{"id":23811,"date":"2021-10-03T20:31:32","date_gmt":"2021-10-03T15:01:32","guid":{"rendered":"https:\/\/python-programs.com\/?p=23811"},"modified":"2021-11-22T18:33:25","modified_gmt":"2021-11-22T13:03:25","slug":"python-program-for-pythagorean-quadruple","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-pythagorean-quadruple\/","title":{"rendered":"Python Program for Pythagorean Quadruple"},"content":{"rendered":"<p>Given four points, the task is to check if the given four points form quadruple in python.<\/p>\n<p><strong>Quadruple:<\/strong><\/p>\n<p>It is defined as a tuple of integers a, b, c, and d such that a<sup>2<\/sup> + b<sup>2<\/sup>\u00a0 + c<sup>2<\/sup>\u00a0= d<sup>2<\/sup>. They are, in fact, Diophantine Equations solutions. It represents a cuboid with integer side lengths |a|, |b|, and |c| and a space diagonal of |d| in the geometric interpretation.<\/p>\n<blockquote><p><strong>Condition to check Quadruple = a<sup>2<\/sup> + b<sup>2<\/sup>\u00a0 + c<sup>2<\/sup>\u00a0= d<sup>2<\/sup><\/strong><\/p>\n<p>where a, b, c, d are the given four points.<\/p><\/blockquote>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given first point = 6\r\nGiven second point = 2\r\nGiven third point = 3\r\nGiven fourth point = 7<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given four points { 6 , 2 , 3 , 7 } forms a quadruple<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given first point = 9\r\nGiven second point = 2\r\nGiven third point = 6 \r\nGiven fourth point = 11<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The given four points { 9 , 2 , 6 , 11 } forms a quadruple<\/pre>\n<h2>Program for Pythagorean Quadruple in Python<\/h2>\n<p>Below are the ways to check if the given four points form quadruple in python:<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the first number as static input and store it in a variable.<\/li>\n<li>Give the second number as static input and store it in another variable.<\/li>\n<li>Give the third number as static input and store it in another variable.<\/li>\n<li>Give the fourth number as static input and store it in another variable.<\/li>\n<li>Calculate the sum of squares of the given three numbers using the above given mathematical formula and store it in another variable.<\/li>\n<li>Check if the above result sum is equal to the square of the fourth number using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The given four points forms a quadruple&#8221;.<\/li>\n<li>Else print\u00a0&#8220;The given four points do not form a quadruple&#8221;.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the first number as static input and store it in a variable.\r\np = 6\r\n# Give the second number as static input and store it in another variable.\r\nq = 2\r\n# Give the third number as static input and store it in another variable.\r\nr = 3\r\n# Give the fourth number as static input and store it in another variable.\r\ns = 7\r\n# Calculate the sum of squares of the given three numbers\u00a0using the above given\r\n# mathematical formula and store it in another variable.\r\nrslt_sum = p * p + q * q + r * r\r\n# Check if the above result sum is equal to the square of the fourth number\u00a0\r\n# using the if conditional statement.\r\nif (s * s == rslt_sum):\r\n    # If it is true, then print \"The given four points forms a quadruple\".\r\n    print(\"The given four points {\", p, \",\", q,\r\n          \",\", r, \",\", s, \"} forms a quadruple\")\r\n# Else print \"The given four points do not form a quadruple\".\r\nelse:\r\n    print(\"The given four points {\", p, \",\", q,\r\n          \",\", r, \",\", s, \"} do not form a quadruple\")\r\n<\/pre>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\"># include &lt;iostream&gt;\r\n\r\nusing namespace std\r\n\r\nint main() {\r\n    double p = 6\r\n    double q = 12\r\n    double r = 3\r\n    double s = 7\r\n    double rslt_sum = p * p + q * q + r * r\r\n    if ((s * s == rslt_sum)) {\r\n        cout &lt;&lt; \"The given four points {\" &lt;&lt; p &lt;&lt; \",\" &lt;&lt; q &lt;&lt; \",\" &lt;&lt; r &lt;&lt; \",\" &lt;&lt; s &lt;&lt; \"} forms a quadruple\" &lt;&lt; endl\r\n    }\r\n    else {\r\n        cout &lt;&lt; \"The given four points {\" &lt;&lt; p &lt;&lt; \",\" &lt;&lt; q &lt;&lt; \",\" &lt;&lt; r &lt;&lt; \",\" &lt;&lt; s &lt;&lt; \"} do not form a quadruple\" &lt;&lt; endl\r\n    }\r\n\r\n}\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given four points { 6 , 2 , 3 , 7 } forms a quadruple<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the first number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the second number as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Give the third number as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Give the fourth number as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Calculate the sum of squares of the given three numbers using the above given mathematical formula and store it in another variable.<\/li>\n<li>Check if the above result sum is equal to the square of the fourth number using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The given four points forms a quadruple&#8221;.<\/li>\n<li>Else print\u00a0&#8220;The given four points do not form a quadruple&#8221;.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the first number as user input using the int(input()) function and store it in a variable.\r\np = int(input(\"Enter some random number = \"))\r\n# Give the second number as user input using the int(input()) function and store it in another variable.\r\nq = int(input(\"Enter some random number = \"))\r\n# Give the third number as user input using the int(input()) function and store it in another variable.\r\nr = int(input(\"Enter some random number = \"))\r\n# Give the fourth number as user input using the int(input()) function and store it in another variable.\r\ns = int(input(\"Enter some random number = \"))\r\n# Calculate the sum of squares of the given first three numbers using the above given\r\n# mathematical formula and store it in another variable.\r\nrslt_sum = p * p + q * q + r * r\r\n# Check if the above result sum is equal to the square of the fourth number\r\n# using the if conditional statement.\r\nif (s * s == rslt_sum):\r\n    # If it is true, then print \"The given four points forms a quadruple\".\r\n    print(\"The given four points {\", p, \",\", q,\r\n          \",\", r, \",\", s, \"} forms a quadruple\")\r\n# Else print \"The given four points do not form a quadruple\".\r\nelse:\r\n    print(\"The given four points {\", p, \",\", q,\r\n          \",\", r, \",\", s, \"} do not form a quadruple\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 9\r\nEnter some random number = 2\r\nEnter some random number = 6\r\nEnter some random number = 11\r\nThe given four points { 9 , 2 , 6 , 11 } forms a quadruple<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Given four points, the task is to check if the given four points form quadruple in python. Quadruple: It is defined as a tuple of integers a, b, c, and d such that a2 + b2\u00a0 + c2\u00a0= d2. They are, in fact, Diophantine Equations solutions. It represents a cuboid with integer side lengths |a|, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-pythagorean-quadruple\/\"> <span class=\"screen-reader-text\">Python Program for Pythagorean Quadruple<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23823,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Pythagorean Quadruple - Python Programs<\/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:\/\/python-programs.com\/python-program-for-pythagorean-quadruple\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Pythagorean Quadruple - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Given four points, the task is to check if the given four points form quadruple in python. Quadruple: It is defined as a tuple of integers a, b, c, and d such that a2 + b2\u00a0 + c2\u00a0= d2. They are, in fact, Diophantine Equations solutions. 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