from collections import defaultdict from typing import List, Tuple from typing import Callable, Generic, List, TypeVar T = TypeVar("T") class Rerooting(Generic[T]): __slots__ = ("adjList", "_n", "_decrement") def __init__(self, n: int, decrement: int = 0): self.adjList = [[] for _ in range(n)] self._n = n self._decrement = decrement def addEdge(self, u: int, v: int) -> None: u -= self._decrement v -= self._decrement self.adjList[u].append(v) self.adjList[v].append(u) def rerooting( self, e: Callable[[int], T], op: Callable[[T, T], T], composition: Callable[[T, int, int, int], T], root=0, ) -> List["T"]: root -= self._decrement assert 0 <= root < self._n parents = [-1] * self._n order = [root] stack = [root] while stack: cur = stack.pop() for next in self.adjList[cur]: if next == parents[cur]: continue parents[next] = cur order.append(next) stack.append(next) dp1 = [e(i) for i in range(self._n)] dp2 = [e(i) for i in range(self._n)] for cur in order[::-1]: res = e(cur) for next in self.adjList[cur]: if parents[cur] == next: continue dp2[next] = res res = op(res, composition(dp1[next], cur, next, 0)) res = e(cur) for next in self.adjList[cur][::-1]: if parents[cur] == next: continue dp2[next] = op(res, dp2[next]) res = op(res, composition(dp1[next], cur, next, 0)) dp1[cur] = res for newRoot in order[1:]: parent = parents[newRoot] dp2[newRoot] = composition(op(dp2[newRoot], dp2[parent]), parent, newRoot, 1) dp1[newRoot] = op(dp1[newRoot], dp2[newRoot]) return dp1 def lcsOnTree(n: int, edges: List[Tuple[int, int, str]], target: str) -> int: def e(root: int) -> List[int]: return [0] * (len(target) + 1) def op(childRes1: List[int], childRes2: List[int]) -> List[int]: res = childRes1[:] for i in range(len(res)): res[i] = max(res[i], childRes2[i]) return res def composition(fromRes: List[int], parent: int, cur: int, direction: int) -> List[int]: """direction: 0: cur -> parent, 1: parent -> cur""" from_, to = (cur, parent) if direction == 0 else (parent, cur) c = weights[from_][to] res = fromRes[:] for i in range(len(s) - 1, -1, -1): if s[i] == c: res[i + 1] = max(res[i + 1], res[i] + 1) for i in range(len(s)): res[i + 1] = max(res[i + 1], res[i]) return res R = Rerooting[List[int]](n) weights = [defaultdict(str) for _ in range(n)] for u, v, c in edges: R.addEdge(u, v) weights[u][v] = c weights[v][u] = c dp = R.rerooting(e=e, op=op, composition=composition, root=0) return max(v[-1] for v in dp) if __name__ == "__main__": n = int(input()) s = input() edges = [] for _ in range(n - 1): u, v, c = input().split() edges.append((int(u) - 1, int(v) - 1, c)) print(lcsOnTree(n, edges, s))