Joined Subarrays on Tree SOLUTIONS JTSARTR

Joined Subarrays on Tree SOLUTIONS JTSARTR

Alice thought of a capacity $F$, which takes a subjective cluster of numbers $A = (A_1, A_2, ldots, A_M)$ as the main contention and is characterized in the accompanying manner: 

Consider all sets of subarrays $(A_i, A_{i+1}, ldots, A_j)$ and $(A_k, A_{k+1}, ldots, A_l)$ with the end goal that: 

$1 le I le j lt k le l le M$ both subarrays are non-diminishing $A_j le A_k$ In the event that there is no such pair of subarrays, $F(A) = 0$. 

Something else, $F(A)$ is the limit of the articulation $(j-i+1) + (l-k+1)$ over all such combines of subarrays. 

At the end of the day, you have to pick two non-covering non-void subarrays of $A$ and connect them in a similar request; the subsequent cluster ought to be non-diminishing and $F(A)$ is its most extreme conceivable length. 

Bounce moved Alice to tackle the accompanying issue and she needs your assistance. 

You are given a tree with $N$ vertices (numbered $1$ through $N$), established at the vertex $1$. There is a number written in every vertex; for each substantial $i$, how about we signify the whole number written in vertex $i$ by $V_i$. You ought to pick one vertex ― how about we indicate it by $v$. At that point, consider a cluster $A$ containing values which are written in vertices on the way from the root to $v$ (comprehensive), in a specific order, and figure $F(A)$. Locate the most extreme conceivable estimation of $F(A)$ which you can get thusly. 



The main line of the information contains a solitary whole number $T$ signifying the quantity of experiments. The portrayal of $T$ experiments follows. 

The primary line of each experiment contains a solitary whole number $N$. 

The subsequent line contains $N$ space-isolated numbers $V_1, V_2, cdot, V_N$. 

Every one of the accompanying $N-1$ lines contains two space-isolated numbers $u$ and $v$ meaning that vertices $u$ and $v$ are associated by an edge. 



For each experiment, print a solitary line containing one number ― the limit of $F(A)$. 



$1 le T le 1,000$ 

$2 le N le 5 cdot 10^5$ 

$|V_i| le 10^9$ for each substantial $i$ 

$1 le u, v le N$ 

the entirety of $N$ over all experiments doesn’t surpass $10^6$ 


Model Input 

2 1 5 3 

1 2 

1 3 

3 4 


Model Output 



Model case 1: We pick $v = 3$. At that point, $A(3) = (2, 5)$; its subarrays $(2)$ and $(5)$ fulfill every single required condition and the aggregate of their lengths is $2$. Its absolutely impossible to get a more noteworthy estimation of the capacity $F$.


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