Find the missing piece of a sum.
Use remainders and small adjustments to find a target without checking every combination.
When nine numbers are available, there are many possible groups. You can make the search smaller by turning the target into a remainder. Choose a number, subtract it from the target, and ask a simpler question: which tiles can make what is left?
Begin with one useful subtraction
Suppose the target is 17 and the board contains these tiles:
9 4 7 2 8 3 6 1 5
Start with 9. The remainder is 8, and an 8 is visible, so 9 + 8 solves the round in two tiles. You do not have to use three numbers just because the game generates its targets from three starting tiles. Any nonempty selection with the exact total is accepted.
When the remainder is not a single tile
Choose 7 instead. The remainder is 10. No tile has a value of 10, but pairs such as 9 + 1, 8 + 2, and 6 + 4 all make it. Together with the selected 7, each pair produces a valid solution. Keep track of physical tiles: you cannot reuse the same tile twice.
Now choose 8 and 6. Their total is 14, so the remainder is 3. Selecting the 3 finishes the target. Working from a partial selection often makes the next choice obvious.
Repair a total that is too large
Suppose you have selected 9, 7, and 4 for a total of 20. The target is 17, so your group is three too large. Removing a selected 3 would help, but no 3 is currently selected. Instead, replace the selected 7 with the unselected 4 only if there is a second 4 available. On this particular board there is not, because the only 4 is already selected.
A valid adjustment here is replacing the selected 4 with the unselected 1. The new group is 9 + 7 + 1 = 17. This example shows why differences and tile availability need to be checked together.
Equal values are separate resources
On another board, two different tiles may both show 5. You can use both for a total of 10. The restriction is one use per tile, not one use per number value. When comparing a plan to the board, count how many copies of each number are actually visible.
Try a three-stage practice routine
- Look for a single tile equal to the target.
- Try complements: for each tile, check whether target minus that tile is available elsewhere.
- If no pair is obvious, choose two tiles and calculate the remaining amount.
This routine is a search strategy, not a guarantee that the shortest answer is found first. Longer combinations may be valid too. In our game, every target has at least one three-tile solution, so you can always return to examining triples when a simpler answer is not apparent.
Keep the round untimed
The running total is there to support your reasoning. Use it to check a prediction, then adjust a mistaken selection. Incorrect checks do not deduct points or remove tiles. The useful question is how you found the total, not how quickly you can press the button.