#include <set>
#include <map>
#include <cmath>
#include <queue>
#include <deque>
#include <stack>
#include <math.h>
#include <bitset>
#include <vector>
#include <string>
#include <cstdio>
#include <cctype>
#include <numeric>
#include <fstream>
#include <sstream>
#include <cstdlib>
#include <iomanip>
#include <cassert>
#include <cstring>
#include <stdio.h>
#include <string.h>
#include <iterator>
#include <iostream>
#include <algorithm>
#include <strings.h>
#include <functional>
#include <unordered_set>
#include <unordered_map>
#define fore(i, a, b) for (int i = (a), i##_last = (b); i < i##_last; ++i)
#define fort(i, a, b) for (int i = (a), i##_last = (b); i <= i##_last; ++i)
#define ford(i, a, b) for (int i = (a), i##_last = (b); i >= i##_last; --i)
#define fi first
#define se second
#define pb push_back
#define double long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
using namespace std;
using ll = long long;
template<class A, class B> bool maxi(A &a, const B &b) {return (a < b) ? (a = b, true):false;};
template<class A, class B> bool mini(A &a, const B &b) {return (a > b) ? (a = b, true):false;};
typedef unsigned long long ull;
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<vi> vvi;
typedef vector<vii> vvii;
constexpr int MAX_N = 2E5 + 5;
int N, T;
string c;
vector<int> g[MAX_N];
map<pair<int, int>, int> f;
bool isInOrder(const int l, const int m, const int r) {
if (l < r)
return l <= m && m <= r;
if (l > r)
return l <= m || m <= r;
return l == m;
}
int getNext(const int x) {
return x == N ? 1 : (x + 1);
}
int getPrevious(const int x) {
return x == 1 ? N : (x - 1);
}
void addSide(const int x, const int y, const int c) {
g[x].push_back(y);
g[y].push_back(x);
f[make_pair(x, y)] = f[make_pair(y, x)] = c;
}
bool checkTriangulation() {
/**
Choose any diagonal and split the polygon
then there should be no diagonal from one of two new polygons
that go outside
Implementation
Iterate from 1 to N
and consider sides
if the index of vertex is smaller than the current one then
it is one of the edges considered earlier and
there is no need to consider it in this and later iterations
therefore we can ignore it
otherwise
it is one of new boundary (the diagonal along which we have to cut)
that we must consider
To store the currently considered boundaries, we can use stack (last-in first-out)
as the boundaries we start considering later should be removed/ignored earlier
**/
if (f.size() != 4 * N - 6)
return false;
stack<int> p;
fort(x, 1, N) {
ford(i, sz(g[x]) - 1, 0) {
const int &y = g[x][i];
if (y < x) {
p.pop();
continue;
}
if (!p.empty() && p.top() < y)
return false;
p.push(y);
}
}
return true;
}
bool checkPatriotic() {
/**
Sort the adjacent vertices
and check the color
**/
fort(x, 1, N)
fore(i, 1, sz(g[x])) {
const int &y = g[x][i],
&z = g[x][i - 1],
&a = f[make_pair(x, y)],
&b = f[make_pair(x, z)],
&c = f[make_pair(y, z)];
if (a == b || b == c || a == c)
return false;
}
return true;
}
signed main() {
#ifdef LOCAL
freopen("input.INP", "r", stdin);
#endif // LOCAL
cin.tie(0) -> sync_with_stdio(0);
cout.tie(0);
cin >> T >> N >> c;
fort(x, 1, N)
addSide(x, getNext(x), c[x - 1] - '0');
for (int e = N - 3, X, Y, C; e > 0; --e) {
cin >> X >> Y >> C;
addSide(X, Y, C);
}
fort(x, 1, N)
sort(all(g[x]), [&](const int &l, const int &r) -> bool {
const bool u = (x < l), v = (x < r);
if (u != v)
return u;
return l < r;
});
if (!checkTriangulation()) {
puts("neispravna triangulacija");
return 0;
}
if (!checkPatriotic()) {
puts("neispravno bojenje");
return 0;
}
puts("tocno");
return 0;
}
Compilation message
checker.cpp: In function 'bool checkTriangulation()':
checker.cpp:104:18: warning: comparison of integer expressions of different signedness: 'std::map<std::pair<int, int>, int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
104 | if (f.size() != 4 * N - 6)
| ~~~~~~~~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4944 KB |
Output is correct |
2 |
Correct |
2 ms |
4944 KB |
Output is correct |
3 |
Correct |
2 ms |
4944 KB |
Output is correct |
4 |
Correct |
2 ms |
4944 KB |
Output is correct |
5 |
Correct |
2 ms |
4944 KB |
Output is correct |
6 |
Correct |
2 ms |
4944 KB |
Output is correct |
7 |
Correct |
2 ms |
4944 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4944 KB |
Output is correct |
2 |
Correct |
2 ms |
4944 KB |
Output is correct |
3 |
Correct |
2 ms |
4944 KB |
Output is correct |
4 |
Correct |
2 ms |
4944 KB |
Output is correct |
5 |
Correct |
2 ms |
4944 KB |
Output is correct |
6 |
Correct |
2 ms |
4944 KB |
Output is correct |
7 |
Correct |
2 ms |
4944 KB |
Output is correct |
8 |
Correct |
5 ms |
5712 KB |
Output is correct |
9 |
Correct |
5 ms |
5712 KB |
Output is correct |
10 |
Correct |
4 ms |
5712 KB |
Output is correct |
11 |
Correct |
4 ms |
5712 KB |
Output is correct |
12 |
Correct |
4 ms |
5712 KB |
Output is correct |
13 |
Correct |
4 ms |
5712 KB |
Output is correct |
14 |
Correct |
4 ms |
5544 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
651 ms |
67812 KB |
Output is correct |
2 |
Correct |
670 ms |
64724 KB |
Output is correct |
3 |
Correct |
444 ms |
66396 KB |
Output is correct |
4 |
Correct |
438 ms |
67716 KB |
Output is correct |
5 |
Correct |
502 ms |
67740 KB |
Output is correct |
6 |
Correct |
736 ms |
62676 KB |
Output is correct |
7 |
Correct |
715 ms |
65980 KB |
Output is correct |
8 |
Correct |
484 ms |
64452 KB |
Output is correct |
9 |
Correct |
485 ms |
62432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
736 ms |
64844 KB |
Output is correct |
2 |
Correct |
705 ms |
66516 KB |
Output is correct |
3 |
Correct |
610 ms |
67880 KB |
Output is correct |
4 |
Correct |
556 ms |
64724 KB |
Output is correct |
5 |
Correct |
524 ms |
64660 KB |
Output is correct |
6 |
Correct |
713 ms |
63156 KB |
Output is correct |
7 |
Correct |
738 ms |
66276 KB |
Output is correct |
8 |
Correct |
536 ms |
63172 KB |
Output is correct |
9 |
Correct |
517 ms |
65988 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4944 KB |
Output is correct |
2 |
Correct |
2 ms |
4944 KB |
Output is correct |
3 |
Correct |
2 ms |
4944 KB |
Output is correct |
4 |
Correct |
2 ms |
4944 KB |
Output is correct |
5 |
Correct |
2 ms |
4944 KB |
Output is correct |
6 |
Correct |
2 ms |
4944 KB |
Output is correct |
7 |
Correct |
2 ms |
4944 KB |
Output is correct |
8 |
Correct |
5 ms |
5712 KB |
Output is correct |
9 |
Correct |
5 ms |
5712 KB |
Output is correct |
10 |
Correct |
4 ms |
5712 KB |
Output is correct |
11 |
Correct |
4 ms |
5712 KB |
Output is correct |
12 |
Correct |
4 ms |
5712 KB |
Output is correct |
13 |
Correct |
4 ms |
5712 KB |
Output is correct |
14 |
Correct |
4 ms |
5544 KB |
Output is correct |
15 |
Correct |
651 ms |
67812 KB |
Output is correct |
16 |
Correct |
670 ms |
64724 KB |
Output is correct |
17 |
Correct |
444 ms |
66396 KB |
Output is correct |
18 |
Correct |
438 ms |
67716 KB |
Output is correct |
19 |
Correct |
502 ms |
67740 KB |
Output is correct |
20 |
Correct |
736 ms |
62676 KB |
Output is correct |
21 |
Correct |
715 ms |
65980 KB |
Output is correct |
22 |
Correct |
484 ms |
64452 KB |
Output is correct |
23 |
Correct |
485 ms |
62432 KB |
Output is correct |
24 |
Correct |
736 ms |
64844 KB |
Output is correct |
25 |
Correct |
705 ms |
66516 KB |
Output is correct |
26 |
Correct |
610 ms |
67880 KB |
Output is correct |
27 |
Correct |
556 ms |
64724 KB |
Output is correct |
28 |
Correct |
524 ms |
64660 KB |
Output is correct |
29 |
Correct |
713 ms |
63156 KB |
Output is correct |
30 |
Correct |
738 ms |
66276 KB |
Output is correct |
31 |
Correct |
536 ms |
63172 KB |
Output is correct |
32 |
Correct |
517 ms |
65988 KB |
Output is correct |
33 |
Correct |
634 ms |
66516 KB |
Output is correct |
34 |
Correct |
615 ms |
66516 KB |
Output is correct |
35 |
Correct |
456 ms |
64820 KB |
Output is correct |
36 |
Correct |
450 ms |
66552 KB |
Output is correct |
37 |
Correct |
499 ms |
66452 KB |
Output is correct |
38 |
Correct |
495 ms |
67872 KB |
Output is correct |
39 |
Correct |
489 ms |
64724 KB |
Output is correct |
40 |
Correct |
707 ms |
62720 KB |
Output is correct |
41 |
Correct |
697 ms |
63024 KB |
Output is correct |
42 |
Correct |
510 ms |
62548 KB |
Output is correct |
43 |
Correct |
563 ms |
62916 KB |
Output is correct |