Submission #1130426

#TimeUsernameProblemLanguageResultExecution timeMemory
1130426AksLolCodingLet's Win the Election (JOI22_ho_t3)C++17
100 / 100
2154 ms503456 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

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];
ll dp[509][509][509];
ll CONST = 1000000000;

ll solve(int Goal) {
	// Initialize [1]
	for (int i = 0; i <= N; i++) {
		for (int j = 0; j <= min(i, K); j++) {
			if (i == j) {
				for (int k = 0; k <= min(j, Goal); k++) dp[i][j][k] = (1LL << 60);
			}
			else {
				dp[i][j][Goal] = (1LL << 60);
			}
		}
	}
	
	dp[0][0][0] = 0;
	for (int i = 0; i < N; i++) {
		for (int j = max(0, K - N + i); j <= min(i, K); j++) {
			if (i == j) {
				for (int k = max(0, Goal - N + i); k <= min(j, 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] + CONST * 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] + CONST * X[i + 1].b / (k + 1));
				}
			}
			else {
				dp[i + 1][j + 0][Goal] = min(dp[i + 1][j + 0][Goal], dp[i][j][Goal]);
				dp[i + 1][j + 1][Goal] = min(dp[i + 1][j + 1][Goal], dp[i][j][Goal] + CONST * X[i + 1].a / (Goal + 1));
			}
		}
	}
	
	return dp[N][K][Goal];
}

int main() {
	cin >> N >> K;
	for (int i = 1; i <= N; i++) {
		cin >> X[i].a >> X[i].b;
		if (X[i].b == -1) X[i].b = 1000000;
	}
	
	// solve
	sort(X + 1, X + N + 1);
	
	ll ans = 1LL << 60;
	for (int i = 0; i <= K; i++) {
		ll ret = solve(i);
		ans = min(ans, solve(i));
	}
	
	// ans
	printf("%lld.%09lld\n", ans / CONST, ans % CONST);
}
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