OFFSET
1,4
COMMENTS
A quasi-magic tour is a special type of semi-magic tour in which the non-magic lines add to only two different values. Such tours are of interest on boards where magic tours don't exist.
LINKS
G. P. Jelliss, Quasi-Magic Tours, The Games and Puzzles Journal #26, April-June 2003.
Awani Kumar, Studies in Tours of Knight on Rectangular Boards, arXiv:1802.09340 [math.GM], 2018.
EXAMPLE
Example of 6 X 10 quasi-magic knight's tour. All short lines add to 183 and the long lines add to either 299 or 311, that is, 305 +- 6.
01 20 59 42 17 26 29 44 15 46
60 41 02 19 28 43 16 47 30 13
21 04 39 58 25 18 27 14 45 48
40 57 22 03 54 51 08 33 12 31
05 38 55 24 07 36 53 10 49 34
56 23 06 37 52 09 50 35 32 11
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Awani Kumar, Jan 18 2020
STATUS
approved