{"id":33888,"date":"2023-02-15T11:25:48","date_gmt":"2023-02-15T05:55:48","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-calculate-the-sum-with-minimum-usage-of-numbers\/"},"modified":"2023-02-15T11:25:48","modified_gmt":"2023-02-15T05:55:48","slug":"solved-calculate-the-sum-with-minimum-usage-of-numbers","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-calculate-the-sum-with-minimum-usage-of-numbers\/","title":{"rendered":"[Solved] Calculate the sum with minimum usage of numbers"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-45141822\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"45141822\" data-parentid=\"45141746\" data-score=\"10\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>Here&#8217;s a hint:<\/p>\n<blockquote>\n<p>2<strong>3<\/strong> : 1<strong>1<\/strong> + 1<strong>1<\/strong>+ <strong>1<\/strong> ( <strong>3<\/strong>  magic numbers)<\/p>\n<p>1<strong>2<\/strong>0: 1<strong>1<\/strong>0+ <strong>1<\/strong>0 (<strong>2<\/strong> magic numbers)<\/p>\n<\/blockquote>\n<p>The highest digit in the target number is the answer, since you need exactly <code>k<\/code> magic numbers (all having 1 in the relevant position) in order for the sum to contain the digit <code>k<\/code>.<\/p>\n<p>So the algorithm would start by splitting the target sum into digits. For example, if the input is 3052, you should create the following array:<\/p>\n<pre><code>int[] digits = {3,0,5,2};\n<\/code><\/pre>\n<p>While you split the target sum into digits, you can also find the largest digit.<\/p>\n<pre><code>int max = 5;\n<\/code><\/pre>\n<p>Now we know we need 5 magic numbers, and all that remains is actually finding them. You can do so by iterating over the array of the digits <code>max<\/code> times.<\/p>\n<p>In each iteration you create a single magic number whose <code>1<\/code> digits correspond with positive values of the array. You also decrement those values.<\/p>\n<p>1st iteration:<\/p>\n<pre><code>3,0,5,2 -&gt;  create magic number 1011 &amp; decrement the array values to 2,0,4,1\n<\/code><\/pre>\n<p>2nd iteration:<\/p>\n<pre><code>2,0,4,1 -&gt;  create magic number 1011 &amp; decrement the array values to 1,0,3,0\n<\/code><\/pre>\n<p>3rd iteration:<\/p>\n<pre><code>1,0,3,0 -&gt;  create magic number 1010 &amp; decrement the array values to 0,0,2,0\n<\/code><\/pre>\n<p>4th iteration:<\/p>\n<pre><code>0,0,2,0 -&gt;  create magic number   10 &amp; decrement the array values to 0,0,1,0\n<\/code><\/pre>\n<p>5th iteration:<\/p>\n<pre><code>0,0,1,0 -&gt;  create magic number   10 &amp; decrement the array values to 0,0,0,0\n<\/code><\/pre>\n<p>We are done, the magic numbers are 1011 + 1011 + 1010 + 10 + 10 = 3052.<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">4<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Calculate the sum with minimum usage of numbers <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Here&#8217;s a hint: 23 : 11 + 11+ 1 ( 3 magic numbers) 120: 110+ 10 (2 magic numbers) The highest digit in the target number is the answer, since you need exactly k magic numbers (all having 1 in the relevant position) in order for the sum to contain the digit k. So &#8230; <a title=\"[Solved] Calculate the sum with minimum usage of numbers\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-calculate-the-sum-with-minimum-usage-of-numbers\/\" aria-label=\"More on [Solved] Calculate the sum with minimum usage of numbers\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[457],"class_list":["post-33888","post","type-post","status-publish","format-standard","hentry","category-solved","tag-algorithm"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Calculate the sum with minimum usage of numbers - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-calculate-the-sum-with-minimum-usage-of-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Calculate the sum with minimum usage of numbers - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] Here&#8217;s a hint: 23 : 11 + 11+ 1 ( 3 magic numbers) 120: 110+ 10 (2 magic numbers) The highest digit in the target number is the answer, since you need exactly k magic numbers (all having 1 in the relevant position) in order for the sum to contain the digit k. 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