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Please solve it in java language Problem1: Create a new Java Application that has the following methods: 1. A method that generate a binary search

Please solve it in java language
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Problem1: Create a new Java Application that has the following methods: 1. A method that generate a binary search tree (BST) where the number of nodes and the range of the values are from a file 2. A recursive method to print the BST in preorder traversal 3. A recursive method to print the BST in post-order traversal 4. A recursive method to print the BST in in-order traversal 5. A recursive method to count the number of all nodes in BST 6. A method to find the largest value in a BST 7. A method to find and return the smallest value in a BST. 8. A method to search for a given value V in a BST . A method to count the number of ancestors of a given value V 10. A method to count the number of comparisons to decide whether a given value V is in a BST 11. A method to count the number of leaf nodes in BST 12. A method to count the number of nodes that contain even numbers in a BST 13. A method to count the number of nodes with 2 children (child may be a single node or a sub-tree) 14. A method to print a BST sorted in reverse order 15. A method to print a BST in breadth first order 16. A method reconstruct a BST given its preorder traversal 17. A method to check if two BSTs are identical 18. A method mirror0 to create a mirror image of BST 19. A method to check if a BST T1 is a mirror of T2 20. A method to find the common elements between two BSTs, and insert them in 3rd BST Write the main method to test these methods described in 1 to 20

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