제출 #938074

#제출 시각아이디문제언어결과실행 시간메모리
938074vjudge1Let's Win the Election (JOI22_ho_t3)C++17
56 / 100
2533 ms3528 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long double ld;

int N, K; 
vector<pair<ld, ld>> v;

ld solve(ld collaborators){
	vector<vector<ld>> dp(K+1, vector<ld>(collaborators + 1, 1e18));
	dp[0][0] = 0;
	for(int i = 0; i < N; i++){
		for(int elem = K - 1; elem >= 0; elem--){					
			for(int j = collaborators; j >= 0; j--){
				if(j != collaborators) dp[elem+1][j+1] = min(dp[elem+1][j+1], dp[elem][j] + v[i].first / (j+1.0));
				dp[elem+1][j] = min(dp[elem+1][j], dp[elem][j] + v[i].second / (collaborators+1.0));
			}
		}
	}
	return dp[K][collaborators];
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	cin >> N >> K;
	v.resize(N);
	for(int i = 0; i < N; i++){
		cin >> v[i].second >> v[i].first;
		if(v[i].first == -1) v[i].first = 1e9;
	}
	sort(v.begin(), v.end());
	ld ans = 7e18;
	int lo = 0;
	int hi = K - 1;
	while(lo <= hi){
		int mid = (lo + hi) / 2;
		ld collab = mid;
		ld ans1 = solve(collab);
		ans = min(ans, ans1);
		if(mid == hi){
			hi = mid - 1;
		}else{
			ld ans2 = solve(collab + 1);
			ans = min(ans, ans2);
			if(ans2 < ans1){
				lo = mid + 1;
			}else hi = mid - 1;
		}
	}
	cout << fixed << setprecision(8) << ans << "\n";
}
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