The 15 Puzzle

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ะŸะพะบะฐะทะฐั‚ัŒ ะพะฟะธัะฐะฝะธะต
Short Video Series (SVS-0022)
The 15 Puzzle

๐Ÿ“ซ๐Ž๐ฎ๐ซ ๐…๐ ๐๐š๐ ๐ž:

๐Ÿ“š๐ƒ๐š๐ฏ๐ข๐'๐ฌ ๐๐จ๐จ๐ค๐ฌ
๐Ÿ“• ๐—ช๐—ฒ๐—ถ๐—ฟ๐—ฑ ๐— ๐—ฎ๐˜๐—ต๐˜€: ๐—”๐˜ ๐˜๐—ต๐—ฒ ๐—˜๐—ฑ๐—ด๐—ฒ ๐—ผ๐—ณ ๐—œ๐—ป๐—ณ๐—ถ๐—ป๐—ถ๐˜๐˜† ๐—ฎ๐—ป๐—ฑ ๐—•๐—ฒ๐˜†๐—ผ๐—ป๐—ฑ
๐Ÿ“™ ๐—ช๐—ฒ๐—ถ๐—ฟ๐—ฑ๐—ฒ๐—ฟ ๐— ๐—ฎ๐˜๐—ต๐˜€: ๐—”๐˜ ๐˜๐—ต๐—ฒ ๐—˜๐—ฑ๐—ด๐—ฒ ๐—ผ๐—ณ ๐˜๐—ต๐—ฒ ๐—ฃ๐—ผ๐˜€๐˜€๐—ถ๐—ฏ๐—น๐—ฒ
๐Ÿ“— ๐—ช๐—ฒ๐—ถ๐—ฟ๐—ฑ๐—ฒ๐˜€๐˜ ๐— ๐—ฎ๐˜๐—ต๐˜€: ๐—”๐˜ ๐˜๐—ต๐—ฒ ๐—™๐—ฟ๐—ผ๐—ป๐˜๐—ถ๐—ฒ๐—ฟ๐˜€ ๐—ผ๐—ณ ๐—ฅ๐—ฒ๐—ฎ๐˜€๐—ผ๐—ป
** The kindle versions are available

๐Ÿ“„๐—ง๐—ฟ๐—ฎ๐—ป๐˜€๐—ฐ๐—ฟ๐—ถ๐—ฝ๐˜๐—ถ๐—ผ๐—ป:
The Fifteen Puzzle is a sliding-tile puzzle, which the American Sam Loyd claimed to have invented in the 1870s but that in fact was invented by Noyes Chapman, the Postmaster of Canastota, New York. It became a worldwide obsession, much as Rubik's cube did a century later.

Fifteen little tiles, numbered 1 to 15, are placed in a four by four frame in serial order except for tiles 14 and 15, which were swapped around. The lower right-hand square is left empty. The object of the puzzle is to get all the tiles in the correct order. The only allowed moves are sliding counters into the empty square.

Everyone it seemed was caught up with the craze โ€“ playing the game in horse-drawn trams, during their lunch breaks, or when they were supposed to be working. The game even made its way into the solemn halls of the German parliament.

Loyd offered a $1,000 reward for the first correct solution. But, although many claimed it, none were able to reproduce a winning series of moves under close scrutiny. Thereโ€™s a simple reason for this, which is also the reason that Loyd was unable to obtain a US patent for his invention.

According to regulations, Loyd had to submit a working model so that a prototype batch could be manufactured from it. Having shown the game to a patent official, he was asked if it were solvable. "No," he replied. "It's mathematically impossible." Upon which the official reasoned there could be no working model and therefore no patent!

Given a random arrangement of tiles, can we know in advance if we have one of the unsolvable kind? Very easily. Simply count how many instances there are of a tile numbered n appearing after the tile numbered n + 1. If there are an even number of such inversions, the puzzle is solvable, otherwise youโ€™re wasting your time!

#fifteen #puzzle #15
ะ ะตะบะพะผะตะฝะดะฐั†ะธะธ ะฟะพ ั‚ะตะผะต
ะšะพะผะผะตะฝั‚ะฐั€ะธะธ
ะะฒั‚ะพั€

Thank you sir. I was solving this type of puzzle only and it made me a headache ๐Ÿ˜‚

AnuragKumar-ffhp
ะะฒั‚ะพั€

Yes Solvable, but need little time, to prove with theory

teachPeace-sxgr
ะะฒั‚ะพั€

IL

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1:14 / 1:30


15-14 problem solved (15 puzzle game)

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