#include <bits/stdc++.h>

const int MAXN = 50'000;
const int MAXM = 250'000;
const int BUFSIZE = (65'536);
const int INF = 2'000'000'000;
int head[MAXM + 1];
const int NIL = -1;
int n, m;
struct Edge{
  int u, cost;
  bool operator <(const Edge &a) const {
    return cost > a.cost;
  }
};
int nl = 0;
struct List{
  int nxt;
  Edge e;
}list[MAXM + 1];
void addEdge(int u, int v, int w) {
  list[nl] = {head[u], {v, w}};
  head[u] = nl++;
}
class InParser {
private:
	FILE * fin;
	char * buff;
	int sp;

	char read_ch() {
		if(!(sp = (sp + 1) & (BUFSIZE - 1))) {
			fread(buff, 1, BUFSIZE, fin);
		}
		return buff[sp];
	}

public:
	InParser(const char * nume) {
		fin = fopen(nume, "r");
		buff = new char[BUFSIZE]();
		sp = 1823;
	}

	InParser& operator >> (int &n) {
		char c;
		while(!isdigit(c = read_ch()) && c != '-');
		int sgn = 1;
		if(c == '-') {
			n = 0;
			sgn = -1;
		} else {
			n = c - '0';
		}
		while(isdigit(c = read_ch())) {
			n = 10 * n + c - '0';
		}
		n *= sgn;
		return *this;
	}

	InParser& operator >> (long long &n) {
		char c;
		n = 0;
		while(!isdigit(c = read_ch()) && c != '-');
		long long sgn = 1;
		if(c == '-') {
			n = 0;
			sgn = -1;
		} else {
			n = c - '0';
		}
		while(isdigit(c = read_ch())) {
			n = 10 * n + c - '0';
		}
		n *= sgn;
		return *this;
	}
};
class OutParser {
private:
    FILE *fout;
    char *buff;
    int sp;

    void write_ch(char ch) {
        if (sp == 50000) {
            fwrite(buff, 1, 50000, fout);
            sp = 0;
            buff[sp++] = ch;
        } else {
            buff[sp++] = ch;
        }
    }


public:
    OutParser(const char* name) {
        fout = fopen(name, "w");
        buff = new char[50000]();
        sp = 0;
    }
    ~OutParser() {
        fwrite(buff, 1, sp, fout);
        fclose(fout);
    }

    OutParser& operator << (int vu32) {
        if (vu32 <= 9) {
            write_ch(vu32 + '0');
        } else {
            (*this) << (vu32 / 10);
            write_ch(vu32 % 10 + '0');
        }
        return *this;
    }

    OutParser& operator << (long long vu64) {
        if (vu64 <= 9) {
            write_ch(vu64 + '0');
        } else {
            (*this) << (vu64 / 10);
            write_ch(vu64 % 10 + '0');
        }
        return *this;
    }

    OutParser& operator << (char ch) {
        write_ch(ch);
        return *this;
    }
    OutParser& operator << (const char *ch) {
        while (*ch) {
            write_ch(*ch);
            ++ch;
        }
        return *this;
    }
};
InParser fin("dijkstra.in");
OutParser fout("dijkstra.out");
int dist[MAXN + 1];
void dijkstra(int node) {
  std::priority_queue<Edge> pq;
  pq.push({node, 0});
  for( int i = 1; i <= n; i++ )
    dist[i] = INF;
  dist[0] = 1;
  dist[node] = 0;
  while(!pq.empty()) {
    Edge e = pq.top();
    pq.pop();
    if(e.cost == dist[e.u]) {
      for(int y = head[e.u]; y != NIL; y = list[y].nxt) {
        Edge nxt = list[y].e;
        int newdist = nxt.cost + dist[e.u];
        int newnode = nxt.u;
        if(newdist < dist[nxt.u]) {
          pq.push({newnode, newdist});
          dist[nxt.u] = newdist;
        }
      }
    }
  }

  for( int i = 2; i <= n; i++ ) {
    if(dist[i] == INF)
      dist[i] = 0;
    fout << dist[i] << " ";
  }
}
int main(){
  fin >> n >> m;
  for( int i = 1; i <= m; i++ ) {
    head[i] = NIL;
  }
  for( int i = 0; i < m; i++ ) {
    int u, v, w;
    fin >> u >> v >> w;
    addEdge(u, v, w);
  }
  dijkstra(1);
  return 0;
}