Conclusions

Because equipment allows you to raise or lower certain Menaces, a common question is whether doing so would be more or less efficient when cashing out Menaces during Hallowmas.

Before the change to the formula, cashing out at a range of 6 to 8 Menace levels was usually optimal, with 6 for lower Menace CP gains, and 7 to 8 for higher Menace CP grinds. After the change, the formula has become linear and cashing out at higher Menace levels is now (almost) always better. If you can’t reach 9 or higher, though, the difference is usually less than 5% and turning Menaces in at 8 is generally good enough. At a gain of 5 Menace CP per action it can make up to a 12% difference (because of rounding up actions required to reach those Menace levels), but it’s not really practical to pay attention to that while playing.

Cashing out Menaces always costs 1 action and you will need another 2 actions if you are entering/leaving a Menace area (or are entering/leaving another area such as Underclay for your grind). Below I am first assuming a base action cost of 3, and then a base action cost of 1 assuming you have found a grind that does not involve entering/leaving a specific area.

The lines below aren’t entirely smooth because action costs have been rounded up. You can’t have 1.1 actions.

Menace CP per Action	Menace Level
	1	2	3	4	5	6	7	8	9	10
1 CP per Action	0.25	0.5	0.67	0.77	0.83	0.88	0.9	0.92	0.94	0.95
2 CP per Action	0.25	0.6	1	1.25	1.36	1.5	1.65	1.71	1.73	1.77
3 CP per Action	0.25	0.75	1.2	1.43	1.88	2.1	2.15	2.4	2.5	2.5
4 CP per Action	0.25	0.75	1.2	1.67	2.14	2.33	2.8	3	3	3.24
5 CP per Action	0.25	0.75	1.2	2	2.5	2.62	3.11	3.27	3.75	3.93
6 CP per Action	0.25	0.75	1.5	2	2.5	3	3.5	4	4.09	4.23

Menace CP per Action	Menace Level
	1	2	3	4	5	6	7	8	9	10
1 CP per Action	0.5	0.75	0.86	0.91	0.94	0.95	0.97	0.97	0.98	0.98
2 CP per Action	0.5	1	1.5	1.67	1.67	1.75	1.87	1.89	1.88	1.9
3 CP per Action	0.5	1.5	2	2	2.5	2.62	2.55	2.77	2.81	2.75
4 CP per Action	0.5	1.5	2	2.5	3	3	3.5	3.6	3.46	3.67
5 CP per Action	0.5	1.5	2	3.33	3.75	3.5	4	4	4.5	4.58
6 CP per Action	0.5	1.5	3	3.33	3.75	4.2	4.67	5.14	5	5

# Function to calculate Spirit of Hallowmas gain per action
# Default base action cost of 3 (1 for cashing out, 2 for entering/leaving)

spirit_per_action <- function(menace_level, menace_cp_per_action, base_cost = 3) {
  menace_cp <- (menace_level / 2) * (1 + menace_level)
  spirit_val <- (menace_level / 2) * (1 + menace_level) 
  spirit_per_menace_cp <- spirit_val / menace_cp
  actions_req <- ceiling((menace_cp / menace_cp_per_action) + base_cost)
  spirit_per_action <- spirit_val / actions_req
  spirit_per_action
}

Hallowmas - Optimal Spirit per Action Gain

David

10/27/2021

Conclusions