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;
typedef long long ll;
#define pb push_back
#define sz(x) (int)(x.size())
#define itr(x) x.begin(), x.end()
#define prv(x) for(auto& i : x) cout << i << " "; cout << "\n";
#ifdef LOCAL
#define debug(...) cerr << #__VA_ARGS__ << " : "; for(auto& i : {__VA_ARGS__}) cerr << i << " "; cerr << "\n";
#else
#define debug(...)
#endif
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, t;
cin >> t >> n;
string s;
cin >> s;
vector<array<int,2>> nxt(n);
for(int i = 0; i < n; i++) {
nxt[i] = {(i + 1) % n, s[i] - '0'};
}
vector<array<int,3>> E(n - 3);
for(int i = 0; i < n - 3; i++) {
cin >> E[i][0] >> E[i][1] >> E[i][2];
E[i][0]--; E[i][1]--;
if((E[i][1] - E[i][0] + n) % n > (E[i][0] - E[i][1] + n) % n){
swap(E[i][0], E[i][1]);
}
}
sort(itr(E), [&](auto& a, auto& b) {
return (a[1] - a[0] + n) % n < (b[1] - b[0] + n) % n;
});
int triged = 1, colored = 1;
for(auto& e : E) {
if(nxt[e[0]][0] == -1 || nxt[nxt[e[0]][0]][0] != e[1]) {
triged = 0;
break;
}
if(e[2] ^ nxt[e[0]][1] ^ nxt[nxt[e[0]][0]][1]) {
colored = 0;
}
nxt[nxt[e[0]][0]] = {-1, 0};
nxt[e[0]] = {e[1], e[2]};
}
int xr = 0;
for(int i = 0; i < n; i++) {
xr ^= nxt[i][1];
}
colored &= (xr == 0);
if(!triged) {
cout << "neispravna triangulacija\n";
} else if(!colored) {
cout << "neispravno bojenje\n";
} else {
cout << "tocno\n";
}
}
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