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==== Mining Time ==== | ==== Mining Time ==== | ||
First, the amount of dragonite ore (<math> O_{do} </math>), runite ore (<math> O_{ro} </math>), and coal ore (<math> O_{co} </math>), are calculated by multiplying the number of smelting actions, <math> N_{smelt} </math> by the ingredient cost to perform one smelting action, <math> I_{smelt}</math> and the number quantity of the ore in the recipe. | |||
<math> O_{do} = N_{smelt}I_{smelt} </math> | |||
<math> O_{ro} = 2N_{smelt}I_{smelt} </math> | |||
<math> O_{co} = 6N_{smelt}I_{smelt} </math> | |||
The average ingredient cost to perform one smelting action depends on the Mastery level of dragon bars, <math> M_{smelt} </math>, and is reduced by 0.1 for every 20 mastery levels. | |||
<math> I_{smelt} = 1 - 0.1 \left \lfloor \frac {M_{smelt}}{20} \right \rfloor </math> | |||
Next, the number of mining actions for each ore is calculated. For dragonite, <math>N_{do}</math> ,and runite, <math>N_{ro}</math> ,this is calculated as: | |||
<math> N_{do} = \frac {O_{do}}{Q_{do}} </math> | |||
<math> N_{ro} = \frac {O_{ro}}{Q_{ro}} </math> | |||
Where <math> Q_{do} </math> and <math> Q_{ro} </math> are the average quantity of ore produced per mining action for dragonite and runite respectively. These are dependent on the mastery of the ores,<math> M_{do}, M_{ro} </math> ,which gives a 0.01 increase in the average quantity per 10 mastery levels, the ore bonus from the pickaxe used,<math> P_{ob} </math>, (0.07 for dragon), and if the signet ring is worn or not. | |||
<math> | |||
Q_{do} = | |||
\begin{cases} | |||
1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor & \text {if signet is not equipped} \\ | |||
1.1 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor \right ) & \text {if signet is equipped} | |||
\end{cases} | |||
</math> | |||
<math> | |||
Q_{ro} = | |||
\begin{cases} | |||
1 + 0.07 + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor & \text {if signet is not equipped} \\ | |||
1.1 \left ( 1 + 0.07 + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right ) & \text {if signet is equipped} | |||
\end{cases} | |||
</math> | |||
For coal ore the number of mining actions, <math> N_{co} </math> , is reduced due to the coal generated from the mining skillcape while mining dragonite and runite ores. It is given by: | |||
<math> N_{co} = \frac {O_{co} - N_{do} - N_{ro}}{Q_{co}} </math> | |||
Additionally, the quantity of ore per mining action is increased by one: | |||
<math> | |||
Q_{co} = | |||
\begin{cases} | |||
2 + 0.07 + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor & \text {if signet is not equipped} \\ | |||
1 + 1.1 \left ( 1 + 0.07 + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right ) & \text {if signet is equipped} | |||
\end{cases} | |||
</math> | |||
Finally the average time to perform a mining action is calculated. This is dependent on the respawn time of the ore, R_{o}, the effective ore health, H_o, and the pickaxe bonus speed (0.5 for dragon), <math> P_{bs} </math>. | |||
<math> T_o = \frac {3(1-P_{bs})H_o+R_o}{H_o} </math> | |||
The respawn times for dragonite, runite and coal ore are 120s, 60s and 10s respectively. | |||
The effective ore health is dependent on the mastery of the ore, <math> M_o </math> and the probability to not consume health provided by perfect swing potions, <math> P_{ps} </math>. | |||
<math> H_o = \frac {\left \lfloor M_o+5 \right \rfloor}{1-P_{ps}} </math> | |||
Finally, to obtain the total time spent mining the sum of mining actions multiplied by time per mining actions is calculated: | |||
<math> T_{mine} = T_{do}N_{do} + T_{ro}N_{ro} + T_{co}N_{co} </math> | |||
==== Diamond Luck Time ==== | ==== Diamond Luck Time ==== | ||