Problem7564-- [CSES Problem Set] Labyrinth

7564: [CSES Problem Set] Labyrinth

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Time Limit : 1.000 sec  Memory Limit : 256 MiB  Special Judge

Description

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 mm characters describing the labyrinth. 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 consisting of characters L (left), R (right), U (up), and D (down). You can print any valid solution.

Constraints

$1≤n,m≤1000$

Sample 1 Input

5 8
########
#.A#...#
#.##.#B#
#......#
########

Sample 1 Output

YES
9
LDDRRRRRU

HINT

相同题目:CSES 1193

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