#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000001

int main(){
	
	int N,M,K;
	cin>>N>>M>>K;
	int t = 1;
	K++;
	rep(i,N)t *= K;
	vector<vector<int>> E(N);
	rep(i,M){
		int u,v;
		cin>>u>>v;
		u--,v--;
		E[u].push_back(v);
		E[v].push_back(u);
	}
	
	vector dp(N,vector<mint>(t,0));
	t = 1;
	rep(i,N){
		dp[i][t] = 1;
		t *= K;
	}
	vector<int> x(N);
	x[0] = 1;
	rep(i,N-1)x[i+1] = x[i] * K;
	rep(j,t){
		rep(i,N){
			rep(k,E[i].size()){
				int to = E[i][k];
				int jj = j;
				jj /= x[to];
				if(jj%K==K-1)continue;
				jj = j;
				jj += x[to];
				dp[to][jj] +=dp[i][j];
			}
		}
	}
	mint ans = 0;
	rep(i,N)ans += dp[i].back();
	cout<<ans.val()<<endl;
	
	return 0;
}