# Difficulty levels of the puzzles - 24theory, solves 24 the math game

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2024-07-29 16:00:12

I'd say yes. Both have only 1 unique solution. For 1 1 1 8 , it is (1 + 1 + 1) × 8, for 3 3 8 8 , it is 8/(3 - 8/3). For 1 1 1 8 the solution needs 2 additions and 1 multiplicationsn. While for 3 3 8 8 , it needs 2 divisions and 1 subtraction. And we all know divisions are hard for human brain to process, right?

But that's just instincts. We need solid data to backup our claims. Now we have 1362 solvable quadruples , our ultimate goal is to rank all those from the easiest to the hardest (with a reasonable margin of error).

That's why we need as many people to play the game as possible. When the time is run out or you decide to click the DONE button, we record your reaction time to each puzzle (if you solve at least 5 puzzles). After we collect enough data (millions of reaction times to these puzzles), we can run our ranking program to rank all these puzzles.

Methodology: players around the world have solved 6224190 puzzles so far. We calculate the adjusted median time (AMT) and rank the puzzle difficulties from the easiest to the most difficult. The adjusted median time (AMT) is defined as the median time that the survival rate from the Kaplan-Meier estimator crosses 50%. We also calculated the mean and standard deviation of the 1-sigma events (central 68% of the bell curve).