#include #include #define rep(i, a, b) for (ll i = (ll)(a); i < (ll)(b); i++) using namespace std; using namespace atcoder; typedef long long ll; struct RollingHash { int n; static const ll base1 = 1009; static const ll base2 = 2009; static const ll mod1 = 1000000007; static const ll mod2 = 1000000009; vector hash1, hash2, pow1, pow2; RollingHash() {} RollingHash(const string &S) { n = (int)S.size(); hash1.assign(n + 1, 0); hash2.assign(n + 1, 0); pow1.assign(n + 1, 1); pow2.assign(n + 1, 1); for (int i = 0; i < n; ++i) { hash1[i + 1] = (hash1[i] * base1 + S[i]) % mod1; hash2[i + 1] = (hash2[i] * base2 + S[i]) % mod2; pow1[i + 1] = (pow1[i] * base1) % mod1; pow2[i + 1] = (pow2[i] * base2) % mod2; } } /** * S の [l, r) のハッシュ値を返す * O(1) */ inline pair get(int l, int r) const { ll res1 = hash1[r] - hash1[l] * pow1[r - l] % mod1; if (res1 < 0) res1 += mod1; ll res2 = hash2[r] - hash2[l] * pow2[r - l] % mod2; if (res2 < 0) res2 += mod2; return make_pair(res1, res2); } /** * S のハッシュ値を返す * O(1) */ inline pair hash() const { return get(0, (int)hash1.size() - 1); } /** * LCP (Longest Common Prefix) * O( log N ) */ inline int getLCP(int a, int b) const { int len = min((int)hash1.size() - a, (int)hash1.size() - b); int low = 0, high = len; while (high - low > 1) { int mid = (low + high) >> 1; if (get(a, a + mid) != get(b, b + mid)) high = mid; else low = mid; } return low; } /** * hash h1 と 長さ h2_len の文字列の hash h2 を結合 */ pair concat(pair h1, pair h2, ll h2_len) { return make_pair((h1.first * pow1[h2_len] + h2.first) % mod1, (h1.second * pow2[h2_len] + h2.second) % mod2); } /** * 文字列の最小周期を返す */ int max_repeat(bool multiple_only = false) { for (int i = 1; i < n; i++) { if (multiple_only && n % i != 0) continue; if (n - i < i) break; if (get(0, n - i) == get(i, n)) { return i; } } return n; } /** * hash h を count 回結合 (WIP) */ pair times(pair h, ll len, ll count) { pair ret = {0, 0}, now = h; ll pw = 1; while (count) { if (count & 1) ret = concat(ret, now, len * pw); now = concat(now, now, len * pw); count >>= 1; pw <<= 1; } return ret; } }; template vector convolution_rev(vector a, vector b) { int n = a.size(); int m = b.size(); reverse(b.begin(), b.end()); auto v = convolution_ll(a, b); vector ret(n - m + 1); rep(i, 0, n - m + 1) ret[i] = v[i + m - 1]; return ret; } int main() { int n, m, k; string s, t; cin >> n >> m >> k >> s >> t; string sb = s, tb = t; rep(i, 0, sb.size()) sb[i] = toupper(sb[i]); rep(i, 0, tb.size()) tb[i] = toupper(tb[i]); RollingHash rsb(sb), rtb(tb); vector cnt(n - m + 1, 0); vector a(n), b(m); rep(i, 0, 52) { char c = (i < 26 ? 'a' + i : 'A' + i - 26); char C = (i < 26 ? 'A' + i : 'a' + i - 26); rep(j, 0, n) { if (s[j] == c) a[j] = 1; else a[j] = 0; } rep(i, 0, m) { if (t[i] == C) b[i] = 1; else b[i] = 0; } auto v = convolution_rev(a, b); rep(j, 0, n - m + 1) cnt[j] += v[j]; } int ans = 0; rep(i, 0, n - m + 1) { if (rsb.get(i, i + m) == rtb.get(0, m) && cnt[i] > 0 && cnt[i] <= k) { ans++; } } cout << ans << endl; }