Buggy python submission (verdict: Time Limit Exceeded):
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v,l,tr):
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        dfs(u,l+1,tr+[arr[u]])
      elif tr[pos]==arr[u]:
        dfs(u,l,tr)
      else:
        dfs(u,l,tr[:pos]+[arr[u]]+tr[pos+1:])

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dfs(1,1,[arr[1]])
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect
import sys
sys.setrecurtionlimit(10**7)

def dfs(v,l,tr):
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        dfs(u,l+1,tr+[arr[u]])
      elif tr[pos]==arr[u]:
        dfs(u,l,tr)
      else:
        dfs(u,l,tr[:pos]+[arr[u]]+tr[pos+1:])

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dfs(1,1,[arr[1]])
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect
import sys
sys.setrecurtionlimit(10**8)

def dfs(v,l,tr):
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        dfs(u,l+1,tr+[arr[u]])
      elif tr[pos]==arr[u]:
        dfs(u,l,tr)
      else:
        dfs(u,l,tr[:pos]+[arr[u]]+tr[pos+1:])

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dfs(1,1,[arr[1]])
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect

def dfs(v):
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(dp,arr[u])
      changes.append((pos,dp[pos]))
      dp[pos]=arr[u]
      ans[u]=bisect.bisect_left(dp,10**18)
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
ans[1]=1
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
dp[0]=1
changes=[(0,1)]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect

def dfs(v):
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(dp,arr[u])
      changes.append((pos,dp[pos]))
      dp[pos]=arr[u]
      dfs(u)
  ans[v]=bisect.bisect_left(dp,10**18)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
dp[0]=1
changes=[(0,1)]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
import bisect
import collections

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
q=collections.deque()
q.append((1,1,[arr[1]]))
while len(q)!=0:
  v,l,tr=q.popleft()
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        q.append((u,l+1,tr+[arr[u]]))
      elif tr[pos]==arr[u]:
        q.append((u,l,tr))
      else:
        q.append((u,l,tr[:pos]+[arr[u]]+tr[pos+1:]))
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect

def dfs(v,l,tr):
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        dfs(u,l+1,tr+[arr[u]])
      elif tr[pos]==arr[u]:
        dfs(u,l,tr)
      else:
        dfs(u,l,tr[:pos]+[arr[u]]+tr[pos+1:])

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dfs(1,1,[arr[1]])
for i in range(1,n+1):
  print(ans[i])

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])

Buggy python submission (verdict: Runtime Error):
import bisect

def dfs(v,l,tr):
  ans[v]=l
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      pos=bisect.bisect_left(tr,arr[u])
      if pos==l:
        dfs(u,l+1,tr+[arr[u]])
      elif tr[pos]==arr[u]:
        dfs(u,l,tr)
      else:
        dfs(u,l,tr[:pos]+[arr[u]]+tr[pos+1:])

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dfs(1,1,[arr[1]])
for i in range(1,n+1):
  print(ans)

Fixed submission:
import bisect
import sys
sys.setrecursionlimit(10**7)

def dfs(v):
  pos=bisect.bisect_left(dp,arr[v])
  changes.append((pos,dp[pos]))
  dp[pos]=arr[v]
  ans[v]=bisect.bisect_left(dp,10**18)
  for u in g[v]:
    if checked[u]==0:
      checked[u]=1
      dfs(u)
  pos,val=changes.pop()
  dp[pos]=val

n=int(input())
arr=[0]+list(map(int,input().split()))
g=[[] for _ in range(n+1)]
for _ in range(n-1):
  a,b=map(int,input().split())
  g[a].append(b)
  g[b].append(a)
ans=[0]*(n+1)
checked=[0]*(n+1)
checked[1]=1
dp=[10**18 for _ in range(n+1)]
changes=[]
dfs(1)
for i in range(1,n+1):
  print(ans[i])