Rt,graham scanning method to find convex hull is divided into 3 steps:1. Find the smallest point in Y2. With the smallest point o of Y as the origin, all remaining points are relative to the angle of O and are ordered from small to large at the polar angle.3. For the sorted point set, with the stack, complete the Graham scan.convexhull.py#coding =utf-8import mathimport numpyimport Pylab as pl# draw original Def drawgraph (x, y): Pl.title ("The
ofMajestix and Cleverdix respectively.Each of the next M lines contains the integers x and y ( -1000 £x, y
£1000) giving the co-ordinates of the House of a supporter of
Majestix. For convenience, each house was considered as a single point on the plane.
Each of the next C lines contains the integers x and y ( -1000 £x, y £10 XX) giving the co-ordinates of the House of a supporter ofCleverdix.The input would terminate with a zeros for M and C.OutputFor each test, the input out
Given two Convex Polygon that are not connected (that is, not intersecting)PAndQTo find the point at the minimum distance between them (P,Q)(PBelongPAndQBelongQ).
In fact, polygon do not intersect, because the polygon we call contains all vertices inside it. If the polygon intersect, the minimum distance becomes meaningless. However, this is the problem. On the other hand, the minimum distance between the convex
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
Test instructionsThere are n blocks of non-overlapping rectangular planks, with the small convex polygon to wrap them up, and output and output the total area of the wood to occupy the percentage of the convex polygon area.Analysis:A bare question that is almost convex and polygon area.Note: The final output of the percent semicolon preceded by a space, the first
Convex Polygon minimum area external rectangle
Returns a convex polygon.PThe minimum area can be mountedPWhat is the rectangle of (as far as the periphery is concerned? Technically speaking, given a direction, we can calculatePAnd create an external rectangle. But do we need to test each case to obtain each rectangle to calculate the minimum area? Thank God, we don't have to do that.
For PolygonPAn external
Reprint please indicate the source, thank you http://blog.csdn.net/ACM_cxlove? Viewmode = ContentsBy --- cxlove
Question: Find the maximum diameter of the convex hull.
Http://poj.org/problem? Id = 2187
First, evaluate the convex hull of a polygon.
Then, the maximum diameter is obtained by rotating the jamming case.
In fact, two parallel lines are clamped out of the conv
Ultimate weapon
Time limit:2000 ms
Memory limit:131072 K
Total submissions:1499
Accepted:742
DescriptionIn Year 2008 of the cosmic calendar, the aliens send a huge armada towards the earth seeking after conquest. the humans now depend on their ultimate weapon to retain their last hope of each Val. the weapon, while capable of creating a continuous, closedAnd convex
Emotion:
When I was in college, I often heard from teachers that comments must be written when writing code. I recently read a lot of people's code and found that there are few comments one by one, which is really painful. I don't know. Why did they delete all the comments when they posted the code? Or are they too strong to write comments, which is a waste of time or not? There are really few notes. When they were doing projects for the Japanese, they were very strict with the code format requi
Label: style blog HTTP color Io OS AR for SP
Question:
There are N points on the plane. Find a straight line so that all points are on the same side of the straight line. And find the minimum value of the distance between these points and the straight line.
Analysis:
As long as the straight line does not pass through the convex hull, the first condition is met. To minimize the distance and distance, the straight line must be on the side of the
There are several changes to the naked convex hull: The base point is the top left point, and the convex hull vertex is output clockwise (the most important point in this question: No output on the convex hull side, output vertices clockwise only) and shaping coordinates
Train of Thought: the key point is to bring up the point on the side of the
The width of a convex polygon is defined as the minimum distance between the parallel tangent. This definition has been reflected in the word width. Although the tangent of a convex polygon has different directions, and the width of each direction (usually) is different. Fortunately, not all directions must be detected.
Assume that a line segment [A, B], And twoAAndB. By rotating the lines around these
unacceptable.Now, let's switch our attention to the polar side.What is the polar side? It's also simple: the edges that make up the convex hull are polar edges.So how do we use the polar edges to solve convex hull? As with the pole algorithm, we also examine the characteristics of the polar edges.For any of the two-pole segments (including the "polar side" we're looking for), we can clearly find that the r
/* Test instructions: The convex hull of n points is obtained, and then the circumference of the outer ring with the convex hull is separated from L. The circumference of the convex hull with an n point and a circle with a radius of L */# include Copyright NOTICE: This article for Bo Master original article, without Bo Master permission not reproduced. HDU 1348
Https://www.bnuoj.com/v3/contest_show.php?cid=9147#problem/ETest instructionsGiven the coordinates of n points, you can choose four points to construct a convex quadrilateral, and how many convex quads can be constructed at most?IdeasThe number of convex quads equals the number of C (n,4)-concave quadrilateral shapes.The concave quadrilateral is characterized by
poj2187 the farthest point of the plane, Garham_scan algorithm to find convex hull beauty Contest
Time Limit: 3000MS
Memory Limit: 65536K
Total Submissions: 29666
Accepted: 9180
DescriptionBessie, Farmer John's Prize cow, had just won first place in a bovine beauty contest, earning the title ' Miss Cow World '. As a result, Bessie would make a tour of N (2 Even though Bessie travels direc
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