Make me an alphabet tree

Question

Intro

In most fonts all of the uppercase alphabet characters besides BDO have single lines approximately touching some of the four corners of the character's bounding rectangle: ACEFGHIJKLMNPQRSTUVWXYZ.

For example, the two legs of an A "touch" the bottom left and bottom right corners of the character. Likewise, C touches its top and bottom right corners (it is a bit curved but it's close enough). L only touches it's top left and bottom right corners with single lines. The bottom left corner of L is a vertex, not the end of a single line.

Here is a table of what characters touch which corners according to the Stack Exchange font I (and hopefully you) see. 1 is for upper left, 2 is for upper right, 3 lower left, 4 lower right.

A: 3 4
C: 2 4
E: 2 4
F: 2 3
G: 2
H: 1 2 3 4
I: 1 2 3 4
J: 1 3
K: 1 2 3 4
L: 1 4
M: 3 4
N: 2 3
P: 3
Q: 4
R: 3 4
S: 2 3
T: 1 2
U: 1 2
V: 1 2
W: 1 2
X: 1 2 3 4
Y: 1 2
Z: 1 4

Setup

Pretend like these corner touching lines extend in the direction of the corner that they touch so that arrangements of these characters on a grid can be "connected".

For example, all the characters in

 A
C X

are connected because the bottom left of A and top right of C connect, and the bottom right of A and top left of X connect.

However,

CAX

has no connections because connections only occur diagonally from one character to the next.

Challenge

Write the shortest program possible (in bytes) that outputs all of the characters in ACEFGHIJKLMNPQRSTUVWXYZ in one big fully connected tree, according to the rules above. Each character must appear exactly once. Use spaces for empty space.

Example

Everything in this 23-letter tree can be reached from anything else via the diagonal connections defined above:

  Q
 A J   R
C U   S Y
 I M N
E H X
 F L T
G   Z K P
     V W

Notes

• You may hardcode your solution.
• Your output should only contain ACEFGHIJKLMNPQRSTUVWXYZ, spaces, and newlines. BDO will not be used.
• Leading/trailing spaces are fine as long as all the connections are properly positioned.
• The output grid should not be larger than 30 by 30 characters (including newlines and spaces).
• Only corner connections are considered. The bottom of Y does not connect to anything. You must use the corner connections from the table above.
• Not all connectable corners need to connect to something. Connectable and non-connectable corners may border each other.
• Output to stdout. There is no input.
• Including a connectivity graph made with slashes as Peter Taylor has done is a helpful touch but not required.

Update:
githubhagocyte has made an alphabet tree validity checker over on Github.

Answer 1

Python, 49

print' '.join('  MQRCNAF\n XZHLKSIP\n\0GJWVUYET')

Example:

>>> print' '.join('  MQRCNAF\n XZHLKSIP\n\0GJWVUYET')
    M Q R C N A F 
   X Z H L K S I P 
  G J W V U Y E T

I think it connects up properly now, but I may have missed something again.

Answer 2

GolfScript (41 chars)

'QZENRPMALHIFKSXJTUVWYGC'8/{' '*n' '+:n}/

Online demo

Connectivity graph:

Q   Z   E   N   R   P   M   A
 \   \   \ /   / \ /   / \ / \
  L   H   I   F   K   S   X   J
   \ / \ / \ /   / \ /   /   /
    T   U   V   W   Y   G   C

Answer 3

Marbelous 164 158 143

used bmarks' tree since it almost perfectly optimized for Marbelous. Code in this case is just the ascci codes for all characters (including spaces and newlines) from left to right, delimited by spaces.

43 20 46 20 50 20 4D 20 51 20 52 20 45 20 41 14 20 58 20 48 20 4e 20 4C 20 4B 20 5A 20 49 20 53 14 47 20 59 20 56 20 20 20 55 20 4A 20 54 20 57

Output:

 C F P M Q R E A 
  X H N L K Z I S 
 G Y V   U J T W

A better Marbelous approach 135 129

This one outputs the same tree with one extra space before and after each line, it works by feeding the literals into a subroutine that prints a space before printing the literal. And just printing a space if the literal is a space (20 HEX)

57
54
4A
55
20
56
59
47
14
53
49
5A
4B
4C
4E
48
58
20
14
41
45
52
51
4D
50
46
43
Sp
Sp:
20 I0
.. =V

Answer 4

BrainF*ck 669

Made this one for giggles. Outputs the exact same as the example.
Will provide another solution later. Can't think of a clever way to do this in Lua so I'll just stick to this one :)

++++[->++++++++<]>..[-->+++++<]>+.>++++++++++.[->+++<]>++.[->++<]>+.-[-->+<]>.+++++[->++<]>.--[->++++<]>...>-[--->+<]>---.>++++++++++.+[->++++++<]>+.-[-->+<]>-.>-[--->+<]>.[----->++<]>--...>-[--->+<]>--.+[--->+<]>++++.--[->+++<]>-.[->+++<]>-.[->+++<]>++.++++[->++<]>+.-[->++++<]>.++++++[->++<]>+.-----[->++++<]>.[-->+++++<]>--.>++++++++++.[->+++++++<]>-.-[-->+<]>--.++++[->++<]>.[->++++<]>.[++++>---<]>.>++++++++++.[->+++<]>++.+++[->++<]>.[-->+<]>---.++++++[->++<]>.[-->+<]>------.>-[--->+<]>-.>++++++++++.[->+++++++<]>+.+[->++++<]>...--[->+++<]>.[--->+<]>++.--[-->+++++<]>.---[->++++<]>.[-->+++++<]>.>++++++++++.[->+++<]>++.....>+[--->++<]>.+[--->+<]>+++.---[->+++<]>.

Output

  Q
 A J   R
C U   S Y
 I M N
E H X
 F L T
G   Z K P
     V W

Answer 5

PHP 46

This was more like puzzle solving rather than programming, so my answer is more like puzzle solution rather than code. However it's a valid PHP program, so I'm submitting it.

C A Q S R P M J
 X Z I F K N H
G T U V W Y E L

Update the same in Perl. Length still remains 46:

print"CAQSRPMJ
 XZIFKNH
GTUVWYEL"=~s/\S/$& /rg

Answer 6

HTML, 55

code

<pre>C F P M Q R E A
 X H N L K Z I S
G Y V   U J T W

output:

C F P M Q R E A
 X H N L K Z I S
G Y V   U J T W

Answer 7

Bash+coreutils, 46

sed 's/\S/ &/g'<<<"CAQSRPMJ
 XZIFKNH
GTUVWYEL"

Now shamelessly borrowing @core1024 optimal tree:

Output:

$ ./alphatree.sh
 C A Q S R P M J
  X Z I F K N H
 G T U V W Y E L
$

Answer 8

STATA 63

Edit: now my own solution. Should be all the letters.

di 'C F P M Q R E A' di ' X H N L K Z I S' di 'G Y V   U J T W'

 C F P M Q R E A 
  X H N L K Z I S 
 G Y V   U J T W

Answer 9

Pyth, 32

jd"QAPMFRLZ\nUINKSHXJ\n\0GTCVEWY

Output:

Q A P M F R L Z 
 U I N K S H X J 
  G T C V E W Y

Connections, thanks to @githubphagocyte's checker:

Q   A   P   M   F   R   L   Z   
 \ / \ /   / \ /   / \   \   \  
  U   I   N   K   S   H   X   J   
     / \ /   / \ /   / \ / \ /    
    G   T   C   V   E   W   Y 

Combines @grc's null byte trick and Pyth's extremely short syntax. Made my own grid for the hell of it.

Explanation:

j is python's string join. d is space. \0 is the escape sequence for the null byte. It is a NOP when printed, so the third line has exactly two spaces in front. Also, note that strings can be EOL-terminated in Pyth, as well as quote-terminated.

Answer 10

Javascript 83

I'll begin with hardcoding YOUR solution

console.log('  Q\n A J   R\nC U   S Y\n I M N\nE H X\n F L T\nG   Z K P\n     V W')

Answer 11

PHP, 69

<?php echo preg_replace("/(\w)/",'\1 ',"CAQSRPMJ
 XZIFKNH
GTUVWYEL");

gives

C A Q S R P M J 
 X Z I F K N H 
G T U V W Y E L

Answer 12

Vyxal, 28 bytes

«⟑Eƈ↓Z↔⁺τ¾ꜝdB_ḣC«3/ƛṄ¥$꘍&›⇧,

Try it Online!

Yes, I stole @isaacg's grid.

«...«            # Compressed string 'qapmfrlzuinkshxjgtcvewy ' (Note trailing space)
     3/          # Into 3 pieces
       ƛ         # Map...
        Ṅ        # Join by spaces
         ¥$꘍     # Prepend (register) spaces
            &›   # Increment register
              ⇧, # Output as uppercase.