Problem Statement

Dolphin resides in two-dimensional Cartesian plane, with the positive $x$-axis pointing right and the positive $y$-axis pointing up. Currently, he is located at the point $(sx,sy)$. In each second, he can move up, down, left or right by a distance of $1$. Here, both the $x$- and $y$-coordinates before and after each movement must be integers. He will first visit the point $(tx,ty)$ where $sx < tx$ and $sy < ty$, then go back to the point $(sx,sy)$, then visit the point $(tx,ty)$ again, and lastly go back to the point $(sx,sy)$. Here, during the whole travel, he is not allowed to pass through the same point more than once, except the points $(sx,sy)$ and $(tx,ty)$. Under this condition, find a shortest path for him.

Constraints

• $-1000 ≤ sx < tx ≤ 1000$
• $-1000 ≤ sy < ty ≤ 1000$
• $sx,sy,tx$ and $ty$ are integers.

Input

The input is given from Standard Input in the following format:

sx sy tx ty

Output

Print a string $S$ that represents a shortest path for Dolphin. The $i$-th character in $S$ should correspond to his $i$-th movement. The directions of the movements should be indicated by the following characters:

• U: Up
• D: Down
• L: Left
• R: Right

If there exist multiple shortest paths under the condition, print any of them.