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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n,k,t; cin >> n >> k >> t;
string s; cin >> s;
if(!(k&1)){
cout << -1 << endl;
return;
}
vector<string> ans;
if(k == 1){
ans = {"00","01","11","10"};
}
else if(k == 3){
ans = {
"0000","1101","0011","1110",
"0101","1011","0110","1000",
"1111","0010","1100","0001",
"1010","0100","1001","0111"
};
}
auto f = [&](string s1, string s2){
ll diff = 0;
rep(i,sz(s1)){
diff += s1[i]!=s2[i];
}
return diff;
};
for(int i = k+2; i <= n; ++i){
if(k == 1){
auto ans2 = ans;
trav(t,ans2) t = "0"+t;
reverse(all(ans));
trav(t,ans) ans2.pb("1"+t);
ans = ans2;
conts;
}
auto ans2 = ans;
trav(t,ans2) t = "0"+t;
ll ind = -1;
rep1(j,sz(ans)-1){
if(f(ans[j],ans.back()) == k-1 and f(ans[j-1],ans[0]) == k-1){
ind = j;
break;
}
}
assert(ind != -1);
ll times = 0;
for(int i = ind; ; i = (i+1)%sz(ans)){
if(i == ind) times++;
if(times == 2) break;
auto t = ans[i];
t = "1"+t;
ans2.pb(t);
}
ans = ans2;
assert(f(ans[0],ans.back()) == k);
}
rep(i,sz(ans)-1){
assert(f(ans[i],ans[i+1]) == k);
}
cout << (1<<n) << endl;
trav(x,ans) cout << x << endl;
/*
ll n = 8, k = 2;
vector<ll> a(n);
iota(all(a),0);
do{
bool ok = true;
rep(i,n-1){
ll xo = a[i]^a[i+1];
if(setbits(xo) != k){
ok = false;
break;
}
}
if(ok){
debug(a);
}
} while(next_permutation(all(a)));
*/
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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