2009-05-04

Scoring Possibilities

Continuing the game analysis...

Scoring has been added in, and its permutations - probably needs some thorough bug checking but I'm running it anyway:

Of course, it is slower, so from Turn 14, P2 to play:
(This is just after P2 springs his Universal, and P1 zaps it)

>>138000000> 8)(-1,0)- (-1,0)- (-1,0)- (-1,0)- (3,3)S (0,3)X (0,0)S (3,0)P (2,2)X (3,2)A (1,0)S
>>138512236> 8)(-1,0)- (-1,0)- (-1,0)- (-1,0)-


138,512,236 permutations including scoring:
Of these these, the possible detected score were:

PLAYERS Scores P1 7 P2 5 Perm=0
PLAYERS Scores P1 7 P2 6 Perm=18
PLAYERS Scores P1 8 P2 5 Perm=1649
PLAYERS Scores P1 9 P2 5 Perm=4537
PLAYERS Scores P1 10 P2 5 Perm=177858
PLAYERS Scores P1 7 P2 7 Perm=848033

What does this mean? P2 cannot win from this position*. However, there are possible games in which P2 can draw with P1.

What have I said here, if my program logic is correct, I have proved a non-winnable game from turn 14 with 5 spaces to fill.

However, I will look further into the draw scenarios and see if there are unblockable draws, which would be good for P2.

Oooooh.... What is this (P2 to play):
>>1399375> 14) (1,1)A (4,1)k (4,3)K (4,4)k (2,1)P++ 7 to 7

I haven't check to see if it is blockable, but definitely trickable!
--------------------------
Further score analysis performed:
From Turn 14
Permutations 171,752,046
P1 WINS:
PLAYERS Scores P1 7 P2 5 at perm=0 num=56695680
PLAYERS Scores P1 7 P2 6 at perm=18 num=80227554
PLAYERS Scores P1 8 P2 5 at perm=1629 num=10785420
PLAYERS Scores P1 8 P2 6 at perm=7590 num=19356059
PLAYERS Scores P1 8 P2 7 at perm=2299977 num=278220
PLAYERS Scores P1 9 P2 5 at perm=4505 num=269412
PLAYERS Scores P1 9 P2 6 at perm=11130 num=524411
PLAYERS Scores P1 9 P2 7 at perm=2302634 num=9274
PLAYERS Scores P1 10 P2 5 at perm=191669 num=5760
PLAYERS Scores P1 10 P2 6 at perm=201174 num=6944
P2 WINS: (none)
DRAWS:
PLAYERS Scores P1 7 P2 7 at perm=880046 num=3593312


So, I couldn't win from Turn 14, but there was a chance at a blockable-draw.
A good move might have been:

>>45445675> 14) (2,1)P (3,4)x (4,3)K+ (4,1)k (1,1)A+ Turn 18 Finished result=-(D)-

The draw unblockable from Turn 18 (one more space left).
I did think about this, in general, during the game. I instead played a single for Turn 14 (2,1)S, this was a mistake (I haven't checked but I think a loosing move). As long as certain positions are free, a number of combinations end in a draw.

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