Greetings All!
And Happy Christmas and Happy New Year.
I am trying to find out what formula is used
to determione the scores in the Gnome game
Five or More, in which you score BY "lining up"
5 or more counters of the same colour on a 9x9
board. In fact it's a bit more general than that,
and any 2 or more intersecting lines, where with
your latest move you have made each line contain
5 or more counters all of the same colour, then
you get a score which depends on the total number
of counters in these lines. Theae counters arre
then erased and their cells become empty.
For a single line (vertical or horizontal or
diagonal) you can score with 5/6/7/8/9 counters.
To score more than 9, you need at least three
lines, which intersect at a single empty cell into
which you then drop a counter of the same colour,
combining 2 of the line into a line with 6/7/8/9
and with 4 more in the third ine.
Then you score with 10/11/12/13 counters.
And, if I've got it right, the biggest number of
counters you can score with is when you have 8 lines,
each with four counters, intersecting at the centre
of the 9x9 square which is still an empty cell;
and then you drop a counter into that square,
and then you score with 33 counters.
The "Help" page for gthe Gnome game says:
Number of objects Score given
5 10
6 12
7 18
8 28
9 42
10 82
11 108
12 138
13 172
14 210
so it only goes up to 14 counters. However, as I describe
above, one can go higher (up to "Number of objects" = 33.
Trying to give this a go, I did succeed in achieving 17
(four diagonal lines with 4, plus 1 for the cell where
they meet), and my score jumped from somewhere in the
hundreds to 4106; so clearly one can score in the thousands
with "Number of objects" = 17.
But since I have seen no documentation which tells how many
points you score for more than 14 counters, and have not seen
any description which describes how the score is calculated
from "Number of objects".
Does anyone know, or can find out?
with thanks, and best wishes to all,
Ted.