This guide is a detailed description of the mechanics and optimal donation strategy for Davies' Priory.

If you're not interested in the algorithm, you can jump to the "Optimal Strategy" sections below.

There are four reward tiers:

- thrilled
- pleased
- displeased
- angered

Te determine the resulting tier, the game first calculates a score - a numeric value based on the player's offer.
Both the absolute quantity of what's offered, as well as the number of clicks (each being one twentieth of your total) are used for this calculation.

The score is thus:


The author probably intended to include total quantity of power in the above formula, but apparently due to a bug the game instead uses a larger gold ratio instead.

Using the score calculated in the previous step, the game uses the following algorithm:

1. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "thrilled". Otherwise, proceed to step 2.
   
2. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "pleased". Otherwise, proceed to step 3.
   
3. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "pleased". Otherwise, proceed to step 4.
   
4. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "displeased". Otherwise, proceed to step 5.
   
5. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "displeased". Otherwise, proceed to step 6.
   
6. Pick a number between 0 and 300 (inclusive). If it is below the score, the resulting tier is "displeased". Otherwise, the resulting tier is "angered".
   
7. If the player has the "Lucky" trait, and the resulting tier is "displeased" or worse, retry the above steps one time. Otherwise, use the result as-is.
   The "Lucky" trait is obtained by recruiting all monsters in the "Team Mana" group, including the secret Wraith monster.

Note the following outcomes of the above:

1. The "thrilled" tier is guaranteed to be granted with a net score of over 300.
2. Even a meager offering has a small chance to produce the "thrilled" result.
2. For any net score value below 300, the full range of result tiers is possible (anything from "thrilled" to "angered"), at different probabilities.

Mathematically, the chance for each tier corresponds to the score divided by 300 and to the power of 1, 3, and 6 respectively.

As a visualization, you can consult the following graph:

Dungeon modifier rewards are chosen according to the following table:


The column is chosen depending on the ratio of clicks (twentieths of your inventory total) between each resource, e.g. four gold clicks and one power click mean about 80% chance that the result will be from the Gold column.
However, because the game checks these in order, the gold column has a slightly higher priority over the power column, and the power column over the thought column.

Depending on the reward tier, the quality is boosted as follows:

• thrilled: 20 + ((total offer clicks) * (random number between 0.7 and 0.8))
  
• pleased: 22 + ((total offer clicks) * (random number between 0.6 and 0.7))
  
• displeased: 24 + ((total offer clicks) * (random number between 0.4 and 0.6))
  
• angered: 26 + ((total offer clicks) * (random number between 0.4 and 0.6))

A visualization can be seen below; as visible, there is a lot of overlap between the ranges, making the distinction not very important.

This guide provides the optimal strategy (minimal expenses) for two parameters, specifically goal and risk.

Proceed as follows:

1. Determine if you have the Lucky trait or not, and go to the corresponding section.
   
2. Pick a goal (a column in the table from "Mechanics Step 3").
   
3. Pick an acceptable risk.
   
4. Consult the appropriate table.

Using the total amount of the corresponding resource, find the correct row by looking at the first column. The second column is the optimal action to achieve the desired goal with the selected risk.

Note that this guide only covers singular goals (i.e. the target being a single column).

Making small donations can be useful to anger the gods in order to raise the difficulty / quality.
Otherwise, unless you are stuck on a particular level and have exhausted all other means to progress that involve spending resources, I do not recommend using Davies' Priory.