{"id":22961,"date":"2021-09-29T20:14:41","date_gmt":"2021-09-29T14:44:41","guid":{"rendered":"https:\/\/python-programs.com\/?p=22961"},"modified":"2021-11-22T18:35:34","modified_gmt":"2021-11-22T13:05:34","slug":"python-program-for-minimum-perimeter-of-n-blocks","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-minimum-perimeter-of-n-blocks\/","title":{"rendered":"Python Program for Minimum Perimeter of n Blocks"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-sector\/\">Python Program To Find Area of a Circular Sector<\/a><br \/>\nGiven n blocks of size 1*1, the task is to find the minimum perimeter of the grid made by these given n blocks in python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given n value = 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The minimum perimeter of the grid made by the given n blocks{ 6 } =  11<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given n value = 9<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The minimum perimeter of the grid made by the given n blocks{ 9 } =  12<\/pre>\n<h2>Program for Minimum Perimeter of n Blocks in Python<\/h2>\n<p>Below are the ways to find the minimum perimeter of the grid made by these given n blocks in python:<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Approach (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Approach (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Approach (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the n value as static input and store it in a variable.<\/li>\n<li>Create a function to say <strong>Minimum_perimtr()<\/strong> which takes the given n value as an argument and returns the minimum perimeter of the grid made by these given n blocks.<\/li>\n<li>Calculate the square root of the given n value using the math.sqrt() function and store it in a variable say <strong>sqrt_val.<\/strong><\/li>\n<li>Multiply the above result with itself and store it in another variable.<\/li>\n<li>Check if the given n value is a perfect square by using the if conditional statement.<\/li>\n<li>If it is true, then return the value of above <strong>sqrt_val <\/strong>multiplied by 4.<\/li>\n<li>Else calculate the number of rows by dividing the given n value by <strong>sqrt_val.<\/strong><\/li>\n<li>Add the above <strong>sqrt_val <\/strong>with the number of rows obtained and multiply the result by 2 to get the perimeter of the rectangular grid.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Check whether there are any blocks left using the if conditional statement.<\/li>\n<li>If it is true, then add 2 to the above-obtained perimeter of the rectangular grid and store it in the same variable.<\/li>\n<li>Return the minimum perimeter of the grid made by the given n blocks.<\/li>\n<li>Pass the given n value as an argument to the <strong>Minimum_perimtr<\/strong><strong>()\u00a0<\/strong>function, convert it into an integer using the int() function and store it in another variable.<\/li>\n<li>Print the above result which is the minimum perimeter of the grid made by the given n blocks.<\/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\"># Import math module using the import keyword.\r\nimport math\r\n\r\n# Create a function to say Minimum_perimtr() which takes the given n value as an\r\n# argument and returns the minimum perimeter of the grid made by these given n blocks.\r\n\r\n\r\ndef Minimum_perimtr(gvn_n_val):\r\n    # Calculate the square root of the given n value using the math.sqrt() function\r\n    # and store it in a variable say sqrt_val.\r\n    sqrt_val = math.sqrt(gvn_n_val)\r\n    # Multiply the above result with itself and store it in another variable.\r\n    sqre_rslt = sqrt_val * sqrt_val\r\n\r\n    # Check if the given n value is a perfect square by using the if\r\n    # conditional statement.\r\n    if (sqre_rslt == gvn_n_val):\r\n        # If it is true, then return the value of above sqrt_val multiplied by 4.\r\n        return sqrt_val * 4\r\n    else:\r\n        # Else calculate the number of rows by dividing the given n value by sqrt_val.\r\n        no_of_rows = gvn_n_val \/ sqrt_val\r\n\r\n        # Add the above sqrt_val with the number of rows obtained and multiply the result\r\n        # by 2 to get the perimeter of the rectangular grid.\r\n        # Store it in another variable.\r\n        rslt_perimetr = 2 * (sqrt_val + no_of_rows)\r\n\r\n        # Check whether there are any blocks left using the if conditional statement.\r\n        if (gvn_n_val % sqrt_val != 0):\r\n            # If it is true, then add 2 to the above-obtained perimeter of the rectangular\r\n                    # grid and store it in the same variable.\r\n            rslt_perimetr += 2\r\n        # Return the minimum perimeter of the grid made by the given n blocks.\r\n        return rslt_perimetr\r\n\r\n\r\n# Give the n value as static input and store it in a variable.\r\ngvn_n_val = 6\r\n# Pass the given n value as an argument to the Minimum_perimtr()\u00a0function, convert\r\n# it into an integer using the int() function and store it in another variable.\r\nfnl_rslt = int(Minimum_perimtr(gvn_n_val))\r\n# Print the above result which is the minimum perimeter of the grid made by the\r\n# given n blocks.\r\nprint(\r\n    \"The minimum perimeter of the grid made by the given n blocks{\", gvn_n_val, \"} = \", fnl_rslt)\r\n<\/pre>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#include &lt;iostream&gt;\r\n#include&lt;math.h&gt;\r\nusing namespace std;\r\nint Minimum_perimtr ( int gvn_n_val ) {\r\n  int sqrt_val = sqrt ( gvn_n_val );\r\n  int sqre_rslt = sqrt_val * sqrt_val;\r\n  if (  sqre_rslt == gvn_n_val  ) {\r\n    return sqrt_val * 4;\r\n  }\r\n  else {\r\n    int no_of_rows = gvn_n_val \/ sqrt_val;\r\n    int rslt_perimetr = 2 * ( sqrt_val + no_of_rows );\r\n    if ( ( gvn_n_val % sqrt_val != 0 )  ) {\r\n      rslt_perimetr += 2;\r\n    }\r\n    return rslt_perimetr;\r\n  }\r\n}\r\nint main() {\r\n   int gvn_n_val = 6;\r\n int fnl_rslt = ( int ) Minimum_perimtr ( gvn_n_val );\r\n  cout &lt;&lt; \"The minimum perimeter of the grid made by the given n blocks{\" &lt;&lt; gvn_n_val &lt;&lt; \"} = \" &lt;&lt; fnl_rslt &lt;&lt; endl;\r\n  return 0;\r\n}\r\n\r\n\r\n\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The minimum perimeter of the grid made by the given n blocks{ 6 } =  11<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using Mathematical Approach (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the n value as user input using the int(input()) function input and store it in a variable.<\/li>\n<li>Create a function to say <strong>Minimum_perimtr()<\/strong> which takes the given n value as an argument and returns the minimum perimeter of the grid made by these given n blocks.<\/li>\n<li>Calculate the square root of the given n value using the math.sqrt() function and store it in a variable say <strong>sqrt_val.<\/strong><\/li>\n<li>Multiply the above result with itself and store it in another variable.<\/li>\n<li>Check if the given n value is a perfect square by using the if conditional statement.<\/li>\n<li>If it is true, then return the value of above <strong>sqrt_val <\/strong>multiplied by 4.<\/li>\n<li>Else calculate the number of rows by dividing the given n value by <strong>sqrt_val.<\/strong><\/li>\n<li>Add the above <strong>sqrt_val <\/strong>with the number of rows obtained and multiply the result by 2 to get the perimeter of the rectangular grid.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Check whether there are any blocks left using the if conditional statement.<\/li>\n<li>If it is true, then add 2 to the above-obtained perimeter of the rectangular grid and store it in the same variable.<\/li>\n<li>Return the minimum perimeter of the grid made by the given n blocks.<\/li>\n<li>Pass the given n value as an argument to the <strong>Minimum_perimtr<\/strong><strong>()\u00a0<\/strong>function, convert it into an integer using the int() function and store it in another variable.<\/li>\n<li>Print the above result which is the minimum perimeter of the grid made by the given n blocks.<\/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\"># Import math module using the import keyword.\r\nimport math\r\n\r\n# Create a function to say Minimum_perimtr() which takes the given n value as an\r\n# argument and returns the minimum perimeter of the grid made by these given n blocks.\r\n\r\n\r\ndef Minimum_perimtr(gvn_n_val):\r\n    # Calculate the square root of the given n value using the math.sqrt() function\r\n    # and store it in a variable say sqrt_val.\r\n    sqrt_val = math.sqrt(gvn_n_val)\r\n    # Multiply the above result with itself and store it in another variable.\r\n    sqre_rslt = sqrt_val * sqrt_val\r\n\r\n    # Check if the given n value is a perfect square by using the if\r\n    # conditional statement.\r\n    if (sqre_rslt == gvn_n_val):\r\n        # If it is true, then return the value of above sqrt_val multiplied by 4.\r\n        return sqrt_val * 4\r\n    else:\r\n        # Else calculate the number of rows by dividing the given n value by sqrt_val.\r\n        no_of_rows = gvn_n_val \/ sqrt_val\r\n\r\n        # Add the above sqrt_val with the number of rows obtained and multiply the result\r\n        # by 2 to get the perimeter of the rectangular grid.\r\n        # Store it in another variable.\r\n        rslt_perimetr = 2 * (sqrt_val + no_of_rows)\r\n\r\n        # Check whether there are any blocks left using the if conditional statement.\r\n        if (gvn_n_val % sqrt_val != 0):\r\n            # If it is true, then add 2 to the above-obtained perimeter of the rectangular\r\n                    # grid and store it in the same variable.\r\n            rslt_perimetr += 2\r\n        # Return the minimum perimeter of the grid made by the given n blocks.\r\n        return rslt_perimetr\r\n\r\n\r\n# Give the n value as user input using the int(input()) function input and\r\n# store it in a variable.\r\ngvn_n_val = int(input(\"Enter some random number = \"))\r\n# Pass the given n value as an argument to the Minimum_perimtr()\u00a0function, convert\r\n# it into an integer using the int() function and store it in another variable.\r\nfnl_rslt = int(Minimum_perimtr(gvn_n_val))\r\n# Print the above result which is the minimum perimeter of the grid made by the\r\n# given n blocks.\r\nprint(\r\n    \"The minimum perimeter of the grid made by the given n blocks{\", gvn_n_val, \"} = \", fnl_rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 9\r\nThe minimum perimeter of the grid made by the given n blocks{ 9 } = 12\r\n\r\n<\/pre>\n<p>If you are learning Python then the <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Example<\/a> is for you and gives you a thorough description of concepts for beginners, experienced programmers.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-center-of-the-circle-using-endpoints-of-diameter\/\">Python Program to Find the Center of the Circle using Endpoints of Diameter<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-segment\/\">Python Program to Find Area of a Circular Segment<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/\">Python Program for Arc Length from Given Angle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-sector\/\">Python Program To Find Area of a Circular Sector<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program To Find Area of a Circular Sector Given n blocks of size 1*1, the task is to find the minimum perimeter of the grid made by these given n blocks in python. Examples: Example1: Input: Given n value = 6 Output: The minimum perimeter of the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-minimum-perimeter-of-n-blocks\/\"> <span class=\"screen-reader-text\">Python Program for Minimum Perimeter of n Blocks<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23019,"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 Minimum Perimeter of n Blocks - 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-minimum-perimeter-of-n-blocks\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Minimum Perimeter of n Blocks - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program To Find Area of a Circular Sector Given n blocks of size 1*1, the task is to find the minimum perimeter of the grid made by these given n blocks in python. 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