Recently Boris has invented a new triangle congruence criteria.

Theorem. Triangles A₁B₁C₁ and A₂B₂C₂ are congruent if two sides and the angle opposite to one of them in one triangle are equal to the corresponding sides and angle of another triangle:

• A₁B₁ = A₂B₂,
• B₁C₁ = B₂C₂,
• ∠ B₁A₁C₁ = ∠ B₂A₂C₂.

Show Boris that he is wrong. Given a triangle A₁B₁C₁, construct a triangle A₂B₂C₂ that is congruent to the given triangle according to Boris's theorem, but in fact the triangles are incongruent.

You are given the coordinates of the points A₁, B₁, and C₁ in three lines. All the numbers are integers and their modules do not exceed 100. The triangle A₁B₁C₁ is nondegenerate.

Output “YES” in the first line if the theorem works for this triangle. Otherwise, if there exists a triangle A₂B₂C₂ congruent to the given one according to the theorem but actually incongruent, output “NO” in the first line and in the following three lines give the coordinates of A₂, B₂, and C₂ with the maximal possible accuracy. The absolute values of the coordinates should not exceed 1000 and the triangle should be nondegenerate.