Problem: We have a tree with N vertices, whose i-th edge connects Vertex u_i and Vertex v_i. Vertex i has an integer a_i written on it. For every integer k from 1 through N, solve the following problem:    * We will make a sequence by lining up the integers written on the vertices along the shortest path from Vertex 1 to Vertex k, in the order they appear. Find the length of the longest increasing subsequence of this sequence.  Here, the longest increasing subsequence of a sequence A of length L is the subsequence A_{i_1} , A_{i_2} , ... , A_{i_M} with the greatest possible value of M such that 1 \leq i_1 < i_2 < ... < i_M \leq L and A_{i_1} < A_{i_2} < ... < A_{i_M}.

Submission attempts (in order):
from collections import deque
import bisect


N = int(input())
a = list(map(int, input().split()))
uvs = [list(map(int, input().split())) for _ in range(N-1)]
shortest = [10e+10 for _ in range(N)]
shortest[0] = 0

routes = [[] for _ in range(N)]

for uv in uvs:
    routes[uv[0]-1].append(uv[1]-1)
    routes[uv[1]-1].append(uv[0]-1)

lis = [10e+100 for _ in range(N)]
minimum = [10e+100 for _ in range(N)]
seen = [False for _ in range(N)]
seen[0] = True

def function(checking):
    insert_posi = bisect.bisect_left(lis, a[checking])
    preserved = lis[insert_posi]
    lis[insert_posi] = a[checking]
    minimum[checking] = bisect.bisect_left(lis, 10e+50)
    for route in routes[checking]:
        if seen[route] == False:
            seen[route] = True
            shortest[route] = shortest[checking]+1
            function(route)
    lis[insert_posi] = preserved
    return
        
function(0)

minimum = [[minimum[i],shortest[i]] for i in range(N)]

minimum = sorted(minimum, key=lambda x:x[1])

[print(x[0]) for x in minimum]

from collections import deque
import bisect
import sys


N = int(input())
a = list(map(int, f.input().split()))
uvs = [list(map(int, input().split())) for _ in range(N-1)]

routes = [[] for _ in range(N)]

for uv in uvs:
    routes[uv[0]-1].append(uv[1]-1)
    routes[uv[1]-1].append(uv[0]-1)

lis = [10e+100 for _ in range(N)]
shortest = [10e+100 for _ in range(N)]
shortest[0] = 0
minimum = [10e+100 for _ in range(N)]
seen = [False for _ in range(N)]
seen[0] = True

def function(checking):
    insert_posi = bisect.bisect_left(lis, a[checking])
    preserved = lis[insert_posi]
    lis[insert_posi] = a[checking]
    minimum[checking] = bisect.bisect_left(lis, 10e+50)
    for route in routes[checking]:
        if seen[route] == False:
            shortest[route] = shortest[checking]+1
            seen[route] = True
            function(route) 
    lis[insert_posi] = preserved
    return
        
function(0)

[print(i) for i in (minimum)]

from collections import deque
import bisect
import sys

sys.setrecursionlimit(200000)

N = int(input())
a = list(map(int, input().split()))
uvs = [list(map(int, input().split())) for _ in range(N-1)]
shortest = [10e+10 for _ in range(N)]
shortest[0] = 0

routes = [[] for _ in range(N)]

for uv in uvs:
    routes[uv[0]-1].append(uv[1]-1)
    routes[uv[1]-1].append(uv[0]-1)

lis = [10e+100 for _ in range(N)]
minimum = [10e+100 for _ in range(N)]
seen = [False for _ in range(N)]
seen[0] = True

def function(checking):
    insert_posi = bisect.bisect_left(lis, a[checking])
    preserved = lis[insert_posi]
    lis[insert_posi] = a[checking]
    minimum[checking] = bisect.bisect_left(lis, 10e+50)
    for route in routes[checking]:
        if seen[route] == False:
            seen[route] = True
            shortest[route] = shortest[checking]+1
            function(route)
    lis[insert_posi] = preserved
    return
        
function(0)

[print(x) for x in minimum]

Verdicts: Runtime Error

Runtime Error

Accepted