#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ull unsigned long long
#define pii pair<int,int>
#define fir first
#define sec second
#define chmin(a,b) a=min(a,b)
#define chmax(a,b) a=max(a,b)
#define pb push_back
const int inf=0x3f3f3f3f3f3f3f3f;
const int mod=998244353;
int n,ans[210],dp[210][210],deg[210],pd[210];
vector<int>g[210];
int c[1LL<<18],pc[1LL<<18];
void out(int u)
{
	cout<<"u="<<u<<":";
	for(int i=0;i<=n;i++)cout<<dp[u][i]<<" ";
	cout<<endl;
}
void dfs(int u,int f)
{
	for(auto v:g[u])
		if(v!=f)
		{
			deg[u]++;
			dfs(v,u);
		}
	if(!deg[u])for(int i=0;i<=n;i++)dp[u][i]=1;
	else
	{
		int m=deg[u];
//		memset(c,0,sizeof(c));
		for(int i=(1LL<<m)-1;i>0;i--)c[i]=0;
		c[0]=1;
		for(auto v:g[u])
		{
			if(v==f)continue;
			memset(pd,0,sizeof(pd));
			for(int i=0;i<=n;i++)(pd[min(i,m)]+=dp[v][i])%=mod;
			for(int i=(1LL<<m)-1;i>=0;i--)pc[i]=c[i],c[i]=0;
			for(int i=(1LL<<m)-1;i>=0;i--)
				for(int j=0;j<=m;j++)
					(c[j==m?i:(i|(1LL<<j))]+=pc[i]*pd[j]%mod)%=mod;
//			cout<<"!v="<<v<<endl;
//			cout<<" --- "<<u<<" "<<m<<endl;
//			for(int i=0;i<(1LL<<m);i++)cout<<"    ---    "<<i<<" "<<c[i]<<endl;
					
		}
//		cout<<"  "<<u<<" "<<m<<endl;
//		for(int i=0;i<(1LL<<m);i++)cout<<"        "<<i<<" "<<c[i]<<endl;
		for(int i=0;i<(1LL<<m);i++)
		{
			int mex;
			for(int j=0;j<=m;j++)
				if(!(i&(1LL<<j)))
				{
					mex=j;
					break;
				}
			(dp[u][mex]+=c[i])%=mod;
		}
	}
//	out(u);
}

signed main()
{
//	freopen("mex.in","r",stdin);
//	freopen("mex.out","w",stdout);
	cin>>n;
	for(int i=1;i<n;i++)
	{
		int u,v;
		cin>>u>>v;
		g[u].pb(v);
		g[v].pb(u);
	}
	dfs(1,0);
	for(int i=0;i<=n;i++)cout<<dp[1][i]<<endl;
	return 0;
}