#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+2][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;
}
for(int i=0;i<=n;i++) suf[n+1][i]=0.0;
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));
}
}
for(int i=1;i<=k;i++)
{
ans=min(ans,dp[i][goal]+suf[i+1][k-i]/(bol+1.0));
//cout << "i: " << i << " goal: " << goal << " " << dp[i][goal]+suf[i+1][k-goal]/(bol+1.0) << endl;
}
//cout << "goal: " << dp[n][goal] << endl;
}
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 |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
14 ms |
4644 KB |
Output is correct |
6 |
Correct |
65 ms |
5168 KB |
Output is correct |
7 |
Correct |
259 ms |
6204 KB |
Output is correct |
8 |
Correct |
547 ms |
7364 KB |
Output is correct |
9 |
Correct |
974 ms |
8368 KB |
Output is correct |
10 |
Correct |
493 ms |
6992 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
14 ms |
4644 KB |
Output is correct |
6 |
Correct |
65 ms |
5168 KB |
Output is correct |
7 |
Correct |
259 ms |
6204 KB |
Output is correct |
8 |
Correct |
547 ms |
7364 KB |
Output is correct |
9 |
Correct |
974 ms |
8368 KB |
Output is correct |
10 |
Correct |
493 ms |
6992 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
96 ms |
5480 KB |
Output is correct |
13 |
Correct |
95 ms |
5440 KB |
Output is correct |
14 |
Correct |
94 ms |
5472 KB |
Output is correct |
15 |
Correct |
486 ms |
7276 KB |
Output is correct |
16 |
Correct |
490 ms |
7024 KB |
Output is correct |
17 |
Correct |
492 ms |
7140 KB |
Output is correct |
18 |
Incorrect |
967 ms |
8260 KB |
Output isn't correct |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 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 |
1 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 |
0 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 |
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 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
26 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 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 |
1 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 |
0 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 |
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 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
26 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1016 ms |
8272 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
14 ms |
4644 KB |
Output is correct |
6 |
Correct |
65 ms |
5168 KB |
Output is correct |
7 |
Correct |
259 ms |
6204 KB |
Output is correct |
8 |
Correct |
547 ms |
7364 KB |
Output is correct |
9 |
Correct |
974 ms |
8368 KB |
Output is correct |
10 |
Correct |
493 ms |
6992 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
96 ms |
5480 KB |
Output is correct |
13 |
Correct |
95 ms |
5440 KB |
Output is correct |
14 |
Correct |
94 ms |
5472 KB |
Output is correct |
15 |
Correct |
486 ms |
7276 KB |
Output is correct |
16 |
Correct |
490 ms |
7024 KB |
Output is correct |
17 |
Correct |
492 ms |
7140 KB |
Output is correct |
18 |
Incorrect |
967 ms |
8260 KB |
Output isn't correct |
19 |
Halted |
0 ms |
0 KB |
- |