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beyond X (easier version)
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by
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nesdori
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NESDORI                           2018-04-11 19:09
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LOTS OF UNNECESSARY DIRT REMOVED SO LESS COMBINATIONS TO TRY :)

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ARNO                              2018-04-12 20:47
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I TRIED MANY POSSIBILITIES AND EVEN MORE I DID NOT TRY...   
PERHAPS WE NEED AN AI BOT FOR THIS CAVE...   
OR krissz COULD WRITE A ROUTINE TO TEST ALL POSSIBILITIES. WITH 100 TESTS PER SECOND IT WOULD RUN FOR 15 DAYS...  :-)

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NESDORI                           2018-04-12 21:22
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AT THE RATE OF 100 CHECKS / SECONDS THE ORIGINAL "BEYOND X" WOULD TAKE 23 MILLIONS YEARS TO RUN COMPLETELY. SO THIS EASIER VERSION INDEED IS EASIER.. :)

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NESDORI                           2018-04-12 21:55
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WHILE TALKING ABOUT COMPUTATIONAL COMPLEXITY; I HAVE SOMETIMES WONDERED IF BOULDER DASH IS NP-COMPLETE SO IT WOULD BE POSSIBLE TO BUILD A CAVE TO REPRESENT ANY NONDETERMINISTIC POLYNOMIAL TIME PROBLEM. LIKE IT HAS BEEN PROVED THAT MINESWEEPER IS NP-COMPLETE:  
  
<a href="http://simon.bailey.at/random/kaye.minesweeper.pdf" target="external">HTTP://SIMON.BAILEY.AT/RANDOM/KAYE.MINESWEEPER.PDF</a>

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ARNO                              2018-04-13 11:53
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INTERESTING STUFF! :-)  
  
ABOUT THIS CAVE: JUST TO BE SURE, HAVE YOU TESTED IT? SO WE KNOW THAT A SOLUTION EXISTS AT ALL?   
IF YES, COULD YOU GIVE A HINT, OR REDUCE MORE DIRT? THX! :-)

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NESDORI                           2018-04-13 15:32
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MY CAVES ARE ALWAYS TESTED. I MADE A NEW VERSION WHICH HAS ADDITIONAL HINTS.