import java.io.BufferedReader import java.io.InputStream import java.io.InputStreamReader import java.util.* import kotlin.math.abs import kotlin.math.max import kotlin.math.min val MOD = 1_000_000_007 class Solver(stream: InputStream, private val out: java.io.PrintWriter) { fun solve() { val N = ni() val W = ni() val K = nl() val A = na(N) val dp = LongArray(2 * W + 1) dp[0] = 1 for (i in 1..2 * W) { for (j in 0 until N) { if (i - A[j] >= 0) dp[i] += dp[i - A[j]] } dp[i] = dp[i] % MOD } debug(dp) val a = dp[W] val b = (MOD + dp[2 * W] - a * a % MOD) % MOD debug{"$a $b"} val m = arrayOf( longArrayOf(a, b), longArrayOf(1, 0) ) val init = arrayOf( longArrayOf(a), longArrayOf(1) ) val res = mulMat(powMat(m, K, MOD), init, MOD) out.println(res[1][0]) } fun powMat(a: Array, n: Long, mod: Int): Array { if (n == 1L) return a val res = powMat(mulMat(a, a, mod), n / 2, mod) return if (n % 2 == 1L) mulMat(res, a, mod) else res } fun mulMat(a: Array, b: Array, mod: Int): Array { assert(a[0].size == b.size) val len = a[0].size val h = a.size val w = b[0].size val res = Array(h){LongArray(w)} val th = 7e18.toLong() for (i in 0 until h) { for (j in 0 until w) { var v = 0L for (k in 0 until len) { v += a[i][k] * b[k][j] if (v > th) v %= mod } res[i][j] = if (v >= mod) v % mod else v } } return res } private val isDebug = try { // なんか本番でエラーでる System.getenv("MY_DEBUG") != null } catch (t: Throwable) { false } private var tokenizer: StringTokenizer? = null private val reader = BufferedReader(InputStreamReader(stream), 32768) private fun next(): String { while (tokenizer == null || !tokenizer!!.hasMoreTokens()) { tokenizer = StringTokenizer(reader.readLine()) } return tokenizer!!.nextToken() } private fun ni() = next().toInt() private fun nl() = next().toLong() private fun ns() = next() private fun na(n: Int, offset: Int = 0): IntArray { return map(n, offset) { ni() } } private inline fun map(n: Int, offset: Int = 0, f: (Int) -> Int): IntArray { val res = IntArray(n) for (i in 0 until n) { res[i] = f(i + offset) } return res } private inline fun debug(msg: () -> String) { if (isDebug) System.err.println(msg()) } private fun debug(a: LongArray) { debug { a.joinToString(" ") } } private fun debug(a: IntArray) { debug { a.joinToString(" ") } } private fun debug(a: BooleanArray) { debug { a.map { if (it) 1 else 0 }.joinToString("") } } private fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } /** * 勝手にimport消されるのを防ぎたい */ private fun hoge() { min(1, 2) max(1, 2) abs(-10) } } fun pair(a: A, b: B) = RPair(a, b) data class RPair(val _1: A, val _2: B) fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() }