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;
const int MAXN = 2e5 + 10;
const int MOD = 1e9 + 7;
#define int long long
#define ll __int128
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
ll read() { // read int128
int x; cin >> x; return (ll)x;
}
long long bm(long long b, long long p) {
if(p==0) return 1 % MOD;
long long r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
long long inv(long long b) {
return bm(b, MOD-2);
}
long long f[MAXN];
long long nCr(int n, int r) {
long long ans = f[n]; ans *= inv(f[r]); ans %= MOD;
ans *= inv(f[n-r]); ans %= MOD; return ans;
}
void precomp() {
for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD);
}
void solve(int tc) {
int n, k, t;
cin >> n >> k >> t;
string s;
cin >> s;
vector<int> ans;
int xorsum = 0;
ans.push_back(0);
vector<int> tog;
int cur = (1<<k) - 1;
for(int i=1; i<=n; i++) {
tog.push_back(cur);
if(cur >= (1 << (n-1))) {
cur -= (1 << (n-1));
cur <<= 1;
cur += 1;
}
else {
cur <<= 1;
}
}
for(int i=1; i<(1<<n); i++) {
xorsum ^= tog[(int)log2(i & -i)];
ans.push_back(xorsum);
//cout << tog[(int)log2(i & -i)] << ' ';
//if(i % 8 == 0) cout << '\n';
}
//cout << '\n';
//cout << "tog[]: ";
//for(int i=0; i<n; i++) cout << tog[i] << ' ';
//cout << '\n';
//freopen("uwu.txt", "w", stdout);
if(n % k == 0 && k > 1) {
cout << "-1\n";
return;
}
if(k % 2 == 0) {
cout << "-1\n";
return;
}
cout << (1<<n) << '\n';
int pos;
int val = 0;
for(int i=0; i<s.size(); i++) {
val *= 2;
val += (s[i] == '1');
}
for(int i=0; i<ans.size(); i++) {
if(ans[i] == val) pos = i;
}
for(int i=pos; i<pos+ans.size(); i++) {
//cout << ans[i % (1<<n)] << "\n";
//continue;
for(int j=n-1; j>=0; j--) {
if(ans[i % (1<<n)] & (1<<j)) cout << "1";
else cout << "0";
}
cout << '\n';
}
}
int32_t main(){
precomp();
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
/*
17 3 0 0000
7 14 19 25 28
7 14 7 19 7 14 7 25
7 14 7 19 7 14 7 28
7 14 7 19 7 14 7 25
7 14 7 19 7 14 7
0
7
12
11
6
1
10
13
3
4
15
8
5
2
9
14
7
12
1
15
8
3
14
0
7
12
1
15
8
3
14
7 (0111)
13 (1101)
11 (1011)
7 (0111)
14 (1110)
13 (1101)
14 (1110)
7 (0111)
14 (1110)
13 (1101)
11 (1011)
13 (1101)
7 (0111)
13 (1101)
14 (1110)
*/
Compilation message (stderr)
lyuboyn.cpp: In function 'void solve(long long int)':
lyuboyn.cpp:74:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
74 | for(int i=0; i<s.size(); i++) {
| ~^~~~~~~~~
lyuboyn.cpp:78:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
78 | for(int i=0; i<ans.size(); i++) {
| ~^~~~~~~~~~~
lyuboyn.cpp:81:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'long long unsigned int' [-Wsign-compare]
81 | for(int i=pos; i<pos+ans.size(); i++) {
| ~^~~~~~~~~~~~~~~
lyuboyn.cpp:81:20: warning: 'pos' may be used uninitialized in this function [-Wmaybe-uninitialized]
81 | for(int i=pos; i<pos+ans.size(); i++) {
| ^~~
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