import java.io.BufferedReader import java.io.InputStream import java.io.InputStreamReader import java.lang.AssertionError import java.util.* import kotlin.math.abs import kotlin.math.max import kotlin.math.min val MOD = 1_000_000_007 tailrec fun gcd(a: Long, b: Long): Long { if (b == 0L) return abs(a) return gcd(b, a % b) } /** * (0, 1) 0, 1はなし */ data class Frac(val a: Long, val b: Long) { operator fun times(f: Frac) = frac(a*f.a, b*f.b) operator fun div(f: Frac) = frac(a*f.b, b*f.a) fun comp() = frac(b - a, b) } fun frac(a0: Long, b0: Long) = run { val g = gcd(a0, b0) Frac(a0/g, b0/g) } class Solver(stream: InputStream, private val out: java.io.PrintWriter) { private val reader = BufferedReader(InputStreamReader(stream), 32768) fun solve() { val N = ni() val K = ni() - 1 val A = nal(N) fun create(A: LongArray) = run { val L = arrayOfNulls(N) as Array L[0] = frac(1, 1) L[N - 1] = frac(0, 1) for (i in 1 until N - 1) { val pl = frac(A[i - 1], A[i - 1] + A[i + 1]) val a = pl*L[i - 1] val r = L[i - 1].comp()*pl L[i] = a / r.comp() } L } val L = create(A) debug{"${L.joinToString(" ")}"} val ans = when(K) { 0 -> "0" N - 1 -> "1/1" else -> { var ans = frac(1, 1) for (i in K until N - 1) { ans *= L[i].comp() } "${ans.a}/${ans.b}" } } out.println(ans) } 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 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 IntArray(n) { ni() + offset } } private fun nal(n: Int, offset: Int = 0): LongArray { val res = LongArray(n) for (i in 0 until n) { res[i] = nl() + offset } return res } private fun na2(n: Int, offset: Int = 0): Array { val a = Array(2){IntArray(n)} for (i in 0 until n) { for (e in a) { e[i] = ni() + offset } } return a } private inline fun debug(msg: () -> String) { if (isDebug) System.err.println(msg()) } /** * コーナーケースでエラー出たりするので、debug(dp[1])のように添え字付きの場合はdebug{}をつかうこと */ private inline fun debug(a: LongArray) { debug { a.joinToString(" ") } } private inline fun debug(a: IntArray) { debug { a.joinToString(" ") } } private inline fun debug(a: BooleanArray) { debug { toString(a) } } private inline fun toString(a: BooleanArray) = run{a.map { if (it) 1 else 0 }.joinToString("")} private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline 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) } private inline fun assert(b: Boolean) = run{if (!b) throw AssertionError()} private inline fun assert(b: Boolean, f: () -> String) = run{if (!b) throw AssertionError(f())} } fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() }