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Worked example · Desert Fund Allocation

A full solve: Desert Fund Allocation

4 categories 5 items each 9 clues

This puzzle adds a ranked category — five priority slots, 1st through 5th — and with it, a real trap. Half its clues use ordered language: "one step after," "two steps after," but also "higher priority than" and "trailed... in priority." The first kind is unambiguous. The second kind is not, and the puzzle never says which way round it goes.

Nine clues, five managers, four categories. Shorter than the previous walkthrough, and worth exactly as much attention for it — a short clue list has less redundancy to fall back on if one deduction goes wrong.

Open Desert Fund Allocation

Phase 1

Anchor the ranked category first

One clue gives a direct fact: Reforestation is 1st priority. Mark it, and everything sharing that mini-grid falls into place around it immediately.

Two offset clues chain together: one region's priority sits one step after Water Harvesting's, and a second region sits one step after that. Read together, that is three initiatives in a row on the priority scale — Water Harvesting, then the first region, then the second, each exactly one slot later than the last.

Offset language like "one step after" is always safe to read literally, regardless of which end of the scale counts as urgent. It just moves a fixed distance along the order. Since Reforestation already owns 1st place, Water Harvesting cannot start the chain there — which leaves only two places on the scale where a three-long chain still fits.

Phase 2

The trap: what does "higher priority" actually mean?

Three clues in this puzzle compare priority directly: one initiative "had higher priority" than a named manager, another "had a lower priority" than a different manager, and a region's initiative "trailed" a manager's "in priority." All three assume the reader already knows which end of the 1st–5th scale counts as more urgent.

Ordinary English suggests 1st is the most urgent — but ordinary English is not a clue, and this puzzle never actually commits to that reading anywhere else. Guessing wrong here does not fail loudly. It produces a board that looks plausible for several more moves before it locks up in a contradiction that is genuinely hard to trace back to its source.

The reliable way through is not to guess and hope: mark one confident direct fact — a true clue, or the first link of an offset chain — and use the site's own check-solution feedback the moment a comparative clue forces a real choice. One wrong branch costs you a few marks and an undo. A wrong assumption carried silently through nine clues costs you the whole solve.

For this puzzle, the direction that actually holds is the less intuitive one: a larger priority number is the "higher" one. Nothing about the wording forces that reading in isolation — only the full clue set, checked against itself, confirms it.

Phase 3

Use a paired swap to force the direction home

One clue splits two things — the 5th-priority slot and the Water Harvesting initiative — between two fillers: a named manager, and a named region. One filler goes with one slot, the other filler goes with the other, but not which way round.

A second clue fixes how far after a named region a particular manager's priority falls, which pins that region to one of only two remaining slots once the earlier chain and the 1st-priority fact are accounted for. Testing the closer of those two slots against the paired-swap clue collapses it immediately — neither of that clue's two branches can be made to fit. The far slot is the only one left standing.

That single elimination does double duty. It fixes the region's slot outright, and it forces open exactly which of the two remaining spots on the earlier three-link chain is real — because now only one of them still leaves room for that region's own value to land legally. The chain resolves, and the paired-swap clue itself resolves a moment later: only one of its two branches is still consistent with a board that specific.

Phase 4

Clear the rest with elimination and one last check

With the priority scale fully pinned, the remaining comparative clues stop being ambiguous — each one now has real values to compare rather than an abstract direction to guess at. One clue forces the last open initiative into place by needing a slot above the one just fixed. Another does the same for a manager, needing a slot beyond one already taken.

A short list clue rules a specific initiative out of the one open slot it could otherwise have claimed, leaving no ambiguity in the initiatives at all. Managers and regions follow the same way, each one landing in the single slot nothing else has yet ruled out.

The finished board is the real proof the earlier direction call was right. If "higher priority" had meant the other end of the scale, the last few cells would not have had exactly one legal candidate each — they would have had none, or two. They had exactly one, every time.

The finished solution

SubjectInitiativeRegionPriority
ErikReforestationSahel Zone1st
JordanWater HarvestingAmerican Southwest2nd
AminaWildlife CorridorGobi Fringe3rd
LaylaDrone MonitoringAustralian Outback4th
RajSoil RestorationSahara Outskirts5th

What to take from this one

The technique worth taking from this one has nothing to do with ranked categories specifically. It is this: when a clue's wording could honestly go either way, do not carry the ambiguity forward on faith. Pin it down with a fact you already trust, or test it and watch what happens. A puzzle that stalls two moves after a guess is much harder to debug than one that stalls immediately.

Every other technique here — the offset chain, the paired swap, the final elimination sweep — is exactly what the technique library describes. The ambiguity was the only genuinely new problem this puzzle posed.