#include <vector>
#include <tuple>
#include <algorithm>
#include <forward_list>
using namespace std;
extern void answer(vector<int> C, vector<int> X, vector<int> Y);
void create_circuit(int M, vector<int> A) {
int N = A.size();
vector<int> C(M + 1);
vector<int> X;
vector<int> Y;
vector<tuple<int, bool, int> > outputs(N);
C[0] = A[0];
for(int i = 1; i <= M; i++){
C[i] = -1;
}
int switches = 0;
int log_two = 0;
while(1 << log_two < N){
log_two++;
}
auto output = outputs.begin();
forward_list<tuple<int, int, int, int, int, bool> > build_tree = {make_tuple(N, log_two, 0, 0, 0, false)};
while(!build_tree.empty()){
int n, k, level, binary, parent;
bool parent_branch;
tie(n, k, level, binary, parent, parent_branch) = *build_tree.begin();
build_tree.pop_front();
switches++;
X.push_back(0);
Y.push_back(0);
if(!parent_branch){
X[parent - 1] = -(switches);
}else{
Y[parent - 1] = -(switches);
}
if(k == 1){
*output = make_tuple(switches, true, binary + (1 << level));
output++;
if(n == 1){
X[switches - 1] = -1;
}else{
*output = make_tuple(switches, false, binary);
output++;
}
}else{
if(n <= 1 << (k - 1)){
X[switches - 1] = -1;
build_tree.push_front(make_tuple(n, k - 1, level + 1, binary + (1 << level), switches, true));
}else{
build_tree.push_front(make_tuple(n - (1 << (k - 1)), k - 1, level + 1, binary, switches, false));
build_tree.push_front(make_tuple(1 << (k - 1), k - 1, level + 1, binary + (1 << level), switches, true));
}
}
}
auto compare = [](tuple<int, bool, int> a, tuple<int, bool, int> b){
return get<2>(a) < get<2>(b);
};
sort(outputs.begin(), outputs.end(), compare);
A.push_back(0);
for(int i = 0; i < N; i++){
if(!get<1>(outputs[i])){
X[get<0>(outputs[i]) - 1] = A[i + 1];
}else{
Y[get<0>(outputs[i]) - 1] = A[i + 1];
}
}
answer(C, X, Y);
}
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