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#include <fstream>
#include <queue>
#include <vector>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
const int INF = 0x3f3f3f3f, MAXN = 5005;
int vertexCount, arcCount;
int dist[MAXN], viz[MAXN];
struct comparator {
bool operator()(int a, int b) {
return dist[a] > dist[b];
}
};
priority_queue <int, vector<int>, comparator> heap;
struct arc {
int link, cost;
};
vector<arc> graph[MAXN];
void input() {
fin >> vertexCount >> arcCount;
int from, to, cost;
for (int i = 1; i <= arcCount; i++)
{
fin >> from >> to >> cost;
graph[from].push_back({ to,cost });
}
}
void dijkstra(int node) {
for (arc ARC : graph[node]) {
if (dist[ARC.link] > ARC.cost + dist[node]) {
dist[ARC.link] = ARC.cost + dist[node];
heap.push(ARC.link);
}
}
}
void output()
{
for (int i = 2; i <= vertexCount; i++)
{
if (dist[i] == INF)
dist[i] = 0;
fout << dist[i];
}
}
int main() {
input();
memset(dist, INF, sizeof(dist));
dist[1] = 0;
heap.push(1);
while (!heap.empty()) {
dijkstra(heap.top());
heap.pop();
}
output();
return 0;
}