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v.cpp
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#include<bits/stdc++.h>
using namespace std;
#define ll long long
// const int mod = 1e9 + 7;
ll int INF = 1e17;
int mod;
vector<int> adj[100005];
ll int dp1[100005];
ll int dp2[100005];
vector<ll int> pre[100005];
vector<ll int> suf[100005];
void dfs1(int node, int pn)
{
dp1[node] = 1;
for(int i=0;i<adj[node].size();i++)
if(adj[node][i] != pn)
{
dfs1(adj[node][i], node);
dp1[node] = (dp1[node] * (1 + dp1[adj[node][i]])) % mod;
}
ll int prev=1, front=1;
pre[node].resize(adj[node].size());
suf[node].resize(adj[node].size());
for(int i=0;i<adj[node].size();i++)
{
if(adj[node][i] != pn)
{
pre[node][i] = (prev * (1+dp1[adj[node][i]])) % mod;
prev = pre[node][i];
}
pre[node][i] = prev;
}
for(int i=adj[node].size()-1;i>=0;i--)
{
if(adj[node][i] != pn)
{
suf[node][i] = (front * (1+dp1[adj[node][i]])) % mod;
front = suf[node][i];
}
suf[node][i] = front;
}
return;
}
void dfs2(int node, int pn, int up)
{
dp2[node] = (1 + up) % mod;
for(int i=0;i<adj[node].size();i++)
if(adj[node][i] != pn)
{
ll int mul = dp2[node];
if(i != 0)
mul = (mul * pre[node][i-1]) % mod;
if(i != adj[node].size()-1)
mul = (mul * suf[node][i+1]) % mod;
dfs2(adj[node][i], node, mul);
}
return;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, x, y;
cin>>n>>mod;
for(int i=0;i<n-1;i++)
{
cin>>x>>y;
adj[x].push_back(y);
adj[y].push_back(x);
}
dfs1(1, -1);
dfs2(1, -1, 0);
for(int i=1;i<=n;i++)
cout<<(dp2[i] * dp1[i]) % mod<<endl;
return 0;
}