#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 int INF=(int)1e18;
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*1.0;
}
sort(all(v));
double suf[n+1][n+1];
double ans=INF*1.0;
multiset<double> cur;
for(int i=n-1;i>=0;i--)
{
double pre=0;
cur.insert(v[i][1]);
int p=0;
suf[i][0]=pre;
for(int j:cur)
{
pre+=j;
suf[i][++p]=pre;
}
for(int j=p+1;j<=n;j++) suf[i][j]=INF*1.0;
}
ans=min(ans,(double)suf[0][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*1.0;
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));
if(j==goal && i+1<=n && i<=k) ans=min(ans, dp[i][j]+ suf[i+1][k-i]/(bol+1.0) );
//if(j==goal && i==n) ans=min(ans,dp[i][j]);
if(j==goal && i>=k) ans=min(ans,dp[i][j]);
}
}
}
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")
|
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
18 ms |
4676 KB |
Output is correct |
6 |
Correct |
75 ms |
5312 KB |
Output is correct |
7 |
Correct |
386 ms |
6252 KB |
Output is correct |
8 |
Correct |
681 ms |
7176 KB |
Output is correct |
9 |
Correct |
1114 ms |
8168 KB |
Output is correct |
10 |
Correct |
570 ms |
7012 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
18 ms |
4676 KB |
Output is correct |
6 |
Correct |
75 ms |
5312 KB |
Output is correct |
7 |
Correct |
386 ms |
6252 KB |
Output is correct |
8 |
Correct |
681 ms |
7176 KB |
Output is correct |
9 |
Correct |
1114 ms |
8168 KB |
Output is correct |
10 |
Correct |
570 ms |
7012 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
106 ms |
5376 KB |
Output is correct |
13 |
Correct |
107 ms |
5468 KB |
Output is correct |
14 |
Correct |
102 ms |
5444 KB |
Output is correct |
15 |
Correct |
584 ms |
7016 KB |
Output is correct |
16 |
Correct |
559 ms |
7064 KB |
Output is correct |
17 |
Correct |
526 ms |
7212 KB |
Output is correct |
18 |
Incorrect |
1197 ms |
8400 KB |
Output isn't correct |
19 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
316 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
316 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
324 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 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 |
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 |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
320 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
316 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
324 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 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 |
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 |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
320 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
448 KB |
Output is correct |
42 |
Correct |
1 ms |
468 KB |
Output is correct |
43 |
Correct |
3 ms |
468 KB |
Output is correct |
44 |
Correct |
2 ms |
468 KB |
Output is correct |
45 |
Correct |
3 ms |
444 KB |
Output is correct |
46 |
Correct |
4 ms |
468 KB |
Output is correct |
47 |
Correct |
5 ms |
576 KB |
Output is correct |
48 |
Correct |
5 ms |
468 KB |
Output is correct |
49 |
Correct |
7 ms |
596 KB |
Output is correct |
50 |
Correct |
6 ms |
592 KB |
Output is correct |
51 |
Incorrect |
10 ms |
648 KB |
Output isn't correct |
52 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1158 ms |
8184 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
18 ms |
4676 KB |
Output is correct |
6 |
Correct |
75 ms |
5312 KB |
Output is correct |
7 |
Correct |
386 ms |
6252 KB |
Output is correct |
8 |
Correct |
681 ms |
7176 KB |
Output is correct |
9 |
Correct |
1114 ms |
8168 KB |
Output is correct |
10 |
Correct |
570 ms |
7012 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
106 ms |
5376 KB |
Output is correct |
13 |
Correct |
107 ms |
5468 KB |
Output is correct |
14 |
Correct |
102 ms |
5444 KB |
Output is correct |
15 |
Correct |
584 ms |
7016 KB |
Output is correct |
16 |
Correct |
559 ms |
7064 KB |
Output is correct |
17 |
Correct |
526 ms |
7212 KB |
Output is correct |
18 |
Incorrect |
1197 ms |
8400 KB |
Output isn't correct |
19 |
Halted |
0 ms |
0 KB |
- |