제출 #587148

#제출 시각아이디문제언어결과실행 시간메모리
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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