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m (Update to v1.1.1) |
(Update log quantity formula for guaranteed doubling) |
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This upgrade does not increase the chance of acquiring rare items such as {{ItemIcon|Signet Ring Half (a)}}, {{ItemIcon|Circlet of Rhaelyx}}, or [[Mastery Tokens]], as the number of actions performed remains unchanged. | This upgrade does not increase the chance of acquiring rare items such as {{ItemIcon|Signet Ring Half (a)}}, {{ItemIcon|Circlet of Rhaelyx}}, or [[Mastery Tokens]], as the number of actions performed remains unchanged. | ||
== Example == | == Log Quantity == | ||
The quantity of logs obtained from any one of the trees being cut is defined as follows: | |||
<math>\Big\lfloor \left ( \text{Logs}_{Base} \times M_{DoubleChance} \times M_{DoubleGuaranteed} + \text{Logs}_{Additional} \right ) \times M_{Action} \Big\rfloor</math> | |||
Where: | |||
* <math>\text{Logs}_{Base}</math> is the base quantity of logs, which is 1 for all trees unless the 20% chance for the {{ItemIcon|Ent}} + {{ItemIcon|Salamander}} [[Synergy]] succeeds, in which case the base quantity becomes 2 | |||
* <math>M_{DoubleChance}</math> is 2 if the roll for the chance to double logs succeeds, or 1 otherwise | |||
* <math>M_{DoubleGuaranteed}</math> is 2 if the {{ItemIcon|Crown of Madremonte}} is equipped, or 1 otherwise | |||
* <math>\text{Logs}_{Additional}</math> is 1 if the roll for the chance of an additional resource (provided by things such as {{ItemIcon|Ent}}) succeeds, or 0 otherwise | |||
* <math>M_{Action}</math> is as defined above | |||
=== Example === | |||
Consider the scenario where the player is simultaneously cutting Oak trees with an action time of 1.1 seconds and Yew trees with an action time of 4 seconds, then for every action: | Consider the scenario where the player is simultaneously cutting Oak trees with an action time of 1.1 seconds and Yew trees with an action time of 4 seconds, then for every action: | ||
* The number of {{ItemIcon|Yew Logs}} obtained will be between 1 and 3 | * The number of {{ItemIcon|Yew Logs}} obtained will be between 1 and 3 | ||
* If both the chance to double and chance for additional resource rolls succeed, then up to {{ItemIcon|Oak Logs|qty=10}} may be gained. | * If both the chance to double and chance for additional resource rolls succeed, then up to {{ItemIcon|Oak Logs|qty=10}} may be gained. Using the formula above, this is calculated as <math>\Big\lfloor \left ( 1 \times 2 \times 1 + 1 \right ) \times \frac{4}{1.1} \Big\rfloor = \left \lfloor 10.\overline{90} \right \rfloor = 10</math> | ||
* The amount of skill XP gained (before any bonuses) from the Oak tree would then be <math>15 \times \frac{4}{1.1} = 54.\overline{54}</math> | * The amount of skill XP gained (before any bonuses) from the Oak tree would then be <math>15 \times \frac{4}{1.1} = 54.\overline{54}</math> | ||