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6
2004 General, part 2 #6
2004 General, part 2 #6
Source:
March 8, 2024
number theory
Problem Statement
a
a
a
and
b
b
b
are positive integers. When written in binary,
a
a
a
has
2004
2004
2004
1
1
1
's, and
b
b
b
has
2005
2005
2005
1
1
1
's (not necessarily consecutive). What is the smallest number of
1
1
1
's
a
+
b
a + b
a
+
b
could possibly have?
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