PLCNUM1  Place the Numbers I
Little Chucha is having a lot of fun with her new computer game. She is given a NxN board which she has to fill with the numbers 1 to N^2, no repetitions allowed. The computer calculates the sum of distances for each pair of consecutive numbers, that is, 1 > 2, 2 > 3, ..., N^2 > 1. The goal is to make that sum as short as possible.
Input
Input consists of a single integer number 1<=N<=100, the size of the board.
Output
Output one possible placing of the numbers. You are to write N lines, N space separated integers each.
Example
Input: 3 Output: 1 2 3 4 5 6 7 8 9 Score: Score for the example is: Distance 1 > 2 : 1 Distance 2 > 3 : 1 Distance 3 > 4 : 3 Distance 4 > 5 : 1 Distance 5 > 6 : 1 Distance 6 > 7 : 3 Distance 7 > 8 : 1 Distance 8 > 9 : 1 Distance 9 > 1 : 4 Sum of distances (SOD): 16, Min SOD: 10, Score: 1+1610=7 points.
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[Rampage] Blue.Mary:
20170927 09:23:38
The judge of this problem is broken.


rockdude:
20110124 09:53:10
is ter any algorithm to solve this prob? 
Added by:  Yandry Perez 
Date:  20090422 
Time limit:  0.600s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 