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Hunan Normal University
College of Mathematics and Computer Science
Equilateral triangle
Time Limit: 1000ms, Special Time Limit:2500ms, Memory Limit:32768KB
Total submit users: 68, Accepted users: 31
Problem 10008 : No special judgement
Problem description
  

There is an infinite equilateral triangle gridding numbering vertices(crossing points) as shown in figure below.Some three vertices of them form an equilateral triangle,for example,{1,2,3},{7,9,18},etc.These equilateral triangles must satisfy that each edge of the equilateral triangle is a part of a line of the equilateral triangle gridding.Thus vertices{5 10 13} are not vertices of an equilateral triangle.

Your task is to point out whether three given vertices form an equilateral triangle.

Input
  Input is a sequence of lines, each line containing three integers:i,j,k , indicating numbers of 3 vertices. You may assume that 1>i,j,k<231 .

Output
  For each line of input, output one line i j k are vertices of an equilateral triangle. if vertices {i,j,k} form an equilateral triangle,otherwise, output one line i j k are not vertices of an equilateral triangle.

Sample Input
1 2 3
6 7 8
7 9 18
5 10 13
Sample Output
1 2 3 are vertices of an equilateral triangle.
6 7 8 are not vertices of an equilateral triangle.
7 9 18 are vertices of an equilateral triangle.
5 10 13 are not vertices of an equilateral triangle.
Problem Source
  HNU Contest 

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