# Print a Sorry Board

I was just playing the board game Sorry! with some people, and I realized that I could base a few interesting challenges off of it. This one is pretty simple.

You task is simply to output an version of a sorry board, placing pieces where I tell you to.

# Specs

First, here is an image of an actual Sorry! board for reference:

The empty board looks like:

# > - - o # # # # > - - - o # #
#   #   S                     v
o   #             H # # # # # |
|   #                         |
|   #                       S o
|   #                         #
^   H                         #
#                             #
#                             #
#                         H   v
#                         #   |
o S                       #   |
|                         #   |
| # # # # # H             #   o
^                     S   #   #
# # o - - - < # # # # o - - < #


Notice a few features.

• The #'s are empty squares.
• The S's and H's are Start's and Home's respectively.
• The >v<^'s are the start of the slides, depending on which direction they face.
• The |'s and -'s are the middles of slides, depending on if they're horizontal or vertical.
• The o's are the end's of slides.
• Each column is separated by a column of spaces to make it look more square-like.

Now here is what you have to do:

• Your input is a list of coordinates of various pieces that have been placed on the board.
• The coordinates start at 0 at the square outside the Start of the bottom color (yellow in the picture), and increase by one per square clockwise.
• After these 60 squares, the safe zones have the next and last 20 coordinates, starting from the one on the bottom (which gets 60-64), then going clockwise.
• You will have to place star's(*'s) on the correct coordinate, replacing the character underneath for all players.
• Additionally, if any of the players are on the start square of a slider, move them to the end of the slider before placing them.
• You can assume that there will be no collisions, before or after resolving sliders.
• You con't need to worry about the Home's or Start's.
• You can be 1-indexed if you want, but the test cases are 0-indexed.

# Test Cases

[0, 20] ->

# > - - o # # # # > - - - o # #
#   #   S                     v
*   #             H # # # # # |
|   #                         |
|   #                       S o
|   #                         #
^   H                         #
#                             #
#                             #
#                         H   v
#                         #   |
o S                       #   |
|                         #   |
| # # # # # H             #   o
^                     S   #   #
# # o - - - < # # # # * - - < #

[2, 7, 66] ->

# > - - o # # # # > - - - o # #
#   #   S                     v
o   #             H # # # # # |
|   #                         |
|   #                       S o
|   #                         #
^   H                         #
#                             #
#                             #
#                         H   v
#                         #   |
o S                       #   |
|                         #   |
| # * # # # H             #   o
^                     S   #   #
# # o - * - < # # * # o - - < #

• I would have thought this would be more interesting if the values were given as distances from the respective start squares (so for instance the first test case might be 0, 5 and the second might be 2, 60, 37). – Neil Dec 7 '16 at 10:20
• @Neil how would you know which start square to use? – Maltysen Dec 7 '16 at 12:24
• Sorry, I assumed that you used the squares in clockwise order, but I guess that wouldn't be very fair for a 2-player game. – Neil Dec 7 '16 at 12:26
• @Closevoters: What's unclear about this? If you identify some specific concerns, it will make it easier to fix them so that this can stay open. – James Dec 7 '16 at 17:30
• My confusion is about the indexing, before and after 60 has been reached and when to mark locations in the home section. I think if you clarified your examples more it would make more sense. Otherwise it looks pretty cool. – jacksonecac Dec 7 '16 at 20:34

# APL (Dyalog Unicode), 204 bytes

(~2|⍳31)\'H'@(g⊂2 9)⊢'S'@(g⊂4 14)⊢('*'@({(60>⍵)⊃⍵,60|⍵+4 3+.×5 12=15|⍵}¨⎕)⊢'o####<---o##^||o####^|||o##>--o####>---o##v||o####v|||o##<--',20⍴'#')@((4⌽g 15,⍨¨⍳15),(g←(15∘-,⊢)(|15 0-⌽)¨,⊢)2,¨14-⍳5)⊢16 16⍴''


Try it online!

It is very likely possible to compress the hardcoded length-60 string, but I'm too lazy :P

A full program that takes a vector of numbers from stdin and prints the board to stdout. Uses lots of @ to place various things at various places, starting from an empty board. This is an interesting use case for an otherwise seldom used built-in @.

⍝ Hardcoded string of the 80 positions that can be occupied by players
s←'o####<---o##^||o####^|||o##>--o####>---o##v||o####v|||o##<--',20⍴'#'

⍝ Place '*' for actual players' positions
s←'*'@({(60>⍵)⊃⍵,60|⍵+4 3+.×5 12=15|⍵}¨⎕)⊢s
({                             }¨⎕)  ⍝ Take input and slide the positions
60|                       ⍝ Wrap 60 to 0
(60>⍵)⊃⍵,                          ⍝ Discard change if n is 60 or higher
'*'@ ... ⊢s  ⍝ Overwrite '*' at players' positions on s

⍝ Helper function to generate positions on 2D board
g←(15∘-,⊢)(|15 0-⌽)¨,⊢  ⍝ Take a vector of coordinates on the right side
,⊢  ⍝ Prepend to self...
(|15 0-⌽)¨    ⍝   abs((15-y,x)); 90 degrees counterclockwise
(15∘-,⊢)              ⍝ Take the above and prepend 180 degrees rotation

⍝ Main result
(~2|⍳31)\'H'@(g⊂2 9)⊢'S'@(g⊂4 14)⊢s@((4⌽g 15,⍨¨⍳15),g 2,¨14-⍳5)⊢16 16⍴''
16 16⍴''  ⍝ Empty 16×16 board
s@((4⌽g 15,⍨¨⍳15),g 2,¨14-⍳5)  ⍝ Place the 80 chars around the board
(4⌽g 15,⍨¨⍳15)              ⍝   First 60 positions on the boundaries
,g 2,¨14-⍳5   ⍝   and the other 20 positions inside
'S'@(g⊂4 14)  ⍝ Place S's
'H'@(g⊂2 9)  ⍝ Place H's
(~2|⍳31)\  ⍝ Insert blank columns


## Python 2, 476 bytes

Short 3-line solution (Try it online)

s=map(list,''.join(b if b in'#^v<>-|oSH~'else' '*int(b,16)for b in "#>--o####>---o##~#1#1SAv~o1#6H#####|~|1#C|~|1#BSo~|1#C#~^1HC#~#E#~#E#~#CH1v~#C#1|~oSB#1|~|C#1|~|#####H6#1o~^AS1#1#~##o---<####o--<#").split('~'))
for i in input():x,y=(lambda n:([11-n,15]*12+[0,26-n]*14+[n-26,0]*16+[15,n-41]*14+[71-n,15]*4+[13,n-50]*5+[70-n,13]*5+[2,75-n]*5+[n-65,2]*5)[2*n:2*n+2])((lambda n:4if n in[5,20,35,50]else 3if n in[12,27,42,57]else 0)(i)+i);s[y][x]='*'
for r in s:print' '.join(r)


One-liner in 534 (Try it online):

for r in(lambda B,I:[[[i,j]in map(lambda n:([11-n,15]*12+[0,26-n]*14+[n-26,0]*16+[15,n-41]*14+[71-n,15]*4+[13,n-50]*5+[n-64,13]*5+[2,75-n]*5+[n-65,2]*5)[2*n:2*n+2],map(lambda n:n+4if n in[5,20,35,50]else n+3if n in[12,27,42,57]else n,I))and'*'or b for i,b in enumerate(a)]for j,a in enumerate(B)])(map(list,''.join(b if b in'#^v<>-|oSH~'else' '*int(b,16)for b in"#>--o####>---o##~#1#1SAv~o1#6H#####|~|1#C|~|1#BSo~|1#C#~^1HC#~#E#~#E#~#CH1v~#C#1|~oSB#1|~|C#1|~|#####H6#1o~^AS1#1#~##o---<####o--<#").split('~')),input()):print' '.join(r)


I assume indices of safe zone this way:

#  >  -  -  o  #  #  #  #  >  -  -  -  o  #  #
#     74    S                                v
o     73                   H 75 76 77 78 79  |
|     72                                     |
|     71                                  S  o
|     70                                     #
^     H                                      #
#                                            #
#                                            #
#                                      H     v
#                                      60    |
o  S                                   61    |
|                                      62    |
|  69 68 67 66 65 H                    63    o
^                                S     64    #
#  #  o  -  -  -  <  #  #  #  #  o  -  -  <  #


Explanation (lines are separated a bit for better understanding):

# Hardcode board. Spaces are changed to their number in hex (as there are up to 14 spaces in row)
# Unfortunatly v^<> characters made board non-symmetrical and replacing chars costs too much in python, so I had to hardcode it all
B="#>--o####>---o##~#1#1SAv~o1#6H#####|~|1#C|~|1#BSo~|1#C#~^1HC#~#E#~#E#~#CH1v~#C#1|~oSB#1|~|C#1|~|#####H6#1o~^AS1#1#~##o---<####o--<#"

# Encode board to list of lists of characters
s=map(list,''.join(b if b in'#^v<>-|oSH~'else' '*int(b,16)for b in B).split('~'))

# Map coordinates, based on n (awfully long)
# Creates long list (lenght of 80) with values based on n and only one valid, which occures under index n
l=lambda n:([11-n,15]*12+[0,26-n]*14+[n-26,0]*16+[15,n-41]*14+[71-n,15]*4+[13,n-50]*5+[70-n,13]*5+[2,75-n]*5+[n-65,2]*5)[2*n:2*n+2]

# Returns additional move of n if it appers to be on slide start
j=lambda n:4if n in[5,20,35,50]else 3if n in[12,27,42,57]else 0

# Here takes input as list of numbers, get coordinates for them and update board with *
for i in input():x,y=l(j(i)+i);s[y][x]='*'

# Print board, spacing characters with one whitespace
for r in s:print' '.join(r)


# 05AB1E, 169 bytes

11Ý₅+R14L17*R15Ý¤DL17*+¤3Lα4Ý©17*DƵ—αs19+®Ƶ_+s®48α)˜•1ŠΓ;Ü|má•Ƶªв•5–à†@1δ!•Ƶ§в‡Iè'*•3‡Ù¬¨èˆ‚1æ°þBÚ•" #
0o1HS"ÅвJ.BD€SøíJ‚øJ»∊2ä¶¡í»«8Å120Å0«">>v^v^<<"„-|S5×Jº«S.;rǝS¶¡»


Explanation:

We start by creating a list of all possible coordinates of the * on the finished board.
The list we want to create for the 0-based indices is:

[266,265,264,263,262,257,260,259,258,257,256,255,187,221,204,187,170,153,136,119,34,85,68,51,34,17,0,4,2,3,4,5,6,7,8,13,10,11,12,13,14,15,83,49,66,83,100,117,236,151,168,185,202,219,236,253,270,266,268,267,251,234,217,200,183,222,223,224,225,226,19,36,53,70,87,48,47,46,45,44]


The duplicated coordinates are for the positions that are on the start of a slider, which end up at the end of the slider.

Using a straight-forward compressed list would be 86 bytes:

•€l:å–£²voùäÉÿ¢º(ºT≠εÁ~нΣûÑ‚Ćδ·нäVø<:‘.IWÚC¯ht;t∍W₂zþ#6÷(›ǝé\$)‚ιô.!=É/g=Ë₁Ìjh:½~₃Y•Ƶ«в


But instead, we create the list manually in 79 bytes:

11Ý           # Push a list in the range [0,11]
₅+         # Add 255 to each
R        # And reverse it
14L           # Push a list in the range [1,14]
17*        # Multiply each by 17
R       # And reverse it
15Ý           # Push a list in the range [0,15]
¤             # Push its last value (15) (without popping the list itself)
D            # Duplicate it
L           # Create a list in the range [1,15]
17*        # Multiply each by 17
+       # And add the 15 to each
¤             # Push its last value (270) without popping the list itself)
3L           # Push a list in the range [1,3]
α          # Take the absolute difference of each value with 270
4Ý            # Push a list in the range [0,4]
©           # Store it in variable ® (without popping)
17*        # Multiply each by 17
D       # Duplicate this list
Ƶ—     # Push compressed integer 251
α    # And take the absolute difference of each value with this 251
s             # Swap so the duplicated list of [0,4] * 17 is at the top again
19+          # Add 19 to each
®             # Push the list in the range [0,4] again from variable ®
Ƶ_           # Push compressed integer 222
+          # Add it to each
s             # Swap the two lists at the top of the stack
®             # Push the list in the range [0,4] once again from variable ®
48α          # Take the absolute difference of each value with 48
)             # Now wrap all lists on the stack into a list
˜            # And flatten it to a single list

# And finally adjust this list with the slider positions:
•1ŠΓ;Ü|má•    # Push compressed integer 108136777658162939
Ƶª  # Push compressed integer 270
в # Convert the larger integer to base-270 as list:
#  [1,9,32,102,134,238,261,269]
•5–à†@1δ!•    # Push compressed integer 391758411553146080
Ƶ§  # Push compressed integer 267
в # Convert the larger integer to base-267 as list
#  [4,13,83,34,236,187,257,266]
‡             # Transliterate; replace all values of the first list with the values of
# the second list in the big list we created earlier


Now that we have this list of coordinates for the *, we use the input to get the positions:

I             # Push the input-list
è            # Index it into the list we created
'*           '# Push a "*" (which we will use later on)


Now we are going to create the empty board (without the space columns for now). We do this as follows:

•3‡Ù¬¨èˆ‚1æ°þBÚ•
# Push compressed integer 68098022849564198525854900638097
" #\n0o1HS"  # Push this string
Åв          # Convert the large integer to base-" #\n0o1HS", which means it's converted
# to base-length, and then indexed into the string
J         # And join the entire list of characters to a string


We now have a quarter of the board as template (without trailing spaces):

#100o###
# # S
o #
0 #
0 #
0 #
1 H
#


Which we'll use to create the entire board:

.B            # Box it. This will split on newlines, but also make all lines of equal
# length by adding trailing spaces
D           # Duplicate this list of lines
€S            # Convert each line to a list of characters
ø           # Zip/transpose; swapping rows/columns
í          # Reverse each row
# (øí basically rotates a character-matrix once clockwise)
J         # Join each inner list together to a string
‚             # Pair it with the list of strings we duplicated
ø            # Zip/transpose; swapping rows/columns
J           # Join the pair of lines together
»          # And join the lines by newlines


We now have halve the board:

#100o####1000o##
# # S          1
o #      H#####0
0 #            0
0 #           So
0 #            #
1 H            #
#              #


And we'll continue:

∊             # Mirror vertically
2ä           # Split it into two halves
# Pop and push both halves separated to the stack
¶¡            # Split the top list on newlines again
í           # Reverse each row
»          # Join it by newlines
«             # And then merge it back to the first halve

# And now we'll fix the arrows and lines:
8Å1           # Push a list of 8 1s
20Å0       # Push a list of 20 0s
«      # Merge those two together
">>v^v^<<"    # Push this string
„-|           # Push string "-|"
S          # Convert it to a pair of characters: ["-","|"]
5×        # Repeat each 5 times: ["-----","|||||"]
J       # Join it together to a string "-----|||||"
º      # Mirror it horizontally: "-----||||||||||-----"
«     # Append it to the arrows-string
S   # Convert it to a list of characters
.;            # Replace each of the 1s/0s one-by-one with these characters in the board


So we end up with our completed empty board (without space columns):

#>--o####>---o##
# # S          v
o #      H#####|
| #            |
| #           So
| #            #
^ H            #
#              #
#              #
#            H v
#            # |
oS           # |
|            # |
|#####H      # o
^          S # #
##o---<####o--<#


Then we'll place the "*" we pushed earlier at the positions we calculated earlier:

r             # Reverse the values on the stack
ǝ            # Insert the "*" at the position of the list in the board-string


And finally we fix the space-columns, and output the result:

S             # Convert the entire board to a list of characters
¶¡           # Split it on newlines
»          # Join each inner list by spaces, and then each line by newlines
# (after which the result is output implicitly)