1. A Red-Black tree is said to be beautiful if all nodes in the alternate levels of the tree are of the same color. Write a program to check whether a Red-Black tree created from the given input is beautiful or not. Your program should include the following functions. .INSERTREDBLACK(struct node* root, key): Inserts a new node with the 'key' into the tree. . CHECK BEAUTIFUL (struct node* root): Checks whether the given tree is beautiful or not. Input format: Output format: The output will be 1 if the Red-Black tree is beautiful else-1. Sample Input 1: 9 12 8 25 3 5 27 22 The first line of input will be an integer 'n' which is the number of nodes in the tree. After which 'n' integer inputs will be given subsequently which will be the keys of nodes of the tree. The keys are unique and values are in the range [1,1000]. 32 9 Sample Output 1: 1

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