#include "transfer.h"
#include <bits/stdc++.h>
using namespace std;
std::vector<int> get_attachment(std::vector<int> source) {
	int N = (int)source.size();
	vector<int> send = source;
	int b = 0;
	while((1 << b) <= (N+1)) ++b;
	vector<int> parity(b);
	// cout << b << '\n';
	for(int i = 0; i < N; ++i) if(source[i] == 0){
		for(int j = 0; j < b; ++j) if((i+1) >> j & 1) parity[j] ^= 1;
	}
	// for(auto it : send) cout << it; cout << '\n';
	return parity;
}
std::vector<int> retrieve(std::vector<int> data) {
	int L = (int)data.size();
	//L = N + 32 - __builtin_clz(N)
	// for(auto it : data) cout << it; cout << '\n';
	int N = -1, b = -1;
	for(int i = 1; i < L; ++i){
		int nbit = 0;
		while((1 << nbit) <= i+1) ++nbit;
		if(i + nbit == L){
			N = i;
			b = nbit;
			break;
		}
	}
	assert(N != -1);
	vector<int> cur(b), fix(data.begin() + N, data.end());
	vector<int> receive(data.begin(), data.begin() + N);
	for(int i = 0; i < N; ++i) if(data[i] == 0){
		for(int j = 0; j < b; ++j) if((i+1) >> j & 1) cur[j] ^= 1;
	}
	assert((int)cur.size() == (int)fix.size());
	int changed = 0;
	for(int i = 0; i < b; ++i){
		if(cur[i] != fix[i]) changed |= (1 << i);
	}
	if(changed != 0){
		receive[changed-1] ^= 1;
	}
	return receive;
}
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