Manacher

说明

manacher算法能在接近线性的时间找到最长的回文串。

推荐一篇博客,看这篇博客看了三四次才把这个算法给搞明白->Manacher's Algorithm 马拉车算法

使用方法

  • string subStr = Manacher(string s); 返回值为最长回文串

模版

#include <vector>
#include <iostream>
#include <string>
using namespace std;
string Manacher(string s) {
    // Insert '#'
    string t = "$#";
    for (int i = 0; i < s.size(); ++i) {
        t += s[i];
        t += "#";
    }
    // Process t
    vector<int> p(t.size(), 0);
    int mx = 0, id = 0, resLen = 0, resCenter = 0;
    for (int i = 1; i < t.size(); ++i) {
        p[i] = mx > i ? min(p[2 * id - i], mx - i) : 1;
        while (t[i + p[i]] == t[i - p[i]]) ++p[i];
        if (mx < i + p[i]) {
            mx = i + p[i];
            id = i;
        }
        if (resLen < p[i]) {
            resLen = p[i];
            resCenter = i;
        }
    }
    return s.substr((resCenter - resLen) / 2, resLen - 1);
}

int main() {
    string s1 = "12212";
    cout << Manacher(s1) << endl;
    string s2 = "122122";
    cout << Manacher(s2) << endl;
    string s = "waabwswfd";
    cout << Manacher(s) << endl;
}

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