convex hexagon

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POJ 3525 (compute geometry + convex polygon max inscribed circle)

Problem Description: The main land of Japan called Honshu is a island surrounded by the sea. In such-an, it's natural to ask a question: "Where's the most distant point from the sea?" The answer to this question for Honshu is found in 1996. The most distant point was located in former Usuda, Nagano Prefecture, whose distance from the sea was 114.86 km. In this problem, you is asked to write a program which, given a map of a, finds the most distant point from the s EA in the island, and reports

Graham Scan convex packet algorithm

The algorithm for convex hull is one of the most basic algorithms in computational geometry. There are many algorithms for finding convex hull, and theGraham scan algorithm is a very simple and efficient two-dimensional convex hull algorithm that can find convex hull in O(NLOGN) time.First, we introduce the cross produ

Some simple concepts about convex optimization

There is no systematic study of mathematical optimization, but these tools and techniques are commonly used in machine learning, and the most common optimization in machine learning is convex optimization, which can refer to Ng's teaching materials: http://cs229.stanford.edu/section/ Cs229-cvxopt.pdf, from which we can understand some of the convex optimization concepts, such as

POJ 1228 Grandpa ' s Estate (Stable convex bag)

Reading test instructions is critical, enter a point on the convex hull (no point inside the convex hull, either the convex hull vertex or the point on the convex edge) to determine whether the convex hull is stable. The so-called stability is to determine whether the origin

Convex problems, classifiers

Time is fast; I think of a report on the convex problem made by Nankai classmate last year.The following is a friend of the letter written, paste it over with ^_^:The general expression of the optimization problem in mathematics is to get, that is, the n-dimensional vector, the feasible domain, is the real value function on.The convex set refers to any two points in the set, that is, any two points of the c

The way of algorithm re-picking--the optimal triangulation of convex polygon

*************************************** Reprint Please specify the Source: Http://blog.csdn.net/lttree ********************************************Chapter Two: Dynamic programming> Optimal triangulation Algorithm Description:? Polygon: A piecewise linear closed curve on a plane. which consists of a series of straight line segments.? A convex polygon is usually represented by a counter-clockwise sequence of polygonal vertices, that is, P = {v0,v1,...,

[bzoj4445] [Half plane intersection] small convex want to run __bzoj

4445: [Scoi2015] small convex want to run Time Limit:2 Sec Memory limit:128 MBsubmit:756 solved:280[Submit] [Status] [Discuss]Description Xiao Convex evening like to go to the playground to run, today he finished two laps, he played such a game.The playground is a convex n-shaped, n vertices are numbered counterclockwise from the 0~n-l. Now the little

Properties of Convex Functions

Today, the company started a discussion class on machine learning. During this period, a student asked: why is the mean square error function of linear regression convex (like this )? I was excited that the conclusion "convex function is also convex function by polynomial combination" is incorrect. It should be that the conve

Bzoj 4445: [Scoi2015] small convex want to run __ computational geometry

the Xiao Convex evening like to go to the playground to run, today he finished two laps, he played such a game.The playground is a convex n-shaped, n vertices are numbered counterclockwise from the 0~n-l. Now a small convex random stand in the playground of a position, marked as P point. The P-point and N-vertices are connected to each other to form n triangles.

The choice of common-line convex hull polar coordinate sorting and horizontal sorting

The principle of convex hull, here is not much introduced. A few days ago, I encountered a common-line convex hull problem. Because of their own drawings, directly with the polar coordinates of the template up to do, WA a day. Then you look for information, read other people's code, read books. Finally, the polar order of the convex hull does not solve the collin

Application of convex hull algorithm--How many triangles are there in a number of graphs

First, the problem introducedThe problem of judging the number of graphs is often encountered on the network, as the following example:If we are going to select all the triangles in the graph, how do we use the code to determine if the graph we selected is a triangle, given each intersection. For example, how to filter out Figure 3?There are two steps to be used here:1. Get the vertex collection of all the small shapes contained in the selected graph (shaded part), and find the

How to design concave and convex words in PPT

How to design concave and convex words in ppt Although the animation effect is very difficult to copy, but the static effect of this text is very easy to use PPT to achieve, today in this article on the graphics and text detailed use PPT to make the design of concave and convex words. To do the key point of concave and convex text: font on the top of the shadow

POJ 1228:GRANDPA ' s estate (Stable convex package) __pku

Grandpa ' s Estate Time Limit: 1000MS Memory Limit: 10000K Total submissions: 12816 accepted: 3604 Description being the living descendant of his grandfather, Kamran the believer inherited all of the Grandpa ' s Bel Ongings. The most valuable one is a piece of convex polygon shaped farm in the grandpa ' s birth village. The farm is originally separated from the neighboring farms through a thick ro

bzoj2618cqoi2006 Convex polygon __bzoj

2618: [Cqoi2006] Convex polygon Time Limit:5 Sec Memory limit:128 MBsubmit:878 solved:450[Submit] [Status] [Discuss] The vertex coordinates of n convex polygons are given by Description , and the area of their intersection is obtained. For example, when n=2, two convex polygons are shown below: The area of the intersecting part is 5.233. Input The first line has

Codeforces 70D dynamic convex hull

Http://www.codeforces.com/problemset/problem/70/D Two operations 1: Add a vertex to form a new convex hull 2: Determine whether a point is in a convex hull There are two ways to do this, but they are similar, all based on the convex hull method. For example, when a convex packet is obtained in a horizontal

POJ 1228 Grandpa ' s Estate (convex bag)

Grandpa ' s Estate Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 11508 Accepted: 3188 DescriptionBeing the only living descendant of he grandfather, Kamran the believer inherited all of the Grandpa ' s belongings. The most valuable one is a piece of convex polygon shaped farm in the grandpa ' s birth village. The farm was originally separated from the neighboring farms by a t

POJ 1228 Grandpa ' s Estate--deep understanding of convex hull

Test instructions: Determine whether the convex hull is stable.Solution: There are at least three points on each edge of the stable convex hull.The problem is to find the details of the convex hull, there are two algorithms for convex package:1. The Andrew algorithm based on the horizontal order2. The Graham algorithm

Concave and convex textures

Wikipedia, a free encyclopedia (Redirect self-convex texture) Jump to: navigation, search A sphere without a concave and convex texture; the convex and concave texture used; this sphere with a concave and convex texture is exactly the same as the above sphere, which changes the light

CodeforcesRound #113 (Div.2) B. judge whether the polygon is in the convex hull.

Click the question to open the link Convex Polygon A and polygon B to determine whether B is strictly within. Note that AB is important. Combine the vertices on A and B to obtain the convex hull. If the vertices on the convex hull are A point of B, then B is definitely not in. Or A certain point on B is on the side of the con

Simple unification and Application of convex optimization and contraction Algorithms

From: partition sor bingsheng he Http://math.nju.edu.cn /~ Hebma/ Simple unification and Application of convex optimization and contraction algorithms-Algorithm Research strives for the beauty of Mathematics   Preface, contents and summaries   Part 1: solution to monotonic Variational Inequality   1st. variational inequality as a unified expression model for multiple problems   2nd. Projection contraction algorithms for the three basic inequalities

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