Problem: We have a tree with N vertices. The i-th edge connects Vertex A_i and B_i bidirectionally.  Takahashi is standing at Vertex u, and Aoki is standing at Vertex v.  Now, they will play a game of tag as follows:    * 1. If Takahashi and Aoki are standing at the same vertex, the game ends. Otherwise, Takahashi moves to a vertex of his choice that is adjacent to his current vertex.    * 2. If Takahashi and Aoki are standing at the same vertex, the game ends. Otherwise, Aoki moves to a vertex of his choice that is adjacent to his current vertex.    * 3. Go back to step 1.  Takahashi performs his moves so that the game ends as late as possible, while Aoki performs his moves so that the game ends as early as possible.  Find the number of moves Aoki will perform before the end of the game if both Takahashi and Aoki know each other's position and strategy.  It can be proved that the game is bound to end.

Submission attempts (in order):
import sys

sys.setrecursionlimit(10**10)

n, u, v = map(int, input().split())


u = u-1
v = v-1

# Making Adjacency list
Adj_dict = {}
for i in range(n):
    new = {i: []}
    Adj_dict.update(new)

for _ in range(n-1):
    a, b = map(int, input().split())
    Adj_dict[a-1].append(b-1)
    Adj_dict[b-1].append(a-1)


def tree_distance(Adj_dict, start, Visited, distance, Dist_list):
    
    
    Visited[start] = True

    
    Dist_list[start] = distance
    distance += 1

    
    for node in Adj_dict[start]:
        if Visited[node] == False:
            tree_distance(Adj_dict, node, Visited, distance, Dist_list)
    
    return


Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, u, Visited, distance, Dist_list)
Taka = Dist_list

Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, v, Visited, distance, Dist_list)
Aoki = Dist_list

Taka_num = 0
node = 0
for i in range(n):
    if Aoki[i] >= Taka[i]:
        if Taka[i] >= Taka_num:
            Taka_num = Taka[i]
            node = i


ans = Aoki[node] -1

print(ans)

import sys

sys.setrecursionlimit(10**10)

n, u, v = map(int, input().split())


u = u-1
v = v-1

# Making Adjacency list
Adj_dict = {}
for i in range(n):
    new = {i: []}
    Adj_dict.update(new)

for _ in range(n-1):
    a, b = map(int, input().split())
    Adj_dict[a-1].append(b-1)
    Adj_dict[b-1].append(a-1)


def tree_distance(Adj_dict, start, Visited, distance, Dist_list):
    
    
    Visited[start] = True

    
    Dist_list[start] = distance
    distance += 1

    
    for node in Adj_dict[start]:
        if Visited[node] == False:
            tree_distance(Adj_dict, node, Visited, distance, Dist_list)
    
    return


Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, u, Visited, distance, Dist_list)
Taka = Dist_list

Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, v, Visited, distance, Dist_list)
Aoki = Dist_list

Taka_num = 0
node = 0
for i in range(n):
    if Aoki[i] >= Taka[i]:
        if Taka[i] >= Taka_num:
            Taka_num = Taka[i]
            node = i


ans = Aoki[node] -1

print(ans)

import sys

sys.setrecursionlimit(200000)

n, u, v = map(int, input().split())


u = u-1
v = v-1

# Making Adjacency list
Adj_dict = {}
for i in range(n):
    new = {i: []}
    Adj_dict.update(new)

for _ in range(n-1):
    a, b = map(int, input().split())
    Adj_dict[a-1].append(b-1)
    Adj_dict[b-1].append(a-1)

def tree_distance(Adj_dict, start, Visited, distance, Dist_list):
    
    
    Visited[start] = True

    
    Dist_list[start] = distance
    distance += 1

    
    for node in Adj_dict[start]:
        if Visited[node] == False:
            tree_distance(Adj_dict, node, Visited, distance, Dist_list)
    
    return


Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, u, Visited, distance, Dist_list)
Taka = Dist_list

Dist_list = [0 for _ in range(n)]
Visited = [False for _ in range(n)]
distance = 0
tree_distance(Adj_dict, v, Visited, distance, Dist_list)
Aoki = Dist_list

Taka_num = 0
node = 0
ans = 0
for i in range(n):
    if Aoki[i] > Taka[i]:
        ans = max(ans, Aoki[i]-1)


print(ans)

Verdicts: Runtime Error

Runtime Error

Accepted