Lets talk about golden hatchet first

Difficulty: Easy

Golden Hatchet = Sky crown + Steel Bracers (+3 jump)

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Sky Crown = Gold Helmet + Water boots (+3 jump)
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Gold Helmet = Refined Gold + Iron net boots + Fine Crystal (+3 jump)

Water Boots = Fine Grass + Fine Leaf + Demon Gloves (+2 jump)
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Steel Bracers = Skeleton Steel Sword + Perfect Long Spear(+2 jump)

Skeleton Steel Sword = Sea Armor + Sea Armor + Wolf Tooth (+3 jump)

Perfect Long Spear = Skeleton Iron Sword + Skeleton Iron Sword + Vertical Wing + Wolf Tooth(+2 jump)

Skeleton Iron Sword = Iron net boots + Iron net boots + Wolf Tooth (+2 jump)

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Generally, any level of superior alchemy is ok.