{"id":620,"date":"2012-08-09T15:48:41","date_gmt":"2012-08-09T19:48:41","guid":{"rendered":"http:\/\/www.joshho.com\/blog\/?p=620"},"modified":"2012-09-07T16:05:37","modified_gmt":"2012-09-07T20:05:37","slug":"project-euler-problem-56","status":"publish","type":"post","link":"https:\/\/www.joshho.com\/blog\/2012\/08\/09\/project-euler-problem-56\/","title":{"rendered":"Project Euler &#8211; Problem 56"},"content":{"rendered":"<p>Problem 56: Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum?\n\nDigital sum, ie: 47 = 4+7=11\n<!--more--><br \/>\n<code><\/p>\n<pre lang='java'>\r\npackage runner;\r\n\r\nimport java.math.BigInteger;\r\n\r\nclass runner\r\n{\t\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\t\r\n\t\tint lsum = 0;\r\n\t\tfor(int a=2;a<100;a++){\r\n\t\t\tBigInteger b_a = new BigInteger(\"\"+a);\r\n\t\t\tfor(int b=2;b<100;b++){\r\n\t\t\t\tBigInteger pow = b_a.pow(b);\r\n\t\t\t\tString powStr = pow.toString();\r\n\t\t\t\tint sum = 0;\r\n\t\t\t\tfor(int i=0;i<powStr.length();i++){\r\n\t\t\t\t\tsum += powStr.charAt(i);\r\n\t\t\t\t}\r\n\t\t\t\tsum-=48*powStr.length();\r\n\t\t\t\t\r\n\t\t\t\tif(lsum < sum) lsum = sum;\r\n\t\t\t}\r\n\t\t}\r\n\t\tSystem.out.println(\"lsum:\"+lsum);\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 56: Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum?\n\nDigital sum, ie: 47 = 4+7=11\n\n<\/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\/620"}],"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=620"}],"version-history":[{"count":0,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/posts\/620\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/media?parent=620"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/categories?post=620"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.joshho.com\/blog\/wp-json\/wp\/v2\/tags?post=620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}