# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1272565 | antonn | COVID tests (CEOI24_covid) | C++20 | 825 ms | 404 KiB |
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
// 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.
bool test_students(std::vector<bool> 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';
printf("Q %s\n", mask_str.c_str());
fflush(stdout);
char answer;
scanf(" %c", &answer);
return answer == 'P';
}
/// You should implement:
// This function will be called once for each test instance.
// It should use test_students to determine which samples are positive.
// It must return a vector of Booleans of length N,
// where the i-th element is true if and only if the i-th sample is positive.
vector<bool> ff;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
bool ask(int l, int r) {
vector<bool> query(N, 0);
for (int i = l; i <= r; ++i) query[i] = 1;
return test_students(query);
}
int getFirst(int l, int r) {
if (l == r) return l;
int m = (l + r) / 2;
if (ask(l, m)) {
return getFirst(l, m);
} else {
return getFirst(m + 1, r);
}
}
vector<bool> find_positive() {
ff.resize(N);
for (int i = 0; i < N; ++i) ff[i] = 0;
int B = 0;
if (P == 0.001) {
B = 200;
} else if (P == 0.005256) {
B = 160;
} else if (P == 0.011546) {
B = 80;
} else if (P == 0.028545) {
B = 30;
} else if (P == 0.039856) {
B = 20;
} else if (P == 0.068648) {
B = 10;
} else if (P == 0.104571) {
B = 6;
} else if (P == 0.158765) {
B = 4;
} else if (P == 0.2) {
B = 2;
}
int pos = 0;
while (pos < N) {
int l = pos;
int r = min(pos + B, N - 1);
if (ask(l, r)) {
int x = getFirst(l, r);
ff[x] = 1;
pos = x + 1;
} else {
pos = r + 1;
}
}
return ff;
}
int main() {
int T;
scanf("%d %lf %d", &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';
printf("A %s\n", answer_str.c_str());
fflush(stdout);
char verdict;
scanf(" %c", &verdict);
if (verdict == 'W')
exit(0);
}
return 0;
}
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