is correct |
9 |
Correct |
976 ms |
8180 KB |
Output is correct |
10 |
Correct |
467 ms |
7024 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
15 ms |
4692 KB |
Output is correct |
6 |
Correct |
68 ms |
5324 KB |
Output is correct |
7 |
Correct |
261 ms |
6172 KB |
Output is correct |
8 |
Correct |
551 ms |
7196 KB |
Output is correct |
9 |
Correct |
976 ms |
8180 KB |
Output is correct |
10 |
Correct |
467 ms |
7024 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
98 ms |
5468 KB |
Output is correct |
13 |
Correct |
94 ms |
5456 KB |
Output is correct |
14 |
Correct |
95 ms |
5464 KB |
Output is correct |
15 |
Correct |
484 ms |
6980 KB |
Output is correct |
16 |
Correct |
471 ms |
7136 KB |
Output is correct |
17 |
Correct |
474 ms |
7232 KB |
Output is correct |
18 |
Correct |
959 ms |
8240 KB |
Output is correct |
19 |
Correct |
1029 ms |
8316 KB |
Output is correct |
20 |
Correct |
960 ms |
8484 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
216 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 |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 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 |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
216 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 |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 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 |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
596 KB |
Output is correct |
43 |
Correct |
1 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
3 ms |
468 KB |
Output is correct |
46 |
Correct |
3 ms |
468 KB |
Output is correct |
47 |
Correct |
4 ms |
468 KB |
Output is correct |
48 |
Correct |
4 ms |
468 KB |
Output is correct |
49 |
Correct |
8 ms |
612 KB |
Output is correct |
50 |
Correct |
6 ms |
596 KB |
Output is correct |
51 |
Correct |
9 ms |
596 KB |
Output is correct |
52 |
Correct |
9 ms |
592 KB |
Output is correct |
53 |
Correct |
4 ms |
468 KB |
Output is correct |
54 |
Correct |
4 ms |
468 KB |
Output is correct |
55 |
Correct |
5 ms |
596 KB |
Output is correct |
56 |
Correct |
5 ms |
572 KB |
Output is correct |
57 |
Correct |
4 ms |
596 KB |
Output is correct |
58 |
Correct |
4 ms |
468 KB |
Output is correct |
59 |
Correct |
4 ms |
468 KB |
Output is correct |
60 |
Correct |
5 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
974 ms |
8184 KB |
Output is correct |
2 |
Correct |
984 ms |
8192 KB |
Output is correct |
3 |
Correct |
999 ms |
8252 KB |
Output is correct |
4 |
Correct |
968 ms |
8224 KB |
Output is correct |
5 |
Correct |
963 ms |
8212 KB |
Output is correct |
6 |
Correct |
994 ms |
8356 KB |
Output is correct |
7 |
Correct |
978 ms |
8140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
15 ms |
4692 KB |
Output is correct |
6 |
Correct |
68 ms |
5324 KB |
Output is correct |
7 |
Correct |
261 ms |
6172 KB |
Output is correct |
8 |
Correct |
551 ms |
7196 KB |
Output is correct |
9 |
Correct |
976 ms |
8180 KB |
Output is correct |
10 |
Correct |
467 ms |
7024 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
98 ms |
5468 KB |
Output is correct |
13 |
Correct |
94 ms |
5456 KB |
Output is correct |
14 |
Correct |
95 ms |
5464 KB |
Output is correct |
15 |
Correct |
484 ms |
6980 KB |
Output is correct |
16 |
Correct |
471 ms |
7136 KB |
Output is correct |
17 |
Correct |
474 ms |
7232 KB |
Output is correct |
18 |
Correct |
959 ms |
8240 KB |
Output is correct |
19 |
Correct |
1029 ms |
8316 KB |
Output is correct |
20 |
Correct |
960 ms |
8484 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
216 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 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 |
212 KB |
Output is correct |
61 |
Correct |
1 ms |
468 KB |
Output is correct |
62 |
Correct |
1 ms |
596 KB |
Output is correct |
63 |
Correct |
1 ms |
468 KB |
Output is correct |
64 |
Correct |
1 ms |
468 KB |
Output is correct |
65 |
Correct |
3 ms |
468 KB |
Output is correct |
66 |
Correct |
3 ms |
468 KB |
Output is correct |
67 |
Correct |
4 ms |
468 KB |
Output is correct |
68 |
Correct |
4 ms |
468 KB |
Output is correct |
69 |
Correct |
8 ms |
612 KB |
Output is correct |
70 |
Correct |
6 ms |
596 KB |
Output is correct |
71 |
Correct |
9 ms |
596 KB |
Output is correct |
72 |
Correct |
9 ms |
592 KB |
Output is correct |
73 |
Correct |
4 ms |
468 KB |
Output is correct |
74 |
Correct |
4 ms |
468 KB |
Output is correct |
75 |
Correct |
5 ms |
596 KB |
Output is correct |
76 |
Correct |
5 ms |
572 KB |
Output is correct |
77 |
Correct |
4 ms |
596 KB |
Output is correct |
78 |
Correct |
4 ms |
468 KB |
Output is correct |
79 |
Correct |
4 ms |
468 KB |
Output is correct |
80 |
Correct |
5 ms |
468 KB |
Output is correct |
81 |
Correct |
974 ms |
8184 KB |
Output is correct |
82 |
Correct |
984 ms |
8192 KB |
Output is correct |
83 |
Correct |
999 ms |
8252 KB |
Output is correct |
84 |
Correct |
968 ms |
8224 KB |
Output is correct |
85 |
Correct |
963 ms |
8212 KB |
Output is correct |
86 |
Correct |
994 ms |
8356 KB |
Output is correct |
87 |
Correct |
978 ms |
8140 KB |
Output is correct |
88 |
Correct |
14 ms |
4692 KB |
Output is correct |
89 |
Correct |
15 ms |
4692 KB |
Output is correct |
90 |
Correct |
69 ms |
5268 KB |
Output is correct |
91 |
Correct |
67 ms |
5248 KB |
Output is correct |
92 |
Correct |
269 ms |
6196 KB |
Output is correct |
93 |
Correct |
243 ms |
6236 KB |
Output is correct |
94 |
Correct |
566 ms |
7464 KB |
Output is correct |
95 |
Correct |
571 ms |
7216 KB |
Output is correct |
96 |
Correct |
781 ms |
7860 KB |
Output is correct |
97 |
Correct |
806 ms |
7956 KB |
Output is correct |
98 |
Correct |
488 ms |
7012 KB |
Output is correct |
99 |
Correct |
472 ms |
6988 KB |
Output is correct |
100 |
Correct |
477 ms |
7084 KB |
Output is correct |
101 |
Correct |
484 ms |
6988 KB |
Output is correct |
102 |
Correct |
474 ms |
7048 KB |
Output is correct |
103 |
Correct |
477 ms |
7028 KB |
Output is correct |
104 |
Correct |
475 ms |
6992 KB |
Output is correct |
105 |
Correct |
474 ms |
7016 KB |
Output is correct |