namespace AtCoder; #nullable enable using System.Numerics; readonly record struct ModInt : IEqualityOperators, IAdditiveIdentity, IAdditionOperators, IUnaryNegationOperators, ISubtractionOperators, IMultiplicativeIdentity, IMultiplyOperators, IDivisionOperators { int V { get; init; } public const int Mod = 998244353; public ModInt(long value) { var v = value % Mod; if (v < 0) v += Mod; V = (int)v; } ModInt(int value) { V = value; } public static implicit operator ModInt(long v) => new(v); public static implicit operator int(ModInt modInt) => modInt.V; public static ModInt operator +(ModInt a, ModInt b) { var v = a.V + b.V; if (v >= Mod) v -= Mod; return new(v); } public static ModInt operator -(ModInt a) => new(a.V == 0 ? 0 : Mod - a.V); public static ModInt operator -(ModInt a, ModInt b) { var v = a.V - b.V; if (v < 0) v += Mod; return new(v); } public static ModInt operator *(ModInt a, ModInt b) => new((int)((long)a.V * b.V % Mod)); public static ModInt operator /(ModInt a, ModInt b) { if (b == 0) throw new DivideByZeroException(); var (d, x, _) = ExtendedGcd(b.V, Mod); if (d > 1) throw new DivideByZeroException(); return x * a.V; } public ModInt Power(long p) { if (p < 0) return (MultiplicativeIdentity / V).Power(-p); long res = 1; long k = V; while (p > 0) { if ((p & 1) > 0) res = res * k % Mod; k = k * k % Mod; p >>= 1; } return res; } static (long d, long x, long y) ExtendedGcd(long a, long b) { if (b == 0) return (a, 1, 0); var (d, x, y) = ExtendedGcd(b, a % b); return (d, y, x - a / b * y); } public static ModInt AdditiveIdentity => new(0); public static ModInt MultiplicativeIdentity => new(1); public override string ToString() => V.ToString(); } static class Extensions { public static T[] Repeat(this int time, Func F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); } class AtCoder { object? Solve() { var n = Int(); var az = n.Repeat(Int); var bz = new int[n]; var ez = new bool[n]; for (var i = 0; i < n; i++) { var bs = String(); if (bs == "X") { ez[i] = true; } else if (bs[^1] == 'X') { bz[i] = int.Parse(bs[0..^1]); ez[i] = true; } else bz[i] = int.Parse(bs); } var dp = new ModInt[9, 5, 34]; dp[0, 0, 0] = 1; for (var i = 0; i < n; i++) { var (a, b, e) = (az[i], bz[i], ez[i]); if (ez[i]) continue; var ep = new ModInt[9, 5, 34]; for (var t = 0; t <= 8; t++) for (var pa = 0; pa <= 4; pa++) for (var pb = 0; pb <= 33; pb++) { var v = dp[t, pa, pb]; if (v == 0) continue; ep[t, pa, pb] += v; var (nt, na, nb) = (t + 1, pa + a, pb + b); if (nt <= 8 && na <= 4 && nb <= 33) ep[nt, na, nb] += v; } dp = ep; } ModInt ans = 0; for (var i = 0; i < n; i++) { var (a, b, e) = (az[i], bz[i], ez[i]); if (!ez[i]) continue; if (b != 0) continue; ans += dp[8, 4 - a, 33]; } return ans; } public static void Main() => new AtCoder().Run(); public void Run() { var res = Solve(); if (res != null) { if (res is bool yes) res = yes ? "Yes" : "No"; sw.WriteLine(res); } sw.Flush(); } string[] input = Array.Empty(); int iter = 0; readonly StreamWriter sw = new(Console.OpenStandardOutput()) { AutoFlush = false }; string String() { while (iter >= input.Length) (input, iter) = (Console.ReadLine()!.Split(' '), 0); return input[iter++]; } T Input() where T : IParsable => T.Parse(String(), null); int Int() => Input(); void Out(object? x, string? separator = null) { separator ??= Environment.NewLine; if (x is System.Collections.IEnumerable obj and not string) { var firstLine = true; foreach (var item in obj) { if (!firstLine) sw.Write(separator); firstLine = false; sw.Write(item); } } else sw.Write(x); sw.WriteLine(); } }