BYTESM2  Philosophers Stone
One of the secret chambers in Hogwarts is full of philosopher’s stones. The floor of the chamber is covered by h × w square tiles, where there are h rows of tiles from front (first row) to back (last row) and w columns of tiles from left to right. Each tile has 1 to 100 stones on it. Harry has to grab as many philosopher’s stones as possible, subject to the following restrictions:
 He starts by choosing any tile in the first row, and collects the philosopher’s stones on that tile. Then, he moves to a tile in the next row, collects the philosopher’s stones on the tile, and so on until he reaches the last row.
 When he moves from one tile to a tile in the next row, he can only move to the tile just below it or diagonally to the left or right.
Input
The first line consists of a single integer T, the number of test cases. In each of the test cases, the first line has two integers. The first integer h (1 <= h <= 100) is the number of rows of tiles on the floor. The second integer w (1 <= w <= 100) is the number of columns of tiles on the floor. Next, there are h lines of inputs. The ith line of these, specifies the number of philosopher’s stones in each tile of the ith row from the front. Each line has w integers, where each integer m (0 <= m <= 100) is the number of philosopher’s stones on that tile. The integers are separated by a space character.
Output
The output should consist of T lines, (1 <= T <= 100), one for each test case. Each line consists of a single integer, which is the maximum possible number of philosopher’s stones Harry can grab, in one single trip from the first row to the last row for the corresponding test case.
Example
Input: 1 6 5 3 1 7 4 2 2 1 3 1 1 1 2 2 1 8 2 2 1 5 3 2 1 4 4 4 5 2 7 5 1 Output: 32 //7+1+8+5+4+7=32
hide comments
gourav:
20121006 18:32:04
yipeeee!! 17th problem :P 

Aman Gupta:
20120729 09:26:31
cannot believe got AC in miserman in first go, and WA in this even after checking thoroughly Last edit: 20120729 09:26:54 

Aditya:
20120710 02:37:08
my program is working logically, i implemented recursion by calculating the max for each node..its giving right answer to the test case, please check where my code gives wrong answer..i can mail you my code 

shivamrana:
20120612 17:20:26
easy 1.... ;) 

BlackBird:
20120223 16:01:31
"Each tile has 1 to 100 stones on it." AND "Each line has w integers, where each integer m (0<=m<=100) is the number of philosopher’s stones on that tile." ...Contradicting sentences! 

BOND:
20120215 16:02:53
try "through the troops" and "wise and miser" after this 

anurag:
20101226 20:07:25
after doing this problem try out the problem MISERMAN :) Last edit: 20101226 20:07:46 

rockdude:
20100917 12:58:31
simple indeed :) 

Peutri:
20100901 21:53:10
To elaborate on Simon's comment: the number of integers is indeed correct overall, but the formatting is nothing like the problem description says.


sudipto das:
20100520 08:28:27
<No spoilers in the comments>

Added by:  Paritosh Aggarwal 
Date:  20090221 
Time limit:  0.141s0.393s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
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