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cso 244 var 2 parity paradox
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by
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dustin
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NESDORI                           2022-09-22 18:22
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THIS TIME I WOULD BE SURPRISED IF MY SOLUTION IS THE INTENDED :)

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DUSTIN                            2022-09-22 19:22
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nesdori, IN FACT I ALREADY EXPECTED YOU TO WRITE A COMMENT LIKE THIS, AND I PREPARED THE ANSWER "THIS SOUNDS AS IF YOUR SOLUTION IS INTENDED" :D

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NESDORI                           2022-09-22 19:24
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dustin, OH! WE'LL SEE ABOUT THAT :D

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ARNO                              2022-09-23 13:40
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NICE PUZZLE AGAIN! :-)  
  
MY SOLUTION FEELS LIKE "ACCORDING TO DESIGN", BUT... I FOUND 2 VARIANTS OF THIS IDEA. MY 2 RUNS SHOW BOTH OF THEM.

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DUSTIN                            2022-09-23 13:45
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INTERESTING, I'M CURIOUS FOR ALL YOUR SOLUTIONS! :D THE MAIN IDEA OF THE CAVE IS MORE ABOUT WHAT DOESN'T WORK AND LESS ABOUT WHAT DOES WORK, SO I'M NOT SURPRISED THAT THERE ARE SEVERAL SOLUTIONS. BUT IF YOU'D TRY TO SOLVE THIS THE "STANDARD WAY", YOU SHOULD GET PROBLEMS WITH THE CAVE TITLE ;)

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DUSTIN                            2022-09-23 21:07
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nesdori, WE WERE BOTH PARTLY RIGHT! IT WAS INDEED INTENDED THAT THE LIGHT | IS USED FOR THE MIDDLE FIREFLY AND ANOTHER | FOR THE LEFT ONE. BUT I FORGOT ABOUT THE FACT THAT THE LIGHT | CAN JUST FALL DOWN AND STILL GET OVER THE MIDDLE SLIME, SO MY INTENDED SOLUTION IS SLIGHTLY MORE TRICKY :D

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DUSTIN                            2022-09-23 21:15
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SOME MATH BEHIND THIS CAVE:  
IF THE CAVE IS PLAYED "NORMALLY" (LIKE THE ORIGINAL CSO 244 WITH ANY COMBINATION OF SNAPS AND DIPS), THEN EVERY MAGIC WALL IS USED EXACTLY TWICE, SO THE OVERALL NUMBER OF MAGIC TRANSFORMATIONS IS EVEN. THIS MEANS THAT THE PARITY (EVENNESS OR ODDNESS) OF THE ||| COUNT WILL NEVER CHANGE. BUT HERE, WE HAVE 5 ||||| AT THE START (INCLUDING THE LIGHT |) AND WE NEED 2 || IN THE END (FOR THE FIREFLIES). SO THE PARITY OF THE ||| COUNT MUST CHANGE FROM ODD TO EVEN, WHICH MEANS THAT THE CAVE CAN'T BE SOLVED "NORMALLY"! :D