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null(nil) = true // nil refer for empty tree
null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true
leaf(fork(e, T, T')) = false if not null(T) or not null(T')
leaf(nil) = error
left(fork(e, T, T')) = T
left(nil) = error
right(fork(e, T, T')) = T' right(nil) = error
Contents (fork (e, T, T')) = e contents (nil) = error
Consider the definition of Tree (ADT). A way to think of a binary tree is that this is either empty (nil) or have an element and two sub trees that are themselves binary trees. Fork operation joins two sub trees along a parent node and generates another Binary tree. It might be noted that a tree containing a single leaf is described to be of height 1.
Definition: A tree is connected, acyclic graph
The space-complexity of the algorithm is a constant. It just needs space of three integers m, n and t. Thus, the space complexity is O(1). The time complexity based on the loop
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B i n a ry Search Algorithm is given as follows 1. if (low > high) 2. return (-1) 3. mid = (low +high)/2; 4. if ( X = = a [mid]) 5. return (mid); 6.
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QUESTION Explain the following data structures: (a) List (b) Stack (c) Queues Note : your explanation should consist of the definition, operations and examples.
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Sort the following array of elements using quick sort: 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8.
An algorithm is a sequence of steps to solve a problem; there may be more than one algorithm to solve a problem. The choice of a particular algorithm depends upon following cons
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an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program
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