#include "bits/stdc++.h" #include #include #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define SZ(x) ((lint)(x).size()) #define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i=i##_begin_;--i) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #define endk '\n' using namespace std; typedef unsigned long long _ulong; typedef long long lint; typedef long double ld; typedef pair plint; typedef pair pld; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(30); }; } fast_ios_; template auto add = [](T a, T b) -> T { return a + b; }; template auto mul = [](T a, T b) -> T { return a * b; }; template auto f_max = [](T a, T b) -> T { return max(a, b); }; template auto f_min = [](T a, T b) -> T { return min(a, b); }; template using V = vector; using Vl = V; using VVl = V; using VVVl = V>; template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template< typename T >istream& operator>>(istream& is, vector< T >& v) { for (T& in : v) is >> in; return is; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct rec { F f; rec(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); } lint digit(lint a) { return (lint)log10(a); } lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); } bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); } const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 2e18; lint dx[8] = { 0, 1, 0, -1, 1, -1, 1, -1 }, dy[8] = { 1, 0, -1, 0, -1, -1, 1, 1 }; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; } struct Edge { lint from, to; lint cost; Edge() { } Edge(lint u, lint v, lint c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { return cost < e.cost; } }; struct WeightedEdge { lint to; lint cost; WeightedEdge(lint v, lint c) { to = v; cost = c; } bool operator<(const WeightedEdge& e) const { return cost < e.cost; } }; using WeightedGraph = V>; typedef pair tlint; typedef pair pld; typedef pair qlint; typedef pair pEd; typedef pair> vVl; typedef pair pstr; typedef pair pint; typedef pair> pset; struct RollingHash { const _ulong MASK30 = (1ULL << 30) - 1; const _ulong MASK31 = (1ULL << 31) - 1; const _ulong MOD = (1ULL << 61) - 1; const _ulong MASK61 = MOD; vector<_ulong> hashed, power; RollingHash(const string& s, _ulong base) { int sz = SZ(s); hashed.assign(sz + 1, 0); power.assign(sz + 1, 0); power[0] = 1; for (int i = 0; i < sz; i++) { power[i + 1] = mul(power[i], base); hashed[i + 1] = mul(hashed[i], base) + s[i]; if (hashed[i + 1] >= MOD) hashed[i + 1] -= MOD; } } //乱数生成、main関数にコピペする void generate_base() { _ulong base; { //乱数生成 random_device seed_gen; mt19937 engine(seed_gen()); uniform_real_distribution<> dist1(129, INT_MAX); base = dist1(engine); } } _ulong get(int l, int r) const { _ulong ret = hashed[r] + MOD - mul(hashed[l], power[r - l]); if (ret >= MOD) ret -= MOD; return ret; } //a*b mod 2^61-1を返す関数 inline _ulong mul(_ulong a, _ulong b) const { _ulong u_a = a >> 31;//aの31bit以降 _ulong d_a = a & MASK31;//aの31bit未満 _ulong u_b = b >> 31; _ulong d_b = b & MASK31; _ulong mid = d_a * u_b + u_a * d_b; _ulong u_mid = mid >> 30; _ulong d_mid = mid & MASK30; return CalcMod(u_a * u_b * 2 + u_mid + (d_mid << 31) + d_a * d_b); } //mod 2^61-1を返す関数 inline _ulong CalcMod(_ulong x) const { _ulong u_x = x >> 61; _ulong d_x = x & MASK61; _ulong res = u_x + d_x; if (res >= MOD) res -= MOD; return res; } }; #include using namespace atcoder; using mint = modint998244353; void solve() { lint N, M, K; cin >> N >> M >> K; string s, t; cin >> s >> t; reverse(ALL(t)); plint p = { 'a', 'A' }; lint ans = 0; Vl sum(N - M + 1); REP(k, 26) { REP(_, 2) { V arr(N), _arr(M); REP(i, N) if (s[i] - p.first == k) arr[i] = 1; REP(i, M) if (t[i] - p.second == k) _arr[i] = 1; auto v = convolution(arr, _arr); REP(i, N - M + 1) { sum[i] += v[i + M - 1].val(); } swap(p.first, p.second); } } _ulong base; { //乱数生成 random_device seed_gen; mt19937 engine(seed_gen()); uniform_real_distribution<> dist1(129, INT_MAX); base = dist1(engine); } REP(i, N) if ('A' <= s[i] && s[i] <= 'Z') s[i] -= 'A', s[i] += 'a'; REP(i, M) if ('A' <= t[i] && t[i] <= 'Z') t[i] -= 'A', t[i] += 'a'; reverse(ALL(t)); RollingHash rh1(s, base), rh2(t, base); REP(i, N - M + 1) { if (1 <= sum[i] && sum[i] <= K && rh1.get(i, i + M) == rh2.get(0, M)) ans++; } cout << ans << endk; } int main() { lint T = 1; //cin >> T; while (T--) solve(); }