consider cells of a square network n×n as contiguous in the event that they have a typical side, that is, for cell (r,c) cells (r,c−1), (r,c+1), (r−1,c) and (r+1,c) are nearby it.    For a given number n, build a square lattice n×n to such an extent that:    Every integer from 1 to n2 happens in this network precisely once;

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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We will consider cells of a square network n×n as contiguous in the event that they have a typical side, that is, for cell (r,c) cells (r,c−1), (r,c+1), (r−1,c) and (r+1,c) are nearby it. 

 

For a given number n, build a square lattice n×n to such an extent that: 

 

Every integer from 1 to n2 happens in this network precisely once; 

 

On the off chance that (r1,c1) and (r2,c2) are contiguous cells, the numbers written in them should not be neighboring. 

 

Input 

 

The principal line contains one integer t (1≤t≤100). Then, at that point, t experiments follow. 

 

Each experiment is characterized by one integer n (1≤n≤100). 

 

Output 

 

For each experiment, output: 

 

- 1, if the necessary network doesn't exist; 

 

the necessary lattice, in any case (any such network if a significant number of them exist).

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