Submission #230143

#TimeUsernameProblemLanguageResultExecution timeMemory
230143xiaowuc1Walk (POI13_spa)C++14
100 / 100
2961 ms53624 KiB
#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[1000001];
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 <= 1000000; i++) {
    for(int j = 0; j < n && allsz <= 1000000; 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 <= 1000000;
}
void solve() {
  cin >> n >> k;
  ll src = parse();
  ll snk = parse();
  bad.reserve(k);
  s.reserve(1000001);
  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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