MATSUM - Matrix Summation

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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.


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):

  1. "SET x y num" - Set the value at cell (x, y) to num (0 <= x, y < N).
  2. "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 32-bit integer.
  3. "END" - Indicates the end of the test case.


For each test case, output one line for the answer to each "SUM" command. Print a blank line after each test case.


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

Warning: large Input/Output data, be careful with certain languages

hide comments
lt: 2016-11-28 17:10:05

2d-Segment Tree with most optimizations => TLE
2d - BIT => AC

Chandan Kumar Rai: 2016-11-09 05:40:09

In java , Bit2d give TLE .. any suggestions for AC

haozx1997: 2016-08-07 14:08:14

Hi guys ......if you got a Runtime error(SIGSEGV),change all the long long to int .

Mahtab: 2016-07-09 17:07:55

can any one give some test cases , I am getting error(SIGSEGV) .

narutorocks: 2016-06-15 18:37:24


vsp4: 2016-06-04 07:10:11

Damn Its 1024**** Costed me few WA. Int works too :)

Opu: 2016-04-06 10:52:46

I used long long and got ac and took .69s. @Whatever.

:.Mohib.:: 2016-02-24 13:41:25

Awesome question...!!

minhthai: 2016-01-11 12:53:46

in java, bit2d gives tle @_@

xxbloodysantaxx: 2015-12-08 17:44:45

its SET not update !

Added by:Matthew Reeder
Time limit:1.029s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Al-Khawarizm 2006