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 <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_set>
#include <vector>
using namespace std;
// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define derr if(1) cerr
typedef vector<int> vi;
// END NO SAD
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<vector<ll>> matrix;
typedef pair<int, pii> state;
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
ll parse() {
string s;
cin >> s;
ll ret = 0;
for(int i = 0; i < sz(s); i++) {
ret <<= 1;
ret |= s[i] == '1';
}
return ret;
}
vector<ll> bad;
int n, k;
unordered_set<ll, custom_hash> s;
ll all[5000001];
bool done = false;
bool finite(ll src, ll snk) {
s.clear();
int allsz = 0;
all[allsz++] = src;
s.insert(src);
for(int i = 0; i < allsz && allsz <= n*k; i++) {
for(int j = 0; j < n; j++) {
ll curr = all[i] ^ (1LL << j);
if(s.count(curr)) continue;
auto it = lower_bound(all(bad), curr);
if(it != bad.end() && *it == curr) continue;
s.insert(curr);
all[allsz++] = curr;
}
}
if(s.count(snk)) done = true;
return !s.count(snk) && allsz <= n*k;
}
void solve() {
cin >> n >> k;
ll src = parse();
ll snk = parse();
bad.reserve(k);
s.reserve(n*k+n+1);
for(int i = 0; i < k; i++) {
bad.push_back(parse());
}
sort(all(bad));
if(finite(src, snk)) {
cout << "NIE\n";
return;
}
if(!done && finite(snk, src)) {
cout << "NIE\n";
return;
}
cout << "TAK\n";
}
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
solve();
}
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