import std.conv, std.functional, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }


enum INF = 10L^^18;

int N, M;
int[] A, B;
long[] C;

void main() {
  try {
    for (; ; ) {
      N = readInt();
      M = readInt();
      A = new int[M];
      B = new int[M];
      C = new long[M];
      foreach (i; 0 .. M) {
        A[i] = readInt() - 1;
        B[i] = readInt() - 1;
        C[i] = readLong();
      }
      
      auto graph = new int[][N];
      foreach (i; 0 .. M) {
        graph[A[i]] ~= i;
        graph[B[i]] ~= i;
      }
      
      alias Node = Tuple!(long, int, int);
      auto q = BinaryHeap!(Array!Node)();
      auto dist = new long[][](N, 2);
      foreach (u; 0 .. N) {
        dist[u][] = INF;
      }
      dist[0][0] = 0;
      q.insert(Node(0, 0, 0));
      for (; !q.empty; ) {
        const c = q.front[0];
        const u = q.front[1];
        const x = q.front[2];
        q.removeFront;
        if (dist[u][x] == c) {
          foreach (i; graph[u]) {
            const v = A[i] ^ B[i] ^ u;
            foreach (dx; 0 .. 2) {
              const xx = x + dx;
              if (xx < 2) {
                const cc = c + (dx ? 0 : C[i]);
                if (chmin(dist[v][xx], cc)) {
                  q.insert(Node(cc, v, xx));
                }
              }
            }
          }
        }
      }
      foreach (u; 0 .. N) {
        writeln(dist[u][0] + min(dist[u][0], dist[u][1]));
      }
    }
  } catch (EOFException e) {
  }
}