A full binary tree has n leaf nodes. How many total number of nodes will that tree have?
Show Hint
- \( 2n - 1 \)
- \( 2^n - 1 \)
- \( 2n \)
- \( 2^n \)
The Correct Option is A
Solution and Explanation
Thus, the total number of nodes is \( 2n - 1 \).
Top Questions on Trees
Consider the following code:
int a; int arr[] = {30, 50, 10}; int *ptr = arr[10] + 1; a = *ptr; (*ptr)++; ptr = ptr + 1; printf("%d", a + arr[1] + *ptr);Which of the following is the greatest? \[ 0.6, \ 0.666, \ \frac{5}{6}, \ \frac{2}{3} \]
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\[ \begin{array}{|c|c|c|} \hline \textbf{Cache Level} & \textbf{Hit Rate} & \textbf{Access Time} \\ \hline L1 & 90\% & 1 \text{ ns} \\ L2 & 80\% & 10 \text{ ns} \\ L3 & 100\% & 100 \text{ ns} \\ \hline \end{array} \]Find \( T_{avg} \) for hierarchical or simultaneous access.
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someAlgo(G) Let \( v \) be any vertex in \( G \).
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2. Run BFS on \( G \) again with \( u \) as the starting vertex. Let \( z \) be the vertex at maximum distance from \( u \) as given by the BFS. 3. Output the distance between \( u \) and \( z \) in \( G \).
The output of tt{someAlgo(T)} for the tree shown in the given figure is ____________ . (Answer in integer)
In a B+- tree where each node can hold at most four key values, a root to leaf path consists of the following nodes:
\( A = (49, 77, 83, -) \)
\( B = (7, 19, 33, 44) \)
\( C = (20^*, 22^*, 25^*, 26^*) \)
The *-marked keys signify that these are data entries in a leaf. Assume that a pointer between keys \( k_1 \) and \( k_2 \) points to a subtree containing keys in \([ k_1, k_2 )\), and that when a leaf is created, the smallest key in it is copied up into its parent. A record with key value 23 is inserted into the B+- tree. The smallest key value in the parent of the leaf that contains 25* is __________ . (Answer in integer)
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