「CF741D」Arpa’s letter-marked tree and Mehrdad’s Dokhtar-kosh paths

传送门
Luogu

解题思路

考虑把22个字符状压下来，易知合法情况就是状态中之多有一个1，这个可以暴力一点判断23次。
然后后就是 dsu on the tree 了。

细节注意事项

• 咕咕咕

参考代码

#include <algorithm>
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <cstdio>
#include <cctype>
#include <cmath>
#include <ctime>
#define rg register
using namespace std;
template < typename T > inline void read(T& s) {
 	s = 0; int f = 0; char c = getchar();
 	while (!isdigit(c)) f |= (c == '-'), c = getchar();
 	while (isdigit(c)) s = s * 10 + (c ^ 48), c = getchar();
 	s = f ? -s : s;
}

const int _ = 500010;

int tot, head[_], nxt[_ << 1], ver[_ << 1], w[_ << 1];
inline void Add_edge(int u, int v, int d)
{ nxt[++tot] = head[u], head[u] = tot, ver[tot] = v, w[tot] = d; }

int n, dis[_], tg[1 << 22 | 2];
int dep[_], siz[_], son[_], ans[_];
int num, L[_], R[_], id[_];

inline void dfs(int u, int f) {
	siz[u] = 1, dep[u] = dep[f] + 1;
	L[u] = ++num, id[num] = u;
	for (rg int i = head[u]; i; i = nxt[i]) {
		int v = ver[i]; if (v == f) continue;
		dis[v] = dis[u] ^ w[i];
		dfs(v, u), siz[u] += siz[v];
		if (siz[v] > siz[son[u]]) son[u] = v;
	}
	R[u] = num;
}

inline void dfss(int u, int f, int keep) {
	for (rg int i = head[u]; i; i = nxt[i]) {
		int v = ver[i]; if (v == f || v == son[u]) continue;
		dfss(v, u, 0), ans[u] = max(ans[u], ans[v]);
	}
	if (son[u]) dfss(son[u], u, 1), ans[u] = max(ans[u], ans[son[u]]);
	if (tg[dis[u]]) ans[u] = max(ans[u], tg[dis[u]] - dep[u]);
	for (rg int k = 0; k < 22; ++k)
		if (tg[dis[u] ^ (1 << k)])
			ans[u] = max(ans[u], tg[dis[u] ^ (1 << k)] - dep[u]);
	tg[dis[u]] = max(tg[dis[u]], dep[u]);
	for (rg int i = head[u]; i; i = nxt[i]) {
		int v = ver[i]; if (v == son[u] || v == f) continue;
		for (rg int x = L[v]; x <= R[v]; ++x) {
			int p = id[x];
			if (tg[dis[p]]) ans[u] = max(ans[u], tg[dis[p]] + dep[p] - 2 * dep[u]);
			for (rg int k = 0; k < 22; ++k)
				if (tg[dis[p] ^ (1 << k)]) ans[u] = max(ans[u], tg[dis[p] ^ (1 << k)] + dep[p] - 2 * dep[u]);
		}
		for (rg int x = L[v]; x <= R[v]; ++x)
			tg[dis[id[x]]] = max(tg[dis[id[x]]], dep[id[x]]);
	}
	if (!keep) for (rg int x = L[u]; x <= R[u]; ++x) tg[dis[id[x]]] = 0;
}

int main() {
#ifndef ONLINE_JUDGE
	freopen("in.in", "r", stdin);
#endif
	read(n);
	for (rg int p, i = 2; i <= n; ++i) {
		read(p); char c = getchar();
		while (!isalpha(c)) c = getchar();
		Add_edge(p, i, 1 << (c - 'a'));
		Add_edge(i, p, 1 << (c - 'a'));
	}
	dfs(1, 0), dfss(1, 0, 1);
	for (rg int i = 1; i <= n; ++i)
		printf("%d%c", ans[i], " \n"[i == n]);
	return 0;
}

完结撒花 \(qwq\)