using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static long[] NList => ReadLine().Split().Select(long.Parse).ToArray(); static long[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m, t) = (c[0], c[1], c[2]); var map = NArr(m); var a = new long[1][]; a[0] = new long[n]; a[0][0] = 1; var x = new long[n][]; for (var i = 0; i < x.Length; ++i) x[i] = new long[n]; foreach (var edge in map) { x[edge[0]][edge[1]] = 1; x[edge[1]][edge[0]] = 1; } var b = Matrix.Mul(a, Matrix.Pow(x, t)); WriteLine(b[0][0]); } class Matrix { static int mod = 998_244_353; // 行列の累乗 public static long[][] Pow(long[][] m, long k) { var multi = m; var r = new long[m.Length][]; for (var i = 0; i < m.Length; ++i) { r[i] = new long[m.Length]; r[i][i] = 1; } while (k > 0) { if ((k & 1) == 1) r = Mul(r, multi); multi = Mul(multi, multi); k >>= 1; } return r; } // 行列の積 public static long[][] Mul(long[][] x, long[][] y) { var r = new long[x.Length][]; for (var i = 0; i < x.Length; ++i) r[i] = new long[y[0].Length]; for (var i = 0; i < x.Length; ++i) for (var k = 0; k < x[0].Length; ++k) { for (var j = 0; j < y[0].Length; ++j) r[i][j] = (r[i][j] + x[i][k] * y[k][j]) % mod; } return r; } } }