Output a m * n matrix in the following regular order: line1: 1 6 7 line2: 2 5 8 line3: 3 4 9

Output an M * n matrix arranged according to the following rules.
1 6 7
2 5 8
3 4 9

 

Analysis: The key is to find out the matrix rules. on the Internet, the analysis is as follows:

 

Set behavior I, column J

 

 

1 2 M 2 m + 1 4 M 4 m + 1 6 m ..

2 m + M-1 2 m + 2 4s-1 4 m + 2 6s-1 ..

3

........

........

M m + 1 2 m + M 3 m + 1 4 m + M 5 m + 1 ..

 

 

We can see that the values of the matrix (I, j) are regular:

(1) when it is an even Column

 

(J, j) = J * M-I + 1;

 

(2) when it is a base series:

 

(J, j) = (J-1) * m + I;

 

 

With this rule, the algorithm is simple. The C # implementation is as follows:

 

 

Using system;
Using system. Collections. Generic;
Using system. LINQ;
Using system. text;

Namespace first_matix
{
Class Program
{
Static void main (string [] ARGs)
{
Printmatrix (3, 3 );
Console. readkey ();

}

Static void printmatrix (int m, int N)
{

For (INT I = 1; I <= m; I ++)
{

For (Int J = 1; j <= N; j ++)
{
If (J % 2 = 0)
Console. Write ("{0}", J * M-I + 1 );
Else
Console. Write ("{0}", (J-1) * m + I );

 
}

Console. writeline ();
}
 

}
}
}