import java.io.*; import java.util.*; import java.util.stream.*; public class Main { public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); int n = sc.nextInt(); int m = sc.nextInt(); ArrayList> graph = new ArrayList<>(); for (int i = 0; i < n; i++) { graph.add(new ArrayList<>()); } for (int i = 0; i < m; i++) { int a = sc.nextInt() - 1; int b = sc.nextInt() - 1; int c = sc.nextInt(); graph.get(a).add(new Path(b, c)); graph.get(b).add(new Path(a, c)); } PriorityQueue queue = new PriorityQueue<>(); queue.add(new Path(0, 1, 0)); queue.add(new Path(0, 0, 0)); long[][] costs = new long[2][n]; for (long[] arr : costs) { Arrays.fill(arr, Long.MAX_VALUE); } while (queue.size() > 0) { Path p = queue.poll(); if (costs[p.type][p.idx] <= p.value) { continue; } costs[p.type][p.idx] = p.value; for (Path x : graph.get(p.idx)) { queue.add(new Path(x.idx, p.type, x.value + p.value)); if (p.type == 0) { queue.add(new Path(x.idx, 1, p.value)); } } } StringBuilder sb = new StringBuilder(); for (int i = 0; i < n; i++) { sb.append(costs[0][i] + costs[1][i]).append("\n"); } System.out.print(sb); } static class Path implements Comparable { int idx; int type; long value; public Path(int idx, int type, long value) { this.idx = idx; this.type = type; this.value = value; } public Path(int idx, long value) { this(idx, 0, value); } public int compareTo(Path another) { if (value == another.value) { return 0; } else if (value < another.value) { return -1; } else { return 1; } } } } class Utilities { static String arrayToLineString(Object[] arr) { return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n")); } static String arrayToLineString(int[] arr) { return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new)); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); StringBuilder sb = new StringBuilder(); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public double nextDouble() throws Exception { return Double.parseDouble(next()); } public int[] nextIntArray() throws Exception { return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray(); } public String next() throws Exception { while (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }