Each New Year Timofey and his friends cut down a tree of *n* vertices and bring it home. After that they paint all the *n* its vertices, so that the *i*-th vertex gets color *c*<sub class="lower-index">*i*</sub>.

Now it's time for Timofey birthday, and his mother asked him to remove the tree. Timofey removes the tree in the following way: he takes some vertex in hands, while all the other vertices move down so that the tree becomes rooted at the chosen vertex. After that Timofey brings the tree to a trash can.

Timofey doesn't like it when many colors are mixing together. A subtree annoys him if there are vertices of different color in it. Timofey wants to find a vertex which he should take in hands so that there are no subtrees that annoy him. He doesn't consider the whole tree as a subtree since he can't see the color of the root vertex.

A subtree of some vertex is a subgraph containing that vertex and all its descendants.

Your task is to determine if there is a vertex, taking which in hands Timofey wouldn't be annoyed.
The first line contains single integer *n* (2 ≤ *n* ≤ 10<sup class="upper-index">5</sup>) — the number of vertices in the tree.

Each of the next *n* - 1 lines contains two integers *u* and *v* (1 ≤ *u*, *v* ≤ *n*, *u* ≠ *v*), denoting there is an edge between vertices *u* and *v*. It is guaranteed that the given graph is a tree.

The next line contains *n* integers *c*<sub class="lower-index">1</sub>, *c*<sub class="lower-index">2</sub>, ..., *c*<sub class="lower-index">*n*</sub> (1 ≤ *c*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">5</sup>), denoting the colors of the vertices.
none
4
1 2
2 3
3 4
1 2 1 1
YES
2
3
1 2
2 3
1 2 3
YES
2
4
1 2
2 3
3 4
1 2 1 2
NO
3
2 1
2 3
1 2 3
YES
2
4
1 2
2 4
4 3
1 1 3 2
YES
4
2
1 2
1 1
YES
1
10
5 7
4 5
10 2
3 6
1 2
3 4
8 5
4 9
2 3
15 15 15 15 5 15 26 18 15 15
YES
5
8
1 2
1 3
3 5
3 6
1 4
4 7
4 8
1 3 1 1 1 1 1 2
NO
3
2 1
2 3
4 4 4
YES
1
3
1 2
1 3
1 2 2
YES
1
4
1 4
2 4
3 4
1 2 3 1
YES
4
4
1 2
1 3
1 4
1 2 3 4
YES
1
9
1 2
2 3
3 4
4 5
2 7
7 6
2 8
8 9
1 1 2 2 2 3 3 4 4
YES
2
3
2 1
2 3
4 4 5
YES
2
4
1 2
2 3
3 4
1 2 2 1
NO
n = int(input())
edges = [tuple(map(int, input().split())) for i in range(n - 1)]
colours = input().split()
'''better plan:
    1)take any node
    2)go up while parent has the same colour
    3)as soon as colour changes save the result
    4)check if result is good enough
    5)if no, then it's unsolvable
    6)else -- print result
'''
'''even better plan:
    1)take any edge than connects two different colour nodes
    2)if imbossible -- we won
    3)else check if one of two nodes in the picked edge is good enough
    4)we have ans
'''
possible_roots = []
for edge in edges:
    one, two = edge
    if colours[one - 1] != colours[two - 1]:
        possible_roots.append(edge)
if len(possible_roots) == 0:
    print('YES')
    print(1)
one, two = possible_roots[0]
is_one_root = False
is_two_root = False
for edge in possible_roots[1:]:
    if one in edge:
        is_one_root = True
    if two in edge:
        is_two_root = True
if is_one_root and is_two_root:
    print('NO')
    exit()
print('YES')
if is_one_root:
    print(one)
else:
    print(two)
    
