{"id":25727,"date":"2021-12-04T09:19:40","date_gmt":"2021-12-04T03:49:40","guid":{"rendered":"https:\/\/python-programs.com\/?p=25727"},"modified":"2021-12-04T09:19:40","modified_gmt":"2021-12-04T03:49:40","slug":"python-program-for-friends-travel-problem","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-friends-travel-problem\/","title":{"rendered":"Python Program for Friends-Travel Problem"},"content":{"rendered":"<p>In this article, we&#8217;ll look at The Friends-Travel Problem, which is highly interesting.<\/p>\n<p><strong> Friends-Travel Problem:<\/strong><\/p>\n<p>Assume n friends want to go to a party; they can travel alone or with another friend as a couple. We presume that n motorbikes are offered for n buddies.<\/p>\n<p>We need to figure out how many different ways the n friends can get to the party, either individually or in pairs of two as a couple.<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>One can either manually implement the naive technique using loops and if-else statements or use the quicker Recursion approach.<\/p>\n<p>Before going into the problem just have a glance over the recursion.<\/p>\n<p>To solve a larger problem, it is necessary to divide it into smaller difficulties.<\/p>\n<p>Let us consider the lower values of n like ( 1, 2, and 3).<\/p>\n<p>There are only one and two viable options for n = 1 and n = 2, respectively. And for n = 3, there are four alternative outcomes. How?<\/p>\n<p>For each value of n, a friend has two options: either travel alone or search for n-1 friends.<\/p>\n<p>Alternatively, the friend might choose a friend from the n-1 friends to travel with, and we will then look for n-2 friends.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number of friends = 3<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Different ways the 3 friends can get to the party =  4<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number of friends = 5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Different ways the 5 friends can get to the party = 26<\/pre>\n<h2>Program for Friends-Travel Problem in Python<\/h2>\n<ul>\n<li><a href=\"#Using_Recursion_(Static_Input)\">Using Recursion (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Recursion_(User_Input)\">Using Recursion (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Recursion_(Static_Input)\">Method #1: Using Recursion (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number(no of friends) as static input and store it in a variable.<\/li>\n<li>Create a recursive function say numberof_ways() which accepts the given number as an argument and returns the total number of ways friends can get to the party.<\/li>\n<li>Inside the function, check if the given number is less than 3 using the if conditional statement.<\/li>\n<li>If it is true, then return the given number.<\/li>\n<li>Return the value of {numberof_ways(no_frnds-1)) + ((no_frnds-1) * numberof_ways(no_frnds-2)} (Recursive Logic).<\/li>\n<li>Pass the given number as an argument to the numberof_ways() function and store it in a variable.<\/li>\n<li>Print the above result.<\/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\"># Create a recursive function say numberof_ways() which accepts the given number\r\n# as an argument and returns the total number of ways friends can get to the party.\r\n\r\n\r\ndef numberof_ways(no_frnds):\r\n    # Inside the function, check if the given number is less than 3 using the if\r\n        # conditional statement.\r\n    if(no_frnds &lt; 3):\r\n        # If it is true, then return the given number.\r\n        return no_frnds\r\n    # Return the value of count_no_ways(no_frnds-1)) + ((no_frnds-1) *\r\n        # count_no_ways(no_frnds-2) (Recursive Logic).\r\n    return (numberof_ways(no_frnds-1)) + ((no_frnds-1) * numberof_ways(no_frnds-2))\r\n\r\n\r\n# Give the number(no of friends) as static input and store it in a variable.\r\nno_frnds = 3\r\n# Pass the given number as an argument to the numberof_ways() function and\r\n# store it in a variable.\r\nrslt = numberof_ways(no_frnds)\r\n# Print the above result.\r\nprint(\"Different ways the\", no_frnds, \"friends can get to the party = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Different ways the 3 friends can get to the party =  4<\/pre>\n<h3 id=\"Using_Recursion_(User_Input)\">Method #2: Using Recursion (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number(no of friends) as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Create a recursive function say numberof_ways() which accepts the given number as an argument and returns the total number of ways friends can get to the party.<\/li>\n<li>Inside the function, check if the given number is less than 3 using the if conditional statement.<\/li>\n<li>If it is true, then return the given number.<\/li>\n<li>Return the value of {numberof_ways(no_frnds-1)) + ((no_frnds-1) * numberof_ways(no_frnds-2)} (Recursive Logic).<\/li>\n<li>Pass the given number as an argument to the numberof_ways() function and store it in a variable.<\/li>\n<li>Print the above result.<\/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\"># Create a recursive function say numberof_ways() which accepts the given number\r\n# as an argument and returns the total number of ways friends can get to the party.\r\n\r\n\r\ndef numberof_ways(no_frnds):\r\n    # Inside the function, check if the given number is less than 3 using the if\r\n        # conditional statement.\r\n    if(no_frnds &lt; 3):\r\n        # If it is true, then return the given number.\r\n        return no_frnds\r\n    # Return the value of count_no_ways(no_frnds-1)) + ((no_frnds-1) *\r\n        # count_no_ways(no_frnds-2) (Recursive Logic).\r\n    return (numberof_ways(no_frnds-1)) + ((no_frnds-1) * numberof_ways(no_frnds-2))\r\n\r\n\r\n# Give the number(no of friends) as user input using the int(input()) function and store it in a variable.\r\nno_frnds = int(input(\"Enter some random number = \"))\r\n# Pass the given number as an argument to the numberof_ways() function and\r\n# store it in a variable.\r\nrslt = numberof_ways(no_frnds)\r\n# Print the above result.\r\nprint(\"Different ways the\", no_frnds, \"friends can get to the party = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 5\r\nDifferent ways the 5 friends can get to the party = 26<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>In this article, we&#8217;ll look at The Friends-Travel Problem, which is highly interesting. Friends-Travel Problem: Assume n friends want to go to a party; they can travel alone or with another friend as a couple. We presume that n motorbikes are offered for n buddies. We need to figure out how many different ways the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-friends-travel-problem\/\"> <span class=\"screen-reader-text\">Python Program for Friends-Travel Problem<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"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 Friends-Travel Problem - 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-friends-travel-problem\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Friends-Travel Problem - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In this article, we&#8217;ll look at The Friends-Travel Problem, which is highly interesting. 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