MATSUM  Matrix Summation
A N × N matrix is filled with numbers. BuggyD is analyzing the matrix, and he wants the sum of certain submatrices every now and then, so he wants a system where he can get his results from a query. Also, the matrix is dynamic, and the value of any cell can be changed with a command in such a system.
Assume that initially, all the cells of the matrix are filled with 0. Design such a system for BuggyD. Read the input format for further details.
Input
The first line of the input contains an integer t, the number of test cases. t test cases follow.
The first line of each test case contains a single integer N (1 <= N <= 1024), denoting the size of the matrix.
A list of commands follows, which will be in one of the following three formats (quotes are for clarity):
 "SET x y num"  Set the value at cell (x, y) to num (0 <= x, y < N).
 "SUM x1 y1 x2 y2"  Find and print the sum of the values in the rectangle from (x1, y1) to (x2, y2), inclusive. You may assume that x1 <= x2 and y1 <= y2, and that the result will fit in a signed 32bit integer.
 "END"  Indicates the end of the test case.
Output
For each test case, output one line for the answer to each "SUM" command. Print a blank line after each test case.
Example
Input: 1 4 SET 0 0 1 SUM 0 0 3 3 SET 2 2 12 SUM 2 2 2 2 SUM 2 2 3 3 SUM 0 0 2 2 END Output: 1 12 12 13
hide comments
Archit Jain:
20141220 13:43:47
long long giving tle 

Divyank Duvedi:
20141201 20:49:02
It is very hard to get it AC using 2D segTrees (QuadTrees) 

Anant Kumar:
20141013 22:01:00
A blank line after after every test case. Seriously!


GURVINDER SINGH:
20140605 13:46:26
AC With long long wa with int o.O 

zicowa:
20140420 12:26:08
@those who are getting WAs . put a newline after each test case or use only int not long long .if this does not work then check your code again probably mistake is there. 

Olli Forty:
20140117 16:32:23
As Ihtisham, I am getting error(SIGSEGV) although code runs fine on ideone. Can you please provide an example with two test cases? (This would also clarify the blank line issue). 

Savan Popat:
20140102 09:47:52
strange TLE with long long. changed to int and AC :). anyway nice question. learned 2DBIT Last edit: 20140102 09:48:20 

code quá nhanh ...:
20131218 15:29:33
NO blank line between the tests!! costs me some WAs 

aqfaridi:
20140102 09:48:47
use fast i/o .. 

Surya kiran:
20140102 09:48:38
what are the constraints for t? 
Added by:  Matthew Reeder 
Date:  20061029 
Time limit:  1.029s 
Source limit:  30000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  AlKhawarizm 2006 