//https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

// ここまで

#[derive(Copy, Clone, Eq, PartialEq)]
struct State {
    v: usize,
    d: u64,
}

impl std::cmp::Ord for State {
    fn cmp(&self, other: &State) -> std::cmp::Ordering {
        other.d.cmp(&self.d)
    }
}

impl PartialOrd for State {
    fn partial_cmp(&self, other: &State) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

fn run() {
    input! {
        n: usize,
        m: usize,
        e: [(usize1, usize1, u64); m],
    }
    let mut g = vec![vec![]; 2 * n];
    for (a, b, c) in e {
        g[a].push((b, c));
        g[b].push((a, c));
        g[n + a].push((n + b, c));
        g[n + b].push((n + a, c));
        g[a].push((n + b, 0));
        g[b].push((n + a, 0));
    }
    let mut dp = vec![std::u64::MAX; 2 * n];
    dp[0] = 0;
    let mut h = std::collections::BinaryHeap::new();
    h.push (State{v: 0, d: 0});
    while let Some(State{v, d}) = h.pop() {
        if d > dp[v] {
            continue;
        }
        for &(u, c) in &g[v] {
            if d + c < dp[u] {
                dp[u] = d + c;
                h.push(State{v: u, d: c + d});
            }
        }
    }
    let mut out = String::new();
    out.push_str("0\n");
    for i in 1..n {
        let sum = dp[i] + dp[i + n];
        out.push_str(&sum.to_string());
        out.push('\n');
    }
    println!("{}", out);
}

fn main() {
    run();
}