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Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Statement

 Goal

Instructions
Your goal is to output a cube of dimensions w × h × d in ASCII Art, oriented so that the front face is in the direction of bottom left.
Therefore, the three visible faces are the front, the top and the right.
The visible edges are represented with the characters /, \ and _.
You'll have to draw the hidden edges too, with the characters , and ..

Notes
or are characters from braille alphabet. Their unicode are 0x280c and 0x2821, respectively.
• Because a console character is higher than large, a unit of 1 w (width) is represented with two characters instead of one (__ or ..).
• If a visible face has a width, a height or a depth of 1, you won't have to draw the hidden edges behind this face.
• If a solid line and a dotted line are layered on the same character, the priority always goes to the solid line, except for a hidden oblique edge ( or ), which must replace a visible horizontal edge (_) (see examples below).

Examples

Input:
w = 4
h = 2
d = 4


Output:
________
/⠡ /\
/ ⠡..../..\
/ ⠌ / /
/___⠌___/ /
\ ⠌ \ /
\⠌______\/


Input:
w = 6
h = 2
d = 2


Output:
____________
/⠡ /\
/__⠡________/..\
\ ⠌ \ /
\⠌__________\/


Input:
w = 1
h = 1
d = 1


Output:
__
/_/\
\_\/
Input
Line 1: An integer w for the width.
Line 2: An integer h for the height.
Line 3: An integer d for the depth.
Output
An ASCII Art of a cube of dimensions w × h × d.
Constraints
w, h, d > 0
Example
Input
8
3
2
Output
  ________________
 /⠡              /\
/__⠡____________/  \
\   ⠡...........\...\
 \  ⠌            \  /
  \⠌______________\/

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