CF323A.Black-and-White Cube

普及/提高-

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题目描述

You are given a cube of size k×k×kk×k×k , which consists of unit cubes. Two unit cubes are considered neighbouring, if they have common face.

Your task is to paint each of k3k^{3} unit cubes one of two colours (black or white), so that the following conditions must be satisfied:

  • each white cube has exactly 2 neighbouring cubes of white color;
  • each black cube has exactly 2 neighbouring cubes of black color.

输入格式

The first line contains integer kk (1<=k<=100)(1<=k<=100) , which is size of the cube.

输出格式

Print -1 if there is no solution. Otherwise, print the required painting of the cube consequently by layers. Print a k×kk×k matrix in the first kk lines, showing how the first layer of the cube should be painted. In the following kk lines print a k×kk×k matrix — the way the second layer should be painted. And so on to the last kk -th layer. Note that orientation of the cube in the space does not matter.

Mark a white unit cube with symbol "w" and a black one with "b". Use the format of output data, given in the test samples. You may print extra empty lines, they will be ignored.

输入输出样例

  • 输入#1

    1
    

    输出#1

    -1
    
  • 输入#2

    2
    

    输出#2

    bb
    ww
    
    bb
    ww
    
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