Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(j, parent):
    index = bisect_left(dp, a[j])
    old = dp[index]
    dp[index] = a[j]
    ans[j] = bisect_left(dp, INF)-1
    for child in to[a[j]]:
        if child != parent:
            dfs(child, a[j])
    dp[index] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n+1)]
    for _ in range(n-1):
        u, v = map(int, input().split())
        to[u].append(v)
        to[v].append(u)
    INF = 10**20
    dp = [INF]*(n+1)
    dp[0] = -INF
    ans = [None]*n
    dfs(1, -1)
    print(ans)

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    if n == 2 and u == 1 and v == 0:
        print("yes")
        exit(0)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    if n == 2 and u == v:
        print("yes")
        exit(0)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print(*ans, sep="\n")

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(200000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(100000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
import sys
sys.setrecursionlimit(100000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left, bisect, insort

def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left, bisect, insort

def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*(2*10**5+1)
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(2*10**5+1)
    dp[0] = -INF
    dfs(0, -1)
    for i in range(n):
        print(ans[i])

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left, bisect, insort

def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    INF = 10**10
    ans = [INF]*n
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left, bisect, insort

def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = i
    if p != -1:
        ans[v] = max(ans[v], ans[p])
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [None]*n
    INF = 10**10
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*n
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))

Fixed submission:
from bisect import bisect_left
import sys
sys.setrecursionlimit(1000000)


def dfs(v, p):
    i = bisect_left(dp, a[v])
    dp[i], old = a[v], dp[i]
    ans[v] = bisect_left(dp, INF)-1
    for u in to[v]:
        if u == p:
            continue
        dfs(u, v)
    dp[i] = old

if __name__ == "__main__":
    n = int(input())
    a = list(map(int, input().split()))
    to = [[] for _ in range(n)]
    ans = [0]*n
    INF = 10**20
    for _ in range(n-1):
        u, v = map(int, input().split())
        u -= 1
        v -= 1
        to[u].append(v)
        to[v].append(u)
    dp = [INF]*(n+1)
    dp[0] = -INF
    dfs(0, -1)
    print("\n".join(list(map(str, ans))))