Puzzle 4: Supply Run

Puzzle Walkthrough

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The contestant who carried the Rope returned immediately before Jane. So the Rope carrier is exactly one position ahead of Jane, which means Jane cannot be first and the Rope carrier cannot be fourth.

Natasha returned before Omar, and both of them returned after Jane. This fixes the relative order among those three as Jane first, then Natasha, then Omar.

The Firewood was returned last. So fourth place is Firewood.

Jane carried the Food Basket. With Jane already somewhere ahead of Natasha and Omar, we will place her once we resolve who is immediately before her with the Rope.

Zoey did not carry the Water Jugs or the Firewood. Therefore Zoey could only carry the Rope or the Food Basket. But Jane already has the Food Basket, so Zoey must have the Rope.

Since Zoey has the Rope and the Rope carrier returned immediately before Jane, Zoey must return immediately before Jane. The only return orders that fit both this adjacency and the requirement that Natasha and Omar come after Jane are Zoey first and Jane second. That forces Natasha third and Omar fourth to keep Natasha before Omar and both after Jane.

Because the Firewood was returned last, Omar, who is fourth, carried the Firewood. The remaining unassigned item is the Water Jugs, which must belong to Natasha. All constraints are satisfied.

Answers

Zoey returned 1st carrying the Rope.
Jane returned 2nd carrying the Food Basket.
Natasha returned 3rd carrying the Water Jugs.
Omar returned 4th carrying the Firewood.

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