Submission #587148

#TimeUsernameProblemLanguageResultExecution timeMemory
587148rgnerdplayerLet's Win the Election (JOI22_ho_t3)C++17
100 / 100
247 ms1508 KiB
#include <bits/stdc++.h> using namespace std; using i64 = long long; template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string) s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast<int>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto &x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cout << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cout << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cout << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif int main() { cin.tie(nullptr)->sync_with_stdio(false); #ifdef LOCAL freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif auto solve = [&]() { int n, k; cin >> n >> k; vector<int> a(n), b(n); for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; if (b[i] == -1) { b[i] = 1e9; } } vector<int> ord(n); iota(ord.begin(), ord.end(), 0); sort(ord.begin(), ord.end(), [&](auto i, auto j) { return b[i] < b[j]; }); vector g(n + 1, vector<int>(k + 1, 1e9)); g[n][0] = 0; for (int i = n - 1; i >= 0; i--) { g[i] = g[i + 1]; for (int j = 0; j < k; j++) { g[i][j + 1] = min(g[i][j + 1], g[i + 1][j] + a[ord[i]]); } } double ans = g[0][k]; for (int x = 1; x <= k; x++) { vector<double> f(x + 1, 1e9); f[0] = 0; for (int i = 0; i < k; i++) { int p = ord[i]; vector<double> nf(x + 1, 1e9); for (int j = 0; j <= x; j++) { nf[j] = min(nf[j], f[j] + 1.0 * a[p] / (x + 1)); if (j < x) { nf[j + 1] = min(nf[j + 1], f[j] + 1.0 * b[p] / (j + 1)); } } f = nf; ans = min(ans, f[x] + 1.0 * g[i + 1][k - i - 1] / (x + 1)); } } cout << fixed << setprecision(9) << ans << '\n'; }; solve(); return 0; }
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