Knight Knight Sleep Tight IV

Logic Level 2

Given an original starting board of a game of chess, what is the minimum number of moves needed to keep White's other pieces the same, but swap the knights on B1 and G1? You can ignore any moves from Black.

This problem is part of the Knight Knight Sleep Tight set.

5 6 7 8 9 10 11 12

Stephen Mellor by Stephen Mellor , 20, United Kingdom

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1 solution

Stephen Mellor
May 9, 2018

It is clear that the knights must each take an odd number of moves as black/white squares alternate each move. 3 moves each is clearly not possible so 5 moves each is next best, which can be done with one knight following the green and the other following the blue path below (meaning they won't bump into each other):

5 + 5 = 10 5+5=\boxed{10}

0 Helpful 1 Interesting 0 Brilliant 1 Confused

Another way possible....B-1 TO C-3 TO D-5 TO F-4 TO H-3 TO G-1.( Total moves: 5 as not counting initial position.)

Kunal Katiyar - 3 years, 1 month ago

Why should knight take odd number of moves?

Vaibhav Priyadarshi - 3 years ago

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As it already says in the solution, black and white squares alternate each move with knights

Stephen Mellor - 3 years ago

i was soooooo close!!!

Sofia Kwan - 11 months ago

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