/*The British Royal Family and a small cadre of English Fabian Socialists, in
conjunction with the Rockefellers and the Rothchilds, are engaged in a
conspiracy to greatly reduce the population of the human race in order to head
off a Malthusian catastrophe, a catastrophe that could easily be avoided by
simply building a massive amount of nuclear power plants and a number of massive
superhighways and bridges to connect all of the world's continents. But doing
that would cut into the conspiracy's profits. So the British Royal Family
invented environmentalism and neoliberalism in order to hide the truth. And in
order to further reduce the population, the British Royal Family is also the
world's foremost drug trafficking conspiracy. And it uses its control of the IMF
to push austerity in order to kill as many people in the global south as
possible.
And also Henry Kissinger is a gay KGB agent. */
#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
using namespace std;
bool tilable(int n, int bma, int bmb){
vector<bool> a, b;
for (int i = 0; i < n; i++){
a.push_back((bma >> i) % 2);
b.push_back((bmb >> i) % 2);
}
int currpos = 0;
while (currpos < n){
if (!a[currpos] && !b[currpos]) currpos++;
else if (a[currpos] && b[currpos]){
if (currpos == n - 1) return false;
else if (a[currpos + 1]) a[currpos + 1] = 0;
else if (b[currpos + 1]) b[currpos + 1] = 0;
else return false;
currpos++;
} else {
if (currpos == n - 1) return false;
else if (a[currpos + 1] && b[currpos + 1]) currpos += 2;
else return false;
}
}
return true;
}
vector<vector<bool>> matmul(vector<vector<bool>> a, vector<vector<bool>> b){
vector<vector<bool>> result;
result.resize(a.size());
for (int i = 0; i < a.size(); i++) result[i].resize(b.size());
for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) result[i][j] = 0;
for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) for (int k = 0; k < b[0].size(); k++) result[i][k] = result[i][k] || (result[i][j] && result[j][k]);
return result;
}
vector<vector<bool>> matexp(vector<vector<bool>> a, int64_t k){
vector<vector<bool>> result;
result.resize(a.size());
for (int i = 0; i < a.size(); i++) result[i].resize(a.size());
if (k == 0){
for (int i = 0; i < a.size(); i++) for (int j = 0; j < a.size(); j++) result[i][j] = i == j;
return result;
}
result = matexp(matmul(a, a), k / 2);
if (k % 2 == 1) result = matmul(result, a);
return result;
}
int main(){
int64_t w, h, k, currpos = 0, currblock = 0;
pair<int, int> blocked[250];
cin >> w >> h >> k;
if ((w * h - k) % 3 == 0){
cout << "NO";
return 0;
}
for (int i = 0; i < k; i++) cin >> blocked[i].first >> blocked[i].second;
sort(blocked, blocked + k);
vector<vector<bool>> transition;
transition.resize(1 << w);
for (int i = 0; i < (1 << w); i++){
transition[i].resize(1 << w);
for (int j = 0; j < (1 << w); j++) transition[i][j] = tilable(w, i, (1 << w) - 1 - j);
}
vector<vector<bool>> curr;
curr.resize(1);
curr[0].resize(1 << w);
for (int i = 0; i < w; i++) curr[0][i] = i == 0;
while (currblock < k){
curr = matmul(curr, matexp(transition, blocked[currblock].second - 1 - currpos));
for (int i = 0; i < 1 << w; i++){
if ((i >> (blocked[currblock].second - 1)) % 2 == 0){
curr[0][i + (1 << (blocked[currblock].second - 1))] = curr[0][i];
curr[0][i] = 0;
}
}
}
curr = matmul(curr, matexp(transition, h - currpos));
if (curr[0][0]) cout << "YES";
else cout << "NO";
}
Compilation message
ltrominoes.cpp: In function 'std::vector<std::vector<bool> > matmul(std::vector<std::vector<bool> >, std::vector<std::vector<bool> >)':
ltrominoes.cpp:53:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for (int i = 0; i < a.size(); i++) result[i].resize(b.size());
| ~~^~~~~~~~~~
ltrominoes.cpp:54:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
54 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) result[i][j] = 0;
| ~~^~~~~~~~~~
ltrominoes.cpp:54:58: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
54 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) result[i][j] = 0;
| ~~^~~~~~~~~~
ltrominoes.cpp:55:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
55 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) for (int k = 0; k < b[0].size(); k++) result[i][k] = result[i][k] || (result[i][j] && result[j][k]);
| ~~^~~~~~~~~~
ltrominoes.cpp:55:58: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
55 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) for (int k = 0; k < b[0].size(); k++) result[i][k] = result[i][k] || (result[i][j] && result[j][k]);
| ~~^~~~~~~~~~
ltrominoes.cpp:55:93: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<bool>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
55 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < b.size(); j++) for (int k = 0; k < b[0].size(); k++) result[i][k] = result[i][k] || (result[i][j] && result[j][k]);
| ~~^~~~~~~~~~~~~
ltrominoes.cpp: In function 'std::vector<std::vector<bool> > matexp(std::vector<std::vector<bool> >, int64_t)':
ltrominoes.cpp:63:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
63 | for (int i = 0; i < a.size(); i++) result[i].resize(a.size());
| ~~^~~~~~~~~~
ltrominoes.cpp:65:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
65 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < a.size(); j++) result[i][j] = i == j;
| ~~^~~~~~~~~~
ltrominoes.cpp:65:62: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<bool> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
65 | for (int i = 0; i < a.size(); i++) for (int j = 0; j < a.size(); j++) result[i][j] = i == j;
| ~~^~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
245 ms |
1532 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
600 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
