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Archaeologist Archaeologist Gold Statue
Trial requirement Archaeologist evolved to 5 stars and equipped with a certificate.
Trial reward

Archaeologist's Pearl x3; Golden Pot x 1; 100,000 Gold

Pearl Cost

10x Archaeologist Pearl
1x Spartan Pearl

Statue Cost

40 Arcane Crystal
2x Olin Bloss (Lv. 120)
2x Theia (Lv. 240)
3x Iapetos (Lv. 330)

Statue Bonus Attack+3, Power+3

In Sky and Space, Armor+5
Super Clone Capacity+1

Method 1:

This is the most efficient method, meaning the support gumball requirement is the lowest. The primary difference from other methods is maximizing the Disrupting Ray by casting it later.
Required:

(Optional: The following may be required, meaning I had them when I beat the trial using this method, but I don't think they are critical. Obviously the more you have the better. Hellfire statue, 5* Sage, Cyborg, Medusa + Poseidon baby)

  • Search Storage Chest
  • Buy Harp of Adventure & Hand of balrog
  • Learn title : Magic Apprentice > Black Mage > Wizard >Fire Master
  • Fire Ball 1 creep
  • Fire Ball boss (Just to really max out the burn rounds)
  • Fire Ball the other creep
  • Fire Ball boss x 2
  • Bless > Icicle > Attack x3
  • Fire Ball boss x 3
  • Bless > Icicle > Attack x3
  • Disrupting Ray > Meteor Shower x2
  • Unequip & Disenchant Harp of Adventure > Learn title Wizard
  • Meteor Shower x2

Method 2: (Requires 4* Puppeteer + Red Dragon)

  • Search Storage Chest
  • Buy Harp of Adventure & Hand of balrog
  • Learn title : Magic Apprentice > Black Mage > Wizard >Fire Master
  • Use Fire Ball kill 2 creep
  • Use Disrupting Ray > Meteor Shower x2 > Fire Ball > Icicle
  • Use Bless > Attack x2 > Fire Ball
  • Use Fire Ballx2 > Bless > Icicle
  • Attack x3 > Fire Ballx2
  • Unequip&Disenchant Harp of Adventure > Learn title Wizard
  • Use Meteor Shower x2 -WIN

Method 3: (Requires 4* Puppeteer + 4* Red Dragon) Note: Similar to the above, this method is more streamlined and keeps the Harp a little bit longer.

  • Search Storage Chest. Buy: Harp of Adventurer + Hand of Balrog.
  • Learn Title: Magic Apprentice I > Black Mage I > Wizard I > Fire Master I.
  • Cast Fireball at the two Robots. 
  • Cast Disrupting Ray, Meteor (2), Fireball (4) 
  • Cast Bless, Icicle. Attack (3)
  • Cast Fireball (2)
  • Cast Bless, Icicle (Boss counter should be at 2). Attack (3).
  • Unequip and Disenchant Harp of Adventurer. Learn Title: Wizard II.
  • Cast Meteor (2) to finish boss.

Method 4: (requires 6* Minstrel, 6* Mage, 6* Swordsman, 5* Tarot, 5* Ghost Captain, 5* Catherine, 5* Hellfire, 4* Red Dragon, 3* Puppeteer, 3* Sage, 3* Musashi, 3* Crusader, 3* Merman, 2* Mammoth, and a little luck)

  • Search storage chest. Buy harp of adventurer + hand of balrog
  • Learn title: magic apprentice (1) > black mage (1) > wizard (2)
  • Cast fireballs at 2 robots
  • Cast bless, icicle, attack (3)
  • Cast fireball, use elemental whirlpool (luck #1)
  • Cast bless, icicle, attack (3)
  • Cast disrupting ray, meteor (4)
  • Use elemental whirlpool x 2 (luck #2 and #3)
  • Unequip harp and disenchant
  • Buy wizard for the 3rd time
  • Cast meteor (2)

I believe my total damage was exactly the boss's health, or within a few points.

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