無意味なサフィックスオートマトン
series.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 << '\n';
return 0;
// code end.
}