document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208643>Question 1208643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We call a number cozy if every digit in the number is either a $3$ or next to a $3.$  For example, the numbers $333,$ $83,$ $303,$ and $3773$ are all cozy, but the numbers $32423,$ $786,$ $340,$ and $3999$ are not cozy.\r<BR>\n" );
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document.write( "How many positive $10$-digit numbers are cozy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847686 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The logic in the solution by @CPhill is INCORRECT.\r<BR>\n" );
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document.write( "Therefore, the entire solution and the answer both are incorrect.\r<BR>\n" );
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