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You are invited to an Easter egg hunt party having 100 colored Easter eggs hidden in the backyard.  20 eggs are colored red, 14 eggs are colored blue, 15 eggs are colored green, 16 eggs are colored brown, 17 eggs are colored yellow and 18 eggs are colored orange.  All of these eggs are wrapped with golden wrappers.  What is the minimum number of eggs that you should find so that you are sure that you have at least 2 pairs of similarly colored eggs.  For example, 2 red eggs and 2 blue eggs.  You can also have 2 yellow eggs together with another set of 2 yellow eggs.


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Easter is celebrated annually on the first Sunday, after the first full moon, after the spring equinox.  Thus, Easter has to occur between the dates March 21 and April 25.


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