#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; vector Z_algorithm(string S) { vectorZ(S.size()); Z[0] = S.size(); int i = 1,j = 0; while(i < S.size()) { while(i+j < S.size() && S[i+j] == S[j]) { j++; } Z[i] = j; if(j == 0) { i++; continue; } int k = 1; while(k+Z[k] < j) { Z[i+k] = Z[k]; k++; } i += k; j -= k; } return Z; } namespace FastFourierTransform { using real = double; struct C { real x, y; C() : x(0), y(0) {} C(real x, real y) : x(x), y(y) {} inline C operator+(const C &c) const { return C(x + c.x, y + c.y); } inline C operator-(const C &c) const { return C(x - c.x, y - c.y); } inline C operator*(const C &c) const { return C(x * c.x - y * c.y, x * c.y + y * c.x); } inline C conj() const { return C(x, -y); } }; const real PI = acosl(-1); int base = 1; vector< C > rts = { {0, 0}, {1, 0} }; vector< int > rev = {0, 1}; void ensure_base(int nbase) { if(nbase <= base) return; rev.resize(1 << nbase); rts.resize(1 << nbase); for(int i = 0; i < (1 << nbase); i++) { rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (nbase - 1)); } while(base < nbase) { real angle = PI * 2.0 / (1 << (base + 1)); for(int i = 1 << (base - 1); i < (1 << base); i++) { rts[i << 1] = rts[i]; real angle_i = angle * (2 * i + 1 - (1 << base)); rts[(i << 1) + 1] = C(cos(angle_i), sin(angle_i)); } ++base; } } void fft(vector< C > &a, int n) { assert((n & (n - 1)) == 0); int zeros = __builtin_ctz(n); ensure_base(zeros); int shift = base - zeros; for(int i = 0; i < n; i++) { if(i < (rev[i] >> shift)) { swap(a[i], a[rev[i] >> shift]); } } for(int k = 1; k < n; k <<= 1) { for(int i = 0; i < n; i += 2 * k) { for(int j = 0; j < k; j++) { C z = a[i + j + k] * rts[j + k]; a[i + j + k] = a[i + j] - z; a[i + j] = a[i + j] + z; } } } } vector< long long > multiply(const vector< int > &a, const vector< int > &b) { int need = (int) a.size() + (int) b.size() - 1; int nbase = 1; while((1 << nbase) < need) nbase++; ensure_base(nbase); int sz = 1 << nbase; vector< C > fa(sz); for(int i = 0; i < sz; i++) { int x = (i < (int) a.size() ? a[i] : 0); int y = (i < (int) b.size() ? b[i] : 0); fa[i] = C(x, y); } fft(fa, sz); C r(0, -0.25 / (sz >> 1)), s(0, 1), t(0.5, 0); for(int i = 0; i <= (sz >> 1); i++) { int j = (sz - i) & (sz - 1); C z = (fa[j] * fa[j] - (fa[i] * fa[i]).conj()) * r; fa[j] = (fa[i] * fa[i] - (fa[j] * fa[j]).conj()) * r; fa[i] = z; } for(int i = 0; i < (sz >> 1); i++) { C A0 = (fa[i] + fa[i + (sz >> 1)]) * t; C A1 = (fa[i] - fa[i + (sz >> 1)]) * t * rts[(sz >> 1) + i]; fa[i] = A0 + A1 * s; } fft(fa, sz >> 1); vector< long long > ret(need); for(int i = 0; i < need; i++) { ret[i] = llround(i & 1 ? fa[i >> 1].y : fa[i >> 1].x); } return ret; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N,M,K; cin >> N >> M >> K; string S,T; cin >> S >> T; string R = T+S; for(int i = 0; i < R.size(); i++) { if('A' <= R[i] && R[i] <= 'Z') { R[i] = (char)(R[i]-'A'+'a'); } } vectora = Z_algorithm(R); vectorb(N),c(M),b2(N,1),c2(M,1); for(int i = 0; i < S.size(); i++) { if('A' <= S[i] && S[i] <= 'Z') { b[i] = 1; b2[i] = 0; } } for(int i = 0; i < T.size(); i++) { if('a' <= T[i] && T[i] <= 'z') { c[T.size()-i-1] = 1; c2[T.size()-i-1] = 0; } } vectord = FastFourierTransform::multiply(b,c); vectord2 = FastFourierTransform::multiply(b2,c2); int ans = 0; for(int i = 0; i+M <= N; i++) { int now = d[M-1+i]+d2[M-1+i]; if(a[i+M] >= M && 1 <= now && now <= K) { ans++; } } cout << ans << "\n"; }