Submission #1067440

#TimeUsernameProblemLanguageResultExecution timeMemory
1067440vjudge1Let's Win the Election (JOI22_ho_t3)C++17
100 / 100
164 ms4444 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; #define int long long #define FOR(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (b); i >= (a); i --) #define REP(i, a) for (int i = 0; i < (a); ++i) #define REPD(i, a) for (int i = (a) - 1; i >= 0; --i) #define MASK(i) (1LL << (i)) #define BIT(x, i) (((x) >> (i)) & 1) constexpr ll LINF = (1ll << 60); constexpr int INF = (1ll << 30); constexpr int Mod = 1e9 + 7; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); /* Phu Trong from Nguyen Tat Thanh High School for gifted student */ template <class X, class Y> bool minimize(X &x, const Y &y){ X eps = 1e-9; if (x > y + eps) {x = y; return 1;} return 0; } template <class X, class Y> bool maximize(X &x, const Y &y){ X eps = 1e-9; if (x + eps < y) {x = y; return 1;} return 0; } #define MAX 505 int N, K; double A[MAX], B[MAX]; double dp[MAX][MAX], cost[MAX][MAX]; void process(void){ cin >> N >> K; for (int i = 1; i <= N; ++i){ cin >> A[i] >> B[i]; if(B[i] == -1) B[i] = 1e9; } vector<int> order(N + 1); iota(order.begin(), order.end(), 0); sort(order.begin() + 1, order.end(), [&](int i, int j){ return B[i] < B[j]; }); vector<double> vals; FOR(i, 0, N) FOR(j, 0, N) cost[i][j] = 1e9; for (int i = N; i >= 1; --i){ vals.push_back(A[order[i]]); sort(vals.begin(), vals.end()); double sm = 0; cost[i][0] = 0; for (int j = 0; j < (int)vals.size(); ++j){ sm += vals[j]; cost[i][j + 1] = sm; } } double ans = cost[1][K]; for (int tak = 0; tak <= K; ++tak){ for (int i = 0; i <= K; ++i){ for (int j = 0; j <= K; ++j){ dp[i][j] = 1e9; } } dp[0][0] = 0; for (int i = 1; i <= K; ++i){ for (int j = 0; j <= i; ++j){ dp[i][j] = dp[i - 1][j] + (double)A[order[i]] / (double)(tak + 1); if(j > 0) minimize(dp[i][j], dp[i - 1][j - 1] + (double)B[order[i]] / (double)(j)); if(j == tak){ int need = K - i; minimize(ans, dp[i][j] + (double)cost[i + 1][need] / (double)(tak + 1)); } } } } cout << setprecision(10) << fixed << ans; } signed main(){ #define name "Whisper" cin.tie(nullptr) -> sync_with_stdio(false); //freopen(name".inp", "r", stdin); //freopen(name".out", "w", stdout); process(); return (0 ^ 0); }
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