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  • #6198. 谢特 [后缀自动机,01trie合并,启发式合并]

    没啥意思的后缀自动机系列.jpg
    怎么开心怎么搞.jpg

    // powered by c++11
    // by Isaunoya
    #include <bits/stdc++.h>
    
    #define rep(i, x, y) for (register int i = (x); i <= (y); ++i)
    #define Rep(i, x, y) for (register int i = (x); i >= (y); --i)
    
    using namespace std;
    using db = double;
    using ll = long long;
    using uint = unsigned int;
    using ull = unsigned long long;
    
    #define pii pair<int, int>
    #define fir first
    #define sec second
    
    template <class T>
    
    void cmax(T& x, const T& y) {
      if (x < y) x = y;
    }
    
    template <class T>
    
    void cmin(T& x, const T& y) {
      if (x > y) x = y;
    }
    
    #define all(v) v.begin(), v.end()
    #define sz(v) ((int)v.size())
    #define pb emplace_back
    
    template <class T>
    
    void sort(vector<T>& v) {
      sort(all(v));
    }
    
    template <class T>
    
    void reverse(vector<T>& v) {
      reverse(all(v));
    }
    
    template <class T>
    
    void unique(vector<T>& v) {
      sort(all(v)), v.erase(unique(all(v)), v.end());
    }
    
    void reverse(string& s) { reverse(s.begin(), s.end()); }
    
    const int io_size = 1 << 23 | 233;
    const int io_limit = 1 << 22;
    struct io_in {
      char ch;
    #ifndef __WIN64
      char getchar() {
        static char buf[io_size], *p1 = buf, *p2 = buf;
    
        return (p1 == p2) && (p2 = (p1 = buf) + fread(buf, 1, io_size, stdin), p1 == p2) ? EOF : *p1++;
      }
    #endif
      io_in& operator>>(char& c) {
        for (c = getchar(); isspace(c); c = getchar())
          ;
    
        return *this;
      }
      io_in& operator>>(string& s) {
        for (s.clear(); isspace(ch = getchar());)
          ;
    
        if (!~ch) return *this;
    
        for (s = ch; !isspace(ch = getchar()) && ~ch; s += ch)
          ;
    
        return *this;
      }
    
      io_in& operator>>(char* str) {
        char* cur = str;
        while (*cur) *cur++ = 0;
    
        for (cur = str; isspace(ch = getchar());)
          ;
        if (!~ch) return *this;
    
        for (*cur = ch; !isspace(ch = getchar()) && ~ch; *++cur = ch)
          ;
    
        return *++cur = 0, *this;
      }
    
      template <class T>
    
      void read(T& x) {
        bool f = 0;
        while ((ch = getchar()) < 48 && ~ch) f ^= (ch == 45);
    
        x = ~ch ? (ch ^ 48) : 0;
        while ((ch = getchar()) > 47) x = x * 10 + (ch ^ 48);
        x = f ? -x : x;
      }
    
      io_in& operator>>(int& x) { return read(x), *this; }
    
      io_in& operator>>(ll& x) { return read(x), *this; }
    
      io_in& operator>>(uint& x) { return read(x), *this; }
    
      io_in& operator>>(ull& x) { return read(x), *this; }
    
      io_in& operator>>(db& x) {
        read(x);
        bool f = x < 0;
        x = f ? -x : x;
        if (ch ^ '.') return *this;
    
        double d = 0.1;
        while ((ch = getchar()) > 47) x += d * (ch ^ 48), d *= .1;
        return x = f ? -x : x, *this;
      }
    } in;
    
    struct io_out {
      char buf[io_size], *s = buf;
      int pw[233], st[233];
    
      io_out() {
        set(7);
        rep(i, pw[0] = 1, 9) pw[i] = pw[i - 1] * 10;
      }
    
      ~io_out() { flush(); }
    
      void io_chk() {
        if (s - buf > io_limit) flush();
      }
    
      void flush() { fwrite(buf, 1, s - buf, stdout), fflush(stdout), s = buf; }
    
      io_out& operator<<(char c) { return *s++ = c, *this; }
    
      io_out& operator<<(string str) {
        for (char c : str) *s++ = c;
        return io_chk(), *this;
      }
    
      io_out& operator<<(char* str) {
        char* cur = str;
        while (*cur) *s++ = *cur++;
        return io_chk(), *this;
      }
    
      template <class T>
    
      void write(T x) {
        if (x < 0) *s++ = '-', x = -x;
    
        do {
          st[++st[0]] = x % 10, x /= 10;
        } while (x);
    
        while (st[0]) *s++ = st[st[0]--] ^ 48;
      }
    
      io_out& operator<<(int x) { return write(x), io_chk(), *this; }
    
      io_out& operator<<(ll x) { return write(x), io_chk(), *this; }
    
      io_out& operator<<(uint x) { return write(x), io_chk(), *this; }
    
      io_out& operator<<(ull x) { return write(x), io_chk(), *this; }
    
      int len, lft, rig;
    
      void set(int _length) { len = _length; }
    
      io_out& operator<<(db x) {
        bool f = x < 0;
        x = f ? -x : x, lft = x, rig = 1. * (x - lft) * pw[len];
        return write(f ? -lft : lft), *s++ = '.', write(rig), io_chk(), *this;
      }
    } out;
    #define int long long
    
    template <int sz, int mod>
    
    struct math_t {
      math_t() {
        fac.resize(sz + 1), ifac.resize(sz + 1);
        rep(i, fac[0] = 1, sz) fac[i] = fac[i - 1] * i % mod;
    
        ifac[sz] = inv(fac[sz]);
        Rep(i, sz - 1, 0) ifac[i] = ifac[i + 1] * (i + 1) % mod;
      }
    
      vector<int> fac, ifac;
    
      int qpow(int x, int y) {
        int ans = 1;
        for (; y; y >>= 1, x = x * x % mod)
          if (y & 1) ans = ans * x % mod;
        return ans;
      }
    
      int inv(int x) { return qpow(x, mod - 2); }
    
      int C(int n, int m) {
        if (n < 0 || m < 0 || n < m) return 0;
        return fac[n] * ifac[m] % mod * ifac[n - m] % mod;
      }
    };
    
    int gcd(int x, int y) { return !y ? x : gcd(y, x % y); }
    int lcm(int x, int y) { return x * y / gcd(x, y); }
    
    int n;
    const int maxn = 2e5 + 52;
    char str[maxn];
    int w[maxn];
    set<int> s[maxn];
    vector<int> g[maxn];
    
    int rt[maxn];
    struct trie {
      int ch[maxn << 7][2], cnt;
      trie() { cnt = 0; }
      
      void ins(int &p, int v) {
        if (!p) p = ++cnt;
        int np = p;
        for (int i = 20; ~i; i--) {
          int c = (v >> i) & 1;
          if (!ch[np][c]) ch[np][c] = ++cnt;
          np = ch[np][c];
        }
      }
    
      int merge(int x, int y) {
        if (!x || !y) return x | y;
        ch[x][0] = merge(ch[x][0], ch[y][0]);
        ch[x][1] = merge(ch[x][1], ch[y][1]);
        return x;
      }
    
      int qry(int p, int v) {
        if (!p) return 0;
        int res = 0;
        for (int i = 20; ~i; i--) {
          int c = (v >> i) & 1;
          if (ch[p][c ^ 1]) {
            p = ch[p][c ^ 1];
            res |= 1 << i;
          } else {
            p = ch[p][c];
          }
        }
        return res;
      }
    } tr;
    
    struct suffixautomaton {
      int ch[maxn][26], fa[maxn], len[maxn], cnt, las;
    
      suffixautomaton() { cnt = las = 1; }
    
      void ins(int c, int v, int id) {
        int p = las, np = las = ++cnt;
        tr.ins(rt[np], v), len[np] = len[p] + 1, s[np].insert(id);
        for (; p && !ch[p][c]; p = fa[p]) ch[p][c] = np;
        if (!p) {
          fa[np] = 1;
        } else {
          int q = ch[p][c];
          if (len[q] == len[p] + 1) {
            fa[np] = q;
          } else {
            int nq = ++cnt;
            fa[nq] = fa[q], fa[q] = fa[np] = nq, len[nq] = len[p] + 1;
            memcpy(ch[nq], ch[q], sizeof(ch[q]));
            for (; p && ch[p][c] == q; p = fa[p]) ch[p][c] = nq;
          }
        }
      }
    
      void build() {
        for (int i = 2; i <= cnt; i++) g[fa[i]].pb(i);
      }
    } sam;
    
    int ans = 0;
    
    void merge(int u, int v, int len) {
      if (sz(s[u]) < sz(s[v])) { swap(s[u], s[v]), swap(rt[u], rt[v]); }
      for (int x : s[v]) { cmax(ans, len + tr.qry(rt[u], w[x])), s[u].insert(x); }
      rt[u] = tr.merge(rt[u], rt[v]), s[v].clear();
    }
    
    void dfs(int u) { for (int v : g[u]) { dfs(v); merge(u, v, sam.len[u]); } }
    
    signed main() {
      // code begin.
      in >> n, in >> str;
      for (int i = 0; i < n; i++) in >> w[i];
      reverse(str, str + n), reverse(w, w + n);
      for (int i = 0; i < n; i++) { sam.ins(str[i] - 'a', w[i], i); }
      sam.build(), dfs(1), out << ans << '
    ';
      return 0;
      // code end.
    }
    
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  • 原文地址:https://www.cnblogs.com/Isaunoya/p/12701116.html
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