theWidth and height of the board, respectively. ? The angle between the height axis of the board to theY-axis in degrees, positive clockwise. That's, if? = 0, the projection of the Board on the x-axis wouldBe W. Of course, the boards cannot intersect.OutputFor every test case, output one line containing the fraction of the space occupied by the boards to theTotal space in percent. Your output should have one decimal digit and is followed by a space and aPercent sign ('% ').Note:the sample Input
Approximate test instructions:There are n integer points on the plane, asking how many steps you have at least to be able to tightly surround all the points.Tightly surround the points that require you to walk completely around the given point and not a bit on the pathYou can only go the whole points, and the direction is only up and down left and right down 8 directions, each move one grid.AnswerThe convex hull of the point is constructed first, and
The effect of the following figure
The use of WPS demonstrates a vivid demonstration of the convex lens's convergent effect on light (Fig. 1).
Figure 1
The production method is as follows:
1, create a new blank slide, click the right mouse button, click the "Grid and Guide" command in the pop-up menu, and select the relevant options in the pop-up dialog box (Figure 2).
Figure 2
2, the shape of a
A convex polygon that can completely contain n given points on a plane. This problem generally uses the fast packet algorithm.Quick Bag Idea:1) The n points are sorted by the left of X, and the P1 and PN are found, and the line P1->PN divides the points on the plane into two parts S1 and S2, which are the two parts of the upper and lower packets, and the recursive solution.2) How to find S1 and S2, the two parts of the same algorithm, take S1 as an ex
Reference: https://www.cnblogs.com/zhuohan123/p/3237246.htmlBecause a C can be obtained by 1-a-b, the C is deleted, and a, B is abstracted to a point on a two-dimensional plane. First of all, consider what a customer needs can be the raw materials: two points on the line of raw materials can be, if a number of raw materials, then these lines of the vector of the convex hull points can beSo we get an n tripartite algorithm: Enumerate every two raw poin
Lu, C., et al, Tensor robust principal component Analysis:exact recovery of corrupted Low-rank tensors via convex opt Imization, in IEEE Conference on computer Vision and Pattern recognition. . P. 5249–5257. This article is the note of this CVPR conference paper, mainly on the theoretical method of the article to carry out a detailed explanation. My academic level is limited, if there is any mistake in the text, please correct me.
absrtact: The prob
Scrambled Polygon
Time Limit: 1000MS
Memory Limit: 30000K
Total Submissions: 7805
Accepted: 3712
DescriptionA closed polygon is a figure bounded by a finite number of line segments. The intersections of the bounding line segments is called the vertices of the polygon. When one starts at any vertex of a closed polygon and traverses each bounding line segment exactly once, one comes back to The starting vertex.A closed polygon is call
Test instructions: a circle with a diameter of D has n points, each two points with a line connection, a plane with a space of d parallel lines, the original placed on the plane at least one line segment and parallel intersection of the probability;Ideas:what needle problem; http://wenku.baidu.com/link?url= S3rjrguhcz7kmsxa6o7edr8h1rjjbibu2ocs1yf5bpspwskjkk9w-uvsv4d-cbgv36ua9bpxvfqlla9qlpwbwkybjkfzdap_n5dtwhvt_miThe probability of the intersection of a needle with a length of L and a parallel li
Test instructions: To find the area on both sides of a straight-line split convex package.Solution: Because test instructions will say must pass, then there will not be a straight line and a side coincident with the case. We just have to find a convex hull of a straight line, and the other area equals the total area minus that area.How do you get a convex bag tha
One is to find the number of three-dimensional convex hull surface, the other is to find the surface area of three-dimensional convex hull, are very bare.
Code:
# Include
# Include
# Include
# Include
Using namespace std; const int MAXN = 1050; const double eps = 1e-8; struct Point {double x, y, z; Point () {} Point (double xx, double yy, double zz): x (xx), y (yy), z (zz) {
Convex Hull definition:
The inner angle is 360 °. It looks like a convex polygon. Each angle does not exceed 180 °.
Convex Hull formation:
A convex hull is enclosed by N ending and ending vectors.
Convex bag:
The graph consists of 5 points and 5 vectors.
1. P0
Jostree Reprint Please specify the source http://www.cnblogs.com/jostree/p/4397990.htmlIn machine learning, it is a common problem to find the extremum of convex function, such as gradient descent method, Newton method, and so on, today we introduce a three-way method to find the extremum problem of a convex function.For a convex function such as $f (x), x\in [le
Maximum Distance between convex polygon
Given two Convex PolygonPAndQTo find the point (P,Q)(PBelongPAndQBelongQ) To maximize the distance between them.
Intuitively, these points cannot belong to the interior of their respective polygon. This condition is actually very similar to the diameter problem:
Two convex polygonPAndQThe maximum distance is determined
As the most common method of divide and conquer, the bipartite method is applicable to monotonic functions and is used to approximate the value of a certain point. However, when a function is a convex function, the bipartite method cannot be applied. In this case, the three-way method can be used to show its strength "~~
, Similar to the binary definition of left and right, mid = (left + right)/2, midmid = (Mid + right)/2; If mid is near the extreme
Convex Polygon optimal triangle division
(16:38:40 )[Edit] [Delete]
ReprintedBytes
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Category: Algorithm
Convex Polygon optimal triangle division
Note:
P = {v0, V1,... vn-1} represents a convex side with N side v0, V1, v1v2,..., vn-1vn. V0 = Vn
1.Structure of triangle partitioning and related issuesNumber of operators in a polygon
You ca
as possible to surround them with a convex polygon, and calculate the board as a percentage of the entire packaging area;Meaning: The geometry knowledge used is based on the level order of Andrew algorithm, the rotation of the vector and the area of the polygon to find geometric knowledge;The following vector rotation knowledge is to copy others; And for the polygon area of the law is natural;In a two-dimensional coordinate system, the rotation formu
If there are no more than three points
Python:
import mathclass Point( object ): def __init__( self, x, y ): self.x = x self.y = y def __cmp__( self, other ): if self.y
CPP:
#include
Free Pascal:
program Graham;type TPoint = record x : extended; y : extended; end;var points : array[1..10000] of TPoint; result : array[1..10000] of TPoint; top : Integer; points_num : Integer; i : Integer;procedure Swap( var a, b : TPoint ); inline;var temp : TPo
Because the regular convex hull is saved counter-clockwise, you only need to find the point in the upper left corner, and then go back to it to OK! The original template did not judge the common points, resulting in n times of Wa !!!
# Include
Question link: http://acm.hrbust.edu.cn/index.php? M = problemset A = showproblem problem_id = 1291.
Analysis: because it is a convex polygon, you only need to calculate the cross product for each edge.
VectorPAndQThen their Cross ProductPXQIt has the following properties:
1.PXQ> 0PInQClockwise direction;
2.PXQPInQIn a counter-clockwise direction;
3.PXQ= 0, thenPAndQCollinearity, which may be the same direction or reverse direction;
# I
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