{"id":25694,"date":"2021-12-04T09:19:14","date_gmt":"2021-12-04T03:49:14","guid":{"rendered":"https:\/\/python-programs.com\/?p=25694"},"modified":"2021-12-04T09:19:14","modified_gmt":"2021-12-04T03:49:14","slug":"python-code-for-printing-all-possible-subsequences-subsets","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-code-for-printing-all-possible-subsequences-subsets\/","title":{"rendered":"Python Code for Printing all Possible subsequences\/subsets."},"content":{"rendered":"<p>Let us look at a highly exciting subject called Printing all possible subsequences\/subsets of a given string.<\/p>\n<p>There are two options for each element in the specified string:<\/p>\n<p>Include the first element in the subsequence and then determine the subsequence for the other elements.<br \/>\nAlternatively, leave out the first element and determine the subsequence for the remaining elements.<br \/>\nThe same logic is used in each recursive call until we reach the last index of the provided array.<\/p>\n<p>In that scenario, we just print the created subsequence and then return to identify the next subsequence.<\/p>\n<h4>Python Code<\/h4>\n<ul>\n<li><a href=\"#Using_Built-in_Functions_(Static_Input)\">Using Built-in Functions (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Built-in_Functions_(User_Input)\">Using Built-in Functions (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Built-in_Functions_(Static_Input)\">Method #1: Using Recursive Function (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the string as static input and store it in a variable.<\/li>\n<li>Create a recursive function say <strong>possible_subsequences()<\/strong> which accepts the given string, result string, and index pointing for the given string as the arguments and returns all the subsequences or subsets of a given string.<\/li>\n<li>Inside the possible_subsequences() function, check if the index argument<strong>(k) <\/strong>is equal to the given length of the string or not using the if conditional statement.<\/li>\n<li>If it is true, then check if the length of the result string is not equal to 0 using the if conditional statement.<\/li>\n<li>If it is true, then print the result string.<\/li>\n<li>Else, Pass the given string, result string, and k+1 for the function itself(recursive logic). It excludes the first character.<\/li>\n<li>Add the given string at the index k to the result string and store it in the same variable.<\/li>\n<li>Pass the given string, result string, and k+1 for the function itself(recursive logic). It includes the first character.<\/li>\n<li>Return.<\/li>\n<li>Pass the given string, empty string and 1st index(0) to the recursive function <strong>possible_subsequences().<\/strong><\/li>\n<li>Print the first character of the given string.<\/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 possible_subsequences() which accepts the\r\n# given string, result string, and index pointing for the given string as\r\n# the arguments and returns all the subsequences or subsets of a given string.\r\n\r\n\r\ndef possible_subsequences(gvn_str, rslt, k):\r\n    # Inside the possible_subsequences() function, check if the index argument(k)\r\n        # is equal to the given length of the string or not using the if conditional\r\n        # statement.\r\n    if (k == len(gvn_str)):\r\n        # If it is true, then check if the length of the result string is not equal\r\n                # to 0 using the if conditional statement.\r\n        if (len(rslt) != 0):\r\n          # If it is true, then print the result string.\r\n            print(rslt)\r\n    else:\r\n        # Else, Pass the given string, result string, and k+1 for the function itself\r\n                # (recursive logic). It excludes the first character.\r\n        possible_subsequences(gvn_str, rslt, k+1)\r\n\r\n        # Add the given string at the index k to the result string and store it in\r\n        # the same variable.It includes the first character.\r\n        rslt += gvn_str[k]\r\n        # Pass the given string, result string, and k+1 for the function itself\r\n        # (recursive logic).\r\n        possible_subsequences(gvn_str, rslt, k+1)\r\n    # Return.\r\n    return\r\n\r\n\r\n# Give the string as static input and store it in a variable.\r\ngvn_str = \"pqr\"\r\nprint(\"The all possible subsequences of a given string are :\")\r\n# Pass the given string, empty string and 1st index(0) to the recursive function\r\n# possible_subsequences().\r\npossible_subsequences(gvn_str, \"\", 0)\r\n# Print the first character of the given string.\r\nprint(gvn_str[0])\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The all possible subsequences of a given string are :\r\nr\r\nq\r\nqr\r\np\r\npr\r\npq\r\npqr\r\np<\/pre>\n<h3 id=\"Using_Built-in_Functions_(User_Input)\">Method #2: Using Recursive Function (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the string as user input using the input() function and store it in a variable.<\/li>\n<li>Create a recursive function say <strong>possible_subsequences()<\/strong> which accepts the given string, result string, and index pointing for the given string as the arguments and returns all the subsequences or subsets of a given string.<\/li>\n<li>Inside the possible_subsequences() function, check if the index argument<strong>(k) <\/strong>is equal to the given length of the string or not using the if conditional statement.<\/li>\n<li>If it is true, then check if the length of the result string is not equal to 0 using the if conditional statement.<\/li>\n<li>If it is true, then print the result string.<\/li>\n<li>Else, Pass the given string, result string, and k+1 for the function itself(recursive logic). It excludes the first character.<\/li>\n<li>Add the given string at the index k to the result string and store it in the same variable.<\/li>\n<li>Pass the given string, result string, and k+1 for the function itself(recursive logic). It includes the first character.<\/li>\n<li>Return.<\/li>\n<li>Pass the given string, empty string and 1st index(0) to the recursive function <strong>possible_subsequences().<\/strong><\/li>\n<li>Print the first character of the given string.<\/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 possible_subsequences() which accepts the\r\n# given string, result string, and index pointing for the given string as\r\n# the arguments and returns all the subsequences or subsets of a given string.\r\n\r\n\r\ndef possible_subsequences(gvn_str, rslt, k):\r\n    # Inside the possible_subsequences() function, check if the index argument(k)\r\n        # is equal to the given length of the string or not using the if conditional\r\n        # statement.\r\n    if (k == len(gvn_str)):\r\n        # If it is true, then check if the length of the result string is not equal\r\n                # to 0 using the if conditional statement.\r\n        if (len(rslt) != 0):\r\n          # If it is true, then print the result string.\r\n            print(rslt)\r\n    else:\r\n        # Else, Pass the given string, result string, and k+1 for the function itself\r\n                # (recursive logic). It excludes the first character.\r\n        possible_subsequences(gvn_str, rslt, k+1)\r\n\r\n        # Add the given string at the index k to the result string and store it in\r\n        # the same variable.It includes the first character.\r\n        rslt += gvn_str[k]\r\n        # Pass the given string, result string, and k+1 for the function itself\r\n        # (recursive logic).\r\n        possible_subsequences(gvn_str, rslt, k+1)\r\n    # Return.\r\n    return\r\n\r\n\r\n# Give the string as user input using the input() function and store it in a variable.\r\ngvn_str = input(\"Enter some random string = \")\r\nprint(\"The all possible subsequences of a given string are :\")\r\n# Pass the given string, empty string and 1st index(0) to the recursive function\r\n# possible_subsequences().\r\npossible_subsequences(gvn_str, \"\", 0)\r\n# Print the first character of the given string.\r\nprint(gvn_str[0])\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random string = xyz\r\nThe all possible subsequences of a given string are :\r\nz\r\ny\r\nyz\r\nx\r\nxz\r\nxy\r\nxyz\r\nx<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let us look at a highly exciting subject called Printing all possible subsequences\/subsets of a given string. There are two options for each element in the specified string: Include the first element in the subsequence and then determine the subsequence for the other elements. Alternatively, leave out the first element and determine the subsequence for &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-code-for-printing-all-possible-subsequences-subsets\/\"> <span class=\"screen-reader-text\">Python Code for Printing all Possible subsequences\/subsets.<\/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 Code for Printing all Possible subsequences\/subsets. - 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-code-for-printing-all-possible-subsequences-subsets\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Code for Printing all Possible subsequences\/subsets. - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Let us look at a highly exciting subject called Printing all possible subsequences\/subsets of a given string. 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