# Practice on Toph

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By Wiz_Khalipha · Limits 1s, 512 MB

Bob wants to visit a new country called sayadpur. There are N cities(1, 2, 3….., N) in sayadpur, and they are connected by n-1 undirected roads. You can go from one city to any other city using these roads. Each city except city 1 is directly connected with at most two cities. Bob wants to start his journey from a city and then move to any adjacent city. In his journey, he does not want to visit a city twice. For visiting a city he has to pay a cost. Suppose he visits total “k” cities and the cost of those cities are `\$a_1,a_2,…. a_k\$` . The overall cost will be the bitwise “or” of those costs (`\$a_1 | a_2 |a_3 |…. | a_k\$`). You have to find the maximum overall cost.

## Input

First-line there is a number `\$N\$` ( `\$1 ≤ N ≤ 10^5\$` ). Each of the next N-1 lines contains two integers u and v (1 ≤ u,v ≤ n, u≠v), denoting an edge connecting vertex u and vertex v. Next line contains N integers `\$a_1,a_2,.. a_N\$`. The first element is the cost of city number 1, the second element is the cost of city number 2 city and so on.
(1 ≤ `\$a_i\$` ≤ 2047, 1 ≤ i ≤ N)

## Output

Output one integer, the maximum overall cost.

## Sample

InputOutput
```3
1 2
1 3
1 2 4
```
```7
```

### Statistics

59% Solution Ratio

YouKnowWhoEarliest, 1M ago

shariful_islamFastest, 0.0s

NirjhorLightest, 6.9 MB

zishan044Shortest, 626B