#include <fstream>
#include <queue>

const int MAX_N = 50'000;
const int INF = 2'000'000'000;
const int MAX_M = 250'000;
const int NIL = -1;

class InParser {
private:
	FILE * fin;
	char * buff;
	int sp;

	char read_ch() {
		++sp;
		if(sp == 16384) {
			sp = 0;
			fread(buff, 1, 16384, fin);
		}
		return buff[sp];
	}

public:
	InParser(const char * nume) {
		fin = fopen(nume, "r");
		buff = new char[16384]();
		sp = 4095;
	}

	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");

struct Edge {
  int node;
  int cost;
};

struct State {
  int node;
  int cost;

  bool operator<(const State &other) const {
    return cost > other.cost;
  }
};

struct ListNode {
  Edge e;
  int next;
};

int n;
int min_cost[MAX_N];
int head[MAX_N];
int ptr;
ListNode nodes[MAX_M];

void dijkstra(int source) {
  for(int i = 0; i < n; i++) {
    min_cost[i] = INF;
  }

  std::priority_queue<State> pq;
  min_cost[source] = 0;
  pq.push({source, 0});
  while(!pq.empty()) {
    State nd = pq.top();
    pq.pop();
    int pos = head[nd.node];
    while(pos != NIL) {
      Edge e = nodes[pos].e;
      int c = nd.cost + e.cost;
      if(c < min_cost[e.node]) {
        min_cost[e.node] = c;
        pq.push({e.node, c});
      }
      pos = nodes[pos].next;
    }
  }
}

void add_edge(int u, int v, int cost) {
  nodes[ptr] = {{v, cost}, head[u]};
  head[u] = ptr;
  ptr++;
}

int main() {
  int m;
  fin >> n >> m;

  for(int i = 0; i < n; i++) {
    head[i] = NIL;
  }

  ptr = 0;
  for(int i = 0; i < m; i++) {
    int u, v, cost;
    fin >> u >> v >> cost;
    u--;
    v--;
    add_edge(u, v, cost);
  }

  dijkstra(0);

  for(int i = 1; i < n; i++) {
    fout << (min_cost[i] == INF ? 0 : min_cost[i]) << " ";
  }
  fout << "\n";

  return 0;
}