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#1746. 【2022.11.8 联考】回文(palindrome)

https://sjzezoj.com/submission/64047
This commit is contained in:
Baoshuo Ren 2022-11-08 17:39:09 +08:00
parent e689335869
commit de8d986270
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
30 changed files with 188 additions and 0 deletions

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#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 300005;
int q, st[N << 1][20];
std::string s;
std::vector<int> manacher(const std::string &_s) {
int n = _s.size();
std::string s(n * 2 + 3, '#');
for (int i = 0; i < n; i++) {
s[i * 2 + 2] = _s[i];
}
s[0] = '^';
s[n * 2 + 2] = '$';
std::vector<int> p(s.size(), 1);
for (int i = 1, mid = 0, r = 0; i <= n * 2 + 1; i++) {
p[i] = i < r ? std::min(p[mid * 2 - i], r - i) : 1;
while (s[i - p[i]] == s[i + p[i]]) p[i]++;
if (i + p[i] - 1 > r) {
r = i + p[i] - 1;
mid = i;
}
}
// for (int i = 0; i < n; i++) {
// p[i] = p[i * 2 + 2] / 2;
// }
// p.resize(n);
return p;
}
int query(int l, int r) {
if (l > r) return 1;
int k = std::__lg(r - l + 1);
return std::max(st[l][k], st[r - (1 << k) + 1][k]);
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> s >> q;
auto p = manacher(s);
int n = s.size();
int t = std::__lg(p.size());
for (int i = 1; i <= p.size(); i++) {
st[i][0] = p[i - 1];
}
for (int i = 1; i <= t; i++) {
for (int j = 1; j <= p.size() - (1 << i) + 1; j++) {
st[j][i] = std::max(st[j][i - 1], st[j + (1 << (i - 1))][i - 1]);
}
}
while (q--) {
int ql, qr;
cin >> ql >> qr;
ql = (ql + 1) * 2 + 1;
qr = (qr + 1) * 2 + 1;
int l = 1,
r = qr - ql + 1,
res = 1;
while (l <= r) {
int mid = l + r >> 1;
if (query(ql + mid - 1, qr - mid + 1) - 1 >= mid) {
res = mid;
l = mid + 1;
} else {
r = mid - 1;
}
}
cout << res << endl;
}
return 0;
}

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