Given is a domino parts set with typical 28 parts from [ | ] to [6|6].
[ | ] [ |1] [ |2] [ |3] [ |4] [ |5] [ |6]
[1|1] [1|2] [1|3] [1|4] [1|5] [1|6] [2|2]
[2|3] [2|4] [2|5] [2|6] [3|3] [3|4] [3|5]
[3|6] [4|4] [4|5] [4|6] [5|5] [5|6] [6|6]
As every domino player knows, one can only place a part after one of the 2 ends of the dominoes chain; and the end placed part free half must match the half of the part to be placed that will be snapped to it!
The rules for scoring are: every time a part is placed, if the sum of both ends of the dominoes chain is a multiple of 5, you add it to you current score.
example: [4|2] [2|1] makes 5 points
A double (every part where the two halfes are equal) is always placed rotated by 90º; so for accounting purposes, unlike other pieces, both sides ot the part are taken into account.
Example:
___ ___
|6| |4|
——— [6|4] ———
|6| |4|
——— ———
makes for 20 points.
One single part placed accounts as the two tips.
Example [2|3] accounts as 5 points
And
___
|5|
———
|5|
———
accounts as 10 points.
So what is the chain that achieves the maximal number of points and what is that score?