import java.io.PrintWriter import java.math.BigInteger import java.util.* // region ModInt class ModInt(x: Long) { companion object { //const val MOD = 1000000007L const val MOD = 998244353L } constructor(y: Int) : this(y.toLong()) val x = (x % MOD + MOD) % MOD operator fun plus(other: ModInt): ModInt { return ModInt(x + other.x) } operator fun minus(other: ModInt): ModInt { return ModInt(x - other.x) } operator fun times(other: ModInt): ModInt { return ModInt(x * other.x) } operator fun div(other: ModInt): ModInt { return this * other.inv() } fun pow(exp: Long): ModInt { if (exp == 0L) return ModInt(1L) var a = pow(exp shr 1) a *= a if (exp and 1L == 0L) return a return this * a } fun inv(): ModInt { return this.pow(MOD - 2) } override fun equals(other: Any?): Boolean { if (this === other) return true if (javaClass != other?.javaClass) return false other as ModInt if (x != other.x) return false return true } override fun hashCode(): Int { return x.hashCode() } override fun toString(): String { return "$x" } } fun Long.toModInt(): ModInt { return ModInt(this) } fun Int.toModInt(): ModInt { return ModInt(this) } const val fac_size = 600000 var fac_initialized = false val arr_fac = Array(fac_size) { ModInt(1) } val arr_invfac = Array(fac_size) { ModInt(1) } fun facInitialize() { for (i in 1 until fac_size) { arr_fac[i] = arr_fac[i - 1] * ModInt(i) } arr_invfac[fac_size - 1] = arr_fac[fac_size - 1].inv() for (i in fac_size - 2 downTo 1) { arr_invfac[i] = arr_invfac[i + 1] * ModInt(i + 1) } fac_initialized = true } fun fac(n: Int): ModInt { if (!fac_initialized) facInitialize() return arr_fac[n] } fun fac(n: Long): ModInt { return fac(n.toInt()) } fun invfac(n: Int): ModInt { if (!fac_initialized) facInitialize() return arr_invfac[n] } fun invfac(n: Long): ModInt { return invfac(n.toInt()) } fun comb(n: Long, k: Long): ModInt { return if (k in 0..n) { if (!fac_initialized) facInitialize() arr_fac[n.toInt()] * arr_invfac[k.toInt()] * arr_invfac[(n - k).toInt()] } else { ModInt(0) } } fun comb2(n: Long, k: Long): ModInt { var numer = ModInt(1) var denom = ModInt(1) for (i in 0 until k) { numer *= ModInt(n - i) denom *= ModInt(k - i) } return numer / denom } // endregion fun PrintWriter.solve() { val n = nextLong() // region divisors val number = n val divs = mutableListOf() var divisor = 1L while (divisor * divisor <= number) { if (number % divisor == 0L) { divs.add(divisor) if (divisor * divisor != number) { divs.add(number / divisor) } } divisor++ } // endregion val lst = if (divs.size == 2) { (1 until n) } else { (1..n).filter { it != n - 1 } } val map = mutableMapOf() for (m in lst) { // region prime factorization var number = m var divisor = 2L val pf = mutableMapOf() while (divisor * divisor <= number) { var count = 0 while (number % divisor == 0L) { number /= divisor count++ } if (count > 0) { pf[divisor] = count } divisor++ } if (number > 1) pf[number] = 1 // endregion for ((p, e) in pf) { map[p] = maxOf(map[p] ?: 0, e) } } val num = map.map { ModInt(it.key).pow(it.value.toLong()) }.fold(ModInt(1), { x, y -> x * y }) println(num) } fun main() { val writer = PrintWriter(System.out, false) writer.solve() writer.flush() } // region Scanner private var st = StringTokenizer("") private val br = System.`in`.bufferedReader() fun next(): String { while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine()) return st.nextToken() } fun nextInt() = next().toInt() fun nextLong() = next().toLong() fun nextLine() = br.readLine()!! fun nextDouble() = next().toDouble() // endregion