Code Submission Evaluation System Login

CSES Problem Set

Labyrinth


Task | Statistics


CSES - Labyrinth

Time limit:1.00 s Memory limit:512 MB

You are given a map of a labyrinth, and your task is to find a path from start to end. You can walk left, right, up and down.

Input

The first input line has two integers $n$ and $m$: the height and width of the map.

Then there are $n$ lines of $m$ characters that describe the labyrint. Each character is . (floor), # (wall), A (start), or B (end). There is exactly one A and one B in the input.

Output

First print "YES", if there is a path, and "NO" otherwise.

If there is a path, print the length of the shortest such path and its description as a string that consists of characters L (left), R (right), U (up), and D (down). You can print any valid solution.

Constraints
Example

Input:
5 8
########
#.A#...#
#.##.#B#
#......#
########


Output:
YES
9
LDDRRRRRU