#include <iostream>
#include <fstream>
#include <queue>
#include <vector>

#include <sys/mman.h>
#include <sys/stat.h>
#include <sys/types.h>
#include <fcntl.h>
#include <unistd.h>

class parser {
public:
    inline parser() {
        /// default c-tor
    }

    inline parser(const char* file_name) {
        int fd = open(file_name, O_RDONLY);
        index &= 0;
        fstat(fd, &sb);
        buffer = (char*)mmap(0, sb.st_size, PROT_READ, MAP_PRIVATE | MAP_NORESERVE, fd, 0);
        close(fd);
    }

    template <typename T>
    inline parser& operator >> (T& n) {
        n &= 0;
        for (; buffer[index] < '0' or buffer[index] > '9'; ++index);
#ifdef SIGNED
        sign &= 0;
        sign = (buffer[(index ? index - 1 : 0)] == '-');
#endif
        for (; '0' <= buffer[index] and buffer[index] <= '9'; ++index)
            n = (n << 3) + (n << 1) + buffer[index] - '0';
#ifdef SIGNED
        n ^= ((n ^ -n) & -sign);
#endif
        return *this;
    }

    ~parser() {
        munmap(buffer, sb.st_size);
    }

private:
    struct stat sb;
    int index;
#ifdef SIGNED
    int sign;
#endif
    char* buffer;
};

class writer {
public:
    writer() {};

    writer(const char* file_name) {
        output_file.open(file_name, std::ios::out | std::ios::binary);
        output_file.sync_with_stdio(false);
        index &= 0;
    }

    template <typename T>
    inline writer& operator <<(T target) {
        auto inc = [&, this]() mutable {
            if (++index == SIZE)
                index &= 0,
                output_file.write(buffer, SIZE);
        };

        aux &= 0;
#ifdef SIGNED_WRITE
        sign = 1;
        if (target < 0)
            sign = -1;
#endif  // SIGNED_WRITE
        if (target == 0) {
            buffer[index] = '0';
            inc();
            return *this;
        }
        for (; target; target = target / 10)
#ifndef SIGNED_WRITE
            nr[aux++] = target % 10 + '0';
#else
            nr[aux++] = (sign * target) % 10 + '0';
        if (sign == -1)
            buffer[index] = '-', inc();
#endif  // SIGNED_WRITE
        for (; aux; inc())
            buffer[index] = nr[--aux];
        return *this;
    }

    inline writer& operator <<(const char* target) {
        auto inc = [&, this]() mutable {
            if (++index == SIZE)
                index &= 0,
                output_file.write(buffer, SIZE);
        };

        aux &= 0;
        while (target[aux])
            buffer[index] = target[aux++], inc();
        return *this;
    }

    inline void close() {
        delete this;
    }

    ~writer() {
        output_file.write(buffer, index);
        output_file.close();
    }

private:
    static const int SIZE = 0x200000; ///2MB
    int index, aux;
#ifdef SIGNED_WRITE
    int sign;
#endif  // SIGNED_WRITE
    char buffer[SIZE], nr[24];
    std::fstream output_file;
};

#define DYNAMIC_ALLOC

template <class _elem, typename compare_by>
class heap {
public:
    heap(size_t _size = 1024) : max_size(_size),
        current_bound(1) {
        storage = new _elem[max_size];
    }

    heap(const heap<_elem, compare_by>& target) { *this = target; }

    heap& operator = (const heap<_elem, compare_by>& target) {
        delete[] storage;
        max_size = target.max_size;
        storage = new _elem[max_size];
        for (unsigned i = 0; i < max_size; ++i)
            storage[i] = target.storage[i];
        current_bound = target.current_bound;
    }

    [[gnu::pure]] inline bool empty() { return (current_bound == 1); }

    [[gnu::pure]] inline _elem top() { return storage[1]; }

    [[gnu::pure]] inline _elem last_item() { return storage[0]; }

    [[gnu::hot]] inline void add(_elem target) {
        storage[current_bound] = target;
        sift_up(current_bound);
#ifdef DYNAMIC_ALLOC
        if (++current_bound == max_size - 1) {
            max_size <<= 1;
            auto dummy = (_elem*)realloc(storage, max_size);
            storage = dummy;
        }
#else
        ++current_bound;
#endif
    }

    [[gnu::hot]] inline _elem pop() {
        if (empty())
            exit(2);
        storage[0] = storage[1];
        storage[1] = storage[--current_bound];

        sift_down(1);

        return storage[0];
    }

    ~heap() { delete[] storage; }

private:
    [[gnu::hot]] inline void sift_up(unsigned crawler) {
        _elem aux = storage[crawler];

        while (parent_pos(crawler) && comparator(aux, parent(crawler))) {
            storage[crawler] = parent(crawler);
            crawler = parent_pos(crawler);
        }

        storage[crawler] = aux;
    }

    [[gnu::hot]] inline void sift_down(unsigned crawler) {
        _elem aux = storage[crawler];

        while (!is_leaf(crawler)) {
            if (!comparator(aux, left_son(crawler)) &&
                (!comparator(right_son(crawler), left_son(crawler)) ||
                 right_son_pos(crawler) == current_bound)) {
                storage[crawler] = left_son(crawler);
                crawler = left_son_pos(crawler);
            }
            else if (!comparator(aux, right_son(crawler))) {
                storage[crawler] = right_son(crawler);
                crawler = right_son_pos(crawler);
            }
            else {
                break;
            }
        }

        storage[crawler] = aux;
    }

    [[gnu::hot, gnu::pure]] inline unsigned right_son_pos(unsigned pos) {
        return 1 + (pos << 1);
    }

    [[gnu::hot, gnu::pure]] inline _elem right_son(unsigned pos) {
        return storage[right_son_pos(pos)];
    }

    [[gnu::hot, gnu::pure]] inline unsigned left_son_pos(unsigned pos) {
        return (pos << 1);
    }

    [[gnu::hot, gnu::pure]] inline _elem left_son(unsigned pos) {
        return storage[left_son_pos(pos)];
    }

    [[gnu::hot, gnu::pure]] inline unsigned parent_pos(unsigned pos) {
        return (pos >> 1);
    }

    [[gnu::hot, gnu::pure]] inline _elem parent(unsigned pos) {
        return storage[parent_pos(pos)];
    }

    [[gnu::hot]] inline bool is_leaf(unsigned pos) {
        return !(right_son_pos(pos) < current_bound || left_son_pos(pos) < current_bound);
    }

    compare_by comparator;
    size_t max_size, current_bound;
    _elem* storage;
};

constexpr int INF = (1LL << 31) - 1;

struct edge {
    int first, second;
};

struct edge_comparator {
    inline bool operator ()(const edge& a, const edge& b) {
        return a.second < b.second;
    }
};

std::vector <edge> graph[50010];
int distance[50010], number_of_nodes;

void dijkstra(int nod) {
    heap<edge, edge_comparator> h(50010);

    for (int i = 1; i <= number_of_nodes; ++i)
        distance[i] = INF;

    distance[nod] = 0;
    h.add({ nod, 0 });

    while (!h.empty()) {
        auto current = h.pop();
        if (distance[current.first] != current.second) continue;
        std::cout << current.first << std::endl;

        for (auto i : graph[current.first])
            if (distance[i.first] > distance[current.first] + i.second)
                distance[i.first] = distance[current.first] + i.second,
                h.add({ i.first, distance[i.first] });
    }
}


int main() {
    parser f("dijkstra.in");
    writer t("dijkstra.out");
    int x, y, c, m;
    f >> number_of_nodes >> m;
    for (int i = 0; i < m; ++i)
        f >> x >> y >> c,
        graph[x].push_back({ y,c });
    dijkstra(1);
    for (int i = 2; i <= number_of_nodes; ++i)
        if (distance[i] == INF) t << "0 ";
        else t << distance[i] << " ";
    return 0;
}