Difference between revisions of "2003 AIME I Problems/Problem 13"

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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [[2003 AIME I Problems/Problem 12 | Previous problem]]
 
* [[2003 AIME I Problems/Problem 12 | Previous problem]]
 
* [[2003 AIME I Problems/Problem 14 | Next problem]]
 
* [[2003 AIME I Problems/Problem 14 | Next problem]]
 
* [[2003 AIME I Problems]]
 
* [[2003 AIME I Problems]]

Revision as of 23:22, 4 November 2006

Problem

Let $N$ be the number of positive integers that are less than or equal to 2003 and whose base-2 representation has more 1's than 0's. Find the remainder when $N$ is divided by 1000.

Solution

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See also