Continuity (Shrine)
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Continuity Shrines are the main objective in the Random Dungeons. Every dungeon contains one and you need to get them all in numerical order, starting at 10. You cannot skip ahead without completing the previous Random Dungeon. If you miss one the shrine will say "Thou must visit mine younger brother first."
The amount of experience that a Continuity Shrine gives is based on the following formula:
(((RD level+1)^4)-(RD level^4))/6 rounded down.