The advantages of recursion tend to revolve around the fact that there are quite a few algorithms which lend themselves to recursion (tree traversal, binary searches, quick sort, etc.)
The disadvantages of recursion include:
* finite number of recursive steps (limited heap space) * speed/efficiency (easier to increment a loop counter than call a function)
Yes. It is possible to provide a solution to the diamond-square algorithm using Java and recursion.
You overcome limitations of the stack in polygon filling, or in any other algorithm, far that matter, but using an iterative technique, rather than a recursive technique. Recursion is quite useful, and can simplify algorithm design. Polygon filling, however, is a class of algorithm can potentially have a very deep recursion depth. This causes stress on the stack, hence the need for iteration.
Recursion is what it's called when a function calls itself. When a function calls itself immediately before returning, it's called tail recursion. Tail recursion can be more efficiently written as iteration. In fact a good compiler will recognize tail recursion and compile it as iteration. There is no such thing as left or right recursion in C programming.
Some problems cry out for recursion. For example, an algorithm might be defined recursively (e.g. the Fibonacci function). When an algorithm is given with a recursive definition, the recursive implementation is straight-forward. However, it can be shown that all recursive implementations have an iterative functional equivalent, and vice versa. Systems requiring maximum processing speed, or requiring execution within very limited resources (for example, limited stack depth), are generally better implemented using iteration.
Binary Search is the high speed data searching.Here in each recursion the is divided in two equal halves so that execution becomes easier.
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Yes. It is possible to provide a solution to the diamond-square algorithm using Java and recursion.
Merits are the good thing- Demerits are the bad things-
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Ans: Merits of recursion are: Mathematical functions, such as Fibonacci series generation can be easily implemented using recursion as compared to iteration technique. Demerits of recursion are: Many programming languages do not support recursion; hence, recursive mathematical function is implemented using iterative methods. Even though mathematical functions can be easily implemented using recursion, it is always at the cost of execution time and memory space. The recursive programs take considerably more storage and take more time during processing.
The merit of HTML is it's simplicity. The demerit is the lack of conditional statements.
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You overcome limitations of the stack in polygon filling, or in any other algorithm, far that matter, but using an iterative technique, rather than a recursive technique. Recursion is quite useful, and can simplify algorithm design. Polygon filling, however, is a class of algorithm can potentially have a very deep recursion depth. This causes stress on the stack, hence the need for iteration.
The Breadth-First Search (BFS) algorithm can be implemented using recursion by using a queue data structure to keep track of the nodes to visit. The algorithm starts by adding the initial node to the queue and then recursively visits each neighbor of the current node, adding them to the queue. This process continues until all nodes have been visited.