codeforces#P323A. Black-and-White Cube

    ID: 26520 远端评测题 1000ms 256MiB 尝试: 0 已通过: 0 难度: 5 上传者: 标签>combinatoricsconstructive algorithms*1600

Black-and-White Cube

Description

You are given a cube of size k × 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 k3 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.

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

Print -1 if there is no solution. Otherwise, print the required painting of the cube consequently by layers. Print a k × k matrix in the first k lines, showing how the first layer of the cube should be painted. In the following k lines print a k × k matrix — the way the second layer should be painted. And so on to the last k-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.

Input

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

Output

Print -1 if there is no solution. Otherwise, print the required painting of the cube consequently by layers. Print a k × k matrix in the first k lines, showing how the first layer of the cube should be painted. In the following k lines print a k × k matrix — the way the second layer should be painted. And so on to the last k-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.

Samples

1

-1

2

bb
ww

bb
ww