#include <bits/stdc++.h>
using namespace std;
const int N = 100010;
#define int long long
#define endl "\n"
int dp1[N], dp2[N], mod;
int pro1[N], pro2[N];
vector<int> edge[N];

void dfs1(int u, int fa) {
    dp1[u] = 1;
    vector<int> edgeson;
    for (int i = 0; i < edge[u].size(); i++) {
        int v = edge[u][i];
        if (v == fa) continue;
        dfs1(v, u);
        dp1[u] = dp1[u] * (dp1[v] + 1) % mod;
        edgeson.push_back(v); // 将子节点加入集合，方便之后操作
    }
    int pre1 = 1;
    int pre2 = 1;
    for (int i = 0; i < edgeson.size(); i++) {
        pro1[edgeson[i]] = pre1;
        pre1 = pre1 * (dp1[edgeson[i]] + 1) % mod;
    } // 预处理前缀积
    for (int i = edgeson.size() - 1; i >= 0; i--) {
        pro2[edgeson[i]] = pre2;
        pre2 = pre2 * (dp1[edgeson[i]] + 1) % mod;
    } // 预处理后缀积
}
void dfs2(int u, int fa) {
    if (fa == -1)
        dp2[u] = 1; // 特判根节点
    else
        dp2[u] = (dp2[fa] * (pro1[u] * pro2[u] % mod) % mod + 1) % mod;
    for (int i = 0; i < edge[u].size(); i++) {
        if (edge[u][i] == fa) continue;
        dfs2(edge[u][i], u);
    }
}
signed main() {
    int n;
    cin >> n >> mod;
    for (int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        edge[a].push_back(b);
        edge[b].push_back(a);
    }
    dfs1(1, -1);
    dfs2(1, -1);
    for (int i = 1; i <= n; i++) cout << dp1[i] * dp2[i] % mod << endl;
}