using System; using System.IO; using System.Collections.Generic; using System.Linq; using System.Numerics; using System.Runtime.CompilerServices; using System.Text; using System.Globalization; using System.Threading; using static System.Math; namespace FertiLib.Contest.C { public class Solver { Scanner sr; StreamWriter sw; bool isMultipleTestCases = false; public void Solve() { var n = sr.ReadInt(); var factor = CreateArray(n, i => i); Sieve(n, factor); var dic = new Dictionary<int, int>(); for (int i = 1; i < n; i++) { var f = new Dictionary<int, int>(); var cur = i; while (cur > 1) { if (!f.ContainsKey(factor[cur])) f.Add(factor[cur], 0); f[factor[cur]]++; cur /= factor[cur]; } cur = n - i; while (cur > 1) { if (!f.ContainsKey(factor[cur])) f.Add(factor[cur], 0); f[factor[cur]]++; cur /= factor[cur]; } foreach (var (key, value) in f) { if (!dic.ContainsKey(key)) dic.Add(key, 0); dic[key] = Max(dic[key], value); } } ModInt ans = 1; foreach (var (key, value) in dic) { ans *= ModInt.Pow(key, value); } Console.WriteLine(ans); } public void Sieve(int n, int[] factor) { for (int i = 2; i < n; i++) { if (factor[i] != i) continue; var t = i * 2; while (t < n) { factor[t] = i; t += i; } } } public Solver(Scanner cin, StreamWriter cout) { this.sr = cin; this.sw = cout; } public void Start() { int _t = 1; if (isMultipleTestCases) _t = sr.ReadInt(); while (_t-- > 0) Solve(); } public static void YESNO(bool condition) => Console.WriteLine(condition ? "YES" : "NO"); public static void YesNo(bool condition) => Console.WriteLine(condition ? "Yes" : "No"); public static void yesno(bool condition) => Console.WriteLine(condition ? "yes" : "no"); public static T SignOutput<T>(int x, T pos, T zero, T neg) => x == 0 ? zero : (x > 0 ? pos : neg); public static T[] CreateArray<T>(int n, Func<int, T> func) => Enumerable.Range(0, n).Select(p => func(p)).ToArray(); public static T[][] CreateArray<T>(int h, int w, Func<int, int, T> func) => Enumerable.Range(0, h).Select(i => Enumerable.Range(0, w).Select(j => func(i, j)).ToArray()).ToArray(); } public struct ModInt : IEquatable<ModInt> { public static long MOD = 998244353; public static bool isModPrime { get; set; } private readonly long num; public ModInt(long n) { num = n; isModPrime = true; } public override string ToString() => num.ToString(); public static ModInt operator +(ModInt l, ModInt r) { long x = l.num + r.num; if (x >= MOD) x -= MOD; return new ModInt(x); } public static ModInt operator -(ModInt l, ModInt r) { long x = l.num - r.num; if (x < 0) x += MOD; return new ModInt(x); } public static ModInt operator *(ModInt l, ModInt r) => new ModInt((l.num * r.num) % MOD); public static ModInt operator /(ModInt l, ModInt r) => l * r.Inverse(); public static ModInt operator ++(ModInt x) { var tmp = x + new ModInt(1); return tmp; } public static ModInt operator --(ModInt x) { var tmp = x - new ModInt(1); return tmp; } public static bool operator ==(ModInt l, ModInt r) => l.Equals(r); public static bool operator !=(ModInt l, ModInt r) => !l.Equals(r); public static implicit operator long(ModInt x) => x.num; public static implicit operator ModInt(long n) { n %= MOD; if (n < 0) n += MOD; return new ModInt(n); } public ModInt Inverse() => Inverse(this, MOD); public static ModInt Inverse(ModInt x) => Inverse(x.num, MOD); public static long Inverse(long x, long m) { if (x % m == 0) throw new DivideByZeroException(); long a = x, b = m, u = 1, v = 0; while (b > 0) { long t = a / b; a -= t * b; long p = a; a = b; b = p; // swap(a, b); u -= t * v; p = u; u = v; v = p; // swap(u, v); } u %= m; if (u < 0) u += m; return u; } public ModInt Pow(long n) => Pow(this, n); public static ModInt Pow(long x, long n) { if (n < 0) return Pow(x, -n).Inverse(); x %= MOD; long now = 1; if (isModPrime) n %= MOD - 1; for (; n > 0; n /= 2, x = x * x % MOD) { if (n % 2 == 1) now = now * x % MOD; } return new ModInt(now); } public bool Equals(ModInt x) => num == x.num; public override bool Equals(object obj) => obj is ModInt m && num == m.num; public override int GetHashCode() { return HashCode.Combine(num); } } public static class Program { public static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw); var cin = new Scanner(); var solver = new Solver(cin, sw); solver.Start(); Console.Out.Flush(); } } public static class Extention { public static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x); public static int UpperBound<T>(this IList<T> list, T value) => list.BinarySearch(value, true, 0, list.Count, Comparer<T>.Default); public static int LowerBound<T>(this IList<T> list, T value) => list.BinarySearch(value, false, 0, list.Count, Comparer<T>.Default); public static int BinarySearch<T>(this IList<T> list, T value, bool isUpperBound, int index, int length, Comparer<T> comparer) { var ng = index - 1; var ok = index + length; while (ok - ng > 1) { var mid = ng + (ok - ng) / 2; var res = comparer.Compare(list[mid], value); if (res < 0 || (isUpperBound && res == 0)) ng = mid; else ok = mid; } return ok; } public static bool Chmax<T>(ref this T a, T b) where T : struct, IComparable<T> { if (a.CompareTo(b) >= 0) return false; a = b; return true; } public static bool Chmin<T>(ref this T a, T b) where T : struct, IComparable<T> { if (a.CompareTo(b) <= 0) return false; a = b; return true; } } public class Scanner { string[] s; int i; char[] separator = new char[] { ' ' }; public Scanner() { s = new string[0]; i = 0; } public string Read() => ReadString(); public string ReadString() { if (i < s.Length) return s[i++]; string st = Console.ReadLine(); while (st == "") st = Console.ReadLine(); s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries); if (s.Length == 0) return ReadString(); i = 0; return s[i++]; } public string[] ReadStringArray(int N) { string[] Array = new string[N]; for (int i = 0; i < N; i++) { Array[i] = ReadString(); } return Array; } public int ReadInt() => int.Parse(ReadString()); public int[] ReadIntArray(int N, int add = 0) { int[] Array = new int[N]; for (int i = 0; i < N; i++) { Array[i] = ReadInt() + add; } return Array; } public long ReadLong() => long.Parse(ReadString()); public long[] ReadLongArray(int N, long add = 0) { long[] Array = new long[N]; for (int i = 0; i < N; i++) { Array[i] = ReadLong() + add; } return Array; } public double ReadDouble() => double.Parse(ReadString()); public double[] ReadDoubleArray(int N, double add = 0) { double[] Array = new double[N]; for (int i = 0; i < N; i++) { Array[i] = ReadDouble() + add; } return Array; } public T1 ReadValue<T1>() => (T1)Convert.ChangeType(ReadString(), typeof(T1)); public (T1, T2) ReadValue<T1, T2>() { var inputs = ReadStringArray(2); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); return (v1, v2); } public (T1, T2, T3) ReadValue<T1, T2, T3>() { var inputs = ReadStringArray(3); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); return (v1, v2, v3); } public (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>() { var inputs = ReadStringArray(4); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); return (v1, v2, v3, v4); } public (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>() { var inputs = ReadStringArray(5); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); return (v1, v2, v3, v4, v5); } public (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>() { var inputs = ReadStringArray(6); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6)); return (v1, v2, v3, v4, v5, v6); } public (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>() { var inputs = ReadStringArray(7); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6)); var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7)); return (v1, v2, v3, v4, v5, v6, v7); } public T1[] ReadValueArray<T1>(int N) { var v1 = new T1[N]; for (int i = 0; i < N; i++) { v1[i] = ReadValue<T1>(); } return v1; } public (T1[], T2[]) ReadValueArray<T1, T2>(int N) { var (v1, v2) = (new T1[N], new T2[N]); for (int i = 0; i < N; i++) { var (t1, t2) = ReadValue<T1, T2>(); v1[i] = t1; v2[i] = t2; } return (v1, v2); } public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(int N) { var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3) = ReadValue<T1, T2, T3>(); v1[i] = t1; v2[i] = t2; v3[i] = t3; } return (v1, v2, v3); } public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(int N) { var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4) = ReadValue<T1, T2, T3, T4>(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; } return (v1, v2, v3, v4); } public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(int N) { var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5) = ReadValue<T1, T2, T3, T4, T5>(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; } return (v1, v2, v3, v4, v5); } public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray<T1, T2, T3, T4, T5, T6>(int N) { var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5, t6) = ReadValue<T1, T2, T3, T4, T5, T6>(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; v6[i] = t6; } return (v1, v2, v3, v4, v5, v6); } public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray<T1, T2, T3, T4, T5, T6, T7>(int N) { var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5, t6, t7) = ReadValue<T1, T2, T3, T4, T5, T6, T7>(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; v6[i] = t6; v7[i] = t7; } return (v1, v2, v3, v4, v5, v6, v7); } } }