Submission #1237246

#	Time	Username	Problem	Language	Result	Execution time	Memory
1237246		The_Samurai	COVID tests (CEOI24_covid)	C++20	39.10 / 100	6531 ms	668 KiB

Main

#include "bits/stdc++.h"
using namespace std;

/// You may use:

// The number of students
int n;

// The probability any given student is positive
double P;

// This function performs a test on a subset of samples.
// Its argument is a vector of Booleans of length N,
// where the i-th element is true if the i-th sample should be added to the mix.
// It returns true if (and only if) at least one of the samples in the mix is positive.
map<vector<bool>, bool> mp;

bool test_students(std::vector<bool> mask) {
    if (mp.count(mask)) return mp[mask];
    assert(mask.size() == (size_t)n);

    std::string mask_str(n, ' ');
    for (int i = 0; i < n; i++)
        mask_str[i] = mask[i] ? '1' : '0';
    cout << "Q " << mask_str << endl;

    char answer;
    cin >> answer;
    return mp[mask] = (answer == 'P');
}

int f(int l, int r) {
    int best = -1, start = l;
    while (l <= r) {
        int mid = (l + r) >> 1;
        vector<bool> shit(n);
        for (int i = start; i <= mid; i++) shit[i] = true;
        if (test_students(shit)) {
            best = mid;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }
    return best;
}

std::vector<bool> find_positive() {
    mp.clear();
    int exp = n * P, best = 1e9;
    for (int ln = 1; ln <= n; ln++) {
        int now = (n + ln - 1) / ln;
        now += (log2(ln) + 1) * exp;
        best = min(best, now);
    }
    vector<bool> ans(n);
    for (int ln = 1; ln <= n; ln++) {
        int now = (n + ln - 1) / ln;
        now += (log2(ln) + 1) * exp;
        if (now != best) continue;
        int l = 0, r = ln - 1;
        while (true) {
            int best = f(l, r);
            if (best != -1) ans[best] = true;
            l = best == -1 ? r + 1 : best + 1;
            r = min(r + ln, n - 1);
            if (l > r) break;
        }
        break;
        // for (int i = 0; i * ln < n; i++) {
        //     int l = i * ln, r = min(n - 1, (i + 1) * ln - 1);
        //     while (l <= r) {
        //         vector<bool> shit(n);
        //         for (int j = l; j <= r; j++) shit[j] = true;
        //         if (!test_students(shit)) break;
        //         int best = f(l, r);
        //         if (best == -1) break;
        //         ans[best] = true;
        //         l = best + 1;
        //         if (l > r) break;
        //     }
        // }
        // break;
    }
    return ans;
}

int main() {
    cin.tie(0)->sync_with_stdio(false);
    int T;
    cin >> n >> P >> T;

    // You may perform any extra initialization here.

    for (int i = 0; i < T; i++) {
        std::vector<bool> answer = find_positive();
        assert(answer.size() == (size_t)n);

        std::string answer_str(n, ' ');
        for (int j = 0; j < n; j++)
            answer_str[j] = answer[j] ? '1' : '0';
        cout << "A " << answer_str << endl;

        char verdict;
        cin >> verdict;
        if (verdict == 'W')
            exit(0);
    }

    return 0;
}

• Subtask 0: 0 / 0
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• Subtask 2: 29.1 / 90