Problem Bks.: William Lowell Putnam Mathematical Competition 2001-2016 : Problems, Solutions, and Commentary by Kiran S. Kedlaya, Evan M. O'Dorney, Jonathan M. Kane and Daniel M. Kane (2021, Trade Paperback)
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There is also a section of hints, to encourage readers to engage deeply with the problems before consulting the solutions. Kiran Kedlaya also maintains the online Putnam Archive.