#include <bits/stdc++.h>
using namespace std;
#define pii pair<int, int>
const int nx = 1e6+5;
const int INF = 1e9;
int n, m, coin[nx];
vector<int> dist(nx);
vector<pii> adj[nx];
priority_queue<pii, vector<pii>, greater<pii>> pq;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin >> n >> m;
for(int i=1;i<=n;i++) cin >> coin[i];
for(int i=1;i<=m;i++)
{
int u, v, w;
cin >> u >> v >> w;
adj[u].push_back({v, w});
adj[v].push_back({u, w});
}
for(int i=1;i<=n;i++)
{
dist[i] = -coin[i];
pq.push({dist[i], i});
}
while(!pq.empty())
{
auto [cw, u] = pq.top();
pq.pop();
// cout << "cw : " << cw << " u : " << u << '\n';
for(auto [v, nw] : adj[u])
{
if(dist[v] > dist[u] + nw)
{
// cout << "v : " << v << '\n';
// cout << "dist[v] : " << dist[v] << " dist[u] + nw : " << dist[u] + nw << '\n';
dist[v] = dist[u] + nw;
pq.push({dist[v], v});
}
}
}
for(int i=1;i<=n;i++)
cout << -dist[i] << '\n';
return 0;
}
