IMC - International Mathematics Competition for University Students

<!DOCTYPE html> <html> <head> <title>IMC - International Mathematics Competition for University Students</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta name="norton-safeweb-site-verification" content="3732244zv9b6tvr1x2g73td32x8kzndmhy1d-2g6rytm5au-f-mnofp35zdcc45f12ra7g08sxy520y07h040hl5l31fjm80ljido1n74jfwl-j4atcpipqwwq8lr3st" /> <meta name="keywords" content="mathematics,competition,IMC,london,prague,UCL,plovdiv,blagoevgrad,mathematics competition" /> <meta name="author" content="C Jayne" /> <meta name="revisit-after" content="7 days" /> <meta name="robots" content="all" /> <meta name="keywords" content="keyword1, keyword2,nsw-3732244zv9b6tvr1x2g73td32x8kzndmhy1d-2g6rytm5au-f-mnofp35zdcc45f12ra7g08sxy520y07h040hl5l31fjm80ljido1n74jfwl-j4atcpipqwwq8lr3st"/> <meta name="viewport" content="width=device-width, initial-scale=1"> <meta http-equiv="X-UA-Compatible" content="IE=edge" /> <link rel="stylesheet" type="text/css" href="imc_site.css" /> <link 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"{\\mathrm d}\theta", eps: "\varepsilon", vv: ["\\overrightarrow{#1}",1], vec: ["\\overrightarrow{#1}",1] } }, "html-CSS": { preferredFont: "STIX", scale: 90 }, "CommonHTMLa": { preferredFont: "STIX", scale: 100 } }); MathJax.Hub.Config({ TeX: { extensions: ["color.js"] }}); </script> </head> <body> <table border=0 cellpadding=0 cellspacing=0 bgcolor="#ffffff" width="100%"><tr><td> <table width="100%"> <tr> <td class="logo"> <a href="http://www.imc-math.org.uk"><img src="images/imc-logo.jpg" width="92" height="113" border=0></a> </td> <td align="center" valign="center"><h1><font size="+3" color="red">International Mathematics Competition<br /> for University Students <br />2007?year=2007</font> </h1> </td> <td class="contentb"> <form action="/" method="get"> Select Year:<br /> <select name="year" onchange="this.form.submit()"> <option value=2025>2025</option><option value=2024>2024</option><option value=2023>2023</option><option value=2022>2022</option><option value=2021>2021</option><option value=2020>2020</option><option value=2019>2019</option><option value=2018>2018</option><option value=2017>2017</option><option value=2016>2016</option><option value=2015>2015</option><option value=2014>2014</option><option value=2013>2013</option><option value=2012>2012</option><option value=2011>2011</option><option value=2010>2010</option><option value=2009>2009</option><option value=2008>2008</option><option value=2007 selected>2007</option><option value=2006>2006</option><option value=2005>2005</option><option value=2004>2004</option><option value=2003>2003</option><option value=2002>2002</option><option value=2001>2001</option><option value=2000>2000</option><option value=1999>1999</option><option value=1998>1998</option><option value=1997>1997</option><option value=1996>1996</option><option value=1995>1995</option><option value=1994>1994</option></select> <input type="submit" value="Go"> </form><br /><br /> <a href="http://www.imc-math.org.uk">IMC 2025</a> </td> </tr> </table> <table border=0 cellpadding=0 cellspacing=0 bgcolor="#ffffff" width="100%"><tr> <td class='tab2Selected' align='left' valign='center' width='19%'> <a href="/?year=2007?year=2007&item=info">Information</a><br /> </td><td width='2%'> </td><td class='tab2' align='left' valign='center' width='19%'> <a href="/?year=2007?year=2007&item=results">Results</a><br /> </td><td width='2%'> </td><td class='tab2' align='left' valign='center' width='19%'> <a href="/?year=2007?year=2007&item=problems">Problems & Solutions</a><br /> </td><td width='2%'> </td><td class='tab2' align='left' valign='center' width='19%'> <a href="/?year=2007?year=2007&item=photos">Photos</a><br /> </td><td width='2%'> </td></tr></table> </td></tr><tr><td> <br/> </td></tr><tr><td>  <table border=0 cellpadding=0 cellspacing=0 background="https://imc-math.org.uk/images/sky.jpeg" width="100%"><tr> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1994">IMC<br/>1994 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1995">IMC<br/>1995 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1996">IMC<br/>1996 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1997">IMC<br/>1997 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1998">IMC<br/>1998 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=1999">IMC<br/>1999 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2000">IMC<br/>2000 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2001">IMC<br/>2001 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2002">IMC<br/>2002 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2003">IMC<br/>2003 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2004">IMC<br/>2004 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2005">IMC<br/>2005 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2006">IMC<br/>2006 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footerhigh" width="74"><a href="/?year=2007?year=2007">IMC <br/>2007?year=2007</a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2008">IMC<br/>2008 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2009">IMC<br/>2009 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2010">IMC<br/>2010 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2011">IMC<br/>2011 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2012">IMC<br/>2012 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2013">IMC<br/>2013 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2014">IMC<br/>2014 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2015">IMC<br/>2015 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2016">IMC<br/>2016 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2017">IMC<br/>2017 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2018">IMC<br/>2018 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2019">IMC<br/>2019 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2020">IMC<br/>2020 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2021">IMC<br/>2021 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2022">IMC<br/>2022 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2023">IMC<br/>2023 </a></td> <td width="2"><img src="images/tab_separator.gif" width="2" height="32"></td> <td class="footer" width="74"><a href="/?year=2024">IMC<br/>2024 </a></td> <td width="2"><img src="images/tab_separator.gif" width=2 height=32></td> </tr></table> <div class="contentb" id="leftcolumn"> <br/>© IMC </div> <div class="contentb" id="rightcolumn"> <br/> </div>  </td></tr></table>   <script> (function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){ 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IMC - International Mathematics Competition for University Students