namespace AtCoder; #nullable enable using System.Numerics; static class Extensions { public static T[] Repeat(this int time, Func F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); } struct FormalPowerSeries : IAdditiveIdentity, IAdditionOperators, IMultiplicativeIdentity, IUnaryNegationOperators, ISubtractionOperators, IMultiplyOperators, IDivisionOperators { public const int p = 998244353; // static int p = -1; const long small = 8; // 1L << 40; // no convolution public static int Max = -2; // x ^ 0 ... x ^ Max public long[] Series { get; private init; } public readonly int Degree => Series.Length - 1; static long Mod(long v) => (v % p + p) % p; public FormalPowerSeries(long[] series) { var indices = NonZeroValueIndices(series); var maxIndex = 0; if (indices.Length > 0) maxIndex = indices[^1]; var n = Math.Min(Max, maxIndex) + 1; var s = new long[n]; foreach (var i in indices) if (i <= n) s[i] = Mod(series[i]); Series = s; } public static implicit operator FormalPowerSeries(long[] series) => new(series); public static implicit operator FormalPowerSeries(long k) => new(new[]{ k }); public readonly long this[int index] { get => index <= Degree ? Series[index] : 0; set { Series[index] = value; } } public static FormalPowerSeries operator +(FormalPowerSeries y1, FormalPowerSeries y2) { if (y1.Degree > y2.Degree) (y1, y2) = (y2, y1); var res = new long[y2.Degree + 1]; for (var i = 0; i <= y1.Degree; i++) { var sum = y1[i] + y2[i]; if (sum >= p) sum -= p; res[i] = sum; } for (var i = y1.Degree + 1; i <= y2.Degree; i++) res[i] = y2[i]; return new(res); } public static FormalPowerSeries operator -(FormalPowerSeries y) => y * -1; public static FormalPowerSeries operator -(FormalPowerSeries y1, FormalPowerSeries y2) => y1 + y2 * -1; // y2[0] must not be zero public static FormalPowerSeries operator /(FormalPowerSeries y1, FormalPowerSeries y2) { var y2i = NonZeroValueIndices(y2.Series); if (y2i.Length < small) { var res = new long[Max + 1]; var inverse = Pow(y2[0], -1); for (var i = 0; i <= y1.Degree; i++) res[i] = Mod(y1.Series[i] * inverse); for (var i = 0; i <= Max; i++) for (var k = 1; k < y2i.Length; k++) { var j = y2i[k]; if (j == 0) continue; if (i + j > Max) break; res[i + j] = Mod(res[i + j] - Mod(res[i] * y2[j]) * inverse); } return new(res); } return y1 * y2.Inverse(); } public readonly FormalPowerSeries Inverse() { var g = new FormalPowerSeries(new long[] { Pow(Series[0], -1) }); while (g.Degree < Max) { var l = (g.Degree + 1) * 2; var f = -g * GetResizedArray(Series, l); f[0] = Mod(f[0] + 2); g = GetResizedArray((f * g).Series, l); } return g; } public static FormalPowerSeries operator *(FormalPowerSeries y1, FormalPowerSeries y2) { if (IsAdditiveIdentity(y1) || IsMultiplicativeIdentity(y2)) return y1; if (IsAdditiveIdentity(y2) || IsMultiplicativeIdentity(y1)) return y2; var (f, g) = (y1.Series, y2.Series); var fi = NonZeroValueIndices(f); var gi = NonZeroValueIndices(g); var m = f.Length + g.Length - 1; if (Math.Min(fi.Length, gi.Length) < small) { var res = new long[m]; foreach (var i in fi) foreach (var j in gi) res[i + j] = (f[i] * g[j] + res[i + j]) % p; return new(res); } var (n, shift) = (1, 0); while (n < m) (n, shift) = (n << 1, shift + 1); var ft = FastModuloTransform(GetResizedArray(f, n), shift); var gt = FastModuloTransform(GetResizedArray(g, n), shift); for (var i = 0; i < n; i++) ft[i] = ft[i] * gt[i] % p; ft = FastModuloTransform(ft, shift, true); var nInverse = Pow(n, -1); for (var i = 0; i < n; i++) ft[i] = ft[i] * nInverse % p; return new(GetResizedArray(ft, m)); } static int[] NonZeroValueIndices(long[] a) { var res = new List(); for (var i = 0; i < a.Length; i++) if (a[i] != 0) res.Add(i); return res.ToArray(); } public static FormalPowerSeries AdditiveIdentity => new(new[]{ 0L }); public static FormalPowerSeries MultiplicativeIdentity => new(new[]{ 1L }); static bool IsAdditiveIdentity(FormalPowerSeries f) => f.Series.Length == 1 && f[0] == 0; static bool IsMultiplicativeIdentity(FormalPowerSeries f) => f.Series.Length == 1 && f[0] == 1; static readonly int[] roots, rootsInverse; static FormalPowerSeries() { roots = new int[24]; rootsInverse = new int[24]; roots[23] = Pow(3, 119); rootsInverse[23] = Pow(roots[23], -1); for (var i = 23; i > 0; i--) { roots[i - 1] = (int)(1L * roots[i] * roots[i] % p); rootsInverse[i - 1] = (int)(1L * rootsInverse[i] * rootsInverse[i] % p); } } static long[] FastModuloTransform(long[] f, int shift, bool inverse = false) { var l = f.Length; if (l < 2) return f; var n = l >> 1; var f1 = new long[n]; var f2 = new long[n]; for (var i = 0; i < n; i++) { f1[i] = f[i * 2]; f2[i] = f[i * 2 + 1]; } f1 = FastModuloTransform(f1, shift - 1, inverse); f2 = FastModuloTransform(f2, shift - 1, inverse); var ft = new long[l]; long rotation = 1; var mask = n - 1; for (var i = 0; i < l; i++) { ft[i] = (rotation * f2[i & mask] + f1[i & mask]) % p; rotation = rotation * (inverse ? roots[shift] : rootsInverse[shift]) % p; } return ft; } static int Pow(long n, int m) { if (m < 0) m = (m % (p - 1)) + p - 1; var res = 1L; long k = n; while (m > 0) { if ((m & 1) > 0) res = res * k % p; k = k * k % p; m >>= 1; } return (int)res; } static long[] GetResizedArray(long[] array, int n) { var res = new long[n]; Array.Copy(array, res, Math.Min(array.Length, n)); return res; } } class RollingHash { static readonly long b = new Random().Next(int.MaxValue / 2, int.MaxValue); static long[] Digit { get; set; } = new long[]{ 1 }; long[] Hash { get; init; } public string String { get; init; } public RollingHash(string s) // chars must not be 0 { var n = s.Length; Resize(n + 1); Hash = new long[n + 1]; for (var i = 1; i <= n; i++) Hash[i] = Mod(Mul(Hash[i - 1], b) + s[i - 1]); String = s; } public long Slice(int begin) => Slice(begin, Length - begin); public long Slice(int begin, int length) => Mod(Hash[begin + length] - Mul(Hash[begin], Digit[length])); public int Length { get => Hash.Length - 1; } static void Resize(int size) { var l = Digit.Length; if (l >= size) return; while (l < size) l <<= 1; var d = new long[l]; d[0] = 1; for (var i = 1; i < l; i++) d[i] = Mod(Mul(d[i - 1], b)); Digit = d; } const long M61 = (1L << 61) - 1; const long M31 = (1L << 31) - 1; const long M30 = (1L << 30) - 1; static long Mul(long x, long y) { long xu = x >> 31; long xd = x & M31; long yu = y >> 31; long yd = y & M31; long head = xu * yu * 2; long mid = xd * yu + xu * yd; long midu = mid >> 30; long midd = mid & M30; long last = Mod(xd * yd); return Mod(head + midu + (midd << 31) + last); } static long Mod(long x) { while (x < 0) x += M61; long y = (x >> 61) + (x & M61); if (y >= M61) y -= M61; return y; } } class AtCoder { object? Solve() { var n = Int(); var m = Int(); var k = Int(); var so = String(); var t = String(); var to = new string(t.Reverse().ToArray()); FormalPowerSeries.Max = n + m + 1; var asb0 = new long[n]; var asb1 = new long[n]; for (var i = 0; i < n; i++) { if (so[i] - 'Z' <= 0) asb0[i] = 1; asb1[i] = 1 - asb0[i]; } var atb0 = new long[n]; var atb1 = new long[n]; for (var i = 0; i < m; i++) { if (to[i] - 'Z' <= 0) atb0[i] = 1; atb1[i] = 1 - atb0[i]; } var f = new FormalPowerSeries(asb0) * new FormalPowerSeries(atb1) + new FormalPowerSeries(asb1) * new FormalPowerSeries(atb0); var sh = new RollingHash(so.ToLower()); var th = new RollingHash(t.ToLower()).Slice(0); var ans = 0L; for (var i = m - 1; i < n; i++) { var b = i - m + 1; if (sh.Slice(b, m) != th) continue; if (0 < f[i] && f[i] <= k) ans++; } 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 }; #pragma warning disable IDE0051 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(); } #pragma warning restore IDE0051 }