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{{V|1.0.1}}


===TL;DR===
Farm the Ancient Claw with the {{Icon|Slicing Winds|type=spell|Slicing Winds}} build right after you finish {{ZoneIcon|Volcanic Cave|qty=100|Volcanic Caves}}.
===Introduction===
{{ItemIcon|Ancient Claw}} is largely the best melee weapon that does not require late-game content to obtain.
The Ancient Claw is assembled from the {{ItemIcon|Ancient Claw Fragment|fragments}} that drop only from the {{Icon|Pegasus|type=monster}}. You need to kill 3333 {{MonsterIcon|Pegasus|Pegasi}} on average to get enough fragments.
The question is when to farm it and what combat style is the best for that. The main point of contention is whether to farm it before or after the {{ZoneIcon|Volcanic Cave}} because this dungeon is farmed with a Melee build and is vital for idling the {{ZoneIcon|Air God Dungeon}}.
To answer these questions, we will consider the following builds:
* {{Icon|Fire Surge|type=spell|Surge}} magic,
* {{ItemIcon|Sunset Rapier|Rapier}} melee,
* {{Icon|Slicing Winds|type=spell}} magic,
* {{ItemIcon|Glacia God Helmet|Glacia}} magic.
These builds were chosen to show the changes that the various drops bring into farming the Pegasus. The ranged builds were not considered because the {{Icon|Pegasus|type=monster}} is {{Icon|Melee}} and has the highest evasion against {{Skill|Ranged}} in addition to the [[Combat Triangle]].
In the considered situations, no prayers, potions, or other buffs are enabled unless specified. <br>
The skill levels are given so that you can replicate the simulations in the [[Combat Simulator]]. <br>
The {{UpgradeIcon|Auto Eat - Tier III}} is used. <br>
The {{ItemIcon|Whale (Perfect)}} was used as a food of choice because it was considered a middle ground between starting out and being fully leveled out in Firemaking, Fishing, Farming, and Cooking.
The ring slot is always occupied with {{ItemIcon|Magical Ring}}.
===Builds===
===={{Icon|Fire Surge|type=spell|Surge}} magic====
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Slayer Wizard Hat (Strong)}}
| 0%
|-
| {{ItemIcon|Slayer Wizard Robes (Strong)}}
| 0%
|-
| {{ItemIcon|Fire Expert Wizard Bottoms}}
| 5%
|-
| {{ItemIcon|Fire Expert Wizard Boots}}
| 5%
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Enchanted Cape}}
| 0%
|-
| {{ItemIcon|Amulet of Magic}}
| 0%
|-
| {{ItemIcon|Paladin Gloves}}
| 4%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 16%
|}
{{SpoilerBox|text=
{{Icon|Fire Surge|type=spell}} is used with Combination Runes. All skills are at level 75.
The [[Combat Simulator|simulation]] results are:
* 1307 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 163 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 67.7 Pegasi per hour.
<math>T_c = 163 * 18.875 = 3077</math>
<math>T_m = (N * 7 * (1 + 2/16 + 2/16) / 16 + N / 16) * 1.3 = N / 16 * (8.75 + 1) * 1.3 = N * 12.675 / 16</math>
<math>T_r = N * 9.75 * 2 / 16 = N * 9.75 / 8</math>
<math>N = 1307</math>
<math>T_m = 1307 * 12.675 / 16 = 1035</math>
<math>T_r = 1307 * 9.75 / 8 = 1593</math>
The adjusted time <math>A_{start} = T_{all} / D_h = (3600 + 3077 + 1035 + 1593) / 67.7 = 137.5</math>
In other words, the time that is required to get all resources for killing one Pegasus and to actually kill it is 400 seconds.
The overall time to get all resources and kill all Pegasi is <math>137.5 * 3333 / 3600 = 127 \text{ hours}.</math>
The calculations in this whole guide don't take the Pegasus respawn time of 4 seconds into the account. It doesn't affect the ratio between the methods. If you want to add them, go ahead.
|title=Details|color=default}}
The overall time to get all resources and kill all Pegasi is 127 hours. However, pay attention that without the Slayer gear, it will be 371 hours.
===={{ItemIcon|Sunset Rapier|Rapier}} melee====
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Slayer Helmet (Strong)}}
| 0%
|-
| {{ItemIcon|Slayer Platebody (Strong)}}
| 0%
|-
| {{ItemIcon|(G) Dragon Platelegs}}
| 6%
|-
| {{ItemIcon|(G) Dragon Boots}}
| 6%
|-
| {{ItemIcon|(G) Dragon Shield}}
| 6%
|-
| {{ItemIcon|Amulet of Calculated Promotion|Promotion}} or {{ItemIcon|Amulet of Glory|Glory}}
| 0%
|-
| {{ItemIcon|Paladin Gloves}}
| 4%
|-
| {{ItemIcon|Sunset Rapier}}
| 0%
|-
| Total
| 22%
|}
{{SpoilerBox|text=
All skills are at level 75.
The simulation results are:
* 49.4 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 61.6 Pegasi per hour.
<math>T_c = 49.4 * 18.875 = 932.4</math>
The adjusted time <math>A_{ship} = (3600 + 932.4) / 61.6 = 73.6</math>
The overall time is <math>73.6 * 3333 / 3600 = 68 \text{ hours}.</math>
|title=Details|color=default}}
The overall grind time with this build is 68 hours. However, pay attention that if you don't use the Slayer gear, the overall time with this build will be 148 hours.
===={{Icon|Slicing Winds|type=spell}} magic====
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Ancient Wizard Hat}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Robes}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Bottoms}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Boots}}
| 5%
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Enchanted Cape}}
| 0%
|-
| {{ItemIcon|Elite Amulet of Magic}}
| 2%
|-
| {{ItemIcon|Elementalist Gloves}}
| 0%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 24%
|}
{{SpoilerBox|text=
All skills are at level 75 except {{SkillReq|Magic|91}}. With the following setup, you should have exactly 20k accuracy on {{Icon|Slicing Winds|type=spell}}, they cannot miss now.
The simulation results with the {{ItemIcon|Miolite Shield}} are:
* 4905 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 107.9 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 196.2 Pegasi per hour.
<math>T_c = 107.9 * 18.875 = 2037</math>
<math>T_m = (N * 4 + N) / 16 * 1.3 = N * 5 / 16 * 1.3 = N * 6.5 / 16</math>
<math>T_r = N * 5 * 2 / 16 = N * 5 / 8</math>
<math>N = 4905</math>
<math>T_m = 4905 * 6.5 / 16 = 1993</math>
<math>T_r = 4905 * 5 / 8 = 3066</math>
The adjusted time <math>A_{volcano} = T_{all} / D_h = (3600 + 2037 + 1993 + 3066) / 196.2 = 54.52</math>
The overall time is <math>54.52 * 3333 / 3600 = 50.48 \text{ hours}.</math>
If you swap from {{ItemIcon|Miolite Shield}} to {{ItemIcon|Book of Eli}}, it will only increase the clear time because your melee defence would plummet, resulting in many more Whales eaten.
|title=Details|color=default}}
The overall grind time with this build is 51 hours. The slayer gear doesn't add to the clear speed in this case.
Overall, you want to put as much DR and Melee defence as possible when maintaining the 20k accuracy.
For instance, if you have {{SkillReq|Magic|93}} with the build above, you can swap {{ItemIcon|Enchanted Cape}} with {{ItemIcon|Fire Cape}} and reduce the food consumption even further.
The rune mining and crafting take the bulk of the time, so you might want to use all preservation and doubling bonuses that you have.
===={{ItemIcon|Glacia God Helmet|Glacia}} magic====
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Glacia God Helmet}}
| 8%
|-
| {{ItemIcon|Glacia God Platebody}}
| 8%
|-
| {{ItemIcon|Glacia God Platelegs}}
| 8%
|-
| {{ItemIcon|Glacia God Boots}}
| 8%
|-
| {{ItemIcon|Glacia God Gloves}}
| 8%
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Infernal Cape}}
| 4%
|-
| {{ItemIcon|Elite Amulet of Magic}}
| 2%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 48%
|}
{{SpoilerBox|text=
The levels are the same as in the Volcanic build. Due to Ancient Magic not benefiting from gear, the build was aimed to cram as much DR and melee evasion as possible. If you have {{SkillReq|Magic|95}}, you should be able to swap for {{ItemIcon|Elite Amulet of Defence}} while still having the required 20k accuracy.
{{Icon|Slicing Winds|type=spell}} are used.
The simulation results are:
* 4905 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 47.7 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 196.2 Pegasi per hour.
As the number of runes is the same, <math>T_m = 1993.</math> <math>T_r = 3066.</math>
<math>T_c = 47.7 * 18.875 = 900.3</math>
The adjusted time <math>A_{glacia} = T_{all} / D_h = (3600 + 900.3 + 1993 + 3066) / 196.2 = 48.72</math>
The overall time is <math>48.72 * 3333 / 3600 = 45.1 \text{ hours}.</math>
|title=Details|color=default}}
The overall grind time with this build is 45 hours. But this build implies that you go through the {{ZoneIcon|Air God Dungeon}} with {{ItemIcon|Sunset Rapier}}, which is a sizeable loss of DPS that will cost you more than 6 hours of the difference between this build and the Ancient Magick build.
==Analysis==
Essentially, we want to know which of two sequences is faster:
* Rapier > Claw > Volcano,
* Rapier > Volcano > Claw.
====Full-Sunset Volcano vs Full-Claw Volcano====
Let's consider the Sunset Rapier and Ancient Magick builds.
The difference between their timings of completing the {{ItemIcon|Ancient Claw|claw}} is 17 hours.
The Volcano grind of the full {{ItemIcon|(G) Ancient Helmet|ancient}} set is longer with the with {{ItemIcon|Sunset Rapier}} than it is with the Claw.
The question is then if the difference between the {{ItemIcon|Sunset Rapier|rapier}} and the {{ItemIcon|Ancient Claw|claw}} in the Volcanic grind is bigger than 17 hours.
We know the length of "Raper > Claw" and "Volcano > Claw", but we need the data on "Rapier > Volcano" and "Claw > Volcano".
We take this data from [[Volcanic Cave/Guide#Weapon choice]].
{| class="wikitable"
|-
! Item
! Adjusted clear time (s)
|-
| {{ItemIcon|Sunset Rapier}}
| 1892
|-
| {{ItemIcon|Ancient Claw}}
| 1717
|}
The goal of clearing the {{ZoneIcon|Volcanic Cave}} is to get the {{ItemIcon|(G) Ancient Helmet|ancient}} set.
As specified on in the [[Volcanic Cave/Guide]], you need 1350 clears to almost certainly get a full set of Ancient armor or 832 clears to have a 75% chance. The median (50% or results) is 564 clears.
{| class="wikitable"
|-
! Item
! Adjusted clear time (clears/h)
! 564 clears (h)
! 832 clears (h)
! 1350 clears (h)
|-
| {{ItemIcon|Sunset Rapier}}
| 1.9027
| 296.4
| 437
| 710
|-
| {{ItemIcon|Ancient Claw}}
| 2.0967
| 267
| 397
| 644
|-
| Difference (h)
|
| 29
| 40
| 66
|}
As you see from the Difference row, even the 50% chance leaves the option of getting the Claw after the Volcanic Cave in a 12-hour disadvantage.
Therefore, if you farm the Volcanic Cave completely with the {{ItemIcon|Sunset Rapier}} and then farm the Claw with Ancient Magick, the sum of the Volcanic and Claw farm will be larger than if you were to farm the Claw with the Rapier and then doing the Volcanic Cave.
However, what if we were to use the [[Ancient Magicks]] as soon as we unlock it?
====Sunset/Ancient Volcano vs Claw/Ancient Volcano====
It is possible to clear the Volcano using the Ancient Magicks with the build from [[Volcanic Cave/Guide#100-Volcanoes Magic]]. Pay attention that you need 37% DR with {{Skill|Hitpoints|qty=920|HP}} to idle it. That amount of DR is reached either through the {{Icon|Stone Skin|type=prayer}} prayer or through the {{ItemIcon|Damage Reduction Potion II|DR potion II}}.
If we consider that we clear only 100 Volcanoes as a melee build and the rest as the [[Volcanic Cave/Guide#100-Volcanoes Magic|100-Volcanoes]] Magic build, then we compare the two sequences:
* Claw farm with Rapier + 100 Claw Volcanoes,
* 100 Rapier Volcanoes + Claw farm with Ancient Magicks.
{| class="wikitable"
|-
! Item
! Adjusted clear time (clears/h)
! 100 clears (h)
|-
| {{ItemIcon|Sunset Rapier}}
| 1.9027
| 52.56
|-
| {{ItemIcon|Ancient Claw}}
| 2.0967
| 47.69
|-
| scope="row" colspan="2" | Difference (h)
| 4.87
|}
In other words, the advantage of farming 100 Volcanic Caves with the Claw when compared to the Sunset Rapier is less than 5 hours.
If we consider the rearranged sum of what we compare
* Claw farm with Rapier + 100 Claw Volcanoes,
* Claw farm with Ancient Magicks + 100 Rapier Volcanoes.
and then subtract the second row from the first one, then we would get
<math>17 - 4.87 = 12.13</math>
In other words the sequence where we farm the Claw after the Volcano is faster than the sequence of farming the claw with Rapier by 12 hours.
==Conclusion==
Farm the Ancient Claw with the {{Icon|Slicing Winds|type=spell|notext=true}} Ancient Magicks build right after you finish {{ZoneIcon|Volcanic Cave|qty=100|Volcanic Caves}}.
If you cannot get the Ancient Magick build for some reason, then use the Rapier melee build with Slayer gear.
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<!--[[Category:Guides]]-->

Latest revision as of 21:58, 5 January 2022