Two triangles

Input

First line contains the coordinates of vertices for triangle ABC: x_A, y_A, x_B, y_B, x_C, y_C. Second line contains the coordinates of vertices for the second triangle in the same format. All numbers are integer and do not exceed $5000$ by absolute value. Both triangles have nonzero area.

Output

Print YES if the triangles are similar and NO otherwise.

Examples