{"id":20706,"date":"2021-09-21T09:00:12","date_gmt":"2021-09-21T03:30:12","guid":{"rendered":"https:\/\/python-programs.com\/?p=20706"},"modified":"2021-11-22T18:36:16","modified_gmt":"2021-11-22T13:06:16","slug":"python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/","title":{"rendered":"Python Program to Find Sum of Modulo K of First N Natural Numbers"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-for-modular-multiplicative-inverse\/\">Python Program for Modular Multiplicative Inverse<\/a><\/p>\n<p>Given two numbers N and K, the task is to find the sum of Modulo K of the first N natural numbers in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 5\r\nGiven k value = 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of modulo k of the given n natural numbers =  15<\/pre>\n<p><strong>Explanation:<\/strong><\/p>\n<pre>here 1%6+2%6+3%6+4%6+5%6 gives 15<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 4\r\nGiven k value =  7<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of modulo k of the given n natural numbers =  10<\/pre>\n<h2>Program to Find Sum of Modulo K of First N Natural Numbers in Python<\/h2>\n<p>Below are the ways to find the sum of Modulo K of the first N natural numbers in Python.<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input and store it in a variable.<\/li>\n<li>Give the k value as static input and store it in another variable.<\/li>\n<li>Pass the given number and k value as the arguments to the <strong>Sum_mod_k<\/strong> function.<\/li>\n<li>Create a function to say <strong>Sum_mod_k <\/strong>which takes the given number and k value as the arguments and returns the sum of modulo K of the given first N natural numbers.<\/li>\n<li>Take a variable to say <strong>rslt <\/strong>and initialize its value to 0.<\/li>\n<li>Loop from 1 to the given number using the for loop.<\/li>\n<li>Calculate the value of the iterator modulus given k value and store it in a variable.<\/li>\n<li>Add the above result to the <strong>rslt <\/strong>and store it in the same variable <strong>rslt.<\/strong><\/li>\n<li>Return the value of <strong>rslt.<\/strong><\/li>\n<li>Print the sum of modulo K of\u00a0the given first N natural numbers.<\/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 function to say Sum_mod_k which takes the given number and k value as the\r\n# arguments and returns the sum of modulo K of the given first N natural numbers.\r\n\r\n\r\ndef Sum_mod_k(gvn_numb, gvn_Kval):\r\n    # Take a variable to say rslt and initialize its value to 0.\r\n    rslt = 0\r\n    # Loop from 1 to the given number using the for loop.\r\n    for itr in range(1, gvn_numb + 1):\r\n      # Calculate the value of the iterator modulus given k value and store it in a variable.\r\n        mod_rslt = (itr % gvn_Kval)\r\n      # Add the above result to the rslt and store it in the same variable rslt.\r\n        rslt += mod_rslt\r\n   # Return the value of rslt.\r\n    return rslt\r\n\r\n\r\n# Give the number as static input and store it in a variable.\r\ngvn_numb = 5\r\n# Give the k value as static input and store it in another variable.\r\ngvn_Kval = 6\r\n# Pass the given number and k value as the arguments to the Sum_mod_k function.\r\n# Print the sum of modulo K of\u00a0the given first N natural numbers.\r\nprint(\"The sum of modulo k of the given n natural numbers = \",\r\n      Sum_mod_k(gvn_numb, gvn_Kval))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of modulo k of the given n natural numbers =  15<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using For loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the k value as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Pass the given number and k value as the arguments to the <strong>Sum_mod_k<\/strong> function.<\/li>\n<li>Create a function to say <strong>Sum_mod_k <\/strong>which takes the given number and k value as the arguments and returns the sum of modulo K of the given first N natural numbers.<\/li>\n<li>Take a variable to say <strong>rslt <\/strong>and initialize its value to 0.<\/li>\n<li>Loop from 1 to the given number using the for loop.<\/li>\n<li>Calculate the value of the iterator modulus given k value and store it in a variable.<\/li>\n<li>Add the above result to the <strong>rslt <\/strong>and store it in the same variable <strong>rslt.<\/strong><\/li>\n<li>Return the value of <strong>rslt.<\/strong><\/li>\n<li>Print the sum of modulo K of\u00a0the given first N natural numbers.<\/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 function to say Sum_mod_k which takes the given number and k value as the\r\n# arguments and returns the sum of modulo K of the given first N natural numbers.\r\n\r\n\r\ndef Sum_mod_k(gvn_numb, gvn_Kval):\r\n    # Take a variable to say rslt and initialize its value to 0.\r\n    rslt = 0\r\n    # Loop from 1 to the given number using the for loop.\r\n    for itr in range(1, gvn_numb + 1):\r\n      # Calculate the value of the iterator modulus given k value and store it in a variable.\r\n        mod_rslt = (itr % gvn_Kval)\r\n      # Add the above result to the rslt and store it in the same variable rslt.\r\n        rslt += mod_rslt\r\n   # Return the value of rslt.\r\n    return rslt\r\n\r\n\r\n# Give the number as user input using the int(input()) function and store it in a variable.\r\ngvn_numb = int(input(\"Enter some random number = \"))\r\n# Give the k value as user input using the int(input()) function and store it in another variable.\r\ngvn_Kval = int(input(\"Enter some random number = \"))\r\n# Pass the given number and k value as the arguments to the Sum_mod_k function.\r\n# Print the sum of modulo K of\u00a0the given first N natural numbers.\r\nprint(\"The sum of modulo k of the given n natural numbers = \",\r\n      Sum_mod_k(gvn_numb, gvn_Kval))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 4\r\nEnter some random number = 7\r\nThe sum of modulo k of the given n natural numbers = 10<\/pre>\n<p>Practice <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Program Examples<\/a> to master coding skills and learn the fundamental concepts in the dynamic programming language Python.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-surface-area-and-volume-of-a-hemisphere\/\"><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Python Program to Calculate the Surface Area and Volume of a Hemisphere&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4224,&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">Python Program to Calculate the Surface Area and Volume of a Hemisphere<\/span><\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-the-perimeter-of-trapezoid\/\"><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Python Program to Compute the Perimeter of Trapezoid&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4224,&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">Python Program to Compute the Perimeter of Trapezoid<\/span><\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-square-root-under-modulo-k-when-k-is-in-form-of-4i-3\/\">Python Program to Find Square Root Under Modulo k (When k is in Form of 4*i + 3)<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-modular-multiplicative-inverse\/\">Python Program for Modular Multiplicative Inverse<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program for Modular Multiplicative Inverse Given two numbers N and K, the task is to find the sum of Modulo K of the first N natural numbers in Python. Examples: Example1: Input: Given Number = 5 Given k value = 6 Output: The sum of modulo k &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/\"> <span class=\"screen-reader-text\">Python Program to Find Sum of Modulo K of First N Natural Numbers<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":20737,"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 to Find Sum of Modulo K of First N Natural Numbers - 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-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find Sum of Modulo K of First N Natural Numbers - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program for Modular Multiplicative Inverse Given two numbers N and K, the task is to find the sum of Modulo K of the first N natural numbers in Python. 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Examples: Example1: Input: Given Number = 5 Given k value = 6 Output: The sum of modulo k &hellip; Python Program to Find Sum of Modulo K of First N Natural Numbers Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-09-21T03:30:12+00:00","article_modified_time":"2021-11-22T13:06:16+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/09\/Program-to-Find-Sum-of-Modulo-K-of-First-N-Natural-Numbers.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@btech_geeks","twitter_site":"@btech_geeks","twitter_misc":{"Written by":"Vikram Chiluka","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/python-programs.com\/#organization","name":"BTech Geeks","url":"https:\/\/python-programs.com\/","sameAs":["https:\/\/www.instagram.com\/btechgeeks\/","https:\/\/www.linkedin.com\/in\/btechgeeks","https:\/\/in.pinterest.com\/btechgeek\/","https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg","https:\/\/www.facebook.com\/btechgeeks","https:\/\/twitter.com\/btech_geeks"],"logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","width":350,"height":70,"caption":"BTech Geeks"},"image":{"@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/"}},{"@type":"WebSite","@id":"https:\/\/python-programs.com\/#website","url":"https:\/\/python-programs.com\/","name":"Python Programs","description":"Python Programs with Examples, How To Guides on Python","publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/python-programs.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/#primaryimage","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/09\/Program-to-Find-Sum-of-Modulo-K-of-First-N-Natural-Numbers.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/09\/Program-to-Find-Sum-of-Modulo-K-of-First-N-Natural-Numbers.png","width":1280,"height":720,"caption":"Program to Find Sum of Modulo K of First N Natural Numbers"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/#webpage","url":"https:\/\/python-programs.com\/python-program-to-find-sum-of-modulo-k-of-first-n-natural-numbers\/","name":"Python Program to Find Sum of Modulo K of First N Natural Numbers - 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