Submission #1328246

#TimeUsernameProblemLanguageResultExecution timeMemory
1328246KerimLet's Win the Election (JOI22_ho_t3)C++20
56 / 100
2632 ms1002596 KiB
#include <iostream>
#include <algorithm>
using namespace std;

struct Election {
	int a, b;
};

bool operator<(const Election &a1, const Election &a2) {
	if (a1.b < a2.b) return true;
	if (a1.b > a2.b) return false;
	if (a1.a < a2.a) return true;
	return false;
}

int N, K;
Election X[509];
double dp[509][509][509]; // (pos, total votes, cooperator)

double solve(int Goal) {
	// Initialize [1]
	for (int i = 0; i <= N; i++) {
		for (int j = 0; j <= N; j++) {
			for (int k = 0; k <= N; k++) dp[i][j][k] = 1e9;
		}
	}
	
	// Dynamic Programming
	dp[0][0][0] = 0;
	for (int i = 0; i < N; i++) {
		for (int j = 0; j <= K; j++) {
			for (int k = 0; k <= Goal; k++) {
				dp[i + 1][j + 0][k + 0] = min(dp[i + 1][j + 0][k + 0], dp[i][j][k]);
				dp[i + 1][j + 1][k + 0] = min(dp[i + 1][j + 1][k + 0], dp[i][j][k] + 1.0 * X[i + 1].a / (Goal + 1));
				dp[i + 1][j + 1][k + 1] = min(dp[i + 1][j + 1][k + 1], dp[i][j][k] + 1.0 * X[i + 1].b / (k + 1));
			}
		}
	}
	
	// Return Value
	return dp[N][K][Goal];
}

int main() {
	// Step #1. Input
	cin >> N;
	cin >> K;
	for (int i = 1; i <= N; i++) {
		cin >> X[i].a >> X[i].b;
		if (X[i].b == -1) X[i].b = 1000000;
	}
	
	// Step #2. Sorting
	sort(X + 1, X + N + 1);
	
	// Step #3. Brute Force
	double Answer = 1e9;
	for (int i = 0; i <= K; i++) {
		double ret = solve(i);
		Answer = min(Answer, ret);
	}
	
	// Step #4. Output
	printf("%.15lf\n", Answer);
	return 0;
}
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