One, the most recent problem: the two-dimensional or multi-bit space to find the closest point in the distance1. StepsA, calculate the distance between each pair of points separatelyB. Find the closest pair(to avoid repeated calculations, consider only those pairs of i2. JavaScript implementation12345678 9Ten -3. Algorithm Analysiscan be used (XI-XJ) 2 + (YI-YJ) 2 instead of sqrt ((XI-XJ) 2 + (YI-YJ) 2), as far as possible to avoid the root; so the basic operation of this algorithm is to cal
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 is actually very similar to the diameter problem:Two convex polygonPAndQThe maximum distance between two polygon is determined by the pair vertex between the polygon. Even so, this definition is different fro
Question: enter a vertex on a convex bag (the vertex inside the convex bag is not, either a convex bag vertex or a dot on the convex bag side) to check whether the convex bag is stable. Stability
It is determined whether the convex
Catalogue
1 Problem Description
2 Solutions
2.1 Brute Force method
1 problem description Given a set of n points on a plane , its convex hull is the smallest convex polygon containing all of these points, and all points satisfying this condition are obtained. In addition, vivid description of the image:(1) We can think of this problem as how to use the shortest fence to surround an n-headed
Question:
Some vertices are on an infinite graph, and each vertex can control some regions. This region satisfies that the arrival time of this vertex is strictly less than that of other vertices. Find the areas where infinite area can be controlled.
Question:
The control range for low speed is limited.
The infinite area can be controlled only when the maximum speed is reached on the convex hull. The vertical line of any two points is the border, and
(Hdu step 7.1.6) Maximum triangle (convex hull Application -- 3 points are found in n points, and the triangle area is the largest), hdu7.1.6
Question:
Maximum triangle
Time Limit: 5000/2000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission (s): 121 Accepted Submission (s): 61
In the course of computing ry, The Problem Description teacher assigned Eddy a question titled n differe
The topic is given n cops and m robbers and Q residents, if a resident in a three cops surrounded by a triangle is safe, otherwise, if in a certain three robbers surrounded by the triangle, is not safe, otherwise is neither.Idea: This can be converted into a convex hull to do. Determine if a resident is inside a convex hull.: Here is one of the convex hull's meth
result retains two decimal places.One row for each set of outputs.
Sample Input33 42 63 762 63 92 08 06 67 7
Sample Output1.5027.00
Authoreddy
Recommendlcy
Topic Analysis:The simple application of convex hull, find 3 points in n points, they form the largest triangle area. There are generally two ways of thinking about this problem:1) Direct violence. This will definitely
https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudgeitemid=8page=show_problem problem=2640http://www.spoj.com/problems/SPOINTS/en/http://poj.org/problem?id=3805http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=1298To have a straight line divided into two convex bags, two convex packets do not intersect, not tangent is necessaryIn the absence of templates, my code, over the Poj,uva, and
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
Test instructions: To a convex hull, containing n points, to remove each point and then to find the convex hull, the average of points on the convex packet. Output in the simplest form of p/q, initially q=n. The topic requires that the convex hull is not allowed to have two adjacent edges parallel.Link: http://codeforc
-integers, x and y ( -10000≤ x, y ≤10000), indicating the coord Inate of a vertex. You have known that no vertices is in the same coordinate.OutputIf the cake is not convex polygon-shaped, output "I can ' t cut." Otherwise, output the minimum cost.Sample Input3 30 01) 10 2Sample Output0Test Instructions:Given the coordinates of N points, first ask whether these points can form a convex hull, assuming
Convex bag problem-Graham scanning method:
(1) Find the leftmost Point P1 in Point Set P [], connect other points in the same point set P1 with line segments, and calculate the angle between these line segments and the horizontal line, then sort by angle from small to large and by the distance to P1 from near to far (angle range is [0,180) degrees, and can delete points with the same angle and close to P1, keep the farthest point, this reduces the amo
DescriptionA TA has a lot of many sister paper, including five Crossing and Dongchuan Road and other men's vocational technical school. However, the distance allowed him to spend a lot of time rushing between the cities. In order to better arrange his dating plan, he wants to know the distance between the farthest two sister paper.Input FormatThe first line has an integer n, which indicates the number of sister paper.The next n lines, two real numbers x, y per line, represent the coordinates of
http://blog.csdn.net/ACMaker/archive/2008/10/29/3176910.aspx
http://cgm.cs.mcgill.ca/~orm/rotcal.frame.html
History:
In 1978, the paper "Computational Geometry", M.i Shamos's Ph.D, marked the birth of this field of computer science. What he was doing was a very simple algorithm for finding the diameter of a convex polygon, which is determined by the maximum value of a pair of points of a polygon.Later, the diameter evolved to be determined by a pai
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
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