Did dogfloss make TH10’s Advanced Opening a thing of the past for “Advanced Mode”?
In looking at dogfloss’ relatively new high score in Advanced mode I was curious as to how many higher scores are still possible. Dogfloss’ top game is below.
As anyone who has played advanced mode knows, just getting a “clean game” (no 4s or 3s; no connected 1s; and no unpaired 2s) is quite difficult. The likelihood of getting a clean game depends on how many edit abilities you have earned (and whether you are using the optimum options) and how many attempts you are making to get a high score.
I would guess that if you had 19 edit abilities (as I do), and only started games with racks 1 and 2 holding no 3s or 4s, that you would probably get a clean completed game once in every 200 to 300 attempts. And, if you are only trying for a clean game you are most certainly abandoning dozens of games until it occurs.
The table below shows, as far as I can tell, the only possible scenarios that could beat dogfloss’ recent score of 74,800. Dogfloss’ score is ranked as the 11th highest possible score, and there are only 10 ways left to get a better score. There are no possible higher scores with 8 fives. Any future score that beats dogfloss has to have 7 or 6 fives.
Considering the number of 5s required to reach the “highest” score, this raises the question of whether the Advanced opening is still the best option for Advanced mode. In considering TH10’s epic post of 2011 on how to maximize scoring opportunities by using his “Advanced Opening,” it is rather interesting that we are now in a situation where the advanced strategy only speaks to four of the possible ten ways to beat 74,800. For six of these possibilities a player would need to play the 5s as the major inner chain of the Dynasty opening, as shown below.
Also, here is a link to TH10's post (post 766 in this thread)
https://forumserver.twoplustwo.com/s...&postcount=766
While it is considerably more likely to get seven 5s in a clean game than it would be to get six 5s, if you are going for "highest score" it would still seem optimal to start 5s in the inner major position of the Dynasty opening, as you keep your options open for both six or seven 5s, whereas the Advanced setup simply can't be completed with six 5s.
NOTE: The above only applies if you are playing to get the “highest” score. If that is not the case, then starting your 5s in the advanced position is no doubt fine for getting scores in the 70,000 plus range. But, if your goal is “highest” score, is it time to look at the Dynasty alignment for 5s and pray for a flood of 6s and for 5s to dry up?
Last edited by ArcticKnight; 11-13-2024 at 03:06 AM.