# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1231288 | PVM_pvm | COVID tests (CEOI24_covid) | C++20 | 772 ms | 408 KiB |
#include<bits/stdc++.h>
using namespace std;
#define MAXN 1007
/// 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.
bool test_students(vector<bool> mask) {
assert(mask.size() == (size_t)N);
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.
bool otgov[MAXN];
void findd(int l, int r)
{
vector<bool> nl(N,0);
for (int q=l;q<=r;q++) nl[q]=1;
bool otg=test_students(nl);
if (otg)
{
if (l==r)
{
otgov[l]=1;
return;
}
int mid=(l+r)/2;
findd(l,mid);
findd(mid+1,r);
}
}
vector<bool> find_positive() {
vector<bool> answer(N,0);
int klk=1.0/P;
klk=N;
double curr=1-P;
for(int i=2;i<=N;i++){
curr*=(1-P);
if(curr<0.460){
klk=i-1; break;
}
}
int lr=0,rr=klk-1;
while (true)
{
if (lr>=N) break;
vector<bool> nl(N,0);
for (int q=lr;q<=rr;q++) nl[q]=1;
bool otg;
otg=test_students(nl);
if (otg==0)
{
lr=rr+1;
rr=lr+klk-1;
rr=min(rr,N-1);
continue;
}
int l=lr-1,r=rr;
while (l<r-1)
{
int mid=(l+r)/2;
vector<bool> nl2(N,0);
for (int q=lr;q<=mid;q++) nl2[q]=1;
otg=test_students(nl2);
if (otg) r=mid;
else l=mid;
}
answer[r]=1;
lr=r+1;
rr=lr+klk-1;
rr=min(rr,N-1);
}
return answer;
}
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++) {
vector<bool> answer = find_positive();
assert(answer.size() == (size_t)N);
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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