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 <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <array>
#include <algorithm>
#include <utility>
#include <map>
#include <queue>
#include <set>
#include <cmath>
#include <cstdio>
#include <cstring>
#define ll long long
#define ld long double
#define eps 1e-8
#define MOD 1000000007
#define INF 0x3f3f3f3f
#define INFLL 0x3f3f3f3f3f3f3f3f
// change if necessary
#define MAXN 1000000
using namespace std;
int n, k, t;
string s;
int start;
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> k >> t;
cin >> s;
for (int i = 0; i < n; i++) {
start += (1 << i) * (s[n - i - 1] - '0');
}
if (k % 2 == 0 || (n > 1 && k >= n)) {
cout << "-1\n";
return 0;
}
vector<int> ans = {0, 1};
for (int i = 1; i < n; i++) {
int num = 1 << i;
if (i > k) {
num += (1 << (k - 1)) - 1;
}
for (int j = (1 << i) - 1; j >= 0; j--) {
ans.push_back(ans[j] ^ num);
}
if (i == k) {
for (int j = 0; j < (1 << i); j++) {
ans[2 * j + 1] ^= (1 << (i + 1)) - 1;
}
}
}
rotate(ans.begin(), find(ans.begin(), ans.end(), start), ans.end());
cout << (1 << n) << '\n';
for (int i : ans) {
for (int j = n - 1; j >= 0; j--) {
cout << ((i & (1 << j)) > 0);
}
cout << '\n';
}
return 0;
}
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