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In the standard form of this puzzle (also called slither link and many other names) a single closed loop is to be drawn along the grid lines, so that the number of sides of each numbered square used in the loop equals the number in that square.
MIT Mystery Hunt 2010 Message From Above
MIT Mystery Hunt 2011 Nik-holey
MIT Mystery Hunt 2013 Portals
MIT Mystery Hunt 2014 Magic Mushrooms
MIT Mystery Hunt 2016 Cubism