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
sarkybastard: 2020-11-24 22:26:22

@anurag_mishra. no you dont

anurag_mishra: 2020-11-24 15:15:46

you have take all inputs then print awnser otherwise WA

abhinav2011: 2020-08-13 18:30:49

try to search for a pattern

taran9873: 2020-08-10 08:09:45

i got the logic to find the solution but made one mistake i.e make sure given x,y lie on lines x=y or x-y=2

shiva_yanala: 2020-06-02 08:20:48

sdfsd

meher_24: 2020-05-08 18:29:47

i am getting sigabrt error. please help

jopdhiwaala: 2020-02-29 06:36:52

Just look for even and odd pattern :)

sanjeev30798: 2020-01-21 09:58:05

just observe the pattern and you are good to go! There is a uniform difference everywhere.

thiyagumessi: 2019-12-08 13:38:16

Hint: Use line equations

trhgquan: 2019-11-02 16:35:24

For one who is trying, look the figure CAREFULLY, use a ruler or a pencil if you have one. Cost me 5 WA to realised the special.

Last edit: 2019-11-02 16:36:53

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