22

The phrase is


17

1 (got this and then saw Stiv's comment to that effect) 2 3 4 (per PilsNot3's answer) 5 (per PilsNot3's answer / Stiv's comment) 6 7 8 Bonus


13

Given the first 11 primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 We can observe that: We'll always get 2, 3 and 7 for "free" (via other numbers, such as 23 and 17, etc), so they can be ignored leaving only 5 to be explicitly included Of the double digit numbers it is possible to get either 13 and 31 for free (using 11 + 31 or [1/2]3 + 1[1/7/9]), but ...


7

This place is OP EDIT: This is a close up image of the place:


6

Partial Answer - finished Task 1


6

So first of all, From the top right, And now it's time for the main break-in to the puzzle: there's an interesting question hiding in this clue layout. There's another question in there, with a similar method. So, armed with this new constraint, we can make some more deductions: More connectivity constraints give more deductions, leading to the solution....


5

4 intermediate steps (thanks @ace) 6 intermediate steps


4



4

My first guess would be because Of course, this assumes I don't think


4

For promotion to queen, a solution with four pieces: Best play is For promotion to knight, one with nine pieces: The solution here is


4

The place you are looking for is aka Wikipedia Page


3

Computer-assisted solutions based on /usr/share/dict/words as provided by the Ubuntu wamerican package, version 7.1-1. There are 45 solutions I found, posted below are the shortest and longest ones. For the full list click here or run the code yourself. Least steps (12 swaps): Solution 1: Solution 2: Most steps (36 swaps): Python code (apologies in ...


3

Admittedly, I've already spoiled myself by looking at Omega Krypton's "solution", but here's one plausible method to find it legitimately: OP also indicated that there was a second meaning to the title. Well, even after finding the solution (sorta) legitimately, I still don't have any idea what else it could mean. Some thoughts:


3

I vaguely remember seeing this a few years ago so I had a head start on working it out again. Someone with better searching skills will have to see if it's a duplicate. It's a very clever puzzle. So, here's the solution (it's 22 moves, so maybe I have something slightly wrong): Here's a gif (generated from https://www.chess.com/gifs): Bonus question:


3

Promotions to knights, 8 pieces White to play and mate in 3. Solution:


2

Like @Omega Krypton I have solved one part, Task 2:


2



2

Nobody has a offered a bishop construction yet. Here is one, though imperfect: White to move and mate in 3 Solution: It is not great because The difficulty to build a problem with BB or RR promotions is that


1

I believe this qualifies:


1

Promotion to rook, 5 pieces (note this may not qualify)


1

Well, while @DrXorile found the answer, I'd figured out the key idea and the first couple of moves of the actual answer, but then my attempt is quite different. In the end, I understood why it doesn't quite work, but it still involves a really beautiful sequence and requires sharp play by Black. So here it is. The only answer by Black Now Black has ...


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