NSTEPS - Number Steps


Starting from point (0,0) on a plane, we have written all non-negative integers 0, 1, 2,... as shown in the figure. For example, 1, 2, and 3 has been written at points (1,1), (2,0), and (3, 1) respectively and this pattern has continued.

 

Illustration



You are to write a program that reads the coordinates of a point (x, y), and writes the number (if any) that has been written at that point. (x, y) coordinates in the input are in the range 0...10000.

 

Input

The first line of the input is N, the number of test cases for this problem. In each of the N following lines, there is x, and y representing the coordinates (x, y) of a point.

 

Output

For each point in the input, write the number written at that point or write No Number if there is none.

 

Example

Input:
3
4 2
6 6
3 4

Output:
6
12
No Number

hide comments
clary09: 2021-07-18 16:34:07

Hint: Try summing up the co-ordinates(x&y) and establish a relation b/w this sum and number present in that co-ordinate. You will get all your answers !
btw Nice problem !!

puneet19: 2021-06-25 17:08:00

Look for the even and odd pattern emerging in the coordinates and nothing more.

apurv22: 2021-05-30 17:33:30

just look for two separate AP (arithmetic progression) of the numbers on the two lines. AC in one go

unwanted_coder: 2021-05-24 17:39:27

I am logically illogical :)

hemraj_07: 2021-05-23 08:25:02

AC in one go

bushra_04: 2021-04-12 20:51:47

I AM AN IDIOT

Last edit: 2021-04-13 06:31:51
sk128: 2021-04-06 21:13:25

if (a=1) :(
if(a==1) :)

Last edit: 2021-04-06 21:13:44
its_frost: 2021-03-16 07:33:28

whats wrong with this

<snip>

[NG]: It's wrong not to read the rules in the footer.

Last edit: 2021-03-16 15:53:24
r0l3xr3x: 2021-03-04 11:28:08

My WAs are equal to number of ACs people got in comment sections:
Hints : See even & odd patterns separately, get equation on paper. It'll take time. There is space between No Number and both N are capitol
Try this test case 7 7 gives 13 as answer
Don't think about slope equation or some geometric equation, its not that thing. Just a normal relation

Last edit: 2021-03-04 11:28:41
sarkybastard: 2020-11-24 22:26:22

@anurag_mishra. no you dont


Added by:Camilo Andrés Varela León
Date:2006-11-25
Time limit:1.159s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Asia - Tehran 2000