{"id":515,"date":"2012-08-02T13:14:48","date_gmt":"2012-08-02T17:14:48","guid":{"rendered":"http:\/\/www.joshho.com\/blog\/?p=515"},"modified":"2012-09-07T16:13:51","modified_gmt":"2012-09-07T20:13:51","slug":"project-euler-problem-29","status":"publish","type":"post","link":"https:\/\/www.joshho.com\/blog\/2012\/08\/02\/project-euler-problem-29\/","title":{"rendered":"Project Euler &#8211; Problem 29"},"content":{"rendered":"<p>Problem 29: How many distinct terms are in the sequence generated by ab for 2 \u2264 a \u2264 100 and 2 \u2264 b \u2264 100?<br \/>\n<!--more--><br \/>\n<code><\/p>\n<pre lang='java'>\r\nimport java.math.BigInteger;\r\nimport java.util.HashSet;\r\n\r\nclass runner\r\n{\r\n\tpublic static void main (String[] args) throws java.lang.Exception\r\n\t{\r\n\t\tlong time = System.currentTimeMillis();\r\n\t\tHashSet<BigInteger> distinct = new HashSet<BigInteger>(); \r\n\t\t\r\n\t\tfor(int a=2;a<=100;a++){\r\n\t\t\tfor(int b=2;b<=100;b++){\r\n\t\t\t\tBigInteger prod = new BigInteger(\"\"+a);\r\n\t\t\t\tdistinct.add(prod.pow(b));\r\n\t\t\t}\r\n\t\t}\r\n\t\t\r\n\t\tSystem.out.println(distinct.size());\r\n\t\tSystem.out.println(\"time:\"+(System.currentTimeMillis()-time));\r\n\t}\r\n}\r\n<\/pre>\n<p><\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 29: How many distinct terms are in the sequence generated by ab for 2 \u2264 a \u2264 100 and 2 \u2264 b \u2264 100?<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[56],"tags":[],"_links":{"self":[{"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/posts\/515"}],"collection":[{"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/comments?post=515"}],"version-history":[{"count":0,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/posts\/515\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/media?parent=515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/categories?post=515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/tags?post=515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}