{"id":319,"date":"2014-02-02T21:33:45","date_gmt":"2014-02-02T21:33:45","guid":{"rendered":"http:\/\/www.smr.co.uk\/?p=319"},"modified":"2014-02-02T21:33:45","modified_gmt":"2014-02-02T21:33:45","slug":"big-o-times","status":"publish","type":"post","link":"http:\/\/www.smr.co.uk\/?p=319","title":{"rendered":"Big O Times"},"content":{"rendered":"<table width=\"688\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<colgroup>\n<col width=\"75\" \/>\n<col width=\"71\" \/>\n<col width=\"72\" \/>\n<col width=\"73\" \/>\n<col width=\"76\" \/>\n<col width=\"106\" \/>\n<col width=\"109\" \/>\n<col width=\"106\" \/> <\/colgroup>\n<tbody>\n<tr>\n<td width=\"75\" height=\"15\"><strong>n<\/strong><\/td>\n<td width=\"71\"><strong>O(1)<\/strong><\/td>\n<td width=\"72\"><strong>O(log(n))<\/strong><\/td>\n<td width=\"73\"><strong>O(n)<\/strong><\/td>\n<td width=\"76\"><strong>O(n log(n))<\/strong><\/td>\n<td width=\"106\"><strong>O(N^2)<\/strong><\/td>\n<td width=\"109\"><strong>O(2^N)<\/strong><\/td>\n<td width=\"106\"><strong>O(N!)<\/strong><\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">1<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">0.0<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">0.0<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">2<\/td>\n<td align=\"right\">1<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">5<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">0.7<\/td>\n<td align=\"right\">5<\/td>\n<td align=\"right\">3.5<\/td>\n<td align=\"right\">25<\/td>\n<td align=\"right\">32<\/td>\n<td align=\"right\">120<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">10<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">1.0<\/td>\n<td align=\"right\">10<\/td>\n<td align=\"right\">10.0<\/td>\n<td align=\"right\">100<\/td>\n<td align=\"right\">1024<\/td>\n<td align=\"right\">3628800<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">25<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">1.4<\/td>\n<td align=\"right\">25<\/td>\n<td align=\"right\">34.9<\/td>\n<td align=\"right\">625<\/td>\n<td align=\"right\">33554432<\/td>\n<td align=\"right\">1.55112E+25<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">50<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">1.7<\/td>\n<td align=\"right\">50<\/td>\n<td align=\"right\">84.9<\/td>\n<td align=\"right\">2,500<\/td>\n<td align=\"right\">1.1259E+15<\/td>\n<td align=\"right\">3.04141E+64<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">100<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">2.0<\/td>\n<td align=\"right\">100<\/td>\n<td align=\"right\">200.0<\/td>\n<td align=\"right\">10,000<\/td>\n<td align=\"right\">1.26765E+30<\/td>\n<td align=\"right\">9.3326E+157<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">500<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">2.7<\/td>\n<td align=\"right\">500<\/td>\n<td align=\"right\">1,349.5<\/td>\n<td align=\"right\">250,000<\/td>\n<td align=\"right\">3.2734E+150<\/td>\n<td>too large for excel<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">1000<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">3.0<\/td>\n<td align=\"right\">1,000<\/td>\n<td align=\"right\">3,000.0<\/td>\n<td align=\"right\">1,000,000<\/td>\n<td align=\"right\">1.0715E+301<\/td>\n<td>too large for excel<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">10000<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">4.0<\/td>\n<td align=\"right\">10,000<\/td>\n<td align=\"right\">40,000.0<\/td>\n<td align=\"right\">100,000,000<\/td>\n<td>too large for excel<\/td>\n<td>too large for excel<\/td>\n<\/tr>\n<tr>\n<td align=\"right\" height=\"15\">100000<\/td>\n<td align=\"right\">1<\/td>\n<td align=\"right\">5.0<\/td>\n<td align=\"right\">100,000<\/td>\n<td align=\"right\">500,000.0<\/td>\n<td align=\"right\">10,000,000,000<\/td>\n<td>too large for excel<\/td>\n<td>too large for excel<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>n O(1) O(log(n)) O(n) O(n log(n)) O(N^2) O(2^N) O(N!) 1 1 0.0 1 0.0 1 2 1 5 1 0.7 5 3.5 25 32 120 10 1 1.0 10 10.0 100 1024 3628800 25 1 1.4 25 34.9 625 33554432 &hellip; 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