This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define pb push_back
#define LL long long
#define Kultivator ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
const LL Mxn = 1e6 + 7;
const LL Mod = 1e9 + 7;
const LL Inf = 1e14 + 7;
int N, K, T, Cnt;
vector <int> tran, Ans;
bool Used[Mxn];
int bom(string S){
int Ans = 0;
for(int i = S.size() - 1; i >= 0; i--){
Ans += ((S[i] - '0') << i);
}
return Ans;
}
string rev(int V){
string Ans = "";
while(V > 0){
Ans += ((V % 2) + '0');
V /= 2;
}
int P = Ans.size();
for(int i = 0; i < N - P; i++){
Ans.pb('0');
}
reverse(Ans.begin(), Ans.end());
return Ans;
}
void Solve(int X){
Used[X] = true;
Ans.pb(X);
Cnt++;
if(Cnt == (1 << N)){
cout << Ans.size() << '\n';
for(int i : Ans){
cout << rev(i) << '\n';
}
exit(0);
}
for(int i : tran){
if(!Used[i ^ X]){
Solve(i ^ X);
}
}
}
int main() {
Kultivator;
string S;
cin >> N >> K >> T >> S;
if(K % 2 == 0) return cout << -1, 0;
for(int mask = 0; mask < (1 << N); mask++){
if(__builtin_popcount(mask) == K){
tran.pb(mask);
}
}
Solve(bom(S));
}
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