Example analysis of Java recursive algorithm

The basic idea of recursive algorithm design is:

For a complex problem, decompose the original problem into several relatively simple and similar subproblems, and continue until the subproblem is simple enough to be solved directly, that is, when it comes to the exit of recursion, so that the original problem can be solved recursively.

When making a recursive algorithm, we must grasp the exit, that is, making a recursive algorithm must have a clear recursive end condition. This is very important. In fact, this exit is very easy to understand. It is a condition. When this condition is met, we will no longer recurse.

The key is:

(1) Recursive exit

(2) The earth pushes gradually towards the exit

Recursion is the behavior of the method itself calling itself. Pay attention to write the recursion header, that is, when to exit recursion,

Avoid dead cycles.

Example 1: print 1 ~ 100 by recursion

Example 2: recursively calculate the factorial of a number

For recursive factorial calculation, recursive memory analysis structure diagram:

First set off the long line, then take it in, and then pull the fish ashore.

summary

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