//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,abm,popcnt,mmx")
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef double db;
typedef long double ldb;
typedef complex<double> cd;

constexpr ll INF64 = 9'000'000'000'000'000'000, INF32 = 2'000'000'000, MOD = 1'000'000'007;
constexpr db PI = acos(-1);
constexpr bool IS_FILE = false, IS_TEST_CASES = false;

random_device rd;
mt19937 rnd32(rd());
mt19937_64 rnd64(rd());

template<typename T>
bool assign_max(T& a, T b) {
        if (b > a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
bool assign_min(T& a, T b) {
        if (b < a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
T square(T a) {
        return a * a;
}

template<>
struct std::hash<pair<ll, ll>> {
        ll operator() (pair<ll, ll> p) const {
                return ((__int128)p.first * MOD + p.second) % INF64;
        }
};

struct DSU {
        vector<ll> p, p10, sz;
        vector<ll> mul, add, dp;
        vector<vector<ll>> sons;
        DSU(ll n) {
                sz.resize(n, 1);
                p10.push_back(1);
                p.resize(n);
                sons.resize(n);
                mul.resize(n, 1);
                add.resize(n, 0);
                dp.resize(n);
                for (ll i = 0; i < n; i++) {
                        p[i] = i;
                        dp[i] = 0;
                        p10.push_back(p10.back() * 10 % MOD);
                }
        }
        void addv(ll v, ll x) {
                add[v] += x;
                add[v] %= MOD;
                dp[v] += x;
                dp[v] %= MOD;
        }
        void mulv(ll v, ll x) {
                add[v] *= x;
                add[v] %= MOD;
                mul[v] *= x;
                mul[v] %= MOD;
                dp[v] *= x;
                dp[v] %= MOD;
        }
        void push(ll v) {
                for (auto i : sons[v]) {
                        mulv(i, mul[v]);
                        addv(i, add[v]);
                }
                mul[v] = 1;
                add[v] = 0;
        }
        ll get(ll v) {
                return (p[v] == v ? v : get(p[v]));
        }
        void unite(ll a, ll b, ll num) {
                ll pa = get(a), pb = get(b);
                if (pa == pb) {
                        return;
                }
                if (sz[pa] > sz[pb]) {
                        swap(pa, pb);
                        swap(a, b);
                }
                ll dpa = dp[a], dpb = dp[b];
                mulv(pa, 10);
                addv(pa, num);
                mulv(pb, 10);
                addv(pb, num);
                mulv(pa, p10[sz[pb] - 1]);
                addv(pa, dpb);
                mulv(pb, p10[sz[pa] - 1]);
                addv(pb, dpa);
                push(pa);
                p[pb] = pa;
                sz[pa] += sz[pb];
                sons[pa].push_back(pb);
        }
        void prec(ll v) {
                push(v);
                for (auto i : sons[v]) {
                        prec(i);
                }
        }
        void pall() {
                for (ll i = 0; i < p.size(); i++) {
                        if (p[i] == i) {
                                prec(i);
                        }
                }
        }
};

void solve() {
        ll n, m;
        cin >> n >> m;
        DSU d(n);
        for (ll i = 0; i < m; i++) {
                ll a, b;
                cin >> a >> b;
                a--;
                b--;
                d.unite(a, b, i + 1);
        }
        d.pall();
        for (auto i : d.dp) {
                cout << i % MOD << '\n';
        }
}

int main() {
        if (IS_FILE) {
                freopen("", "r", stdin);
                freopen("", "w", stdout);
        }
        ios_base::sync_with_stdio(false);
        cin.tie(0);
        cout.tie(0);
        ll t = 1;
        if (IS_TEST_CASES) {
                cin >> t;
        }
        for (ll i = 0; i < t; i++) {
                solve();
        }

answer.code: In function ‘int main()’:
answer.code:162:10: error: expected ‘}’ at end of input
  162 |         }
      |          ^
answer.code:148:12: note: to match this ‘{’
  148 | int main() {
      |            ^
answer.code:150:24: warning: ignoring return value of ‘FILE* freopen(const char*, const char*, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  150 |                 freopen("", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~
answer.code:151:24: warning: ignoring return value of ‘FILE* freopen(const char*, const char*, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  151 |                 freopen("", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~