[ZJOI2015]诸神眷顾的幻想乡(广义后缀自动机)

时间:2024-08-25 13:35:14
/*
题目中的神仙性质真的是令人愉悦
因为我一眼看成了每个点的度数不超过二十, 心想这他喵的和字符串什么关系 统计树上不同子串个数, 按道理直接dfs n次把所有的串插到后缀自动机里就行了 但是我们发现当我们从一个不是叶子的节点进行dfs时, 实际上得到的每一个串都是从某个叶子开始bfs产生的某个串的后缀 也就是说不是从叶子开始dfs是没啥用的 找出叶子然后暴力就好了 */ #include<cstdio>
#include<algorithm>
#include<cstring>
#include<queue>
#include<iostream>
#define ll long long
#define M 4000010
#define mmp make_pair
using namespace std;
int read()
{
int nm = 0, f = 1;
char c = getchar();
for(; !isdigit(c); c = getchar()) if(c == '-') f = -1;
for(; isdigit(c); c = getchar()) nm = nm * 10 + c - '0';
return nm * f;
}
int ch[M][10], len[M], fa[M], cnt = 1, cor[100100], n, c;
vector<int> to[100010]; int insert(int lst, int c)
{
int p = ++cnt, f = lst;
len[p] = len[f] + 1;
while(f && !ch[f][c]) ch[f][c] = p, f = fa[f];
if(f == 0)
fa[p] = 1;
else{
int q = ch[f][c];
if(len[q] == len[f] + 1)
{
fa[p] = q;
}
else
{
int nq = ++cnt;
fa[nq] = fa[q];
memcpy(ch[nq], ch[q], sizeof(ch[q]));
len[nq] = len[f] + 1;
fa[q] = fa[p] = nq;
while(f && ch[f][c] == q) ch[f][c] = nq, f = fa[f];
}
}
return p;
}
void dfs(int now, int lst, int pre)
{
int tmp = insert(pre, cor[now]);
for(int i = 0; i < to[now].size(); i++)
{
int vj = to[now][i];
if(vj == lst) continue;
dfs(vj, now, tmp);
}
} int main()
{
n = read(), c = read();
for(int i = 1; i <= n; i++) cor[i] = read();
for(int i = 1; i < n; i++)
{
int vi = read(), vj = read();
to[vi].push_back(vj);
to[vj].push_back(vi);
}
for(int i = 1; i <= n; i++)
{
if(to[i].size() == 1)
{
dfs(i, i, 1);
}
}
ll ans = 0;
for(int i = 1; i <= cnt; i++) ans += len[i] - len[fa[i]];
cout << ans << "\n";
return 0;
}