#include <bits/stdc++.h>
using namespace std;
const int N = 100010, M = N << 1;
#define int long long
#define endl "\n"

// 链式前向星
int e[M], h[N], idx, w[M], ne[M];
void add(int a, int b, int c = 0) {
    e[idx] = b, ne[idx] = h[a], w[idx] = c, h[a] = idx++;
}

int f[N], g[N], mod;
int pre[N], suff[N];

void dfs1(int u, int fa) {
    f[u] = 1;
    vector<int> son;
    for (int i = h[u]; ~i; i = ne[i]) {
        int v = e[i];
        if (v == fa) continue;
        dfs1(v, u);
        f[u] = f[u] * (f[v] + 1) % mod;
        son.push_back(v); // 将子节点加入集合，方便之后操作
    }
    int pre1 = 1;
    int pre2 = 1;

    // 预处理前缀积
    for (int i = 0; i < son.size(); i++) {
        pre[son[i]] = pre1;
        pre1 = pre1 * (f[son[i]] + 1) % mod;
    }

    // 预处理后缀积
    for (int i = son.size() - 1; i >= 0; i--) {
        suff[son[i]] = pre2;
        pre2 = pre2 * (f[son[i]] + 1) % mod;
    }
}

void dfs2(int u, int fa) {
    g[u] = (g[fa] * (pre[u] * suff[u] % mod) % mod + 1) % mod;
    for (int i = h[u]; ~i; i = ne[i]) {
        int v = e[i];
        if (v == fa) continue;
        dfs2(v, u);
    }
}

signed main() {
    // 初始化链式前向星
    memset(h, -1, sizeof h);

    int n;
    cin >> n >> mod;
    for (int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        add(a, b), add(b, a);
    }
    dfs1(1, -1);
    g[1] = 1;
    dfs2(1, -1);
    for (int i = 1; i <= n; i++) cout << f[i] * g[i] % mod << endl;
}