68 74
7 8
24 23
55 56
3 50
61 62
12 1
32 33
36 35
9 8
44 50
53 5
29 28
16 2
36 37
3 22
44 45
27 28
66 65
34 4
31 32
64 65
13 12
10 9
67 66
5 47
55 54
6 51
20 21
67 4
17 29
41 40
48 49
19 20
18 17
35 4
25 24
33 34
38 37
5 48
43 30
63 62
60 61
66 6
26 27
64 63
14 13
67 68
68 54
42 41
52 53
39 38
50 49
59 58
46 45
39 40
57 58
1 11
52 51
15 2
57 56
2 67
23 3
26 25
6 53
30 31
10 11
7 14
1 30
22 21
42 43
47 46
16 15
59 60
18 19
 8 9
1 6
3 6
4 7
8 1
1 5
8 4
2 7
3 5
8 2
 7 7
7 6
7 2
6 1
5 4
5 1
1 4
3 7
 17 20
13 11
2 3
16 3
12 14
17 1
2 6
5 4
7 9
3 10
8 16
10 8
14 2
6 15
1 7
15 1
15 12
4 13
8 5
9 17
11 5
 6 6
4 3
4 2
5 4
6 5
4 6
1 6
 4 4
1 2
2 3
1 3
1 4
 10 11
9 3
8 7
1 2
1 8
10 8
7 10
4 1
6 4
3 6
5 9
2 5
 1 0
 9 9
9 8
7 6
8 7
5 6
3 2
1 5
1 3
1 4
4 2
 2 1
1 2
 16 20
1 16
15 14
5 11
12 1
16 2
5 14
2 4
6 1
11 7
11 1
8 12
9 6
7 5
10 15
1 8
14 10
4 13
3 9
13 16
6 3
 7 8
7 4
3 1
2 1
6 5
6 7
2 3
1 4
4 5
 9 9
1 9
6 7
8 7
1 8
5 7
3 2
4 9
8 3
6 1
 11 12
6 5
7 1
1 2
2 11
10 11
9 6
8 7
4 8
11 9
2 3
5 10
3 4
 5 4
1 2
3 4
1 4
5 1
 8 8
6 7
5 1
8 2
3 1
6 4
3 6
7 4
8 5
 10 10
2 5
7 8
1 7
1 9
5 3
6 9
5 9
6 4
1 10
8 9
 4 3
3 4
2 4
4 1
 13 15
9 1
12 3
6 11
8 2
2 5
13 10
3 4
8 4
11 9
9 2
10 8
1 6
7 12
5 13
4 7
 11 12
11 1
9 3
6 1
6 7
2 10
4 6
9 11
10 9
10 11
1 8
6 5
8 7
 8 8
1 6
7 3
1 8
7 8
5 4
4 1
6 5
6 2
 3 3
2 1
1 3
3 2
 17 21
8 2
9 6
6 7
3 14
12 16
4 11
11 15
14 13
13 4
5 8
6 1
2 5
16 7
7 12
3 17
14 8
17 10
7 14
1 9
15 14
10 3
 3 2
1 2
2 3
 3 3
3 2
1 3
1 2
 10 9
9 8
4 10
8 7
1 3
8 3
7 6
7 5
10 9
2 7
 11 12
10 1
8 7
4 11
5 2
7 9
6 10
11 6
2 8
1 4
9 3
9 4
3 5
 18 22
5 3
15 18
8 10
17 6
9 2
7 16
7 10
3 8
11 9
2 14
4 18
10 5
14 11
11 13
1 4
13 7
15 6
16 17
6 12
18 1
12 15
17 13
 5 5
5 1
2 3
4 2
5 2
1 4
 8 8
3 1
4 5
6 1
7 8
2 5
3 2
1 4
6 8

22
16
19
16
15
13
26
26
25
24
23
23
24
25
17
17
25
24
23
22
21
20
20
21
22
23
24
25
26
21
20
19
18
17
17
18
19
20
21
22
23
23
22
19
18
17
16
16
17
18
14
15
14
17
18
19
20
21
21
20
19
18
17
16
15
14
15
16
 3
4
5
4
4
4
5
3
 3
4
4
4
4
2
3
 9
6
6
10
9
7
10
8
11
7
10
8
11
7
8
7
10
 3
3
3
2
2
2
 1
2
2
2
 3
3
5
3
4
4
5
4
5
5
 0
 5
7
6
6
4
4
5
6
7
 1
1
 4
6
6
7
5
5
5
5
6
7
4
5
6
6
7
5
 3
4
4
2
3
4
3
 3
5
4
5
5
4
4
3
4
 4
3
4
5
6
6
5
6
5
5
4
 2
3
3
2
3
 3
6
4
6
4
5
6
5
 3
4
4
4
3
3
4
3
2
4
 2
2
2
1
 6
4
6
5
5
7
6
4
5
5
6
7
5
 3
5
5
5
5
4
5
4
4
4
3
 3
5
5
4
5
4
4
3
 1
1
1
 5
5
4
5
5
4
3
4
5
5
5
4
4
3
4
4
5
 2
1
2
 1
1
1
 5
5
4
5
5
5
4
3
3
4
 5
6
4
4
5
6
4
5
3
6
5
 9
8
9
9
8
6
6
8
7
7
6
7
5
7
7
5
5
8
 3
2
3
2
2
 3
5
4
4
5
3
5
4

#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
//#pragma GCC optimize(3)
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC target("sse3","sse2","sse")
//#pragma GCC target("avx","sse4","sse4.1","sse4.2","ssse3")
//#pragma GCC target("f16c")
//#pragma GCC optimize("inline","fast-math","unroll-loops","no-stack-protector")
//#pragma GCC diagnostic error "-fwhole-program"
//#pragma GCC diagnostic error "-fcse-skip-blocks"
//#pragma GCC diagnostic error "-funsafe-loop-optimizations"
//#pragma GCC diagnostic error "-std=c++14"
#include "bits/stdc++.h"
#include "ext/pb_ds/tree_policy.hpp"
#include "ext/pb_ds/assoc_container.hpp"

#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fr(x) freopen(x,"r",stdin)
#define fw(x) freopen(x,"w",stdout)
#define REP(x, l, u) for(ll x = l;x<u;x++)
#define RREP(x, l, u) for(ll x = l;x>=u;x--)
#define complete_unique(a) a.erase(unique(begin(a),end(a)),end(a))
#define mst(x, a) memset(x,a,sizeof(x))
#define all(a) begin(a),end(a)
#define rall(a) rbegin(a),rend(a)
#define PII pair<int,int>
#define PLL pair<ll,ll>
#define MP make_pair
#define lowbit(x) ((x)&(-(x)))
#define bitcnt(x) (__builtin_popcountll(x))
#define lson (ind<<1)
#define rson (ind<<1|1)
#define se second
#define fi first
#define sz(x) ((int)x.size())
#define EX0 exit(0);

typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
using namespace __gnu_pbds; //required
using namespace std;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef vector<ll> VLL;
typedef vector<int> VI;
const ll mod = 1e9 + 7;


string to_string (string s) { return '"' + s + '"'; }

string to_string (const char *s) { return to_string ((string) s); }

string to_string (bool b) { return (b ? "true" : "false"); }

template<typename A, typename B>
string to_string (pair<A, B> p) { return "(" + to_string (p.first) + ", " + to_string (p.second) + ")"; }

template<typename A>
string to_string (A v) {
    bool first = true;
    string res = "{";
    for (const auto &x : v) {
        if (!first) { res += ", "; }
        first = false;
        res += to_string (x);
    }
    res += "}";
    return res;
}

void debug_out () { cerr<<endl; }

template<typename Head, typename... Tail>
void debug_out (Head H, Tail... T) {
    cerr<<" "<<to_string (H);
    debug_out (T...);
}

#ifdef LOCAL
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define dbg(...) {}
#endif

template<typename T, typename S>
inline bool upmin (T &a, const S &b) { return a > b ? a = b, 1 : 0; }

template<typename T, typename S>
inline bool upmax (T &a, const S &b) { return a < b ? a = b, 1 : 0; }


ull twop (ll x) { return 1ULL<<x; }

ll MOD (ll a, ll m) {
    a %= m;
    if (a < 0)a += m;
    return a;
}

ll inverse (ll a, ll m) {
    a = MOD (a, m);
    if (a <= 1)return a;
    return MOD ((1 - inverse (m, a) * m) / a, m);
}

template<typename T>
T sqr (T x) { return x * x; }

ll gcd (ll a, ll b) {
    a = abs (a), b = abs (b);
    while (b != 0) {
        a %= b;
        swap (a, b);
    }
    return a;
}

ll fast (ll a, ll b) {
    ll ans = 1;
    while (b) {
        if (b & 1)ans *= a;
        a *= a;
        b /= 2;
    }
    return ans;
}

ll fast (ll a, ll b, ll mod) {
    if (b < 0)a = inverse (a, mod), b = -b;
    ll ans = 1;
    while (b) {
        if (b & 1)ans = ans * a % mod;
        a = a * a % mod;
        b /= 2;
    }
    return ans % mod;
}

namespace CircleSquareTree {
    struct Edge {
        ll from, to, id;
        
        Edge (ll from, ll to, ll id) : from (from), to (to), id (id) {}
    };
    
    
    const ll N = 500010; //开两倍
    
    ll low[N], dfn[N], cnt = 1;
    vector<Edge> adj[N];
    vector<Edge> stack;
    int down[N], up[N];
    
    
    void addEdge (int a, int b, int id) {
        adj[a].PB (Edge (a, b, id));
        adj[b].PB (Edge (b, a, id));
    }
    
    vector<vector<Edge>> comp[N];
    
    void tarjan (ll cur, Edge edge) {
        dfn[cur] = low[cur] = cnt++;
        for (auto e:adj[cur]) {
            if (e.id != edge.id) {
                auto to = e.to;
                if (!dfn[to]) {
                    stack.PB (e);
                    tarjan (to, e);
                    upmin (low[cur], low[to]);
                    if (low[to] >= dfn[cur]) {
                        vector<Edge> components;
                        while (true) {
                            auto cur = stack.back ();
                            stack.pop_back ();
                            components.PB (cur);
                            if (cur.id == e.id)break;
                        }
                        comp[cur].PB (components);
                        if (sz(components) == 1) {
                            // bridge
                            upmax (down[cur], down[e.to] + 1);
                        } else {
                            // bcc
                            dbg(cur);
                            VLL row;
                            for (auto e:components) {
                                dbg(e.from, e.to);
                                row.PB (e.to);
                            }
                            {
                                int len = sz(components) + 1;
                                REP(i, 0, sz (components)) {
                                    upmax (down[cur], down[components[i].to] + min (1 + i, len - i - 1));
                                }
                                
                            }
                            REP(_, 0, 2) {
                                int len = sz(row) + 1;
                                deque<ll> q;
                                REP(i, 0, sz (row)) {
                                    while (sz(q) and i - q.front () > len - (i - q.front ()))q.pop_front ();
                                    if (sz(q)) {
                                        upmax (up[row[i]], down[row[q.front ()]] + i - q.front ());
                                    }
                                    while (sz(q) and down[row[i]] - down[row[q.back ()]] >= q.back () - i)q.pop_back ();
                                    q.PB (i);
                                }
                                int cur = 0;
                                ll mx = -1e8;
                                REP(i, 0, sz (row)) {
                                    while (i - cur >= len - (i - cur)) {
                                        upmax (mx, down[row[cur]] + len + cur);
                                        cur++;
                                    }
                                    upmax (up[row[i]], mx - i);
                                }
                                reverse (all(row));
                            }
                        }
                    }
                } else {
                    upmin (low[cur], dfn[to]);
                }
            }
        }
    }
    
    void dfs2 (ll cur, Edge edge) {
        dbg("222", cur);
        dfn[cur] = 1;
        REP(_, 0, 2) {
            int mx = up[cur];
            for (const auto &components:comp[cur]) {
                if (sz(components) == 1) {
                    upmax (up[components[0].to], mx + 1);
                    upmax (mx, down[components[0].to] + 1);
                } else {
                    int len = sz(components) + 1;
                    REP(i, 0, sz (components)) {
                        upmax (up[components[i].to], mx + min (1 + i, len - i - 1));
                    }
                    REP(i, 0, sz (components)) {
                        upmax (mx, down[components[i].to] + min (1 + i, len - i - 1));
                    }
                }
            }
            reverse (all(comp[cur]));
        }
        
        for (auto e:adj[cur]) {
            if (e.id != edge.id) {
                auto to = e.to;
                if (!dfn[to]) {
                    dfs2 (to, e);
                }
            }
        }
    }
    
    void clean (int n) {
        fill (low, low + n + 1, 0);
        fill (dfn, dfn + n + 1, 0);
        cnt = 1;
        stack.clear ();
    }
    
    // 圆方树在realAdj，编号为 [1,square)
    void run (int n, vector<PLL > edges) {
        clean (n);
        REP(i, 0, sz (edges)) {
            addEdge (edges[i].fi, edges[i].se, i);
        }
        tarjan (1, Edge (0, 0, -1));
        clean (n);
        dfs2 (1, Edge (0, 0, -1));
        REP(i, 1, n + 1)dbg(i, down[i], up[i]);
        REP(i, 1, n + 1)cout<<max (up[i], down[i])<<" ";
    }
}

namespace SOLVE {
    void main () {
        vector<PLL > v;
        ll n, m;
        cin>>n>>m;
        REP(i, 0, m) {
            ll a, b;
            cin>>a>>b;
            v.emplace_back (a, b);
        }
        CircleSquareTree::run (n, v);
    }
}


signed main () {
#ifdef LOCAL
    fr("/Users/zhangqingchuan/Desktop/cp/cp/input.txt");
    fw("/Users/zhangqingchuan/Desktop/cp/cp/output.txt");
#endif
    ios::sync_with_stdio (false);
    cin.tie (nullptr);
    cout.tie (nullptr);
    
    
    int t = 1;
//    cin >> t;
    for (int i = 1; i <= t; i++) {
//        cout<<"Case #"<<i<<": ";
        SOLVE::main ();
        
    }








//    clock_t st = clock();
//    while(clock() - st < 3.0 * CLOCKS_PER_SEC){
//
//    }
    
    
    
    
    
    
    return 0;
}
