Welcome to the cupcake constellation control. The display lights are controlled by pulses that may move more than one dial. Your team has the original records on the table. First recover five pieces of information, then use the final plan to configure the constellation display. Keep every result beside its badge so another teammate can check your reasoning.
In an unordered pair, a word cannot be assigned by its left/right position. Use the overlap with another pair.
Hint 3
Give each signal a different word, check every training example and only then decode the received message in its printed order.
Reveal host answer
REST-OPEN
A consistent one-to-one mapping satisfies every training example. Use the complete mapping to read the two-signal message in order. Result: REST-OPEN.
2. Kit
Hint 1
Read each supply card and the three required needs.
Hint 2
A light card alone may leave a need uncovered; a shared supply counts for both needs.
Hint 3
Compare complete combinations, adding each chosen card weight once. Reject any combination over the limit before choosing the lightest.
Reveal host answer
E
Compare coverage before weight. Only complete kits qualify; minimize their combined weight and report the selected cards in alphabetical order. Result: E.
3. Stock
Hint 1
Find opening stock, closing stock and the DONE or CANCELLED marks.
Hint 2
Only completed entries change stock. A cancelled plan cannot be added or subtracted.
Hint 3
Apply every known completed change to opening stock. Compare that result with closing stock to recover the missing completed return.
Reveal host answer
9
Known stock: 8 + 2 - 3 = 7. Closing stock 16 minus 7 gives the missing return 9. Cancelled +7 never arrived. Result: 9.
4. Orbit
Hint 1
Find the column letters and row numbers on the grid.
Hint 2
A coordinate gives column first and row second; keep the printed coordinate order.
Hint 3
Read the full word before using the conversion table. If the word is missing, recheck each row and column rather than choosing a similar word.
Find the equal parcels and the separate loose units.
Hint 2
Remove the loose units before sharing the remaining weight among equal parcels.
Hint 3
Find one parcel from the first equation, then substitute that weight into the second equation before recording it.
Reveal host answer
6
Remove 1 from 25; share 24 among 4 parcels to get 6. Check 2 x 6 + 3 = 15. Result: 6.
6. Final
Needs: Signal, Kit, Stock, Orbit, Tray
Hint 1
Find the starting states, dial order and pulse-card key.
Hint 2
Each selected vector lists turns for every dial. Several different cards can affect the same dial.
Hint 3
Add one dial column at a time to its starting state, wrap around the three-state loop, then check that all five pulse cards were used.
Reveal host answer
A0-B2-C1-D0-E0
Select one pulse card for each of the five badge results. Add the turns by dial column to the printed starting states and wrap each total around 0, 1, 2. The checked configuration is A0-B2-C1-D0-E0; each pulse pair has equal size and total turns, so its shape does not identify the correct choice.
Suggested timeline
3 minutes: Read the opening. Show the evidence record and choose starting roles.
5 minutes: Solve Signal. Offer one hint at a time and rotate roles after checking.
5 minutes: Solve Kit. Offer one hint at a time and rotate roles after checking.
5 minutes: Solve Stock. Offer one hint at a time and rotate roles after checking.
5 minutes: Solve Orbit. Offer one hint at a time and rotate roles after checking.
5 minutes: Solve Tray. Offer one hint at a time and rotate roles after checking.
7 minutes: Build the checked five-dial configuration using all five results.
3 minutes: Read the ending. Ask each teammate to explain one rejected alternative.
Pause whenever the group needs a break. This is a planning estimate.