CF625C.K-special Tables

普及/提高-

通过率:0%

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题目描述

People do many crazy things to stand out in a crowd. Some of them dance, some learn by heart rules of Russian language, some try to become an outstanding competitive programmers, while others collect funny math objects.

Alis is among these collectors. Right now she wants to get one of kk -special tables. In case you forget, the table n×nn×n is called kk -special if the following three conditions are satisfied:

  • every integer from 11 to n2n^{2} appears in the table exactly once;
  • in each row numbers are situated in increasing order;
  • the sum of numbers in the kk -th column is maximum possible.

Your goal is to help Alice and find at least one kk -special table of size n×nn×n . Both rows and columns are numbered from 11 to nn , with rows numbered from top to bottom and columns numbered from left to right.

输入格式

The first line of the input contains two integers nn and kk ( 1<=n<=500,1<=k<=n1<=n<=500,1<=k<=n ) — the size of the table Alice is looking for and the column that should have maximum possible sum.

输出格式

First print the sum of the integers in the kk -th column of the required table.

Next nn lines should contain the description of the table itself: first line should contains nn elements of the first row, second line should contain nn elements of the second row and so on.

If there are multiple suitable table, you are allowed to print any.

输入输出样例

  • 输入#1

    4 1
    

    输出#1

    28
    1 2 3 4
    5 6 7 8
    9 10 11 12
    13 14 15 16
    
  • 输入#2

    5 3
    

    输出#2

    85
    5 6 17 18 19
    9 10 23 24 25
    7 8 20 21 22
    3 4 14 15 16
    1 2 11 12 13
    
    
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