Submission #888075

#TimeUsernameProblemLanguageResultExecution timeMemory
888075HakiersLet's Win the Election (JOI22_ho_t3)C++17
100 / 100
1014 ms4696 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
constexpr int MAXN = 5e2 + 8;
constexpr ld oo = 2e10;
ld dp[MAXN][MAXN];
pair<ld, ld> T[MAXN];
int n, k;

ld check(ld m){
	
	for(int i = 0; i <= n; i++)
		for(int j = 0; j <= k; j++)
			dp[i][j] = oo;

	dp[0][0] = 0;

	for(int i = 1; i <= n; i++){
		for(int j = 0; j <= min(k-(int)m, i); j++){
			//dokladamy A
			//if(j < i) dp[i][j] = min(dp[i][j], (j?(dp[i-1][j-1] + (T[i].second/(m+1)): oo));
			//dokladamy B
			//dp[i][j] = (dp[i-1][j] + (T[i].first/min((ld)(i-j), m+1)));
			
			//min((j?(dp[i-1][j-1] + T[i].second/(m+1)): oo), ((i-j)?(dp[i-1][j] + T[i].first/min((ld)(i-j), m+1)): oo));
			//dokladamy A
			dp[i][j+1] = min(dp[i][j+1], dp[i-1][j] + (T[i].second/(m+1)));
			//dokladamy B
			if(i-j)
			dp[i][j] = min(dp[i][j], dp[i-1][j] + ((i-j <= m)? (T[i].first/min((ld)(i-j), m+1)):0));
		}
	}
	
	return dp[n][k-(int)m];
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	
	for(int i = 1; i <= n; i++){
		ld a, b;
		cin >> a >> b;
		if(b == -1) b = oo;
		T[i] = {b, a};
	}
	sort(T+1, T+1+n);
	
	ld best = oo;
	
	for(int i = 0; i <= (k-1); i++)
		best = min(best, check(i));
		
	cout << fixed << setprecision(9) << best << "\n";
}
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