Invitational round | 10 points | 22.69% | Problem statement | Official solution | Tags: MorphologySemantics
It's not hard to see that there are groups of related words, based on both their meanings and their spellings. Then, a clear derivation pattern occurs, which I've annotated next to them:
| Word 1 | Pattern | Word 2 | Pattern |
|---|---|---|---|
| hakuãt to hang (something) up | V[tran] 'To make hanged' | hinkuãt a hook (e.g. on a wall) | N 'Instrument for making hanged' |
| rac hot | Adj | harac to heat (something) | V[tran] 'To make hot' |
| ta level, flat | Adj | hata to level (something) out | V[tran] 'To make level' |
| haʔɛh̃ to approach (something) | V[tran] | humʔɛh̃ to cause (something) to approach | V[tran] 'To make approach' |
| pahuaʔ to fear, be scared | V | pumhuaʔa a scared person | N 'Something that is scared' |
| rɯk to arrive | V[tran] | ranɯk a vehicle | N 'Instrument for arriving' |
| sahuaŋ cool | Adj | sinhuaŋ (some) ice; sumhuaŋ to cool (something) down | N 'Instrument for cooling'; V[tran] 'To make cool' |
| tinkoʔ a prodding stick; | N 'Instrument for prodding' | tikoʔa something that is prodded | N 'Something that is prodded' |
| tiyəh new | Adj | tumyəh to renew (something) | V[tran] 'To make new' |
| ʔittət to wipe (something) | V[tran] | ʔinttət a wipe | N 'Instrument for wiping' |
So there are the following categories:
Reordering the table above, and only highlighting the parts of each word that differs between categories:
| Pred | V[cause] | N[inst] | N[obj] |
|---|---|---|---|
| hakuãt | hinkuãt | ||
| rac | harac | ||
| rɯk | ranɯk | ||
| ta | hata | ||
| haʔɛh̃ | humʔɛh̃ | ||
| pahuaʔ | pumhuaʔa | ||
| sahuaŋ | sumhuaŋ | sinhuaŋ | |
| tinkoʔ | tikoʔa | ||
| tiyəh | tumyəh | ||
| ʔittət | ʔinttət |
There are two groups of patterns:
When there are two derivations possible, the first one is used for single-syllable roots, and the second one is used for multi-syllable roots.
Therefore:
(a) fue = fanue string - -an- [inst] = to tie (something)
(b) fuea = fue to tie (something) + -a [obj] = something that is tied
(c) hapin = ha- [cause] + pin thick = to thicken (something)
(d) kuãt = hakuãt to hang (something) up - ha- [cause] = hanging
(e) harɯk = ha- [cause] + rɯk to arrive = to cause (something) to arrive
(f) a beverage = top to drink (something) + -a [obj] = topa
(g) a cup = top to drink (something) + -an- [inst] = tanop
(h) to float (something) = ha- [cause] + teh to float = hateh
(i) to fly = haneh airplane - -an- [inst] = heh
(j) a knife = kuah to shave + -an- [inst] = kanuah
(k) to make (something) prod = tikoʔa something that is prodded - -a [obj] + -um- [cause] = tumkoʔ
(l) near = haʔɛh̃ to approach (something) - ha- [cause] = ʔɛh̃ (yes, so humʔɛh̃ is a double causative—gasps)
(m) to saw (e.g. wood) = kintal a saw - -in- [inst] = kXtal (don't know what the original vowel is)
(n) something loose = paloʔ loose + -um- [cause] + -a [obj] = pumloʔa
(o) a throat = calɯak to swallow + -in- [inst] = cinlɯak
(p) a trap = kasɯ to trap + -in- [inst] = kinsɯ
(q) to turn (something) over = saput to turn (oneself) over + -um- [cause] = sumput
In N2, the four words don't have their roots given to us, but we can still identify the morphology:
to feel empty (in the heart) is a predicate; a file (tool) is an instrument; to make (something) tiny is a causative; something that is made to fit is a recipient. Therefore the matching is 1 = A, 2 = C, 3 = D, 4 = B.