using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray(); static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m, k) = (c[0], c[1], c[2]); var map = NMap(m); var tree = new List[n]; for (var i = 0; i < tree.Length; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0]].Add(edge[1]); tree[edge[1]].Add(edge[0]); } var p = new int[n + 1]; p[0] = 1; for (var i = 1; i <= n; ++i) p[i] = p[i - 1] * (k + 1); var bitmax = p[n]; var dp = new long[bitmax][]; for (var i = 0; i < dp.Length; ++i) dp[i] = new long[n]; for (var i = 0; i < n; ++i) dp[p[i]][i] = 1; var mod = 998_244_353; for (var b = 1; b < bitmax; ++b) { for (var i = 0; i < n; ++i) { foreach (var next in tree[i]) { var visited = b / p[next] % (k + 1); if (visited == k) continue; dp[b + p[next]][next] = (dp[b + p[next]][next] + dp[b][i]) % mod; } } } var ans = 0L; for (var i = 0; i < n; ++i) ans = (ans + dp[^1][i]) % mod; WriteLine(ans); } class Pair : IComparable { public int X; public int Y; public int Val; public Pair(int x, int y, int val) { X = x; Y = y; Val = val; } public int CompareTo(Pair b) { return Val.CompareTo(b.Val); } } class PriorityQueue where T : IComparable { public T[] List; public int Count; bool IsTopMax; public PriorityQueue(int count, bool isTopMax) { IsTopMax = isTopMax; List = new T[Math.Max(128, count)]; } public void Enqueue(T value) { if (Count == List.Length) { var newlist = new T[List.Length * 2]; for (var i = 0; i < List.Length; ++i) newlist[i] = List[i]; List = newlist; } var pos = Count; List[pos] = value; ++Count; while (pos > 0) { var parent = (pos - 1) / 2; if (Calc(List[parent], List[pos], true)) break; Swap(parent, pos); pos = parent; } } public T Dequeue() { --Count; Swap(0, Count); var pos = 0; while (true) { var child = pos * 2 + 1; if (child >= Count) break; if (child + 1 < Count && Calc(List[child + 1], List[child], false)) ++child; if (Calc(List[pos], List[child], true)) break; Swap(pos, child); pos = child; } return List[Count]; } bool Calc(T a, T b, bool equalVal) { var ret = a.CompareTo(b); if (ret == 0 && equalVal) return true; return IsTopMax ? ret > 0 : ret < 0; } void Swap(int a, int b) { var tmp = List[a]; List[a] = List[b]; List[b] = tmp; } } }