Note: all clues use only the numbers 1, 2, 3 and 6 – the factors of six – and arithmetic operators +, –, •, ^ and !.
Here's a variation on a puzzle game I helped develop called insumnia. One of the options in insumnia allows the numbers used to get to the target (here the particular number in the grid) to remain the same while the player tries to adjust the operators to approach or equal the target. This is also a variation of the broken calculator puzzle, where only certain keys on a calculator work, and you have to get to the target using only those keys.
Checking for previous play data...
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