Submission #206555

#TimeUsernameProblemLanguageResultExecution timeMemory
206555wiwihoChecker (COCI19_checker)C++14
110 / 110
471 ms51828 KiB
//#define NDEBUG

#include <bits/stdc++.h>
#include <bits/extc++.h>

#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define mp(a, b) make_pair(a, b)
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define pob pop_back()
#define pof pop_front()
#define F first
#define S second
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
    if(pvaspace) b << " "; pvaspace=true;\
    b << pva;\
}\
b << "\n";}
#define pii pair<int, int>
#define pll pair<ll, ll>
#define tiii tuple<int, int, int>
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define iceil(a, b) ((a) / (b) + !!((a) % (b)))

//#define TEST

typedef long long ll;
typedef unsigned long long ull;

using namespace std;
using namespace __gnu_pbds;

const ll MOD = 1000000007;
const ll MAX = 2147483647;

template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
    return o << '(' << p.F << ',' << p.S << ')';
}


int main(){
    StarBurstStream

    string nos = "neispravna triangulacija\n";
    string nop = "neispravno bojenje\n";
    string isp = "tocno\n";

    int T;
    cin >> T;

    int n;
    cin >> n;

    string s;
    cin >> s;

    vector<map<int, int>> g(n + 1);

    vector<int> deg(n + 1);
    for(int i = 1; i <= n; i++){
        int j = i + 1 > n ? 1 : i + 1;
        g[i][j] = s[i - 1] - '0';
        g[j][i] = s[i - 1] - '0';
        deg[i]++;
        deg[j]++;
    }

    for(int i = 0; i < n - 3; i ++){
        int u, v, c;
        cin >> u >> v >> c;
        if(g[u].find(v) != g[u].end()) return cout << nos, 0;
        deg[u]++; deg[v]++;
        g[u][v] = c;
        g[v][u] = c;
    }

    queue<int> q;
    vector<bool> no(n + 1);
    int cnt = 0;

    for(int i = 1; i <= n; i++) if(deg[i] == 2) q.push(i);

    int ans = 2;
    while(!q.empty()){
//        cerr << "test\n";
        if(cnt == n - 2) break;
        int now = q.front();
//        cerr << now << "\n";
        q.pop();
        no[now] = true;

        if(deg[now] != 2){
            ans = 0;
            break;
        }

        vector<int> v;
        for(pii i : g[now]){
//            cerr << "test " << i << "\n";
            if(!no[i.F]) v.eb(i.F);
        }

//        printv(v, cerr);

        if(g[v[0]].find(v[1]) == g[v[0]].end()){
            ans = 0;
            break;
        }

        if(g[v[0]][v[1]] == g[now][v[0]] || g[v[0]][v[1]] == g[now][v[1]] || g[now][v[0]] == g[now][v[1]]){
            ans = 1;
        }

        deg[v[0]]--; deg[v[1]]--;
        if(deg[v[0]] == 2) q.push(v[0]);
        if(deg[v[1]] == 2) q.push(v[1]);

        cnt++;
//        cerr << "test\n";

    }

    int tmp = 0;
    for(int i = 1; i <= n; i++) if(!no[i]) tmp++;

    if(tmp != 2) ans = 0;

    if(ans == 0) cout << nos;
    else if(ans == 1) cout << nop;
    else cout << isp;

    return 0;
}
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