Submission #937970

# Submission time Handle Problem Language Result Execution time Memory
937970 2024-03-04T17:20:06 Z Litusiano Let's Win the Election (JOI22_ho_t3) C++17
11 / 100
803 ms 600 KB
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl "\n"
const int INF = 1e18;
mt19937 rng((unsigned int) chrono::steady_clock::now().time_since_epoch().count());

bool cmp(pair<int,int> a, pair<int,int> b){
	if(a.second == b.second) return a.first < b.first;
	return a.second-a.first < b.second-b.first;
}

void shuffle(vector<pair<int,int>>& v){
	int n = v.size();
	for(int i = 0; i<3*n; i++){
		int a = rng()%n; int b = rng()%n;
		swap(v[a],v[b]);
	}
 
}

signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout<<setprecision(3)<<fixed;
	int n,k1; cin>>n>>k1;

	vector<pair<int,int>> v(n);
	for(int i = 0; i<n; i++){
		cin>>v[i].first>>v[i].second;
		if(v[i].second == -1) v[i].second = INF;
	}
	if(n > 20){
		sort(v.begin(),v.end());
		long double ans = 0;
		int cnt = 0;
		for(auto x : v){
			ans+=(1.0*x.first/(cnt+1));
			if(x.second < INF-10) cnt++;
		}
		cout<<setprecision(10)<<ans<<endl;
		return 0;
	}
	sort(v.begin(),v.end(),cmp);
	int q = 13000;
	long double ans = INF;
	while(q--){
		shuffle(v);
		long double dp[n+1][k1+1][k1+1];
		for(int i = 0; i<=n; i++){
			for(int j = 0; j<=k1; j++){
				for(int k = 0; k<=k1; k++) dp[i][j][k] = 1.0*INF;
			}
		}
		dp[0][0][0] = 0; // first i, j votes, k representants
		for(int i = 1; i<=n; i++){
			for(int j = 0; j<=k1; j++){
				for(int k = 0; k<=k1; k++){
					dp[i][j][k] = dp[i-1][j][k];
					if(!j) continue;
					long double act = dp[i-1][j-1][k]; // just speech for vote
					act+= 1.0*v[i-1].first/(k+1);
					dp[i][j][k] = min(dp[i][j][k],act);
					if(!k || v[i-1].second == INF) continue;
					act = dp[i-1][j-1][k-1];
					act+= 1.0*v[i-1].second / k;
					dp[i][j][k] = min(dp[i][j][k],act);
				}
			}
		}
		for(int k = 0; k<=k1; k++){
			ans = min(ans, dp[n][k1][k]);
		}
	}
	cout<<ans<<endl;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 6 ms 348 KB Output is correct
3 Correct 9 ms 460 KB Output is correct
4 Correct 15 ms 344 KB Output is correct
5 Incorrect 0 ms 344 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 6 ms 348 KB Output is correct
3 Correct 9 ms 460 KB Output is correct
4 Correct 15 ms 344 KB Output is correct
5 Incorrect 0 ms 344 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 600 KB Output is correct
2 Correct 19 ms 348 KB Output is correct
3 Correct 27 ms 348 KB Output is correct
4 Correct 41 ms 348 KB Output is correct
5 Correct 62 ms 344 KB Output is correct
6 Correct 74 ms 428 KB Output is correct
7 Correct 95 ms 348 KB Output is correct
8 Correct 58 ms 428 KB Output is correct
9 Correct 59 ms 428 KB Output is correct
10 Correct 57 ms 428 KB Output is correct
11 Correct 57 ms 348 KB Output is correct
12 Correct 62 ms 432 KB Output is correct
13 Correct 56 ms 348 KB Output is correct
14 Correct 41 ms 348 KB Output is correct
15 Correct 102 ms 436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 600 KB Output is correct
2 Correct 19 ms 348 KB Output is correct
3 Correct 27 ms 348 KB Output is correct
4 Correct 41 ms 348 KB Output is correct
5 Correct 62 ms 344 KB Output is correct
6 Correct 74 ms 428 KB Output is correct
7 Correct 95 ms 348 KB Output is correct
8 Correct 58 ms 428 KB Output is correct
9 Correct 59 ms 428 KB Output is correct
10 Correct 57 ms 428 KB Output is correct
11 Correct 57 ms 348 KB Output is correct
12 Correct 62 ms 432 KB Output is correct
13 Correct 56 ms 348 KB Output is correct
14 Correct 41 ms 348 KB Output is correct
15 Correct 102 ms 436 KB Output is correct
16 Correct 77 ms 432 KB Output is correct
17 Correct 409 ms 348 KB Output is correct
18 Correct 398 ms 464 KB Output is correct
19 Correct 793 ms 492 KB Output is correct
20 Incorrect 803 ms 492 KB Output isn't correct
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 600 KB Output is correct
2 Correct 19 ms 348 KB Output is correct
3 Correct 27 ms 348 KB Output is correct
4 Correct 41 ms 348 KB Output is correct
5 Correct 62 ms 344 KB Output is correct
6 Correct 74 ms 428 KB Output is correct
7 Correct 95 ms 348 KB Output is correct
8 Correct 58 ms 428 KB Output is correct
9 Correct 59 ms 428 KB Output is correct
10 Correct 57 ms 428 KB Output is correct
11 Correct 57 ms 348 KB Output is correct
12 Correct 62 ms 432 KB Output is correct
13 Correct 56 ms 348 KB Output is correct
14 Correct 41 ms 348 KB Output is correct
15 Correct 102 ms 436 KB Output is correct
16 Correct 77 ms 432 KB Output is correct
17 Correct 409 ms 348 KB Output is correct
18 Correct 398 ms 464 KB Output is correct
19 Correct 793 ms 492 KB Output is correct
20 Incorrect 803 ms 492 KB Output isn't correct
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 344 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 6 ms 348 KB Output is correct
3 Correct 9 ms 460 KB Output is correct
4 Correct 15 ms 344 KB Output is correct
5 Incorrect 0 ms 344 KB Output isn't correct
6 Halted 0 ms 0 KB -