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  • 【SPOJ 1812】Longest Common Substring II

    http://www.spoj.com/problems/LCS2/
    这道题想了好久。
    做法是对第一个串建后缀自动机,然后用后面的串去匹配它,并在走过的状态上记录走到这个状态时的最长距离。每匹配完一个串要对每个状态往它的parent更新,因为状态记录的最长距离一定大于parent的val值,所以parent的最长距离直接赋为val即可。

    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    
    struct State {
    	State *par, *go[26];
    	int val, mn, now;
    } *root, *last, pool[250003], *id[250003];
    int tot = 0;
    
    State *newState(int _val) {
    	State *t = &pool[++tot];
    	t->par = 0; t->val = t->now = 0;
    	memset(t->go, 0, sizeof(t->go));
    	t->mn = t->val = _val;
    	return t;
    }
    
    void extend(int w) {
    	State *p = last;
    	State *np = newState(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 (q->val == p->val + 1) np->par = q;
    		else {
    			State *nq = newState(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 len, c[100003];
    char s[100003];
    
    int main() {
    	root = last = newState(0);
    	scanf("%s", s + 1);
    	len = strlen(s + 1);
    	for(int i = 1; i <= len; ++i)
    		extend(s[i] - 'a');
    	for(int i = 1; i <= tot; ++i)
    		++c[pool[i].val];
    	for(int i = 1; i <= len; ++i)
    		c[i] += c[i - 1];
    	for(int i = tot; i >= 1; --i)
    		id[c[pool[i].val]--] = &pool[i];
    	
    	State *tmp; int now, x;
    	while (~scanf("%s", s + 1)) {
    		len = strlen(s + 1);
    		tmp = root; now = 0;
    		for(int i = 1; i <= len; ++i) {
    			x = s[i] - 'a';
    			if (tmp->go[x]) {
    				tmp = tmp->go[x];
    				++now;
    			} else {
    				while (tmp && tmp->go[x] == 0)
    					tmp = tmp->par;
    				if (tmp == 0) tmp = root, now = 0;
    				else now = tmp->val + 1, tmp = tmp->go[x];
    			}
    			tmp->now = max(tmp->now, now);
    		}
    		for(int i = tot; i >= 1; --i) {
    			tmp = id[i];
    			tmp->mn = min(tmp->mn, tmp->now);
    			if (tmp->par != 0 && tmp->now != 0) tmp->par->now = tmp->par->val;
    			tmp->now = 0;
    		}
    	}
    	
    	int ans = 0;
    	for(int i = 1; i <= tot; ++i)
    		ans = max(ans, pool[i].mn);
    	printf("%d
    ", ans);
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/abclzr/p/5926210.html
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