A complete -ary tree is a tree in which each n I node has children or no children. Let be the L number of internal nodes and be the number n L = 41 of leaves in a complete -ary tree. If , I = 10 n and , What is the value of ?
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: C. 5
Explanation
In a full n-ary tree, L = (n − 1)I + 1. 41 = 10(n − 1) + 1 gives n = 5.
More Data Structures and Algorithms questions
- In a binary max heap containing numbers, the smallest element can be found in ____ time.
- If algorithm A and another algorithm B take −− log (n) √n 2 and microseconds, respectively, to n solve a problem, then the largest size of…
- Let be a directed graph whose vertex set is the set of numbers from 1 to 100 . There is an i j edge from a vertex to a vertex if and only i…
- The running time of an algorithm is O(g(n)) if and only if: (A) its worst-case running time is O(g(n)) and its best-case running time is Ω(…
- Match List I with List II. List I: A. Topological sort of a DAG, B. Kruskal's MST algorithm, C. Bellman-Ford single-source shortest path, D…
- Consider the undirected graph below: Using Prim's algorithm to construct a minimum spanning tree starting with node a, which one of the fol…