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;
using ll = long long;
int N, K;
ll x, y;
unordered_set<ll> forbidden;
bool graphSearch(ll s, ll d, int cnt) {
unordered_set<ll> vis;
queue<ll> Q;
Q.emplace(s);
vis.insert(s);
--cnt;
while(!Q.empty()) {
ll v = Q.front();
Q.pop();
for(int i = 0; i < N; ++i) {
ll next = v ^ (1LL << i);
if(next == d)
return true;
if(!forbidden.count(next) && !vis.count(next)) {
--cnt;
if(cnt == 0)
return true;
Q.emplace(next);
vis.insert(next);
}
}
}
return false;
}
bool solve(ll s, ll d) {
int bound = 1e6;
bool a = graphSearch(s, d, bound),
b = graphSearch(d, s, bound);
return a && b;
}
ll readBin() {
string s;
cin >> s;
ll nr = 0;
for(int i = N - 1; i >= 0; --i)
if(s[i] == '1')
nr += (1LL << (N - i - 1));
return nr;
}
void read() {
cin >> N >> K;
x = readBin(), y = readBin();
for(int i = 0; i < K; ++i) {
ll a;
a = readBin();
forbidden.insert(a);
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
read();
if(solve(x, y))
cout << "TAK";
else
cout << "NIE";
}
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