{"id":12890,"date":"2022-10-02T08:27:29","date_gmt":"2022-10-02T02:57:29","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-smallest-positive-number-in-a-vector-recursively\/"},"modified":"2022-10-02T08:27:29","modified_gmt":"2022-10-02T02:57:29","slug":"solved-smallest-positive-number-in-a-vector-recursively","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-smallest-positive-number-in-a-vector-recursively\/","title":{"rendered":"[Solved] Smallest positive number in a vector recursively"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-49360239\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"49360239\" data-parentid=\"49360036\" data-score=\"2\" 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<pre><code>def SPN(nums, s):\n  if s == 0:\n    # Empty array\n    return +\u221e\n  if nums[s-1] &gt; 0:\n    # num[s] is admissible, recurse and keep the smallest\n    return min(nums[s-1], SPN(nums, s-1))\n  else:\n    # Just recurse\n    return SPN(nums, s-1)\n\nprint SPN(nums, len(nums)\n<\/code><\/pre>\n<p>The c++ version: <\/p>\n<pre><code>#include &lt;vector&gt;\nusing namespace std;\nint rec_min_pos(const vector&lt;int&gt; &amp; nums, int size) {\n    if (size &lt; 1) {\n        return INT_MAX;\n    }\n    if(nums[size-1] &gt; 0){\n        return min(nums[size-1], rec_min_pos(nums, size-1));\n    }\n    else{\n        return rec_min_pos(nums, size-1);\n    }\n}\n<\/code><\/pre>\n<hr>\n<p><strong>Update:<\/strong><\/p>\n<p>Assuming that reserving <code>INT_MAX<\/code> is not allowed to represent +\u221e, we can use a negative instead, say <code>-1<\/code>, with the convention that <code>min(x,-1) = x<\/code>.<\/p>\n<pre><code>Infty= -1 # Conventional +\u221e\n\ndef Min(a, b):\n  if b == Infty:\n    return a\n  else:\n    return min(a, b)\n\ndef SPN(nums, s):\n  if s == 0:\n    # Empty array\n    return Infty \n  if nums[s-1] &gt; 0:\n    # num[s] is admissible, recurse and keep the smallest\n    return Min(nums[s-1], SPN(nums, s-1))\n  else:\n    # Just recurse\n    return SPN(nums, s-1)\n<\/code><\/pre>\n<p>That leads us to a more elegant version if we use the convention that any negative value represents +\u221e:<\/p>\n<pre><code>def Min(a, b):\n  if a &lt; 0:\n    return b\n  if b &lt; 0:\n    return a\n  return min(a, b)\n\ndef SPN(nums, s):\n  if s == 1:\n    return nums[0] # Assumes len(nums) &gt; 0\n\n  return Min(nums[s-1], SPN(nums, s-1))\n<\/code><\/pre>\n<p>Elegant version in C++:<\/p>\n<pre><code>#include &lt;vector&gt;\nusing namespace std;\nint minimum(int a, int b){\n    if(a &lt; 0){\n        return b;\n    }\n    if(b &lt; 0){\n        return a;\n    }\n    return min(a, b);\n}\nint SPN(vector&lt;int&gt; nums, int size){\n    if(size == 1){\n        return nums[0];\n    }\n    return minimum(nums[size-1], SPN(nums, size-1));\n}\n<\/code><\/pre>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">21<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Smallest positive number in a vector recursively <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] def SPN(nums, s): if s == 0: # Empty array return +\u221e if nums[s-1] &gt; 0: # num[s] is admissible, recurse and keep the smallest return min(nums[s-1], SPN(nums, s-1)) else: # Just recurse return SPN(nums, s-1) print SPN(nums, len(nums) The c++ version: #include &lt;vector&gt; using namespace std; int rec_min_pos(const vector&lt;int&gt; &amp; nums, int size) &#8230; <a title=\"[Solved] Smallest positive number in a vector recursively\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-smallest-positive-number-in-a-vector-recursively\/\" aria-label=\"More on [Solved] Smallest positive number in a vector recursively\">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":[324,494],"class_list":["post-12890","post","type-post","status-publish","format-standard","hentry","category-solved","tag-c","tag-recursion"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Smallest positive number in a vector recursively - 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-smallest-positive-number-in-a-vector-recursively\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Smallest positive number in a vector recursively - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] def SPN(nums, s): if s == 0: # Empty array return +\u221e if nums[s-1] &gt; 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