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1. The boolean indicator used to mark nodes in a red-black tree as being “red” or “black” is not…

1. The boolean indicator used to mark nodes in a red-black tree as being “red” or “black” is not…

1. The boolean indicator used to mark nodes in a red-black tree as being “red” or “black” is not strictly needed when we have distinct keys. Describe a scheme for implementing a red-black tree without adding any extra space to standard binary search-tree nodes.2. Show that the nodes of any AVL tree T can be colored “red” and “black” so that T becomes a red-black tree.