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  • 【CodeVS 3160】最长公共子串

    http://codevs.cn/problem/3160/
    看了好久的后缀自动机_(:з」∠)_
    对A串建立SAM,用B串去匹配A串SAM,如果在当前节点走不下去,就跳到当前节点的parent(类似AC自动机的失配指针),找到当前节点代表的状态中长度最长的后缀,并看能不能继续走下去。
    如果跳到了能继续走下去的节点,就更新L为这个节点的max+1,同时在这个节点往下走一步(更新L和继续走不能颠倒,因为往下走一步之后的节点的max值并不能确定)。
    照搬clj课件里的模板

    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    
    struct State {
    	State *par, *go[26];
    	int val;
    	State(int _val) : par(0), val(_val)
    		{memset(go, 0, sizeof(go));}
    } *root, *last;
    
    void extend(int w) {
    	State *p = last;
    	State *np = new State(p->val + 1);
    	while (p && p->go[w] == 0)
    		p->go[w] = np, p = p->par;
    	if (p == 0) np->par = root;
    	else {
    		State *q = p->go[w];
    		if (p->val + 1 == q->val) np->par = q;
    		else {
    			State *nq = new State(p->val + 1);
    			memcpy(nq->go, q->go, sizeof(q->go));
    			nq->par = q->par;
    			q->par = np->par = nq;
    			while (p && p->go[w] == q)
    				p->go[w] = nq, p = p->par;
    		}
    	}
    	last = np;
    }
    
    int la, lb;
    char A[100003], B[100003];
    
    void work() {
    	State *tmp = root;
    	int ans = 0, x, L = 0;
    	for(int i = 1; i <= lb; ++i) {
    		x = B[i] - 'a';
    		if (tmp->go[x]) {
    			tmp = tmp->go[x];
    			++L;
    		} else {
    			while (tmp && tmp->go[x] == 0)
    				tmp = tmp->par;
    			if (tmp == 0) tmp = root, L = 0;
    			else L = tmp->val + 1, tmp = tmp->go[x];
    		}
    		ans = max(ans, L);
    	}
    	printf("%d
    ", ans);
    }
    
    int main() {
    	root = last = new State(0);
    	scanf("%s%s", A + 1, B + 1);
    	la = strlen(A + 1); lb = strlen(B + 1);
    	for(int i = 1; i <= la; ++i)
    		extend(A[i] - 'a');
    	work();
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/abclzr/p/5911560.html
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