Submission #526350

#TimeUsernameProblemLanguageResultExecution timeMemory
526350model_codeLet's Win the Election (JOI22_ho_t3)C++17
100 / 100
1249 ms503500 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]; long long dp[509][509][509]; // (pos, total votes, cooperator) long long CONST = 1000000000; long long 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); } } } // Dynamic Programming 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 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 long long Answer = (1LL << 60); for (int i = 0; i <= K; i++) { long long ret = solve(i); Answer = min(Answer, ret); } // Step #4. Output printf("%lld.%09lld\n", Answer / CONST, Answer % CONST); return 0; }
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