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Algorithms-Meanings of mathematical terms and mathematical terms in discrete mathematics, and answers to discrete mathematics and Algorithms
Here we will introduce two important functions in discrete mathematics: The base function and the top function. Make x a real number. The base function rounds x to an integer smaller than or equal to x and closest to x, while the top function rounds x to an integer gr
Quick sorting (Quick sort)Start by selecting one of the data (usually the first number of the array) as the key data, and then putting all the smaller numbers in front of it, all the larger numbers are placed behind it, this process is called a quick sort.The array is split into two arrays and then the remaining two arrays are sorted, so the loop is done until one element is left.Import Time,randomimport copydef Cal_time (func): #该装饰器用来测量函数运行的时间 def wrapper (*args,**kwargs): T1 = Tim E.time () r
15 is:27-15=12 (15>12) 15-12=3 (12>3)12-3=9 (9>3) 9-3=6 (6>3)6-3=3 (3==3)Therefore, 3 is the greatest common divisor#include ⑶ Poor Lifting methodThere are two integers a and B:①i=1② If a, B can be divisible by I at the same time, then t=i③i++④ If I ⑤ If i > A (or b), then T is greatest common divisor, endingImproved:①i= A (or b)② If a, B can be divisible by I at the same time, then I is greatest common divisor,End③i--, go back and run ②.There are two integers a and B:①i=1② If a, B can be divis
;3)12-3=9 (9>3) 9-3=6 (6>3)6-3=3 (3==3)Therefore, 3 is the greatest common divisor#include ⑶ Poor Lifting methodThere are two integers a and B:①i=1② If a, B can be divisible by I at the same time, then t=i③i++④ If I ⑤ If i > A (or b), then T is greatest common divisor, endingImproved:①i= A (or b)② If a, B can be divisible by I at the same time, then I is greatest common divisor,End③i--, go back and run ②.There are two integers a and B:①i=1② If a, B can be divisible by I at the same time, then t=
Method One: Incremental construction methodUnderstanding recursion has to understand what a function does.#include { printf ("{"); for (int i=0;i, A[i]); printf ("}\n"); int mi=cur?a[cur-1]+1:0; Use dictionary order to avoid duplicate printing for (int i=mi;i { a[cur]= }}int main () {int n; int a[ 10]={}; scanf ("%d",N); Print_subset (n,a,0);//initially a subset of 0 elements is stored in a, starting to recursively print return 0;} Method Two: Bit vector methodEnumer
Binary Search of basic algorithms and binary search of Algorithms
Binary Search algorithm C
Binary Search also belongs to the search range of the ordered table. Binary Search is also called a half-fold search. The time complexity of Binary Search (ordered) is O (LogN ).
The basic idea of binary search is to take the intermediate record as the comparison object in an ordered table. If the given value is the
I is more than 1 to i-1 each candidate, then applicant I will be employed. Since it is assumed that candidates appear in random order, the first I candidates appear in random order. any one of these former I candidates is likely to be the most qualified at the moment. The probability that candidate I is more qualified than the candidate from 1 to I-1 is 1/i, so it is also employed in the probability of 1/i . By lemma 5.1, you can draw a conclusionIt is now possible to calculate e[x]:Even if you
Zhao GangIntroductionIn a virtual world built on 3D games, virtual scenarios require high fidelity. Among them, 3D terrain fidelity is one of the keys. However, the generation and drawing of 3D terrain requires a huge amount of computing, and the generation of real-world terrain also requires the support of the terrain database, generating Realistic 3D terrain in real time on PCs with limited computing power has always been a challenge in the industry. After years of exploration, the 3D terrain
It is recommended that first look at the preface: http://www.wutianqi.com /? P = 2298 Total Directory: http://www.wutianqi.com /? P = 2403 GreedyAlgorithmTo avoid comparison with DP, so we need to know about the previous DP. Greedy algorithms make the selection seem to be the best at present, and we hope to generate a global optimal solution through the local optimal selection. Like summary DP in the previous chapter, I will first give an example o
In-depth introduction to game algorithms (4)-unity3d algorithms (1)-ball rotation, in-depth introduction-unity3d
Ball rotation
Place the unity3d components in the following layout, and set the rendering, position, light source, and size.
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Diagram of JavaScript data structures and algorithms and graph algorithms
This article mainly introduces the JavaScript data structure and algorithm diagram and graph algorithm. This article describes the directed graph, unordered graph, simple graph, and graph traversal. For more information, see
Graph Definition
A Graph is a set of vertices that have a finite number of non-empty sets and edges between v
Seven common sorting algorithms and seven common sorting algorithms
1: Bubble Sorting:
// BubbleSort. cpp: defines the entry point of the console application. // # Include "stdafx. h "# include
2: insert directly to sort:
// InsertSort. cpp: defines the entry point of the console application. // # Include "stdafx. h "# include
3: Hill sorting:
// ShellSort. cpp: defines the entry point of the console appl
Grouping Algorithm
I. Basic Concepts
In computer science, divide and conquer is an important algorithm. The literal explanation is "divide and conquer". It is to divide a complicated problem into two or more identical or similar subproblems, and then divide the subproblems into smaller subproblems ...... Until the final sub-problem can be solved simply and directly, the solution of the original problem is the merge of the sub-problem solutions. This technique is the basis of many efficient
1. Message complexity
LsAlgorithmO (NE) n is the number of nodes in the network, and E is the number of links. When the cost of each link changes, the new link fee must be sent to all nodes.When the link fee of the DV algorithm changes, the DV algorithm only changes when the new link fee causes the lowest cost path of the node associated with the link to change, to spread the changed link fee.
2. Convergence Speed
Ls O (N ^ 2)The DV algorithm is slow to converge (depending on the related pa
1. Sorting PackageSuanfa;/*** requires a string of character arrays to be arranged from small to large. * @authorlindq3 * * 2017-2-15*/ Public classSorttest { Public Static voidMain (string[] args) {string[] str=Newstring[]{"1", "22", "3", "33", "1", "2"}; String temp; for(inti = str.length-1; I >=0; i--) { for(intj = 0; J ) { if(!comprae (str[j],str[j+1])) {//The comparison of the first J element is not smaller than the j+1 element, if not the swap position. t
that there is no such a universal program that can determine if any program can stop at a given input.The greatness of science lies in the constant proof and proof that the greatness of scientists lies in the affirmation and negation of constant exploration, while thought and logic clearly play a fascinating role in this midst. Without thinking there is no logic, and no logical thinking does not exist the meaning of thinking, immersed in the sea of theoretical science, forget the trivial of tec
Sorting algorithms-Simple selection and sorting algorithms --
Simply select sorting, that is, execute the n-I comparison, and then select the smallest value from the n-I + 1 data. If the minimum value is not I (1 =
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