Awkward Ordinals

Write code that takes a positive integer and outputs the awkward ordinal name from the test cases. Notice that these are not the conventional ordinal names.

Input

• A positive integer from the test cases.
• You are not required to support any input not listed in the test cases.

Output

• The corresponding string from the test cases.
• This must be in the exact format shown, including having spaces in and only in the specified places.

Test cases

Test cases are in the format input:output where the input is a positive integer, and the output is made up solely of lower case letters and sometimes spaces.

There are 248 test cases, spread between 1, 2, 3, 4, and 5 digit inputs.

1:first
2:second
3:third
4:fourth
5:fifth
6:sixth
7:seventh
8:eighth
9:ninth
10:tenth
11:eleventh
12:twelfth
13:thirteenth
14:fourteenth
15:fifteenth
16:sixteenth
17:seventeenth
18:eighteenth
19:nineteenth
20:twentieth
21:twenty first
22:twenty second
23:twenty third
24:twenty fourth
25:twenty fifth
26:twenty sixth
27:twenty seventh
28:twenty eighth
29:twenty ninth
30:twenty tenth
31:twenty eleventh
32:twenty twelfth
33:twenty thirteenth
34:twenty fourteenth
35:twenty fifteenth
36:twenty sixteenth
37:twenty seventeenth
38:twenty eighteenth
39:twenty nineteenth
40:fortieth
41:forty first
44:forty fourth
47:forty seventh
50:forty tenth
53:forty thirteenth
56:forty sixteenth
59:forty nineteenth
62:sixty second
65:sixty fifth
68:sixty eighth
71:sixty eleventh
74:sixty fourteenth
77:sixty seventeenth
80:eightieth
83:eighty third
86:eighty sixth
89:eighty ninth
92:eighty twelfth
95:eighty fifteenth
98:eighty eighteenth
105:tenty fifth
112:tenty twelfth
119:tenty nineteenth
126:twelfty sixth
133:twelfty thirteenth
140:fourteentieth
147:fourteenty seventh
154:fourteenty fourteenth
161:sixteenty first
168:sixteenty eighth
175:sixteenty fifteenth
182:eighteenty second
189:eighteenty ninth
196:eighteenty sixteenth
203:twentyty third
210:twentyty tenth
217:twentyty seventeenth
224:twentytwenty fourth
231:twentytwenty eleventh
250:twentyforty tenth
269:twentysixty ninth
288:twentyeighty eighth
307:twentytenty seventh
326:twentytwelfty sixth
345:twentyfourteenty fifth
364:twentysixteenty fourth
383:twentyeighteenty third
402:fortyty second
421:fortytwenty first
440:fortyfortieth
459:fortyforty nineteenth
478:fortysixty eighteenth
497:fortyeighty seventeenth
516:fortytenty sixteenth
535:fortytwelfty fifteenth
554:fortyfourteenty fourteenth
573:fortysixteenty thirteenth
592:fortyeighteenty twelfth
880:eightyeightieth
1283:twelftyeighty third
1400:fourteentytieth
1617:sixteentyty seventeenth
4360:fortytwentysixteentieth
4895:fortyeightyeighty fifteenth
6802:sixtyeightyty second
6837:sixtyeightytwenty seventeenth
7999:sixtyeighteentyeighteenty nineteenth
8320:eightytwentytwelftieth
8944:eightyeightyfourteenty fourth
9274:eightytwelftysixty fourteenth
9353:eightytwelftyfourteenty thirteenth
10008:tentytyty eighth
10045:tentytyforty fifth
10405:tentyfortyty fifth
10731:tentysixtytwelfty eleventh
10740:tentysixtyfourteentieth
11320:tentytwelftytwelftieth
13206:twelftytwelftyty sixth
13240:twelftytwelftyfortieth
13415:twelftyfourteentyty fifteenth
13471:twelftyfourteentysixty eleventh
14616:fourteentysixtyty sixteenth
15348:fourteentytwelftyfourteenty eighth
15560:fourteentyfourteentysixteentieth
16000:sixteentytytieth
17333:sixteentytwelftytwelfty thirteenth
18066:eighteentytysixty sixth
18263:eighteentytwentysixty third
18976:eighteentyeightysixteenty sixteenth
20017:twentytytyty seventeenth
20018:twentytytyty eighteenth
20260:twentytytwentysixtieth
20955:twentytyeightyfourteenty fifteenth
21445:twentytyfourteentyforty fifth
21553:twentytyfourteentyfourteenty thirteenth
21860:twentytyeighteentysixtieth
25188:twentyfortytentyeighteenty eighth
25529:twentyfortyfourteentytwelfty ninth
27360:twentysixtytwelftysixteentieth
27772:twentysixtysixteentysixteenty twelfth
28061:twentyeightytysixty first
28800:twentyeightyeightytieth
29220:twentyeightytwelftytwentieth
29740:twentyeightysixteentyfourteentieth
29950:twentyeightyeighteentyfourteenty tenth
30340:twentytentytwentyfourteentieth
31036:twentytentytentytwenty sixteenth
31600:twentytentysixteentytieth
33680:twentytwelftysixteentyeightieth
33719:twentytwelftysixteentytenty nineteenth
34019:twentyfourteentytyty nineteenth
34341:twentyfourteentytwentyfourteenty first
34526:twentyfourteentyfortytwelfty sixth
34713:twentyfourteentysixtytenty thirteenth
34715:twentyfourteentysixtytenty fifteenth
36650:twentysixteentysixtyforty tenth
37381:twentysixteentytwelftyeighteenty first
37780:twentysixteentysixteentyeighteentieth
38299:twentyeighteentytwentyeighty nineteenth
38982:twentyeighteentyeightyeighteenty second
40000:fortytytytieth
40907:fortytyeightytenty seventh
41849:fortytyeighteentyforty ninth
42000:fortytwentytytieth
42527:fortytwentyfortytwelfty seventh
43356:fortytwentytwelftyfourteenty sixteenth
43382:fortytwentytwelftyeighteenty second
44003:fortyfortytyty third
45187:fortyfortytentyeighteenty seventh
45208:fortyfortytwelftyty eighth
46220:fortysixtytwentytwentieth
46827:fortysixtyeightytwenty seventh
47436:fortysixtyfourteentytwenty sixteenth
47744:fortysixtysixteentyfourteenty fourth
47800:fortysixtyeighteentytieth
48198:fortyeightytyeighteenty eighteenth
52100:fortytwelftytytentieth
54000:fortyfourteentytytieth
57340:fortysixteentytwelftyfourteentieth
58010:fortyeighteentytyty tenth
58705:fortyeighteentysixtytenty fifth
59400:fortyeighteentyfourteentytieth
59713:fortyeighteentysixteentytenty thirteenth
60000:sixtytytytieth
60019:sixtytytyty nineteenth
60189:sixtytytyeighteenty ninth
60941:sixtytyeightyfourteenty first
62220:sixtytwentytwentytwentieth
62314:sixtytwentytwentytenty fourteenth
62754:sixtytwentysixtyfourteenty fourteenth
63540:sixtytwentyfourteentyfourteentieth
63965:sixtytwentyeighteentysixteenty fifth
64040:sixtyfortytyfortieth
64943:sixtyfortyeightyfourteenty third
65063:sixtyfortytentysixty third
65064:sixtyfortytentysixty fourth
65661:sixtyfortysixteentysixty first
65700:sixtyfortysixteentytentieth
65809:sixtyfortyeighteentyty ninth
65972:sixtyfortyeighteentysixteenty twelfth
66000:sixtysixtytytieth
69219:sixtyeightytwelftyty nineteenth
69589:sixtyeightyfourteentyeighteenty ninth
69627:sixtyeightysixteentytwenty seventh
70172:sixtytentytysixteenty twelfth
71569:sixtytentyfourteentysixteenty ninth
71600:sixtytentysixteentytieth
71920:sixtytentyeighteentytwelftieth
72171:sixtytwelftytysixteenty eleventh
72180:sixtytwelftytyeighteentieth
73584:sixtytwelftyfourteentyeighteenty fourth
74298:sixtyfourteentytwentyeighty eighteenth
74790:sixtyfourteentysixtyeighteenty tenth
75930:sixtyfourteentyeighteentytwelfty tenth
78000:sixtyeighteentytytieth
78007:sixtyeighteentytyty seventh
79240:sixtyeighteentytwelftyfortieth
79877:sixtyeighteentyeighteentysixty seventeenth
80000:eightytytytieth
83458:eightytwentyfourteentyforty eighteenth
83900:eightytwentyeighteentytentieth
84672:eightyfortysixtysixty twelfth
85892:eightyfortyeighteentyeighty twelfth
85991:eightyfortyeighteentyeighteenty eleventh
86140:eightysixtytyfourteentieth
87608:eightysixtysixteentyty eighth
87861:eightysixtyeighteentysixty first
87954:eightysixtyeighteentyfourteenty fourteenth
88000:eightyeightytytieth
88329:eightyeightytwentytwelfty ninth
88484:eightyeightyfortyeighty fourth
88552:eightyeightyfortyfourteenty twelfth
88860:eightyeightyeightysixtieth
90180:eightytentytyeighteentieth
90935:eightytentyeightytwelfty fifteenth
92555:eightytwelftyfortyfourteenty fifteenth
93174:eightytwelftytentysixteenty fourteenth
93371:eightytwelftytwelftysixteenty eleventh
93610:eightytwelftysixteentyty tenth
93642:eightytwelftysixteentyforty second
94023:eightyfourteentytytwenty third
94175:eightyfourteentytysixteenty fifteenth
94576:eightyfourteentyfortysixteenty sixteenth
94981:eightyfourteentyeightyeighteenty first
95797:eightyfourteentysixteentyeighteenty seventeenth
96134:eightysixteentytytwelfty fourteenth
96826:eightysixteentyeightytwenty sixth
97280:eightysixteentytwelftyeightieth

Conversion

To convert a number to its awkward ordinal, split the number into a multiple of 20 and a remainder less than 20.

• If the multiple of 20 is zero, the remainder becomes a conventional ordinal.
• If the remainder is zero, the multiple of 20 becomes an awkward ordinal, which is the awkward cardinal ten times less stripped of spaces and followed by "tieth".
• Otherwise, the multiple of 20 becomes an awkward cardinal followed by a space then the remainder as a conventional ordinal.

To convert a number to its awkward cardinal, split the number into a multiple of 20 and a remainder less than 20.

• If the multiple of 20 is zero, the remainder becomes a conventional cardinal.
• If the remainder is zero, the multiple of 20 becomes an awkward cardinal, which is the awkward cardinal 10 times less stripped of spaces and followed by "ty".
• Otherwise, the multiple of 20 becomes an awkward cardinal followed by a space then the remainder as a conventional cardinal.

Example code

Assuming you already had functions for the conventional ordinals and cardinals less than 20, and a spaceless function that returns its input with all spaces removed, the following Python code would give the results as described above (note that this is for ease of explanation - you cannot assume existence of non-existent functions in your answer):

def awkward_ordinal(n):
  if n<20:
    return conventional_ordinal(n)
  if n%20==0:
    return spaceless(awkward_cardinal(n/10))+"tieth"
  return awkward_cardinal(n-n%20)+" "+conventional_ordinal(n%20)

def awkward_cardinal(n):
  if n<20:
    return conventional_cardinal(n)
  if n%20==0:
    return spaceless(awkward_cardinal(n/10))+"ty"
  return awkward_cardinal(n-n%20)+" "+conventional_cardinal(n%20)

So 40 becomes the ordinal fortieth but 46 becomes the cardinal forty plus the ordinal sixth to give forty sixth.

Notice that the algorithm as described would give fourtieth rather than fortieth and fourty sixth rather than forty sixth. Passing the test cases will require being aware of such exceptions to the general rule. These are described below.

Cardinals and ordinals 1 to 19

The numbers up to 19 become cardinals and ordinals in the conventional way, giving cardinals one to nineteen and ordinals first to nineteenth (with the conventional exceptions of first, second, third, fifth, eighth, ninth, twelfth, fifteenth, and eighteenth instead of oneth, twoth, threeth, fiveth, eightth, nineth, twelveth, fiveteenth, and eightteenth).

Larger cardinals

A number that is a multiple of 20 becomes a cardinal by dividing it by 10 and then adding "ty" to the cardinal form of that result, omitting any spaces, with the following exceptions:

Larger ordinals

A number that is a multiple of 20 becomes an ordinal by dividing it by 10 and then adding "tieth" to the cardinal form of that result, omitting any spaces, with the following exceptions:

Conversion examples

No exceptions

• 66 = 60 + 6 = 6*10 + 6
• Ordinal is (6)ty (6)th giving sixty sixth.

Exceptions

• 48 = 40 + 8 = 4*10 + 8
• Ordinal would be (4)ty (8)th giving fourty eightth but exceptions make it forty eighth instead.

Remainder mod 20 larger than 10

• 74 = 60 + 14 = 6*10 + 14
• Ordinal is (6)ty (14)th giving sixty fourteenth.

No remainder mod 20

• 60 = 60 + 0 = 6*10 + 0
• Ordinal is (6)tieth giving sixtieth.

Splitting twice

• 474 = 460 + 14 = 46*10 + 14
• Ordinal is (46)ty (14)th but first 46 needs to be split (because it is more than 19).
  • 46 = 40 + 6 = 4*10 + 6
  • Cardinal would be (4)ty 6 giving fourty six but exceptions make it forty six instead. Spaces will be omitted before combining with ty.
• Ordinal is (fortysix)ty (14)th giving fortysixty fourteenth.

Splitting four times

• 37381 = 37380 + 1 = 3738*10 + 1
• Ordinal is (3738)ty (1)th but first 3738 needs to be split.
  • 3738 = 3720 + 18 = 372*10 + 18
  • Cardinal is (372)ty 18 but first 372 needs to be split.
    • 372 = 360 + 12 = 36*10 + 12
    • Cardinal is (36)ty 12 but first 36 needs to be split.
      • 36 = 20 + 16 = 2*10 + 16
      • Cardinal is (2)ty 16 giving twoty sixteen but exceptions make it twenty sixteen.
    • Cardinal is (twentysixteen)ty 12 giving twentysixteenty twelve.
  • Cardinal is (twentysixteentytwelve)ty 18 giving twentysixteentytwelvety eighteen but exceptions make it twentysixteentytwelfty eighteen.
• Ordinal is (twentysixteentytwelftyeighteen)ty (1)th giving twentysixteentytwelftyeighteenty oneth but exceptions make it twentysixteentytwelftyeighteenty first.

Scoring

This is a code golf challenge. Your score is the number of bytes in your code.

Explanations are optional, but I'm more likely to upvote answers that have one.

posted about 1 month ago

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22d ago

trichoplax‭

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