# monthconcatenation

The goal is to output the number of the months given as input in a compact concatenated form which is still parsable if one knows the construction rules:

If either:

• January is followed by January, February, November or December; or
• November is followed by January or February

There must be a separator placed between.
Otherwise there should be no separator.

As such the output may be parsed. For example:

• March, April and September -> 349
• January, January and February -> 1-1-2
• January, January and December -> 1-1-12
• January, November and February -> 1-11-2
• November, January and February -> 11-1-2
• November and December -> 1112

Thus any run of ones is either a run of Novembers, a run of Novembers followed by a December, a run of Novembers followed by an October, or a January followed by an October. This may be parsed by looking to the right of such runs as the resulting string is read from left to right.

# Input

A list of months numbers ([1-12]) in any format you want (list, JSON, separated by one or more characters, entered one by one by user, …).

the same month can be present more than once.

# Output

The compact concatenated form described above. If a separator is needed, you can freely choose one.

Output examples for January, February and March (1-2-3):

• 1-23 (chosen for the test cases below)
• 1 23
• 1/23
• 1,23
• ...

# Test cases

[1]       => 1
[1, 2]    => 1-2
[2, 1]    => 21
[12]      => 12
[1, 11]   => 1-11
[11, 1]   => 11-1
[1, 1, 1] => 1-1-1
[2, 11]   => 211
[11, 2]   => 11-2
[1, 2, 3] => 1-23
[11, 11]  => 1111
[1,1,11,1,12,1,11,11,12]     => 1-1-11-1-121-111112
[10,11,12,11,11,10,1,10,1,1] => 1011121111101101-1
[2,12,12,2,1,12,12,1,1,2,12,12,2,11,2,12,1] => 2121221-12121-1-21212211-2121


# Rules

• 1111 is extra-ambiguous. Do you mean 1-1-1-1, 1-1-11, 1-11-1, 11-1-1 or 11-11? Oct 27, 2016 at 7:38
• I see what you mean, I added a test case. If there are so many 1's, it's hard to know at first, so 1111 should be 11-11 if you mean Nov-Nov. That has been shown in the test case 11-2 (not 112) and added as an extra test case. Oct 27, 2016 at 7:46
• This would be so much easier in base 12... Oct 27, 2016 at 15:28

# Python 2.7 96 bytes

## Try it out here!

### golfed:

b,o=input(),""
for a,n in zip(b,b[1:]):o+=a+"-"*(a%10==1and a+n in(2,3,12,13))
print o+b[-1]


### Explanation:

runs through the input, checks if the current item is a special case and if so handles it, otherwise just concatenates the input, prints the output string.

### ungolfed:

input = [2,12,12,2,1,12,12,1,1,2,12,12,2,11,2,12,1]
output = ""
for i in range(len(input) - 1):
next = input[i + 1]
item = input[i]
if item == 1 and (next == 1 or next == 2 or next == 11 or next == 12) or item == 11 and (next == 1 or next == 2):
output += str(item) + "-"
else:
output += str(item)

output += str(input[-1])

print output

• You need to take input.b,o=input(),"" should do it. Oct 28, 2016 at 15:15
• You can use backticks in place of str(). You can use a zip to construct a,n. The if statement can be used to multiply the "-" (reducing the for to a one liner. The if can be replaced with if a%10==1and a+n in(2,3,12,13). This gets you all the way down to 96 bytes. Oct 28, 2016 at 15:25
• weren't backticks deprecated or not supported after python 2.6 or something like that? Oct 28, 2016 at 16:09
• They were deprecated at 3.0 by PEP 3113, the ideone link I gave is using 2.7.10. Oct 28, 2016 at 16:24
• thanks, I was thrown off by the IDE marking it as invalid, runs just fine. what did you mean by using the zip construct? what to create? Oct 28, 2016 at 16:28

# Jelly, 20 bytes

%⁵=1a+e“£¤€Æ‘⁶ẋ⁸,⁹µ/


### How?

%⁵=1a+e“£¤€Æ‘⁶ẋ⁸,⁹µ/ - Main link: the list
/ - reduce
µ  - monadic chain separation
%⁵                   - left item mod 10
=1                 - equal to 1? (Jan or Nov)
a                - and
+               - left item plus right item
e              - is in
“£¤€Æ‘        - jelly code page index list:  [2,3,12,13]
now True (1) for any of:
[1,1], [1,2], [1,11], [1,12], [11,1], or [11,2]
⁶       - literal space (the separator being used)
ẋ      - repeated that many times
⁸     - left argument
,    - pair
⁹   - right argument