#include<stdio.h>
#include<stdlib.h>
#include<stdint.h>
#include<inttypes.h>

typedef struct binaryHeap{
  void *array;
  size_t heap_size;
  size_t max_size;
  size_t val_size;
  int (*cmp) (const void *, const void *);
} heap;

heap* new_binary_heap (const size_t val_size, int (*cmpF) (const void *, const void *)) {
  heap *h = (heap *) calloc (1, sizeof (heap));
  h->array = malloc (val_size * (1 + 1));
  h->heap_size = 0;
  h->max_size = 1;
  h->val_size = val_size;
  h->cmp = cmpF;
  return h;
}

int is_empty (const heap *h) {
  return h->heap_size == 0;
}

void free_heap (heap *h) {
  free (h->array);
  free (h);
}

void init_heap (heap *h) {
  h->heap_size = 0;
}

static void heap_func_swap (void * restrict a, void * restrict b, size_t val_size) {
  uint8_t *p = (uint8_t *) a;
  uint8_t *q = (uint8_t *) b;
  while (val_size--) {
    uint8_t tmp = *p;
    *p++ = *q;
    *q++ = tmp;
  }
}

static void heap_func_copy (void * restrict dst, const void * restrict src, size_t val_size) {
  uint8_t *p = (uint8_t *) src;
  uint8_t *q = (uint8_t *) dst;
  while (val_size--) {
    *q++ = *p++;
  }
}

void push (heap *h, const void *val) {
  if (h->heap_size == h->max_size) {
    h->max_size = 2 * h->max_size + 1;
    h->array = realloc (h->array, h->val_size * (h->max_size + 1));
  }
  h->heap_size++;
  uint8_t *array = (uint8_t *) h->array;
  size_t k = h->heap_size;
  const size_t val_size = h->val_size;
  int (*cmp) (const void *, const void *) = h->cmp;
  heap_func_copy(array + k * val_size, val, val_size);
  while(k>1){
    size_t parent = k / 2;
    if (cmp (array + parent * val_size, array + k * val_size) <= 0) {
      return;
    }
    heap_func_swap (array + parent * val_size, array + k * val_size, val_size);
    k = parent;
  }
}

void pop (heap *h, void *res) {
  uint8_t *array = (uint8_t *) h->array;
  const size_t val_size = h->val_size;
  if (res != NULL) {
    heap_func_copy (res, array + val_size, val_size);
  }
  heap_func_copy (array + val_size, array + val_size * h->heap_size, val_size);
  h->heap_size--;
  int (*cmp) (const void *, const void *) = h->cmp;
  const size_t n = h->heap_size;
  size_t k = 1;
  while (2 * k  + 1<= n) {
    int c = cmp (array + val_size * 2 * k, array + val_size * (2 * k + 1));
    size_t next = 2 * k + (c <= 0 ? 0 : 1);
    if (cmp (array + val_size * k, array + val_size * next) <= 0) return;
    heap_func_swap (array + val_size * k, array + val_size * next, val_size);
    k = next;
  }
  if (2 * k <= n && cmp (array + val_size * k, array + val_size * 2 * k) > 0) {
    heap_func_swap (array + val_size * k, array + val_size * 2 * k, val_size);
  }
}

typedef struct directed_edge {
  int32_t vertex;
  int32_t cost;
  int32_t next;
} graph_edge;

typedef struct directedGraph {
  graph_edge *edge;
  int32_t *start;
  int32_t pointer;
  int32_t vertex_num;
  int32_t max_size;
} graph;

graph* newGraph (const int vertex_num) {
  graph *g = (graph *) calloc (1, sizeof (graph));
  g->edge = (graph_edge *) calloc (1, sizeof (graph_edge));
  g->start = (int32_t *) calloc (vertex_num, sizeof (int32_t));
  g->pointer = 0;
  g->vertex_num = vertex_num;
  g->max_size = 1;
  for (int32_t i = 0; i < vertex_num; ++i) {
    g->start[i] = -1;
  }
  return g;
}

void addEdge (graph *g, int32_t from, int32_t to, int32_t cost) {
  if (g->pointer == g->max_size) {
    g->max_size *= 2;
    g->edge = (graph_edge *) realloc (g->edge, sizeof (graph_edge) * g->max_size);
  }
  g->edge[g->pointer] = (graph_edge) {to, cost, g->start[from]};
  g->start[from] = g->pointer++;
}

typedef int32_t i32;
typedef int64_t i64;

typedef struct node {
  i32 v;
  i64 d;
} node;

int cmpNode (const void *a, const void *b) {
  i64 d = ((node *)a)->d - ((node *)b)->d;
  return d == 0 ? 0 : d < 0 ? -1 : 1;
}

void run (void) {
  i32 n, m;
  scanf("%" SCNi32 "%" SCNi32, &n, &m);
  graph *g = newGraph (2 * n);
  while (m--) {
    i32 a, b, c;
    scanf("%" SCNi32 "%" SCNi32 "%" SCNi32, &a, &b, &c);
    a--;
    b--;
    addEdge (g, a, b, c);
    addEdge (g, b, a, c);
    addEdge (g, a + n, b + n, c);
    addEdge (g, b + n, a + n, c);
    addEdge (g, a, b + n, 0);
    addEdge (g, b, a + n, 0);
  }
  i64 *dp = (i64 *) calloc (2 * n, sizeof (i64));
  uint8_t *used = (uint8_t *) calloc (2 * n, sizeof (uint8_t));
  for (i32 i = 1; i < n; ++i) {
    dp[i] = (i64) 1000000000 * n;
    dp[i + n] = dp[i];
  }
  heap *h = new_binary_heap (sizeof (node), cmpNode);
  push (h, &((node){0, 0}));
  while (!is_empty (h)) {
    node t;
    pop (h, &t);
    const i32 v = t.v;
    if (used[v]) continue;
    used[v] = 1;
    for (i32 p = g->start[v]; p != -1; p = g->edge[p].next) {
      i32 u = g->edge[p].vertex;
      i64 d = t.d + g->edge[p].cost;
      if (d >= dp[u]) continue;
      dp[u] = d;
      push (h, &((node){u, d}));
    }
  }
  for (i32 i = 0; i < n; ++i) {
    printf("%" PRIi64 "\n", dp[i] + dp[i + n]);
  }
}

int main (void) {
  run ();
  return 0;
}