最长重复子串(不可重叠) Java

今天笔试碰到了这道题,记录一下做法,采用的是后缀数组

题目描述:输入一个字符串,计算出字符串中两个最长重复子串,要求两个子串位置不能重叠

输入:ababababc
输出:4,因为abab和后面的abab重复,最长为4

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String s = sc.next();
        int res = maxRepeatSubString(s);
        System.out.println("最长无重叠重复子串长度为:"+res);
    }
    public static int maxRepeatSubString(String src) {
        SuffixArray.Suff[] sa = SuffixArray.getSa2(src);
        int[] height = SuffixArray.getHeight(src, sa);
        int maxHeight = 0;
        int maxIndex = -1;
        for (int i = 0; i < height.length; i++) {
            if (height[i] > maxHeight) {
                maxHeight = height[i];
                maxIndex = i;
            }
        }
        int index = sa[maxIndex].index;
        return maxHeight;
    }
}

class SuffixArray {
    public static void main(String[] args) {
        match();
    }

    static void match(){
        String s = "ABABABABB";
        String p = "BABB";
        Suff[] sa = getSa2(s); // 后缀数组
        int l = 0;
        int r = s.length()-1;
        while(r>=l){
            int mid = l + ((r-l)>>1);
            // 居中的后缀
            Suff midSuff = sa[mid];
            String suffStr = s.substring(midSuff.index);
            int compareRes;
            if (suffStr.length()>=p.length()) {
                compareRes = suffStr.substring(0, p.length()).compareTo(p);
            }else {
                compareRes = suffStr.compareTo(p);
            }
            if(compareRes == 0){
                System.out.println(midSuff.index);
                break;
            }else if (compareRes<0) {
                l = mid + 1;
            }else {
                r = mid - 1;
            }
        }
    }

    public static Suff[] getSa2(String src) {
        int n = src.length();
        Suff[] sa = new Suff[n];
        for (int i = 0; i < n; i++) {
            sa[i] = new Suff(src.charAt(i), i, src);// 存单个字符,接下来排序
        }
        Arrays.sort(sa);

        /** rk是下标到排名的映射 */
        int[] rk = new int[n];// suffix array
        rk[sa[0].index] = 1;
        for (int i = 1; i < n; i++) {
            rk[sa[i].index] = rk[sa[i - 1].index];
            if (sa[i].c != sa[i - 1].c)
                rk[sa[i].index]++;
        }
        for (int k = 2; rk[sa[n - 1].index] < n; k *= 2) {

            final int kk = k;
            Arrays.sort(sa, (o1, o2) -> {
                // 不是基于字符串比较,而是利用之前的rank
                int i = o1.index;
                int j = o2.index;
                if (rk[i] == rk[j]) {// 如果第一关键字相同
                    if (i + kk / 2 >= n || j + kk / 2 >= n)
                        return -(i - j);// 如果某个后缀不具有第二关键字,那肯定较小,索引靠后的更小
                    return rk[i + kk / 2] - rk[j + kk / 2];

                } else {
                    return rk[i] - rk[j];
                }
            });
            rk[sa[0].index] = 1;
            for (int i = 1; i < n; i++) {
                int i1 = sa[i].index;
                int i2 = sa[i - 1].index;
                rk[i1] = rk[i2];
                try {
                    if (!src.substring(i1, i1 + kk).equals(src.substring(i2, i2 + kk)))
                        rk[i1]++;
                } catch (Exception e) {
                    rk[i1]++;
                }
            }
        }
        return sa;
    }
    static int[] getHeight(String src,Suff[] sa){
        // Suff[] sa = getSa2(src);
        int strLength = src.length();
        int []rk = new int[strLength];
        for (int i = 0; i < strLength; i++) {
            rk[sa[i].index] = i;
        }
        int []height = new int[strLength];
        int k = 0;
        for(int i=0;i<strLength;i++){
            int rk_i = rk[i];  // i后缀的排名
            if (rk_i==0) {
                height[0] = 0;
                continue;
            }
            int rk_i_1 = rk_i - 1;
            int j = sa[rk_i_1].index;// j是i串字典序靠前的串的下标
            if (k > 0)
                k--;

            for (; j + k < strLength && i + k < strLength; k++) {
                if (src.charAt(j + k) != src.charAt(i + k))
                    break;
            }
            height[rk_i] = k;

        }
        return height;
    }
    public static class Suff implements Comparable<Suff> {
        public char c;// 后缀内容
        private String src;
        public int index;// 后缀的起始下标
        public Suff(char c, int index, String src) {
            this.c = c;
            this.index = index;
            this.src = src;
        }
        @Override
        public int compareTo(Suff o2) {
            return this.c - o2.c;
        }
        @Override
        public String toString() {
            return "Suff{" + "char='" + src.substring(index) + '\'' + ", index=" + index + '}';
        }
    }
}
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