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May 21-June 6th, 2011. Peru, on a 100 year anniversary of Machu Picchu's first publication in the National Geographic, a 10 day expedition sets out to trace the explorer Hiram Bingham's path to Inca's most sacred city. Here, John Leivers, 59, of Amazonas Explorer, a Cusco outfitter company, crossing Rio Blanco on the trail from Choquequirao to Vitcos. Piotr Redlinski for The New York Times.