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 Problem Statement

Problem Statement for ChristmasTreeDecorationDiv2

### Problem Statement

Christmas is just around the corner, and Alice just decorated her Christmas tree. There are N stars and N-1 ribbons on the tree. Each ribbon connects two of the stars in such a way that all stars and ribbons hold together. (In other words, the stars and ribbons are the vertices and edges of a tree.)

The stars are numbered 1 through N. Additionally, each star has some color. You are given the colors of stars as a int[] col with N elements. For each i, col[i] is the color of star i+1. (Different integers represent different colors.)

You are also given a description of the ribbons: two int[]s x and y with N-1 elements each. For each i, there is a ribbon that connects the stars with numbers x[i] and y[i].

According to Alice, a ribbon that connects two stars with different colors is beautiful, while a ribbon that connects two same-colored stars is not. Compute and return the number of beautiful ribbons in Alice's tree.

### Definition

 Class: ChristmasTreeDecorationDiv2 Method: solve Parameters: int[], int[], int[] Returns: int Method signature: int solve(int[] col, int[] x, int[] y) (be sure your method is public)

### Constraints

-N will be between 2 and 50, inclusive.
-The number of elements in col will be exactly N.
-The number of elements in x will be exactly N - 1.
-The number of elements in y will be the same as the number of elements in x.
-All elements of x and y will be between 1 and N, inclusive.
-For each i, the numbers x[i] and y[i] will be different.
-The graph formed by the N-1 ribbons will be connected.

### Examples

0)

 `{1,2,3,3}` `{1,2,3}` `{2,3,4}`
`Returns: 2`
 There are two beautiful ribbons: the one that connects stars 1 and 2, and the one that connects stars 2 and 3. The other ribbon is not beautiful because stars 3 and 4 have the same color.
1)

 `{1,3,5}` `{1,3}` `{2,2}`
`Returns: 2`
2)

 `{1,1,3,3}` `{1,3,2}` `{2,1,4}`
`Returns: 2`
3)

 `{5,5,5,5}` `{1,2,3}` `{2,3,4}`
`Returns: 0`
4)

 `{9,1,1}` `{3,2}` `{2,1}`
`Returns: 1`

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This problem was used for:
Single Round Match 640 Round 1 - Division II, Level One