Multi-Tree: Difference between revisions
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{{ | '''{{PAGENAME}}''' is an upgrade for {{Skill|Woodcutting}} that can be purchased from the [[Shop]] for {{PurchaseStat|{{PAGENAME}}|cost}}. The upgrade allows the player to cut two trees simultaneously, providing [[Woodcutting#Logs|logs]] from each tree and additional XP. | ||
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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. | |||
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}}, or [[Mastery Tokens]], as the number of actions performed remains unchanged. | |||
== 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: | |||
* 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. 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> | |||
== History == | |||
Until [[V0.20]], cutting multiple trees with the {{PAGENAME}} upgrade would result in an increased number of actions - With some of the faster trees selected, the number of actions performed over time far exceeded what was possible in other skills. As a result, {{Skill|Woodcutting}} was generally the preferred method of acquiring rare items such as {{ItemIcon|Signet Ring Half (a)}} and {{ItemIcon|Circlet of Rhaelyx}}. The implementation of this upgrade was then changed in [[V0.20]] to resolve the various balance issues this previous implementation had introduced. | |||
[[Category:Upgrades]] | [[Category:Upgrades]] | ||
{{Menu}} | {{Menu}} | ||
Latest revision as of 19:22, 13 June 2024
| This page was last updated for (v1.3). |
| Multi-Tree |
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| Unlock the ability to cut 2 different trees in Woodcutting. Logs, Skill XP and Mastery XP granted based on highest interval. |
| Type: Upgrade |
Cost: 1,000,000
|
| Requirements: None |
Multi-Tree is an upgrade for
that can be purchased from the Shop for 1,000,000. The upgrade allows the player to cut two trees simultaneously, providing 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 from the tree with the shortest action time is multiplied by [math]\displaystyle{ 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
) is applied. The amount of logs gained is always rounded down to the nearest whole number. Skill and
XP gained is not rounded - the full amount for the longest action time is granted to the player.
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 
Signet Ring Half (a), 
Circlet of Rhaelyx, or Mastery Tokens, as the number of actions performed remains unchanged.
Log Quantity
The quantity of logs obtained from any one of the trees being cut is defined as follows:
[math]\displaystyle{ \Big\lfloor \left ( \text{Logs}_{Base} \times M_{DoubleChance} \times M_{DoubleGuaranteed} + \text{Logs}_{Additional} \right ) \times M_{Action} \Big\rfloor }[/math]
Where:
- [math]\displaystyle{ \text{Logs}_{Base} }[/math] is the base quantity of logs, which is 1 for all trees unless the 20% chance for the Error creating thumbnail: File missingEnt +Error creating thumbnail: File missingSalamander Synergy succeeds, in which case the base quantity becomes 2
- [math]\displaystyle{ M_{DoubleChance} }[/math] is 2 if the roll for the chance to double logs succeeds, or 1 otherwise
- [math]\displaystyle{ M_{DoubleGuaranteed} }[/math] is 2 if the
Crown of Madremonte is equipped, or 1 otherwise - [math]\displaystyle{ \text{Logs}_{Additional} }[/math] is 1 if the roll for the chance of an additional resource (provided by things such as Error creating thumbnail: File missingEnt) succeeds, or 0 otherwise
- [math]\displaystyle{ 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:
- The number of
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 10
Oak Logs may be gained. Using the formula above, this is calculated as [math]\displaystyle{ \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]\displaystyle{ 15 \times \frac{4}{1.1} = 54.\overline{54} }[/math]
History
Until V0.20, cutting multiple trees with the Multi-Tree upgrade would result in an increased number of actions - With some of the faster trees selected, the number of actions performed over time far exceeded what was possible in other skills. As a result,
was generally the preferred method of acquiring rare items such as Signet Ring Half (a) and Circlet of Rhaelyx. The implementation of this upgrade was then changed in V0.20 to resolve the various balance issues this previous implementation had introduced.
| Melvor Idle version v1.3.1 (Released: 30th October 2024) |
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