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>
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pi;
typedef vector<ll> vi;
typedef vector<pi> vpi;
#define pb emplace_back
#define mp make_pair
#define f first
#define s second
#define SZ(x) (int)x.size()
#define ALL(x) x.begin(),x.end()
#define lb lower_bound
const int MAXN=1001000;
const ll MOD=998244353;
int N,K,T;
string S;
void tobin(int y,int len){
string x;
while(y){
x+=('0' + y%2);
y/=2;
}
while(SZ(x) < len)x+='0';
reverse(ALL(x));
cout<<x;
}
vi A;
vi B;
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>N>>K>>T>>S;
if(K%2==0){
cout<<-1;
return 0;
}
ll flip=0;
if(K*2>N){
K=N-K;
flip=1;
}
ll v=0;ll k=1;
while(SZ(S)){
if(S.back() == '1')v+=k;
k*=2;
S.pop_back();
}
ll mod=(1<<(N-K+1));
// cerr<<mod<<'\n';
A.pb(v%(1<<(K-1)));
B.pb(v/(1<<(K-1)));
ll alen=(K-1);
for(int i=1;i<=(1<<alen);++i){
for(int j=0;j<mod-1;++j){
A.pb(A.back() ^ ((1<<alen)-1));
}
// flip A back
if(SZ(A) < (1<<N))A.pb(A.back() ^ (i&(-i)));
}
for(int i=1;i<=(1<<alen);++i){
for(int j=1;j<mod;++j){
B.pb(B.back() ^ (j&(-j)));
}
// flip A back
if(SZ(B) < (1<<N))B.pb(B.back() ^ ((1<<(K-1))-1));
}
cout<<(1<<N)<<'\n';
for(int i=0;i<SZ(A);++i){
if(flip&&i%2){
A[i]=((1<<(K-1))-1)^A[i];
B[i]=((1<<(N-K+1))-1)^B[i];
}
tobin(B[i],(N-K+1));
tobin(A[i],K-1);
cout<<'\n';
}
}
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