Submission #884995

#TimeUsernameProblemLanguageResultExecution timeMemory
884995EJIC_B_KEDAXLet's Win the Election (JOI22_ho_t3)C++17
5 / 100
799 ms994652 KiB
#ifdef LOCAL
    //#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>
#include <random>

#ifndef LOCAL
    //#pragma GCC optimize("O3")
    //#pragma GCC optimize("Ofast")
    //#pragma GCC optimize("unroll-loops")
    #pragma GCC target("avx,avx2,bmi,bmi2,popcnt,lzcnt")
#endif
using namespace std;
using ll = long long;
using ld = long double;
#define x first
#define y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()

mt19937_64 mt(418);

void solve();
void init();

int32_t main() {
#ifndef LOCAL
    cin.tie(nullptr)->sync_with_stdio(false);
#endif
    // srand(time(0));
    init();
    cout << fixed << setprecision(20);
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

void init() {}

bool cmp(const pair<int, int>& a, const pair<int, int>& b) {
    return 2 * a.y - a.x < 2 * b.y - b.x;
}



void solve() {
    int n, k;
    cin >> n >> k;
    vector<pair<int, int>> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i].x >> a[i].y;
        if (a[i].y == -1) {
            a[i].y = INT32_MAX;
        }
    }
    sort(all(a), cmp);
    vector<vector<vector<double>>> dp(n + 1, vector<vector<double>>(k + 1, vector<double>(n + 1, 2e18)));
    dp[0][0][0] = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j <= k; j++) {
            for (int l = 0; l <= n; l++) {
                dp[i + 1][j][l] = min(dp[i + 1][j][l], dp[i][j][l]);
                if (j > 0) {
                    dp[i + 1][j][l] = min(dp[i + 1][j][l], dp[i][j - 1][l] + a[i].x / (double)(l + 1));
                    if (l > 0) {
                        dp[i + 1][j][l] = min(dp[i + 1][j][l], dp[i][j - 1][l - 1] + a[i].y / (double)l);
                    }
                }
            }
        }
    }
    double ans = 2e18;
    for (int i = 0; i <= n; i++) {
        ans = min(ans, dp[n][k][i]);
    }
    cout << ans << '\n';
}
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