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The Secretary's Assignment

Nancy needs 7 box.  In these boxes she should put in the following numbers of gifts respectively: 1, 2, 4, 8, 16, 32, 64, a total of 127.

If the boss needs, say, 82 gifts, Nancy could hand him the box containing 2 gifts, the box containing 16 gifts, and the box containing 64 gifts.  With various combinations of these seven boxes, Nancy can readily meet the request for any number of gifts 1 to 127.

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