【CodeVS 3160】最长公共子串

时间:2021-05-16 16:35:16

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\n", 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;
}