The Templar Test

Problem code: KC205

All submissions for this problem are available.

Points:10

The greatest enemies of the Brotherhood of Brom in their days were the Templar Knights, a band of highly skilled assassins originally established in 1118 to protect pilgrims and the Holy Sepulcher. Like the Brotherhood s game of testing each other s wits, the Knights too had a game of their own.

The game was played on a board with squares arranged on rows and columns. The pieces used in the game attacked pieces that were either (a) two rows and one column away from its position, or (b) one row and two columns away from its position.

This is exactly the nature of the problem you have been presented with at the finals of the global race in Rio de Janeiro. I n order to develop an unbeatable algorithm for the game, you are to determine the largest number of game pieces that can be placed on a board with M rows and N columns so that no piece is attacking any other. M and N will each be no larger than 500.

Input

The first line of input consists of no of test cases T(<100).The next T lines consist of pairs of integers giving values for M and N.(M,N<=500)

Output

For each input pair, display the number of pieces that can be appropriately placed.

Example

Input: 
3
2 3
5 5
4 7
Output: 
4
13
14

Author: ankitbabbar
Date Added: 16-10-2009
Time Limit: 5 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


Comments

hey admin are you sure that

raman bhatia @ 13 Jun 2010 03:29 PM

hey admin are you sure that the test cases are fine??

i mean.. m damn sure my logic isn't invalid.. i have crosschecked using two different algos, both give same answers.. kindly have a look at my submission.. m getting wrong answer for that

All submissions for this

shashidhar.msk @ 11 Mar 2011 05:45 PM

All submissions for this problem are available.

below the above line, there is:

Points 10

Was it there by mistake or has it any meaning..?

 

There can be points for the practice problems also, for who ever solves it first..

@shashidhar, this qn appeared

tijoforyou @ 12 Mar 2011 08:12 AM

@shashidhar, this qn appeared in an external contest hosted on codechef.

those points were there for original contest.

it is available for practise, but the points wont be there.

@shashidhar, this qn appeared

tijoforyou @ 12 Mar 2011 08:12 AM

@shashidhar, this qn appeared in an external contest hosted on codechef.

those points were there for original contest.

it is available for practise, but the points wont be there.

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