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arno 1539 a quiet stroll ii
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by
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Arno
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ARNO                              2025-12-06 16:06
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THE SUCCESSOR OF MY PREVIOUS CAVE, NOW WITH TIMING MODULO 2, 4, 8, 16, 32 AND 64. PLUS, ANOTHER WAY OF PREPARING THE DELAYS, WHERE THE TIMING IS THE MAIN GOAL, AND LEAVING NO DIAMOND BEHIND A BONUS CHALLENGE! :-)  
  
THIS IS MY BIRTHDAY TREAT FOR YA ALL, ENJOY! :-D

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DUSTIN                            2025-12-06 16:31
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I'D LIKE TO FINISH THIS CAVE THEN SAY "HAPPY BIRTHDAY" AND COMMENT ON THE CAVE IN ONE GO. BUT... I GUESS I WILL PROBABLY NOT BE ABLE TO FINISH THE CAVE WHILE YOUR BIRTHDAY IS STILL ACTUAL! SO LET'S MAKE SEPERATE COMMENTS :D  
  
HAPPY 44!  
  
OR, AS MY FATHER WOULD PUT IT, HAPPY 45TH BIRTHDAY! (HE LIKES TO COUNT ONE'S ACTUAL DAY OF BIRTH AS 1ST.) I MENTION THIS BECAUSE WITH THIS COUNTING, YOUR BIRTHDAY NUMBER IS THE SQUARE ROOT OF THE YEAR :D  
  
AND THANK YOU SO MUCH FOR YOUR BD WEBSITE! IF I HADN'T DISCOVERED IT DURING MY STUDYING TIME, I WOULD PROBABLY ONLY HAVE SOME FAINT MEMORIES LEFT ABOUT MY CHILDHOOD GAME. AS IT IS, IT'S... A LITTLE DIFFERENT :D  
  
HOPE YOU HAVE A GOOD DAY, AND GREETINGS TO helena!

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ARNO                              2025-12-06 16:39
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THX SO MUCH dustin! :-D

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ROB GILBERT                       2025-12-06 17:27
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HAPPY BIRTHDAY, arno! THANKS SO MUCH FOR THE INSPIRING CAVES! :)

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HELENA                            2025-12-06 19:11
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THANK YOU dustin, GREETINGS TO YOU TOO! THIS CAVE I HAVE ENJOYED WATCHING THE MAKING OF, LOOKING FORWARD TO ALL YOUR SOLUTIONS (AND I GOT A SNEAK PEEK OF arno'S)?

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DARKWOOD                          2025-12-06 20:19
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HAPPY BD!

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DUSTIN                            2025-12-06 20:27
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HI helena AND THX :) GUESS I WANNA DO SOME FUN MATH BEFORE EVEN ATTEMPTING TO PLAY THIS CAVE :D

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DUSTIN                            2025-12-06 23:23
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HA! STILL "IN TIME"! :D  
  
95 PERCENT OF THE SOLUTION WAS PAPERWORK, DEFINING A SPECIFIC FRAME CLOSE TO THE END OF THE Ζ'S JOURNEY (OR, MORE PRECISELY, THE ΖΖΖ'S RELAY RACE) AS FRAME 0 AND THEN WORKING BACKWARDS, ALL MODULO 64. ALL TO FIGURE OUT THE EXACT DELAYS BETWEEN THE Ζ "HANDOVERS". THEN ANOTHER BIG PART WAS TO FIGURE OUT HOW TO ACTUALLY SET THESE EXACT DELAYS IN THE ΒΒΒ-ΑΑΑ-BOXES. I WORKED OUT SOME FORMULAS BUT SOMETIMES THEY WEREN'T SUFFICIENT SO I COMBINED THEM WITH TRIAL-AND-ERRORING. IN ONE WORD, IT WAS A LOT OF FUN! :D  
  
THE PURE GAMEPLAY WAS ACTUALLY A LOT EASIER THAN IN EPISODE 1 BECAUSE Κ ISN'T IN A HURRY AS HE DOESN'T HAVE TO WALK THROUGH THE ΖΖΖ AREA HIMSELF :D  
  
I HAVEN'T TRIED FOR ALL ΑΑΑ, THOUGH, THIS WOULD BE A COMPLETELY NEW THING, LESS MATH-Y, MORE GAMEPLAY TECHNIQUE-Y :D

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DUSTIN                            2025-12-06 23:29
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AH, AND OF COURSE, THE CSO-ISH "HANDOVERS" AMONG THE ΖΖΖ ARE A VERY NICE BONUS :D

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ARNO                              2025-12-07 12:16
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THANX AND WELL DONE!  
  
INDEED, DURING DESIGN I DISCOVERED, FROM MODULO 8 ON, THAT ACTUALLY 2 FRAMES "WORKED". SO I PLACED VOODOOS ABOVE TO ENFORCE ONE OF THEM.  
  
ALSO INTERESTING, HOW TO CREATE THE CORRECT DELAY, IN PARTICULAR AT THE BEGINNING, SINCE SOME OF THE VERY SHORT DELAYS ARE NOT POSSIBLE TO CREATE, AND THERE ARE TOO LITTLE DIAMONDS/BOULDERS IN THE POOL TO ADD MODULO X TO IT.  
  
THE BONUS CHALLENGE TO GET ALL DIAMONDS ADDS EVEN MORE RESTRICTIONS...  
  
LAST NOTE, MY RUN IS PROBABLY FAR FROM OPTIMAL, SO FOR THE HIGHSCORE HUNTERS, THERE ARE, AT LEAST IN THEORY, VARIOUS WAYS TO OUTSCORE MY RUN... ;-D

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ARNO                              2025-12-10 13:16
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MY RUN FREE! :-D

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DUSTIN                            2025-12-10 23:10
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VERY NICE! NOW IT DOESN'T LOOK THAT DIFFICULT TO GO FOR ALL ΑΑΑ, BUT THE FACT THAT Κ HAS TO COLLECT ALL ΑΑΑ FALLING THROUGH THE ΙΙΙ DEFINITELY ADDS A BIG EXTRA CHALLENGE!  
  
MY RUN FREE TOO, IT'S MORE MINIMALISTIC:D  
  
IT COULD BE AN INTERESTING THEME FOR ANOTHER CAVE TO FIGURE OUT WHICH SMALL DELAYS ARE POSSIBLE TO CREATE AND WHICH AREN'T. OR FROM WHICH NUMBER ON EVERY DELAY IS POSSIBLE!  
  
I STARTED WORKING ON A FORMULA. IT SHOULDN'T BE TOO DIFFICULT, BUT I GOT STUCK AND HAVEN'T HAD THE MOTIVATION SO FAR TO CONTINUE TRYING :D

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ARNO                              2025-12-12 15:41
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WELL, ABOUT THE POSSIBLE DELAYS, I FOUND THE FOLLOWING:  
  
\ 1 TO 3 FRAMES DELAY ARE NOT POSSIBLE.  
  
\ 4 IS POSSIBLE BY JUST SNAPPING 1 ITEM: IF THE FFLY ENCOUNTERS A SINGLE HOLE, HE WILL STAY THERE FOR 3 FRAMES, AND NEEDS 1 FRAME TO GET OUT AND RESUME ITS PATH. DELAY 4 ALSO OCCURS BY SNAPPING MULTIPLE ITEMS CONNECTED HORIZONTALLY, OR EVEN REMOVING THE COMPLETE TOP LAYER FROM THE POOL.  
  
\ 5 IS NOT POSSIBLE.  
  
\ 7 IS POSSIBLE BY SNAPPING 3 ITEMS AT A CORNER. OR, FOR EXAMPLE, BY REMOVING THE TOP LAYER, PLUS 1 EXTRA ITEM AT A CORNER.  
  
\ AN EXTRA DELAY OF 2 CAN BE ADDED TO ANY CONFIGURATION, BY JUST REMOVING A FULL LAYER. FOR EXAMPLE: REMOVING 2 FULL LAYERS IN TOTAL GIVES 4+2 = 6 DELAY. SO ANY EVEN NUMBER &GT;= 4 IS POSSIBLE. LIKEWISE, ANY ODD NUMBER &GT;= 7 IS POSSIBLE. JUST NOTE THAT THE NUMBER OF AVAILABLE LAYERS IN THE POOL GIVES RESTRICTIONS.  
  
IN SHORT, ALL DELAYS OTHER THAN 1, 2, 3 AND 5 ARE, IN THEORY, POSSIBLE WITHOUT RESTRICTIONS. WHICH ONES EXACTLY DEPENDS ON THE SIZE (DEPTH) OF THE POOL. :-)

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DUSTIN                            2025-12-13 20:11
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THAT SOUNDS VERY CONVINCING arno! :D  
  
THE FORMULA I WAS STARTING TO WORK FOR IS TO CALCULATE THE DELAY OF A GIVEN FORMATION AS EASILY AS POSSIBLE. I ALREADY HAD TWO SPECIAL CASES:  
  
1. ISOSCALES RIGHT TRIANGLE SHAPE ON THE EDGE, THE "STAIRS" FORMING THE HYPOTHENUSE:  
DELAY = 3N+1, WHERE N IS THE MAX DEPTH.  
  
2. ISOSCALES RIGHT TRIANGLE IN THE MIDDLE, THE HYPOTHENUSE LYING ON TOP, THE "STAIRS" DOWN AND UP FORMING THE CATHETI:  
DELAY = 4N  
  
HOWEVER, I COULDN'T CREATE ALL THE NECESSARY DELAYS IN THIS CAVE USING ONLY THESE TWO SPECIAL CASES, SO I WAS TRYING TO MAKE A MORE GENERAL FORMULA FOR ALL POSSIBLE CASES, BUT THEN I LOST PATIENCE AND JUST TRIAL-AND-ERRORED MY WAY THROUGH... ;)  
  
I HAVE AN IDEA FOR A "WHICH DELAYS ARE POSSIBLE?" CAVE. IS IT OK IF I CREATE AND EVENTUALLY UPLOAD SUCH A CAVE, OR DO YOU WANT TO KEEP THE "COPYRIGHTS"? :D

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ARNO                              2025-12-13 22:31
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GREAT ADDITION TO THE ANALYIS, dustin!  
AND GO AHEAD WITH YOUR CAVE, I'M CURIOUS! I HAVE MYSELF A FEW MORE IDEAS AROUND THIS THEME, BUT YOUR IDEA SOUNDS REALLY COOL AS WELL! ;-D