Multi-Tree: Difference between revisions

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Revision as of 22:31, 25 December 2021

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Auron956

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-{{V|1.0}}{{PurchaseBox}}
+{{V|1.0.1}}{{PurchaseBox}}
 '''{{PAGENAME}}''' is an upgrade for {{Skill|Woodcutting}} that can be purchased from the [[Shop]] for {{GP|1000000}}. The upgrade allows the player to cut two trees simultaneously, providing [[Woodcutting#Logs|logs]] from each tree and additional XP.
-When cutting multiple trees the number of actions performed by the player does not change, instead the action time becomes that of the selected tree with the longest action time. The number of logs gained (before any doubling) from the tree with the shortest action time becomes <math>\left \lfloor \frac{\text{Longest Action Time}}{\text{Shortest Action Time}} \right \rfloor</math>. Skill and {{Icon|Mastery}} XP gained is unaffected, with the full amount for the longest action time being granted to the player.
+When cutting multiple trees the number of actions performed by the player does not change, instead the action time becomes that of the selected tree with the longest action time. The number of logs gained from the tree with the shortest action time is multiplied by <math>M_{Action} = \frac{\text{Longest Action Time}}{\text{Shortest Action Time}}</math>, where this multiplier is applied after any chance to double and chance for additional resources (such as that given by {{ItemIcon|Ent}}) is applied. The amount of logs gained is always rounded down to the nearest whole number. Skill and {{Icon|Mastery}} XP gained is not rounded - the full amount for the longest action time is granted to the player.
-For example, if simultaneously cutting Oak trees with an action time of 1.2 seconds and Yew trees with an action time of 4 seconds, the action time would be 4 seconds and <math>\left \lfloor \frac{4}{1.2} \right \rfloor = 3</math> {{ItemIcon|Oak Logs}} would be gained per action. The amount of skill XP gained (before any bonuses) from the Oak tree would then be <math>15 \times \frac{4}{1.2} = 50</math>.
+Both the chance to double logs and chance to gain 1 additional log are rolled independently for each tree being cut.
-This upgrade does not increase the chance of acquiring rare items such as {{ItemIcon|Signet Ring Half (a)}}, {{ItemIcon|Circlet of Rhaelyx}}, and [[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 ==
+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
+* If both the chance to double and chance for additional resource rolls succeed, then up to {{ItemIcon|Oak Logs|qty=10}} may be gained. This is calculated as <math>\Big\lfloor \left ( \text{Logs}_{Base} \times M_{Double} + \text{Logs}_{Additional} \right ) \times M_{Action} \Big\rfloor = \Big\lfloor \left ( 1 \times 2 + 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>
 == History ==