Magical Knight knows every Square of his Magical Kingdom. In many respects, he is like any other knight...Literary,Prime, Normal(makes same allowed chess moves).
He is people Knight . As he traverses every successive square, listens to people’s problems and offers very helpful solutions. His wisdom and skills are highly respected by king as well.
All the Knights are very economical and take only minimum required 63 moves to go thro’ each successive square and their final DESTINATION.
In the same spirit of helpfulness, he wants share some details of his journey(squares with black numbers..red is from normal Knight).
Please see picture below.
Now it is upto you to put all the pieces together and document full details of their journey.
Good Luck!!!
Hint 1:
All the knights moves are same given starting and end points..you can superimpose..literary, prime,normal, magical knights moves..you are almost there..added to that 8x8 magic square property ..key number 260 for sum of rows and columns..this lets you fill any of the gaps with few logical deductions.
Answer
Well, this one is much easier than the last one, with more extra clues. I did all this without looking at either Daniel Duque's answer or my previous partial answer.
Step-by-step deduction
2 is a knight's move between A1 and D2, so 2=B3. Then 4 is a knight's move between D2 and A5, but not B3, so 4=C4.
8 is a knight's move between D8 and E5, but not F7 (10), so 8=C6. Then 6 is a knight's move between A5 and D8, but not C6, so 6=B7.
It's easy to see from the corners, like before, that 12=G6 and 53=B6.
36 is a knight's move between H2 and H6, so 36=G4.
F2,G3 are the only squares a knight's move from H1 (18), so they are 17,19 in some order. We can't get from F2 to E3 (15) in two steps, since D1 (50) and G4 (36) are taken, so F2=19 and G3=17, so F1=16 a knight's move between E3 and G3.
61 is a knight's move between H5 and E2, but not G3 (17), so 61=F4. Then 63 is a knight's move between E2 and H3, but not F4, so 63=G1.
38 is a knight's move from H6, but not G4 (36), F5 (40), or F7 (10), so 38=G8. Then 39 is a knight's move between G8 and F5, but not H6 (37), so 39=E7.
Now we have:
There's only one empty three-step path from G6 to E3, so 13=H4 and 14=G2.
There's only one empty three-step path from F6 to H5, so 58=E8 and 59=G7.
56 is a knight's move between C7 and F6, but not E8 (58), so 56=D5.
B2,C3 are the only free squares a knight's move from D1 (50), so they are 49,51 in some order. We can't get from B2 to A3 (47) in two steps, since C4 (4) is taken, so 49=C3 and 51=B2. The only squares a knight's move from B1 are A3 (47), C3 (51), D2 (3), so 48=B1.
There's only one empty four-step path from D6 to D4, so 42=C8 and 43=A7 and 44=B5.
46 is a knight's move between D4 and A3, but not B5 (44), so 46=C2.
Now we have:
There are two possible empty four-step paths from A2 to F3, but both of them need 32=D3 and 33=E1.
There's only one empty five-step path from C5 to A2, so 26=D7 and 27=B8 and 28=A6 and 29=B4. Then we must have 31=C1 since B4 is taken.
Now the only thing left is a five-step path from E4 to C5: we must have 21=G5 and 22=H7 and 23=F8 and 24=E6.
Done!
Final solution
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