A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. Triangles can be classified according to the relative lengths of their sides: \begin{itemize} \item In an equilateral triangle all sides have the same length. An equilateral triangle is also a regular polygon with all angles measuring \textbf{60°}. \item In an isosceles triangle, two sides are equal in length. An isosceles triangle also has two angles of the same measure; namely, the angles opposite to the two sides of the same length; this fact is the content of the Isosceles triangle theorem. \item In a scalene triangle, all sides are unequal. The three angles are also all different in measure. Some (but not all) scalene triangles are also right triangles. \end{itemize} \includegraphics{https://static.e-olymp.com/content/dc/dc7eddeca26400c02f9ddda254f43a9d9589fa4a.jpg} \InputFile The first line of input contains an integer (\textbf{1} ≤ \textbf{T} ≤ \textbf{100}), the number of test cases. T test data sets follow, each data set consists of \textbf{3} integers \textbf{A}, \textbf{B} and \textbf{C}, where (\textbf{1} ≤ \textbf{A}, \textbf{B}, \textbf{C} ≤ \textbf{1000000}) the triangle side lengths. \OutputFile For each test case, print "\textbf{equilateral}", "\textbf{isosceles}" or "\textbf{scalene}" describing the triangle type. If the input doesn’t create a valid triangle output "\textbf{invalid!}". Follow the output format below.