Cod sursa(job #3328046)

Utilizator Roberto_CChirvasitu Roberto Roberto_C Data 5 decembrie 2025 23:59:29
Problema Distante Scor 0
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 2.09 kb
#include <bits/stdc++.h>
using namespace std;

const int NMAX = 50000;
const long long INF = 2e18;

int t,n,m,s;
long long dist[NMAX+1];
vector<pair<int,int>>v[NMAX+1];
long long dist_azorel[NMAX+1];

void dijkstra(int nod)
{
    for (int i = 1; i <= n; i++)
        dist[i] = INF;
    dist[nod] = 0;
    set<pair<long long,int>>s;
    s.insert({0,nod});
    while (!s.empty())
    {
        int nod_curr = (*s.begin()).second;
        long long cost_curr = (*s.begin()).first;
        s.erase(s.begin());

        if (cost_curr != dist[nod_curr])continue;

        for (pair<int,int> i : v[nod_curr])
        {
            int nod_urm = i.first;
            int cost_urm = i.second;

            if (dist[nod_curr] + cost_urm < dist[nod_urm])
            {
                auto it = s.find({dist[nod_urm],nod_urm});
                dist[nod_urm] = dist[nod_curr] + cost_urm;
                if (it != s.end())s.erase(it);
                s.insert({dist[nod_urm],nod_urm});
            }
        }
    }
}

void solve()
{
    cin >> n >> m >> s;
    for (int i = 1; i <= n; i++)
        v[i].clear(),dist[i] = INF;
    for (int i = 1; i <= n; i++)
        cin >> dist_azorel[i];
    for (int i = 1; i <= m; i++)
    {
        int st,dr,c;
        cin >> st >> dr >> c;
        v[st].push_back({dr,c});
        v[dr].push_back({st,c});
    }
    dijkstra(s);
    for (int i = 1; i <= n; i++)
    {
        if (i == s)
        {
            if (dist_azorel[i] != 0)
            {
                cout << "NU\n";
                return;
            }
        }
        else if (dist[i] == INF)
        {
            if (dist_azorel[i] != 0)
            {
                cout << "NU\n";
                return;
            }
        }
        else
        {
            if (dist[i] != dist_azorel[i])
            {
                cout << "NU\n";
                return;
            }
        }
    }
    cout << "DA\n";
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> t;
    while (t--)
        solve();
    return 0;
}