Triangle

You are given three distinct points on a plane. Classify the figure determined by these points using the rules below.

1. If the three points are collinear, they do not form a triangle. Print X.
2. If all three side lengths are equal, the triangle is equilateral. Print JungTriangle.
3. If exactly two side lengths are equal, the triangle is isosceles.
   1. If the largest angle is greater than 90 degrees, print Dunkak2Triangle.
   2. If the largest angle is exactly 90 degrees, print Jikkak2Triangle.
   3. If the largest angle is less than 90 degrees, print Yeahkak2Triangle.
4. If all three side lengths are different, the triangle is scalene.
   1. If the largest angle is greater than 90 degrees, print DunkakTriangle.
   2. If the largest angle is exactly 90 degrees, print JikkakTriangle.
   3. If the largest angle is less than 90 degrees, print YeahkakTriangle.

The first three lines each contain the x-coordinate and y-coordinate of one point, separated by a space. Every coordinate is an integer with absolute value at most 10,000, and the three points are distinct.

Print the single string that matches the classification.