結果

問題 No.2626 Similar But Different Name
ユーザー tokusakuraitokusakurai
提出日時 2024-02-09 21:57:52
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 304 ms / 3,000 ms
コード長 11,332 bytes
コンパイル時間 2,633 ms
コンパイル使用メモリ 221,464 KB
実行使用メモリ 112,552 KB
最終ジャッジ日時 2024-02-09 21:58:03
合計ジャッジ時間 8,951 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
6,676 KB
testcase_01 AC 2 ms
6,676 KB
testcase_02 AC 2 ms
6,676 KB
testcase_03 AC 2 ms
6,676 KB
testcase_04 AC 2 ms
6,676 KB
testcase_05 AC 2 ms
6,676 KB
testcase_06 AC 2 ms
6,676 KB
testcase_07 AC 3 ms
6,676 KB
testcase_08 AC 2 ms
6,676 KB
testcase_09 AC 2 ms
6,676 KB
testcase_10 AC 3 ms
6,676 KB
testcase_11 AC 3 ms
6,676 KB
testcase_12 AC 2 ms
6,676 KB
testcase_13 AC 3 ms
6,676 KB
testcase_14 AC 4 ms
6,676 KB
testcase_15 AC 4 ms
6,676 KB
testcase_16 AC 3 ms
6,676 KB
testcase_17 AC 3 ms
6,676 KB
testcase_18 AC 280 ms
112,552 KB
testcase_19 AC 141 ms
61,284 KB
testcase_20 AC 151 ms
61,284 KB
testcase_21 AC 135 ms
61,284 KB
testcase_22 AC 303 ms
99,792 KB
testcase_23 AC 273 ms
100,088 KB
testcase_24 AC 272 ms
103,924 KB
testcase_25 AC 284 ms
105,500 KB
testcase_26 AC 277 ms
100,052 KB
testcase_27 AC 302 ms
100,508 KB
testcase_28 AC 280 ms
98,460 KB
testcase_29 AC 277 ms
103,908 KB
testcase_30 AC 275 ms
105,468 KB
testcase_31 AC 300 ms
99,292 KB
testcase_32 AC 279 ms
100,312 KB
testcase_33 AC 277 ms
100,508 KB
testcase_34 AC 281 ms
103,940 KB
testcase_35 AC 304 ms
99,452 KB
testcase_36 AC 282 ms
103,940 KB
testcase_37 AC 284 ms
112,552 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n)-1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;

template <typename T>
using maxheap = priority_queue<T>;

template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}

template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

int pct(int x) { return __builtin_popcount(x); }
int pct(ll x) { return __builtin_popcountll(x); }
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}

template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}

template <typename T>
void reorder(vector<T> &a, const vector<int> &ord) {
    int n = a.size();
    vector<T> b(n);
    for (int i = 0; i < n; i++) b[i] = a[ord[i]];
    swap(a, b);
}

template <typename T>
T floor(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? x / y : (x - y + 1) / y);
}

template <typename T>
T ceil(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? (x + y - 1) / y : x / y);
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(15);
    }
} io_setup;

constexpr int inf = (1 << 30) - 1;
constexpr ll INF = (1LL << 60) - 1;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;

template <typename T>
struct Fast_Fourier_Transform {
    using comp = complex<double>;
    static double pi;
    static vector<comp> r, ir;

    Fast_Fourier_Transform() {}

    static void init() {
        if (!r.empty()) return;
        r.resize(30), ir.resize(30);
        for (int i = 0; i < 30; i++) {
            r[i] = -polar(1.0, pi / (1 << (i + 1)));   // r[i] := 1 の 2^(i+2) 乗根
            ir[i] = -polar(1.0, -pi / (1 << (i + 1))); // ir[i] := 1/r[i]
        }
    }

    static vector<comp> to_comp(vector<T> a) {
        vector<comp> ret(a.size());
        for (int i = 0; i < (int)a.size(); i++) ret[i] = comp(a[i], 0.0);
        return ret;
    }

    static vector<T> to_T(vector<comp> a) {
        vector<T> ret(a.size(), 0);
        for (int i = 0; i < (int)a.size(); i++) ret[i] = a[i].real() + 0.1; // 整数の場合、誤差をケア
        // for(int i = 0; i < (int)a.size(); i++) ret[i] = a[i].real(); // 小数の場合
        return ret;
    }

    static void fft(vector<comp> &a) {
        init();
        int n = a.size();
        assert((n & (n - 1)) == 0);
        for (int k = n; k >>= 1;) {
            comp w = 1;
            for (int s = 0, t = 0; s < n; s += 2 * k) {
                for (int i = s, j = s + k; i < s + k; i++, j++) {
                    comp x = a[i], y = w * a[j];
                    a[i] = x + y, a[j] = x - y;
                }
                w *= r[__builtin_ctz(++t)];
            }
        }
    }

    static void ifft(vector<comp> &a) {
        init();
        int n = a.size();
        assert((n & (n - 1)) == 0);
        a.resize(n);
        for (int k = 1; k < n; k <<= 1) {
            comp w = 1;
            for (int s = 0, t = 0; s < n; s += 2 * k) {
                for (int i = s, j = s + k; i < s + k; i++, j++) {
                    comp x = a[i], y = a[j];
                    a[i] = x + y, a[j] = w * (x - y);
                }
                w *= ir[__builtin_ctz(++t)];
            }
        }
        for (auto &e : a) e /= n;
    }

    static vector<T> convolve(vector<T> a, vector<T> b) {
        int k = (int)a.size() + (int)b.size() - 1, n = 1;
        while (n < k) n <<= 1;
        vector<comp> A = to_comp(a), B = to_comp(b);
        A.resize(n), B.resize(n);
        fft(A), fft(B);
        for (int i = 0; i < n; i++) A[i] *= B[i];
        ifft(A);
        vector<T> c = to_T(A);
        c.resize(k);
        return c;
    }
};

template <typename T>
double Fast_Fourier_Transform<T>::pi = acos(-1.0);

template <typename T>
vector<complex<double>> Fast_Fourier_Transform<T>::r = vector<complex<double>>();

template <typename T>
vector<complex<double>> Fast_Fourier_Transform<T>::ir = vector<complex<double>>();

using FFT = Fast_Fourier_Transform<long long>;

struct Random_Number_Generator {
    mt19937_64 mt;

    Random_Number_Generator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {}

    int64_t operator()(int64_t l, int64_t r) {
        uniform_int_distribution<int64_t> dist(l, r - 1);
        return dist(mt);
    }

    int64_t operator()(int64_t r) { return (*this)(0, r); }
} rng;

using ull = unsigned long long;
const ull mod = (1ULL << 61) - 1;

ull hash_mod(ull x) {
    ull ret = (x >> 61) + (x & mod);
    return ret - (ret >= mod ? mod : 0);
}

ull hash_mul(ull x, ull y) {
    x = hash_mod(x), y = hash_mod(y);
    ull x1 = x >> 31, x2 = x & ((1ULL << 31) - 1), y1 = y >> 31, y2 = y & ((1ULL << 31) - 1);
    ull z = x1 * y2 + x2 * y1, z1 = z >> 30, z2 = z & ((1ULL << 30) - 1);
    return hash_mod(x1 * y1 * 2 + x2 * y2 + z1 + (z2 << 31));
}

ull hash_pow(ull x, ull n) {
    ull ret = 1;
    for (; n > 0; n >>= 1, x = hash_mul(x, x)) {
        if (n & 1) ret = hash_mul(ret, x);
    }
    return ret;
}

// m 以上の base を乱択で生成する
ull generate_base(ull m = (1ULL << 50)) {
    while (true) {
        ull k = rng(mod);
        if (gcd(mod - 1, k) != 1) continue;
        ull base = hash_pow(3, k);
        if (base >= m) return base;
    }
    return 0;
}

// 0 が含まれないように
template <typename T = string>
struct Rolling_Hash {
    const int n;
    const ull base; // 基数
    vector<ull> hashed, pw;

    Rolling_Hash(const T &s, ull base) : n(s.size()), base(base) {
        hashed.assign(n + 1, 0), pw.assign(n + 1, 1);
        for (int i = 0; i < n; i++) {
            pw[i + 1] = hash_mul(pw[i], base);
            hashed[i + 1] = hash_mul(hashed[i], base) + s[i];
            if (hashed[i + 1] >= mod) hashed[i + 1] -= mod;
        }
    }

    // 文字列の [l,r) の部分のハッシュ値
    ull get_hash(int l, int r) const {
        ull ret = hashed[r] + mod - hash_mul(hashed[l], pw[r - l]);
        return ret - (ret >= mod ? mod : 0);
    }

    ull get_all_hash() const { return hashed[n]; }

    // s[l1:r1] と s[l2:r2] の最長共通接頭辞
    int lcp(int l1, int r1, int l2, int r2) {
        int ok = 0, ng = min(r1 - l1, r2 - l2) + 1;
        while (ng - ok > 1) {
            int mid = (ok + ng) / 2;
            (get_hash(l1, l1 + mid) == get_hash(l2, l2 + mid) ? ok : ng) = mid;
        }
        return ok;
    }

    // s[l1:r1] と s[l2:r2] の辞書順大小比較 (-1 : <, 0 : =, 1 : >)
    int comp(int l1, int r1, int l2, int r2) {
        int d = lcp(l1, r1, l2, r2);
        if (r1 == l1 + d && r2 == l2 + d) return 0;
        if (r1 == l1 + d) return -1;
        if (r2 == l2 + d) return 1;
        return get_hash(l1 + d, l1 + d + 1) < get_hash(l2 + d, l2 + d + 1) ? -1 : 1;
    }
};

template <typename T>
struct Fixed_Size_Hash {
    const int n;
    const ull base;
    vector<T> v;
    ull hashed;
    vector<ull> pw;

    Fixed_Size_Hash(const vector<T> &v, ull base) : n(v.size()), base(base), v(v) {
        hashed = 0;
        pw.assign(n + 1, 1);
        for (int i = 0; i < n; i++) {
            pw[i + 1] = hash_mul(pw[i], base);
            hashed = hash_mul(hashed, base) + v[i];
            if (hashed >= mod) hashed -= mod;
        }
    }

    Fixed_Size_Hash(int m, const T &x, ull base) : Fixed_Size_Hash(vector<T>(m, x), base) {}

    ull add(int i, const T &x) {
        hashed += hash_mul(pw[n - 1 - i], mod + x);
        if (hashed >= mod) hashed -= mod;
        v[i] += x;
        return hashed;
    }

    ull change(int i, const T &x) { return add(i, x - v[i]); }

    ull get_hash() const { return hashed; }
};

void solve() {
    int N, M, K;
    cin >> N >> M >> K;

    string S, T;
    cin >> S >> T;

    swap(S, T), swap(N, M);

    auto ch = [&](char c) {
        if (!islower(c)) return char(c + 'a' - 'A');
        return c;
    };

    vector<ll> a1(N, 0), b1(M, 0), a2(N, 0), b2(M, 0);
    rep(i, N) {
        if (islower(S[i])) {
            a1[i] = 1;
        } else {
            a2[i] = 1;
        }
        S[i] = ch(S[i]);
    }

    rep(i, M) {
        if (islower(T[i])) {
            b1[i] = 1;
        } else {
            b2[i] = 1;
        }
        T[i] = ch(T[i]);
    }

    ull base = generate_base();

    Rolling_Hash rhs(S, base), rht(T, base);

    ull h = rhs.get_all_hash();

    reverse(all(a1)), reverse(all(a2));
    auto c1 = FFT::convolve(a1, b1);
    auto c2 = FFT::convolve(a2, b2);
    // print(a), print(b), print(c);

    int ans = 0;

    rep(i, M - N + 1) {
        if (rht.get_hash(i, i + N) == h) {
            int len = c1[i + N - 1] + c2[i + N - 1];
            len = N - len;
            if (1 <= len && len <= K) ans++;
        }
    }

    cout << ans << '\n';
}

int main() {
    int T = 1;
    // cin >> T;
    while (T--) solve();
}
0