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POJ 3261 可重叠K次的最长重复子串

给定一个字符串,求至少出现K次的最长重复子串,这k个子串可以重叠。

所谓出现K次就是在任意K个地方出现了这个子串,并不要求这K个是连续的。

 


那么 根据罗大神的论文,用后缀数组解之

二分答案,然后用height数组判定是否至少出现了K个这种子串

 

 

[cpp]
#include <iostream>  
#include <algorithm>  
#include <cstring>  
#include <string>  
#include <cstdio>  
#include <cmath>  
#include <queue>  
#include <map>  
#include <set>  
#define eps 1e-5  
#define MAXN 20005  
#define MAXM 1000005  
#define INF 100000000000007LL  
using namespace std; 
int r[MAXN]; 
int wa[MAXN], wb[MAXN], wv[MAXN], tmp[MAXM]; 
int sa[MAXN]; //index range 1~n value range 0~n-1  
int cmp(int *r, int a, int b, int l) 

    return r[a] == r[b] && r[a + l] == r[b + l]; 

void da(int *r, int *sa, int n, int m) 

    int i, j, p, *x = wa, *y = wb, *ws = tmp; 
    for (i = 0; i < m; i++) ws[i] = 0; 
    for (i = 0; i < n; i++) ws[x[i] = r[i]]++; 
    for (i = 1; i < m; i++) ws[i] += ws[i - 1]; 
    for (i = n - 1; i >= 0; i--) sa[--ws[x[i]]] = i; 
    for (j = 1, p = 1; p < n; j *= 2, m = p) 
    { 
        for (p = 0, i = n - j; i < n; i++) y[p++] = i; 
        for (i = 0; i < n; i++) 
            if (sa[i] >= j) y[p++] = sa[i] - j; 
        for (i = 0; i < n; i++) wv[i] = x[y[i]]; 
        for (i = 0; i < m; i++) ws[i] = 0; 
        for (i = 0; i < n; i++) ws[wv[i]]++; 
        for (i = 1; i < m; i++) ws[i] += ws[i - 1]; 
        for (i = n - 1; i >= 0; i--) sa[--ws[wv[i]]] = y[i]; 
        for (swap(x, y), p = 1, x[sa[0]] = 0, i = 1; i < n; i++) 
            x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; 
    } 

int rank[MAXN]; //index range 0~n-1 value range 1~n  
int height[MAXN]; //index from 1   (height[1] = 0)  
void calheight(int *r, int *sa, int n) 

    int i, j, k = 0; 
    for (i = 1; i <= n; ++i) rank[sa[i]] = i; 
    for (i = 0; i < n; height[rank[i++]] = k) 
        for (k ? k-- : 0, j = sa[rank[i] - 1]; r[i + k] == r[j + k]; ++k); 
    return; 

int n, k; 
bool check(int mid) 

    int cnt = 1; 
    for(int i = 1; i <= n; i++) 
    { 
        if(height[i] < mid) cnt = 1; 
        else cnt++; 
        if(cnt >= k) return 1; 
    } 
    return 0; 

int main() 

    int m = 0; 
    scanf("%d%d", &n, &k); 
    for(int i = 0; i < n; i++) 
    { 
        scanf("%d", &r[i]); 
        r[i]++; 
        m = max(m, r[i]); 
    } 
    r[n] = 0; 
    da(r, sa, n + 1, m + 1); 
    calheight(r, sa, n); 
    int res = 0; 
    int left = 1, right = n; 
    while(left <= right) 
    { 
        int mid = (left + right) >> 1; 
        if(check(mid)) 
        { 
            left = mid + 1; 
            res = max(res, mid); 
        } 
        else right = mid - 1; 
    } 
    printf("%d\n", res); 
    return 0; 

#include <iostream>
#include <algorithm>
#include <cstring>
#include <string>
#include <cstdio>
#include <cmath>
#include <queue>
#include <map>
#include <set>
#define eps 1e-5
#define MAXN 20005
#define MAXM 1000005
#define INF 100000000000007LL
using namespace std;
int r[MAXN];
int wa[MAXN], wb[MAXN], wv[MAXN], tmp[MAXM];
int sa[MAXN]; //index range 1~n value range 0~n-1
int cmp(int *r, int a, int b, int l)
{
    return r[a] == r[b] && r[a + l] == r[b + l];
}
void da(int *r, int *sa, int n, int m)
{
    int i, j, p, *x = wa, *y = wb, *ws = tmp;
    for (i = 0; i < m; i++) ws[i] = 0;
    for (i = 0; i < n; i++) ws[x[i] = r[i]]++;
    for (i = 1; i < m; i++) ws[i] += ws[i - 1];
    for (i = n - 1; i >= 0; i--) sa[--ws[x[i]]] = i;
    for (j = 1, p = 1; p < n; j *= 2, m = p)
    {
        for (p = 0, i = n - j; i < n; i++) y[p++] = i;
        for (i = 0; i < n; i++)
            if (sa[i] >= j) y[p++] = sa[i] - j;
        for (i = 0; i < n; i++) wv[i] = x[y[i]];
        for (i = 0; i < m; i++) ws[i] = 0;
        for (i = 0; i < n; i++) ws[wv[i]]++;
        for (i = 1; i < m; i++) ws[i] += ws[i - 1];
        for (i = n - 1; i >= 0; i--) sa[--ws[wv[i]]] = y[i];
        for (swap(x, y), p = 1, x[sa[0]] = 0, i = 1; i < n; i++)
            x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++;
    }
}
int rank[MAXN]; //index range 0~n-1 value range 1~n
int height[MAXN]; //index from 1   (height[1] = 0)
void calheight(int *r, int *sa, int n)
{
    int i, j, k = 0;
    for (i = 1; i <= n; ++i) rank[sa[i]] = i;
&n

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