#include <iostream>
#include <limits>
#include <bitset>
#include <type_traits>
using namespace std;
 
template <typename T>
void printBitRepresentation(T x) {
	using unsignedT = typename std::make_unsigned<T>::type;
	auto value = static_cast<unsignedT>(x);
	cout << bitset<numeric_limits<unsignedT>::digits>(value) << endl; 
}
 
template <typename T>
T getNextHigherNumberContainingEqualSetBits(T x) {
	if (x == 0) return 0;
	T a = x & -x;
	T b = a + x;
	T r = b | (((x ^ b) >> 2) / a);
	return r;
}
template <typename T>
void generateAllSubsets(T start) {
	printBitRepresentation(start);
	for (auto cur = getNextHigherNumberContainingEqualSetBits(start); cur > start; cur = getNextHigherNumberContainingEqualSetBits(cur))
		printBitRepresentation(cur);
}
 
int main() {
	const auto bitsize = numeric_limits<unsigned int>::digits;
	generateAllSubsets((1u << (bitsize-1)) - 1);
	return 0;
}

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