const val MOD = 998244353

class Matrix(val row: Int, val column: Int, val state: Array<LongArray>) {
    constructor(row: Int, column: Int): this(row, column, Array(row){ LongArray(column) })
    operator fun times(other: Matrix): Matrix {
        require(column == other.row)
        val result = Array(row){LongArray(other.column)}
        for (i in 0 until row) {
            for (j in 0 until other.column) {
                var sum = 0L
                for (k in 0 until column) {
                    sum += state[i][k] * other.state[k][j] % MOD
                }
                result[i][j] = sum % MOD
            }
        }
        return Matrix(row, other.column, result)
    }
    fun pow(exp: Long): Matrix {
        require(row == column)
        var e = exp
        var result = E(row)
        var b = this
        while (e > 0) {
            if (e and 1 == 1L) {
                result *= b
            }
            e = e shr 1
            b *= b
        }
        return result
    }
    companion object {
        fun E(size: Int): Matrix {
            return Matrix(size, size, Array(size){i -> LongArray(size){j -> if (i == j) 1 else 0} })
        }
    }
}

fun main() {
    val (n, m, t) = readLine()!!.trim().split(' ').let{(n, m, t) -> Triple(n.toInt(), m.toInt(), t.toLong())}
    val roads = List(m){
        val (u, v) = readLine()!!.trim().split(' ').map(String::toInt)
        u to v
    }
    val matrix = Matrix(n, n)
    for ((u, v) in roads) {
        matrix.state[u][v] += 1L
        matrix.state[v][u] += 1L
    }
    val initial = Matrix(n, 1).also { it.state[0][0] = 1L }
    val result = matrix.pow(t) * initial
    println(result.state[0][0])
}