document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919992>Question 919992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If x>4, f(x,y)=(x-4,y). If x<=4 but y>4, f(x,y)=(x,y-4). Otherwise, f(x,y)=(x+5,y+6). A robot starts by moving to the point (1,1). Every time it arrives at a point (x,y), it applies f to that point and then moves to f(x,y). If the robot runs forever, how many different points will it visit? \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558471 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sequence of points visited is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(1,1), (6,7), (2,7), (2,3), (7,9), (3,9), (3,5), (3,1), (8,7), (4,7), (4,3), (9,9), (5,9), (1,9), (1,5), (1,1), ... (repeats indefinitely)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "16 points are visited.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );