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
saurabh: 2013-02-03 11:16:42

just see the pattern .........
HInt:-see even and odd number

Narendra yadav: 2013-01-14 18:47:01

sachinmenezes : Print every time in a new line

Anubhav Balodhi : 2013-01-09 15:27:45

i thought da pattern really continued i.e. at (4,0) there is a 4 n so on... damn wrong answer :O

Lalit: 2012-12-27 13:10:24

Last edit: 2012-12-27 13:32:31
Sachin: 2012-10-03 18:42:20

works fine at home but when submiting says wrong answer

Siddharth Shah: 2012-10-03 15:12:32

brute force exceeds the time limit. Have to go by some other way :(

sathyanarayanan: 2012-07-18 16:17:42

use brute force...easy problem :P :)

Last edit: 2012-07-18 16:18:47
Fish3R: 2012-06-28 15:42:42

Just analyse the figure... Easy problem.. :D

sachin tendulkar: 2012-06-27 21:01:21

easy! logic from fig.

marwan akkad: 2012-06-12 15:11:30

I got AC for the first time.
one of the most interesting problem in SPOJ


Added by:Camilo Andrés Varela León
Date:2006-11-25
Time limit:1.159s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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Resource:Asia - Tehran 2000