This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
using namespace std;
#define nl '\n'
using str = string;
template<class T> using V = vector<T>;
int main() {
cin.tie(0)->sync_with_stdio(0);
int N, K, T; cin >> N >> K >> T;
str S; cin >> S;
if (K % 2 == 0) {
cout << -1 << nl;
return 0;
}
V<pair<int, int>> A;
for(int x = 0; x < (1 << N); x++) if (__builtin_popcount(x) == K) {
pair<int, int> cur = {x, x};
for(auto p : A) cur.first = min(cur.first, p.first ^ cur.first);
if (!cur.first) continue;
for(int i = 0; i <= int(size(A)); i++) if (i == int(size(A)) || cur.first > A[i].first) {
A.insert(begin(A) + i, cur);
break;
}
}
// cout << 1 << endl;
V<int> dif(1<<N);
for(int i = 0; i < N; i++) for(int j = (1 << i); j < (1 << N); j += (2 << i)) dif[j] = A[i].second;
cout << (1 << N) << nl;
for(int i = 0; i < (1 << N); i++) {
for(int j = 0; j < N; j++) if ((dif[i] >> j) & 1) S[j] = '0' + '1' - S[j];
cout << S << nl;
}
return 0;
}
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