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[Original] backtracking (combination problem, eight queens Problem)

depth and increase the breadth.}} While (1 );} 1.2. Eight queens Problem description: Find all the la s of n Chinese chess "Queens" on an nxn chessboard.[Analysis]A. the intuitive method is to use a two-dimensional array, but after careful observation, we will find that this representation method makes it difficult to adjust the solution and check its rationality. A better way is to express frequently-used information as directly as possible. For this question, common information is not the spe

Mathematical geometric theorem and 13 basic inequalities

Well-known theorem in ry (not sure all are correct, but some errors have been found and corrected)1. Pythagorean Theorem)2. Projection Theorem (Euclidean theorem)3. The three midline of the triangle is handed over to a point, and each midline is divided into two parts by this point: 2: 1.4. The link between the two diagonal centers of the Center on both sides of the quadrilateral is placed at one point.5. The center of the two triangles made by the ce

HDU birthday toy special restricted polyA

Q: Color n beads in K. Note that two adjacent beads cannot use the same color. This is not equivalent to mod 10000000007. In addition, there is another condition for this question. N small beads must be surrounded by a large bead, so you must select a color from K to color the large beads. Because the data for this question is large 1 Then the element on the main diagonal line is all 0, and the other is all 1. What we need is the matrix to evaluate

Ultraviolet A 11538-Chess Queen // count

For a given m * n Board, there are three ways to place the black and white queen. Rows, columns, and diagonal lines. Row:Select a queen to place one queen in m * n mode, and then place another queen in (n-1) mode.N * m * (n-1)Method. Column:LikewiseN * m * m-1). Diagonal line:The diagonal line has two directions: "/" and "\". Consider one direction first. The len

Eight queens Problem (n queens Problem): recursive and non-recursive solutions (C ++)

Eight queens Problem: put eight queens on the 8*8 lattice board. Any two queens cannot be in the same row, in the same column, or on the same diagonal line. There are several ways to solve this problem. Queen N problem: Put N queens on the board of N * n grids. Any two queens cannot be in the same row, in the same column, or on the same diagonal line. There are several methods to solve this problem. # In

"As3.0 advanced animation programming": Chapter 4 path search (astar/A *) algorithm (medium)

The last part mentioned the basic concepts such as node, cost, and valuation formula. With this knowledge, we can start our journey! For example, this is a grid with five rows and eight columns. The yellow node is the start point, the red node is the end point, and the black node is an obstacle (node ). The routing process can be considered as follows: 1. First, start from the center, expand the circle to the surrounding area, and calculate the cost of a single step g (that is, the cost of movi

Ogre implements tianlong terrain

vertex. The. gridinfo file must be used to set UV for each vertex. This file defines the texture information corresponding to each grid. For details about the file format, I will not go into details here. Http://www.cppblog.com/mybios/archive/2009/07/26/91267.html This is a positive solution. It seems that there are more or less errors in other places. Especially when op is set to 8, note that the two points on the two sides of the diagonal line (not

2015.8.17 PCA

can simultaneously show the correlation between different dimensions and the variance of each dimension? Natural non-covariance matrix is the genus. Recalling the contents of the covariance matrix, the covariance matrix measures the relationship between dimensions and dimensions, not between samples. The elements on the main diagonal of the covariance matrix are the variances (that is, the energy) on each dimension, and the other elements are the cov

2n Queen question

In the Blue Bridge Cup basic training problem, there are such a topic:Problem descriptionGiven a n*n chessboard, there are some places in the chessboard that cannot be placed in Queens. Now to put n black Queen and n White Queen in the chessboard, so that any two black queens are not on the same line, the same column or the same diagonal, any two white queens are not on the same line, the same column or the same d

Principal component Analysis (PCA)

table 1)  To summarize , there are two aspects:1) The variance of the line vectors is as large as possible, Cov (x,x) Cov (y,y) (variance)2) The covariance between line vectors is 0 Cov (x, y) Cov (y,x)A column vector is a vector of values in the "new axis" projection after the data has been reduced to dimension.We combine these two aspects of a matrix, which is called the covariance matrix, our goal is to make its diagonal other than the covariance

DPI, dip, resolution, screen size, px, density relationships, and conversions

First, the basic concept Dip:density independent pixels, device independent pixels. DP: Just Dip PX: pixels dpi : dots per inch, which is directly the number of pixels in an inch. A common value of 120,160,240. I am generally referred to as pixel density, short density density : Direct translation of the words seems to be called density. Common values are 1.5, 1.0. Proportional to the standard dpi (160PX/INC) Resolution: The number of pixel points in 2 directions, co

Leetcode Note: Rotate Image

after rotating 90 degrees clockwise is:7 4 18 5 29 6 3An equivalent transformation can be summed up:First, each element of the matrix is exchanged along the main diagonal;1 2 3-1) 4 74 5 6-2 5 87 8 9-3) 6 9Then, the elements of each column are flipped symmetrically along the horizontal midline, where the first and third columns are symmetric about the second column, so just swap the one or three column elements to get the result after 90 degrees of r

Compressed storage of advanced (second) matrix (sparse matrix) of data structure

compressed storage of matrices (sparse matrices)NoteThis article reproduces the address:http://blog.163.com/zhoumhan_0351/blog/static/39954227201001112526244/In order to save storage space and speed up processing, this kind of matrix needs to be compressed, and the principle of compressing storage is that the same elements are not stored repeatedly; 0 value elements are not stored.first, related concepts㈠ Special matricesIn the matrix, most of the values are the same, or not 0, and the distribut

HDU2553 n Queen question "backtracking method"

N Queen's questionTime limit:2000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)Total Submission (s): 9579 Accepted Submission (s): 4314Problem DescriptionN-Queens are placed in the N*n's checkered checkerboard, making them not attack each other (that is, any 2 queens are not allowed to be in the same row, in the same column, or in a diagonal line with a 45-angle checkerboard border.)Your task is to find out how many legal placement me

Topic 17: Eight Queens question

the same column; 2) b position the lattice above the left diagonal diagonal 3) b position at the top right diagonal of the grid; line does not need to detect, because one line can only place a queen, if there is already a queen and B peers, the check will not proceed.Checkerboard data structure and code to create a chessboard#include "stdafx.h"#include using nam

norm, singular value

same as N=norm (a) Usage INF returns the largest row in a and, that is, Max (SUM (ABS (A))) Fro ' returns the diagonal and square root of the product of a and a ', that is, sqrt (sum ( Diag (A ' *a))) 2. If a is a vectorNorm (a,p) returns the P-norm of vector A. That is, return sum (ABS (A). ^p) ^ (1/p), to any p greater than 1 less than positive infinity;Norm (a) returns the 2 norm of Vector A, which is equivalent to Norm (a,2), which is sum (ABS

Phpaddslashes function detailed analysis description _ PHP Tutorial

Detailed analysis of phpaddslashes functions. Syntax: stringaddslashes (stringstr); content description this function adds a diagonal line to the quotation marks in the strings to be processed by the database, so that the database query can operate smoothly. This syntax: string addslashes (string str ); Description This function adds a diagonal line to the quotation mark of the string to be processed by the

POJ3739 Special Squares Problem Solving report

result was less than 2^31Sample input:4 4 30 2 4 60 2 4 61 13 36 6Sample output8Topic Analysis:The main idea is to enter some lines parallel to the x-axis, the y-axis, and some points to output the number of squares containing a bit of these lines.This is a problem covered by the area. There are two difficulties in the subject: 1. How to judge and count all squares (not rectangles), 2. How to determine if these squares contain points.My idea is to figure out all the squares and then walk throug

Another angle to see matrix analysis

want to look for a constant quantity in a change, called a feature. If a constant quantity is changed after a linear change in the direction of the invariance, that is, then called the eigenvector, the corresponding eigenvalues. From the actual example to talk about "characteristics" is not "characteristic", about this part of the content can refer to the Mathematics of machine Learning (5)-powerful matrix singular value decomposition (SVD) and its application, interpretation is very detailed a

Code[vs] 10,044 zi Lian Chess

Test instructions given 4*4 's chessboard, each position is "B","W" or " ", indicating black, white, or space. The target game is defined as four children with one row, one column, or the same color on a diagonal line. The black and white alternating, the beginning of either party first, the minimum number of steps to achieve the target chess.AnalysisDefine the variables first:Basic Q(1)wt[2][2] record space position (2)int p[4][4] record value, Blac

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