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Heat oven to 350 degrees.
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In bowl, mix flour, cocoa and salt.
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In large bowl, beat sugar, butter and egg until creamy.
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Stir in flour mixture.
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Shape dough into 36 balls of 2 t each.
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Refrigerate for awhile if dough is too soft to work with.
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Place balls 1 inch apart on ungreased baking sheets.
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Make indent in center of each with thumb.
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Bake at 350 degrees for 14 minutes, until set.
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Cool on wire racks.
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In bowl, stir 1 cup of the confectioners' sugar with 3 1/2 teaspoons water.
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Transfer to a plastic bag and snip a small corner from the bag.
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Drizzle icing over cooled cookies, let dry.
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Beat remaining 1/2 cup confectioners' sugar and cream cheese until smooth.
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Beat in chocolate.
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Transfer to a plastic bag.
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Snip off corner of bag; fill centers of cookies.