document.write( "Question 596598: I need to fill unit orders between 1 and 1000 pieces of candy. I only have 10 different bag sizes. How many pieces should be in each bag to fill any quantity ordered between 1 and 1000 without using two of any size? \n" ); document.write( "
Algebra.Com's Answer #377812 by richard1234(7193)\"\" \"About 
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Use ten bags that can hold 1, 2, 4, 8, ..., 512 pieces of candy. This is because every integer has a unique binary representation (e.g. 683 = 1010101111, 512+128+32+8+4+2+1). By using ten bags, you can hold any amount up to 1023 (2^10 - 1) pieces of candy. \n" ); document.write( "
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