ABCPATH - ABC Path

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You will be given a 2-dimensional grid of letters. Find the length of the longest path of consecutive letters, starting at 'A'. Paths can step from one letter in the grid to any adjacent letter (horizontally, vertically, or diagonally).

For example, in the following grid, there are several paths from 'A' to 'D', but none from 'A' to 'E':

ABC

One such path is:

path

Input

Each test case will start with a line contains two integers H, W the height and width of the grid respectively 1 <= H, W <= 50. Then H lines follow each of W uppercase letters only. Input terminates with H = 0 and W = 0.

Output

For each test case print “Case C: X” without quotes where C is the case number starting with 1 and X is the solution.

Example

Sample Input:
4 3
ABE
CFG
BDH
ABC
0 0

Sample Output:
Case 1: 4

hide comments
jaykay12: 2017-05-23 23:26:13

Use Recursion with memo. Take care of Output statement.
AC in 1 go. :)

rraj001: 2017-05-15 12:32:14

use DFS+memo :D

aditya9125: 2017-05-09 13:29:36

Used DP, nothing new.

rohit9934: 2017-05-07 09:08:23

See Number of islands problem GeeksforGeeks Before this(If you are new in 2D Matrix Graph Traversals Like me :p

Nafis Islam: 2017-04-11 23:47:03

ios_base::sync_with_stdio(false) costed me a lot of wa. Dont know why sync_with_stdio creates string input problem

Last edit: 2017-04-11 23:47:45
anurag_tangri: 2017-03-16 18:41:15

AC after 10 WA's :(

nilabja16180: 2017-03-08 11:02:27

dfs with memo works otherwise TLE!
2 TLE!

scorpion_ajay: 2017-03-07 08:24:06

basics for DFS, AC in second go ;)

da_201501181: 2017-03-03 21:13:18

AC in one GO.!! Simple BFS
java- 0.19s

gauravgb21: 2017-02-27 19:20:09

AC in first go
it always feels awesome when ur solution gets accepted in 0.0!


Added by:Ali Arous
Date:2011-11-05
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:FCIS Local Contest 2012