" recursion " in C + + (C + + training) in the main solution with the tree-like features of the algorithm or data structure, the use of recursion can make the algorithm or data structure greatly simplified, the code is simple and clear, the same subject with this feature recursive or other algorithms, the required predefined and corresponding results will be different, using
Text: Step-by-step write algorithm (loop and recursion)"Disclaimer: Copyright, welcome reprint, please do not use for commercial purposes. Contact mailbox: feixiaoxing @163.com "In fact, programming friends know that no matter what language you learn, loops and recursion are two things that must be learned. Of course, if the loop is good to understand a bit, then recurs
Compared with normal recursion, because the call of tail recursion is at the end of the method, the various States accumulated before the method have no significance for recursive call results, therefore, the data left in the stack in this method can be completely cleared, and the space can be used for the final recursive call. This optimization prevents recursion
{Code...} What is the essential difference between Recursion and loop? For example, in the above recursion, is each recursion a new scope? That is to say, $ level + 1 here is actually 0 + 1 each time, right?
Public function noLimitCategory ($ categories, $ top_id = 0, $ level = 0) {static $ arr = array (); // traverse the array foreach ($ categories as $ category
This article introduces how to use tail recursion. For more information about tail recursion, see the articles about tail recursion in the next few days. I didn't have much idea about tail recursion before, so I went back and studied tail recursion.
Concept of tail recurs
, recursive calls are allowed, and in recursive calls, the keynote function is also the function of being tuned.To prevent recursion from terminating, there must be a condition in the function body to terminate the recursive callThe common way is to add conditional judgment statement, meet a certain condition is not recursive call, layer by level returnMathematically there is such a definition of n factorial equals n multiplied by n-1 factorial, N-1 '
Data Structure and algorithm 5: recursive (Recursion)Data Structure and algorithm 5: recursive (Recursion)
Preface
In the book Joel, chief of the programmer's tribe, who talks about software, the chapter "the school only teaches java risks" mentions that,There are two traditional knowledge points in the computer science courses of the university, but many people have never understood them, that is, pointers
I have seen several articles about tail recursion over the past few days. I didn't have much idea about tail recursion before, so I went back and studied tail recursion.
Concept of tail recursionTail Recursion is a subset of recursive concepts. For normal recursion, the resu
1. Summary of recursion
Recursion is one of the most important programming methods in programming, it is very effective to solve some complex problems, and its process is more intuitive to understand than iterative. And unlike iterations that need to maintain many variables, recursion is easier to implement. 2. The basic idea of
What is tail recursion
There are many times when writing code in a recursive way is more intuitive than iterating, with the following factorial as an example:
def factorial (n):If n = 0:Return 1return factorial (n-1) * n
But this function call, if expanded, becomes the following form:
Factorial (4)Factorial (3) * 4Factorial (2) * 3 * 4Factorial (1) * 2 * 3 * 4Factorial (0) * 1 * 2 * 3 * 41 * 1 * 2 * 3 * 41 * 2 * 3 * 42 * 3 * 46 * 424
As you can s
These days just and friends talk about recursion, suddenly found a lot of friends for the "tail recursion" concept is more vague, online search did not find a thorough explanation of the details of the information, so wrote an article, the right to be an Internet data supplement.
Recursion and tail recursion
On the r
--Recursive naturefunction calls are implemented through a data structure such as stacks (stack).Whenever a function call is entered, the stack is added to the stack frame,Each time the function returns, the stack area will be reduced by a stack frame, but the stack space is limited, you should pay attention to prevent stack overflow# Recursive functions: Inside a function, you call itself a recursive function# Recursive simplest prototypes"""Recursion
Recursion and loop have their own advantages for different types of problems that require repeated calculation. They provide a more intuitive and simple solution. On the other hand, loops and recursive methods can convert each other. Code in any loop can be rewritten recursively to implement the same function. Vice versa... SyntaxHighlighter. all ();
Recursion and loop
For different types of problems that r
This article mainly introduces the PHP data structure based on recursion, has a certain reference value, now share to everyone, have the need for friends can refer to
What is recursion?
As mentioned before, recursion is a solution that breaks down big problems into small problems. In general, recursion is called the f
Recursion (recursion) in computer science refers to a method of solving a problem by repeatedly decomposing the problem into sub-problems of similar problems. Can greatly reduce the amount of code. The ability to recursion is to define an infinite set of objects with limited statements. Recursive methods can be used to solve a lot of computer science problems, so
These days to see several articles on the tail recursion, before the tail recursion is not much concept, so back to study the tail recursion.
The concept of tail recursionThe concept of tail recursion (Tail recursion) is a subset of recursive concepts. For ordinary
Hanoi Tower Problem:
from left to right a B C column large plate, small plate on, with the help of B column to move all plates from column A to column C, only one principle: the large plate can only be under the small plate.
If there are 3 plates, large small number, the smaller the more on the top, from the above to the plate in order numbered 1 (small), 2 (Medium), 3 (large), the principle of the following resolution reference to the number here.
As a child played this game, basically play t
The most bare Hanoi:
Step one: Move the n-1 plate to the B-pillar.
Step two: Move the nth pillar to column C
Step three: Move the n-1 plate to the C drive.
The first and third steps are the same, if you only need the minimum number of steps, you can use recursion to write it out regardless of the intermediate step.
Core code
A[1]=1;
for (int i=2;i
a[i]=2*a[i-1]+1;
The most naked figure of course is not enough, now let's look at some variants
hdu2175
The basic concept of recursion is simple: a given code invokes itself until certain boundary conditions are met. In this article, we'll show you how to use recursion in T-SQL.
In my eyes, recursion is one of the most exquisite program structures. I have implemented it in a number of different programming languages in many contexts. The basic concept of
://blog.csdn.net/free2011/article/details/6868334 this blog details a series of operations that call the stack frame during the function.Make a summary:function recursion is to use the stack in the system to operate, through a series of operations on the stack frame, so as to achieve recursion. This process is done by the system.In factorial, we use the parameters of the factorial function into the stack, a
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