Quote:
I have read there were 1755 unique flop boards, right ?
Do you know how many unique isomorph turn boards are possible ?
Same question for River ?
The answer is right there in the thread you linked:
Quote:
1,13,169,1755,16432,134459
This means, 1755 flops, 16432 turns and 134459 rivers.
Please notice that this is calculated with an assumption that we deal all the cards at once.
In real poker though the order we deal cards in matters unless it's an all-in preflop.
For example As Ks Qs 2h is a different run-out than As Ks 2h Qs.
To calculate all possible strategically different run-outs you would need to go through all 1755 flops and then use the following table:
Code:
static int rainbow_multis[] = {1, 49, 2352};
static int mono_multis[] = {1, 23, 675};
static int paired_multis[] = {1, 37, 1476};
static int flush_draw_multis[] = {1, 36, 1429};
static int same_rank_multis[] = {1, 25, 744};
This table tells you how many strategically different turn/river run-outs exist on given flop.
For example on a rainbow unpaired flop every turn card is strategically different hence there are 49 possible strategically different turns and then 2352 rivers (total).
Rest of the table is self-explanatory. I don't have the aggregated number on hand though to answer your question.