#include<bits/stdc++.h>
#include<cstdio>
#define ll long long
#define fi first
#define se second
using namespace std;
typedef pair<ll, ll> lp;
typedef vector<vector<ll>> vvl;
const int inf = 0x3f3f3f3f;
const ll mod = 1e9 + 7;
ll dp[10005][100];//s题
vector<int> a;//s题
int d;   //s题
void A() {
    int n;
    cin >> n;
    vector<int> a(n, 0);
    for(int i = 0; i < n; i++)
        cin >> a[i];
    vector<int> dp(n + 1, inf);
    dp[0] = 0;
    for(int i = 1; i < n; i++) {
        dp[i] = min(dp[i], dp[i - 1] + abs(a[i] - a[i - 1]));
        if(i >= 2)
            dp[i] = min(dp[i], dp[i - 2] + abs(a[i] - a[i - 2]));
    }
    cout << dp[n - 1] << endl;

}
void B() {
    int n, k;
    cin >> n >> k;
    vector<int> dp(n + 1, inf);
    vector<int> h(n, 0);
    for(int i = 0; i < n; i++)
        cin >> h[i];
    dp[0] = 0;
    for(int i = 1; i < n; i++) {
        for(int len = 1; len <= min(k + 1, i + 1); len++) {
            int j = i - len + 1;
            dp[i] = min(dp[i], dp[j] + abs(h[j] - h[i]));
        }
    }
    cout << dp[n - 1] << endl;
}
void C() {
    int n;
    cin >> n;
    vector<vector<int>> a(n, vector<int>(3, 0));
    for(int i = 0; i < n; i++)
        cin >> a[i][0] >> a[i][1] >> a[i][2];
    vector<vector<int>> dp(n, vector<int>(3, 0));
    dp[0][0] = a[0][0];
    dp[0][1] = a[0][1];
    dp[0][2] = a[0][2];
    for(int i = 1; i < n; i++) {
        for(int j = 0; j < 3; j++) {
            for(int k = 0; k < 3; k++) {
                if(j == k)
                    continue;
                dp[i][j] = max(dp[i][j], dp[i - 1][k] + a[i][j]);
                //cout<<dp[i][j]<<endl;
            }
        }
    }
    cout << max(dp[n - 1][0], max(dp[n - 1][1], dp[n - 1][2])) << endl;
}
void D() {
    ll n, W;
    cin >> n >> W;
    vector<lp> p;
    for(int i = 0; i < n; i++) {
        ll a, b;
        cin >> a >> b;
        p.emplace_back(a, b);
    }
    sort(p.begin(), p.end());
    vector<ll> dp(W + 1, 0);
    for(int i = 0; i < n; i++) {
        for(int j = W; j >= p[i].first; j--) {
            if(j > 0)
                dp[j] = max(dp[j], dp[j - 1]);
            dp[j] = max(dp[j], dp[j - p[i].fi] + p[i].se);
        }
    }
    cout << dp[W] << endl;

}
void E() {
    //价值比较小，将dp[i]转化为获得当前i的价值的最小体积，然后根据W寻找符合要求的解；
    int n, W;
    cin >> n >> W;
    vector<ll> w(n, 0);
    vector<ll> v(n, 0);
    for(int i = 0; i < n; i++)
        cin >> w[i] >> v[i];
    vector<ll> dp(100005, inf);
    dp[0] = 0;
    int res = 0;
    for(int i = 0; i < n; i++) {
        for(int j = 1e5; j >= v[i]; j--) {
            dp[j] = min(dp[j], dp[j - v[i]] + w[i]);
            if(dp[j] <= W) {
                res = max(res, j);
            }
        }
    }
    cout << res << endl;

}
void F() {
    string s, t;
    cin >> s >> t;
    int n = s.size(), m = t.size();
    vector<vector<int>> dp(n + 1, vector<int>(m + 1, 0));
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= m; j++) {
            char a = s[i - 1], b = t[j - 1];
            if(a == b) {
                dp[i][j] = max(dp[i][j], dp[i - 1][j - 1] + 1);
            }
            dp[i][j] = max(dp[i][j], max(dp[i - 1][j], dp[i][j - 1]));
        }
    }
    int i = n, j = m;
    stack<char> st;
    while(i != 0 && j != 0) {
        char a = s[i - 1], b = t[j - 1];
        if(a == b) {
            st.push(a);
            j--;
            i--;
        } else {
            if(dp[i][j] == dp[i - 1][j])
                i--;
            else
                j--;
        }
    }
    string res;
    while(!st.empty()) {
        res += st.top();
        st.pop();
    }
    cout << res << endl;
}
int Ghelper(vector<int>& dp, vector<vector<int>>& edge, int cur, int& ans) {
    if(dp[cur] != -1)
        return dp[cur];
    int res = 0;
    for(auto nb : edge[cur]) {
        res = max(res, Ghelper(dp, edge, nb, ans) + 1);
    }
    ans = max(ans, res);
    dp[cur] = res;
    return res;
}
void G() {
    int n, m;
    cin >> n >> m;
    vector<vector<int>> edge(n + 1, vector<int>());
    for(int i = 0; i < m; i++) {
        int x, y;
        cin >> x >> y;
        edge[x].push_back(y);
    }
    vector<int> dp(n + 1, -1);
//    vector<bool> vis(n+1,0);
    int res = 0;
    for(int i = 1; i <= n; i++) {
//        if(vis[i]) continue;
//        vis[i]=true;
        Ghelper(dp, edge, i, res);
    }
    cout << res << endl;
}
void H() {
    int H, W;
    cin >> H >> W;
    vector<vector<char>> grid(H + 1, vector<char>(W + 1, '.'));
    vector<vector<ll>> dp(H + 1, vector<ll>(W + 1, 0));
    for(int i = 1; i <= H; i++) {
        for(int j = 1; j <= W; j++) {
            cin >> grid[i][j];
        }
    }
    dp[1][1] = 1;
    for(int i = 1; i <= H; i++) {
        for(int j = 1; j <= W; j++) {
            if(i == 1 && j == 1)
                continue;
            if(grid[i][j] == '#')
                dp[i][j] = 0;
            else {
                dp[i][j] = (dp[i - 1][j] + dp[i][j - 1]) % mod;
            }
        }
    }
    cout << dp[H][W] << endl;
}
void I() {
    int n;
    cin >> n;
    vector<vector<double>> dp(n + 1, vector<double>(n + 1, 0.0));
    vector<double> p(n, 0.0);
    for(int i = 0; i < n; i++)
        cin >> p[i];
    dp[0][0] = 1.0;
    for(int i = 1; i <= n; i++) {
        for(int j = 0; j <= i; j++) {
            if(j > 0)
                dp[i][j] += dp[i - 1][j - 1] * p[i - 1];
            dp[i][j] += dp[i - 1][j] * (1 - p[i - 1]);
        }
    }
    double res = 0.0;
    for(int i = (n + 1) / 2; i <= n; i++)
        res += dp[n][i];
    printf("%.10f\n", res);
}
double JHelper(vector<vector<vector<double>>>& dp, int a, int b, int c, int n) {
    //cout<<a<<" "<<b<<" "<<c<<endl;
    if(a == 0 && b == 0 && c == 0)
        return 0;
    if(dp[a][b][c] > 0)
        return dp[a][b][c];
    double sum = a + b + c;
    double ans = 1.0 * n / sum;
    if(a)
        ans += JHelper(dp, a - 1, b, c, n) * (1.0 * a / sum);
    if(b)
        ans += JHelper(dp, a + 1, b - 1, c, n) * (1.0 * b / sum);
    if(c)
        ans += JHelper(dp, a, b + 1, c - 1, n) * (1.0 * c / sum);
    dp[a][b][c] = ans;
    return ans;
}
void J() {
    int n;
    cin >> n;
    vector<int> a(n, 0);
    for(int i = 0; i < n; i++)
        cin >> a[i];
    int cnt[4] = {0, 0, 0, 0};
    for(int i : a) {
        cnt[i]++;
    }
    //cout<<"OK"<<endl;
    vector<vector<vector<double>>> dp(n + 1, vector<vector<double>>(n + 1, vector<double>(n + 1, -1.0)));
    printf("%.13f\n", JHelper(dp, cnt[1], cnt[2], cnt[3], n));
}
//int KHelper(vector<int>& a,vector<int>& dp,int cur,int n)
//{
//    cout<<cur<<" "<<endl;
//    if(dp[cur]!=-1) return dp[cur];
//    dp[cur]=0;
//    for(int i=0;i<n&&cur>=a[i];i++){
//        dp[cur]|=1-KHelper(a,dp,cur-a[i],n);
//        if(dp[cur]==1) break;
//    }
//    return dp[cur];
//}
void K() {
    int n, k;
    cin >> n >> k;
    vector<int> a(n + 1, 0);
    vector<int> dp(k + 3, -1);
    for(int i = 0; i < n; i++) {
        cin >> a[i];
    }
//    if(KHelper(a,dp,k,n)==1) cout<<"First"<<endl;
//    else cout<<"Second"<<endl;
    dp[0] = 0;
    for(int i = 1; i <= k; i++) {
        dp[i] = 0;
        for(int j = 0; j < n && a[j] <= i; j++) {
            dp[i] |= 1 - dp[i - a[j]];
            if(dp[i] == 1)
                break;
        }
    }
    if(dp[k] == 1)
        cout << "First" << endl;
    else
        cout << "Second" << endl;
}
void L() {
    int n;
    cin >> n;
    vector<ll> a(n + 1, 0);
    for(int i = 1; i <= n; i++)
        cin >> a[i];
    vector<vector<ll>> dp(n + 2, vector<ll>(n + 2, 0));
    for(int len = 1; len <= n; len++) {
        for(int i = 1; i + len <= n + 1; i++) {
            int j = i + len - 1;
            if((n - len) % 2 == 0) {
                dp[i][j] = max(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j]);
            } else {
                dp[i][j] = min(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j]);
            }
        }
    }
    cout << dp[1][n] << endl;
}
void M() {
    int n, K;
    cin >> n >> K;
    vector<int> a(n + 1, 0);
    for(int i = 1; i <= n; i++)
        cin >> a[i];
    vector<vector<int>> dp(n + 1, vector<int>(K + 1, 0));
    for(int i = 0; i <= n; i++)
        dp[i][0] = 1;
//    for(int i=0;i<=K;i++) dp[0][i]=1;
    for(int i = 1; i <= n; i++) {
        dp[i][0] = 1;
        for(int j = 0; j < K; j++) {
            dp[i][j + 1] = (dp[i][j + 1] + dp[i][j] + dp[i - 1][j + 1]) % mod;
            if(j >= a[i]) {
                dp[i][j + 1] = (dp[i][j + 1] - dp[i - 1][j - a[i]] + mod) % mod;
            }

        }
    }
    cout << dp[n][K] << endl;
}
void N() {
    int n;
    cin >> n;
    vector<ll> a(n + 1, 0);
    vector<ll> sum(n + 1, 0);
    vector<vector<ll>> dp(n + 1, vector<ll>(n + 1, -1));
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        sum[i] = sum[i - 1] + a[i];
    }
    for(int i = 1; i <= n - 1; i++) {
        dp[i][i] = 0;
        dp[i][i + 1] = a[i] + a[i + 1];
    }
    dp[n][n] = 0;
    for(int len = 3; len <= n; len++) {
        for(int i = 1; i + len - 1 <= n; i++) {
            int j = i + len - 1;
            for(int k = i; k < j; k++) {
                if(dp[i][j] == -1)
                    dp[i][j] = dp[i][k] + dp[k + 1][j] + sum[j] - sum[i - 1];
                else
                    dp[i][j] = min(dp[i][j], dp[i][k] + dp[k + 1][j] + sum[j] - sum[i - 1]);
            }
        }
    }
    cout << dp[1][n] << endl;
}
void O() {
    int n;
    cin >> n;
    vector<vector<int>> cnt(n + 1, vector<int>(n + 1, 0));
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            cin >> cnt[i][j];
        }
    }
    vector<int> dp((1 << n), 0);
    dp[0] = 1;
    for(int mask = 1; mask < (1 << n); mask++) {
        bitset<32> bt(mask);
        int i = bt.count();
        //cout<<i<<endl;
        for(int j = 0; j < n; j++) {
            if(cnt[i][j + 1] == 1 && ((mask & (1 << j)) != 0)) {
                dp[mask] = (dp[mask] + dp[mask - (1 << j)]) % mod;
            }
        }
    }
    cout << dp[(1 << n) - 1] << endl;
}
ll PHelper(vector<vector<ll>>& dp, vector<vector<int>>& child, int cur, int flag) {
    if(dp[cur][flag] != -1)
        return dp[cur][flag];
    ll ans = 1;
    for(auto c : child[cur]) {
        if(flag == 1)
            ans = (ans * PHelper(dp, child, c, 0)) % mod;
        else
            ans = (ans * (PHelper(dp, child, c, 0) + PHelper(dp, child, c, 1))) % mod;
    }
    dp[cur][flag] = ans;
    return ans;
}
void P() {
    int n;
    cin >> n;
    vector<vector<int>> child(n + 1, vector<int>());
    vector<vector<ll>> dp(n + 1, vector<ll>(2, -1));
    vector<vector<int>> edge(n + 1, vector<int>());
    for(int i = 0; i < n - 1; i++) {
        int x, y;
        cin >> x >> y;
        edge[x].push_back(y);
        edge[y].push_back(x);
    }
    vector<bool> vis(n + 1, 0);
    vis[1] = true;
    queue<int> q;
    q.push(1);
    while(!q.empty()) {
        auto u = q.front();
        q.pop();
        for(auto e : edge[u]) {
            if(vis[e])
                continue;
            vis[e] = true;
            child[u].push_back(e);
            q.push(e);
        }
    }
    ll res = (PHelper(dp, child, 1, 0) + PHelper(dp, child, 1, 1)) % mod;
    cout << res << endl;
}
void Q() {
    set<lp> cnt;
    int n;
    cin >> n;
    vector<ll> h(n + 1, 0);
    vector<ll> a(n + 1, 0);
    for(int i = 0; i < n; i++)
        cin >> h[i];
    for(int i = 0; i < n; i++)
        cin >> a[i];
    ll res = 0;
    cnt.insert({0, 0});
    for(int i = 0; i < n; i++) {
        //
        ll cur = 0;
        auto it = prev(cnt.lower_bound({h[i], 0}));
        cur = it->second + a[i];
        while(true) {
            auto next = cnt.lower_bound({h[i], 0});
            if(next != cnt.end() && next->second <= cur) {
                cnt.erase(next);
            } else
                break;
        }
        res = max(res, cur);
        cnt.insert({h[i], cur});
    }
    cout << res << endl;
}
void R() {
    ll N, K;
    cin >> N >> K;
    vector<vector<ll>> a(N + 1, vector<ll>(N + 1, 0));
    for(int i = 1; i <= N; i++) {
        for(int j = 1; j <= N; j++) {
            cin >> a[i][j];
        }
    }
    auto amul = [](vvl aa, vvl bb, int n) {
        vector<vector<ll>> t(n + 1, vector<ll>(n + 1, 0));
        for(int i = 1; i <= n; i++) {
            for(int k = 1; k <= n; k++) {
                for(int j = 1; j <= n; j++) {
                    t[i][j] = (t[i][j] + aa[i][k] * bb[k][j]) % mod;
                }
            }
        }
        return t;
    };
    auto power = [&amul](ll k, vvl cur, int n) {
        vvl res(n + 1, vector<ll> (n + 1, 0));
        for(int i = 1; i <= n; i++)
            res[i][i] = 1;
        while(k > 0) {
            if(k & 1)
                res = amul(res, cur, n);
            k = k >> 1;
            cur = amul(cur, cur, n);
        }
        return res;
    };
    ll ans = 0;
    vvl f = power(K, a, N);
    for(int i = 1; i <= N; i++) {
        for(int j = 1; j <= N; j++) {
            ans += f[i][j];
            ans %= mod;
        }
    }
    cout << ans << endl;
}
ll SHelper(int pos, int state, bool limit) {
    //cout<<pos<<" "<<pre<<" "<<state<<" "<<limit<<endl;
    if(pos == -1)
        return state == 0 ? 1ll * 1 : 1ll * 0;
    if(!limit && dp[pos][state] != -1)
        return dp[pos][state];

    int up = limit ? a[pos] : 9;
    //cout<<"ok"<<endl;
    ll ans = 0;
    for(int i = 0; i <= up; i++) {
        ans = (ans + SHelper(pos - 1, (state + i) % d, limit && (i == a[pos]))) % mod;
    }

    if(!limit)
        dp[pos][state] = ans;
    return ans;
};
void S() {
    string k;
    cin >> k >> d;
    int n = k.size() + 1;
    auto solve = [](string s)->ll{
        a.clear();
        memset(dp, -1, sizeof(dp));
        for(int i = s.size() - 1; i >= 0; i--)
            a.push_back(s[i] - '0');
        return SHelper(s.size() - 1, 0, true);
    };
    cout << (mod + solve(k) - solve("0")) % mod << endl;
}
void T() {
    int n;
    cin >> n;
    string s;
    cin >> s;
    vector<vector<ll>> dpt(n + 2, vector<ll> (n + 2, 0));
    dpt[1][1] = 1;
    for(int l = 2; l <= n; l++) {
        if(s[l - 2] == '<') {
            for(int x = 1; x <= l; x++) {
                dpt[l][x] = (dpt[l - 1][x - 1] + dpt[l][x - 1]) % mod;
                //if(dp[l][x]<0) dp[l][x]=(dp[l][x]+mod)%mod;
            }
        } else {
            for(int x = l; x >= 1; x--) {
                dpt[l][x] = (dpt[l][x + 1] + dpt[l - 1][x]) % mod;
                //if(dp[l][x]<0) dp[l][x]=(dp[l][x]+mod)%mod;
            }
        }

    }
    ll ans = 0;
    for(int i = 1; i <= n; i++) {
        ans = (ans + dpt[n][i]) % mod;
    }
    cout << ans % mod << endl;
}
void U() {
    int n;
    cin >> n;
    vector<vector<ll>> a(n + 1, vector<ll>(n + 1));
    for(int i = 0; i < n; i++) {
        for(int j = 0; j < n; j++) {
            cin >> a[i][j];
        }
    }
    int maxn = (1 << n);
    vector<ll> cost(maxn, 0);
    vector<ll> dp(maxn, 0);
    for(int mask = 0; mask < maxn; mask++) {
        for(int i = 0; i < n; i++) {
            for(int j = i + 1; j < n; j++) {
                if(((1 << i)&mask) && ((1 << j)&mask)) {
                    cost[mask] += a[i][j];
                }
            }
        }
    }
    for(int mask = 0; mask < maxn; mask++) {
        for(int submask = mask; submask > 0; submask = (submask - 1)&mask) {
            dp[mask] = max(dp[mask], dp[mask - submask] + cost[submask]);
        }
    }
    cout << dp[maxn - 1] << endl;
}
void Vdfs1(vector<ll>& dp, vvl& child, ll cur, ll mod) {
    dp[cur] = 1;
    for(auto s : child[cur]) {
        Vdfs1(dp, child, s, mod);
        (dp[cur] *= (dp[s] + 1)) %= mod;
    }
}
void Vdfs2(vector<ll>& ans, vector<ll> &dp,vvl& child, ll cur, ll fac, ll mod) {
    ans[cur] = (dp[cur] * fac) % mod;
    vector<ll> prefix, suffix;
    for(auto s : child[cur]) {
        prefix.push_back(dp[s] + 1);
    }
    suffix = prefix;
    for(int i = 1; i < prefix.size(); i++) {
        (prefix[i] *= prefix[i - 1]) %= mod;
    }
    for(int i = (int)(suffix.size() - 2); i >= 0; i--) {
        (suffix[i] *= suffix[i + 1]) %= mod;
    }
    int cnt = 0;
    for(auto s : child[cur]) {
        //计算当前的cur对其孩子的贡献度
        ll curcontribution = fac;
        if(cnt > 0) {
            curcontribution *= prefix[cnt - 1];
            curcontribution %= mod;
        }
        if(cnt < suffix.size() - 1) {
            curcontribution *= suffix[cnt + 1];
            curcontribution %= mod;
        }
        //这里curcontribution+1是指有可能父节点不对该子节点做出贡献
        Vdfs2(ans, dp, child, s, (curcontribution + 1)%mod, mod);
        cnt++;
    }
}
void V() {
    int n, m;
    cin >> n >> m;
    vector<ll> ans(n + 1, 0);
    vector<ll> dp(n + 1, 0);
    vvl edge(n + 1, vector<ll>());
    vvl child(n + 1, vector<ll>());
    for(int i = 0; i < n - 1; i++) {
        int x, y;
        cin >> x >> y;
        edge[x].push_back(y);
        edge[y].push_back(x);
    }
    vector<bool> vis(n + 1, 0);
    vis[1] = 1;
    //建立有根树
    queue<int> q;
    q.push(1);
    while(!q.empty()) {
        auto it = q.front();
        q.pop();
        for(auto nb : edge[it]) {
            if(vis[nb])
                continue;
            vis[nb] = 1;
            child[it].push_back(nb);
            q.push(nb);
        }
    }
    Vdfs1(dp, child, 1, m);
    Vdfs2(ans, dp,child, 1, 1, m);
    for(int i = 1; i <= n; i++)
        cout << ans[i] << endl;
}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    V();
}


Measured memory_bytes: 31136