In order to let Anya get more stars from the school, Loid plans to teach some geographic knowledge to Anya.
The first lesson is about Topographic Map(等高線圖), it usually use contour lines to connect points of equal elevation.
In today lesson, the mission for Anya is to draw the topographic map of a regular quadrangular pyramid(正四角椎).
For example, given the center height of the regular quadrangular pyramid, which is 3,
then we can present the topographic map as follow:
Note that the out-most contour will be 1.
There is only one line contains an integer H.
H represents the center height of the regular quadrangular pyramid.
0 < H < 100.
The topographic map of the regular quadrangular pyramid.
Detail will show at sample output.
Remember to put "\n" at the end of each line.