{"id":22039,"date":"2021-09-22T17:11:46","date_gmt":"2021-09-22T11:41:46","guid":{"rendered":"https:\/\/python-programs.com\/?p=22039"},"modified":"2021-11-22T18:36:15","modified_gmt":"2021-11-22T13:06:15","slug":"python-program-to-count-frequency-of-k-in-a-matrix-of-size-n-where-matrix-i-j-ij","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-count-frequency-of-k-in-a-matrix-of-size-n-where-matrix-i-j-ij\/","title":{"rendered":"Python Program to Count Frequency of k in a Matrix of Size n Where Matrix (i, j) = i+j"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-calculate-sum-of-all-maximum-occurring-elements-in-matrix\/\">Python Program to Calculate Sum of all Maximum Occurring Elements in Matrix<\/a><\/p>\n<p>Given a number n (which is the size of the matrix)and another number k, the task is to find the frequency of k of the matrix with size n and matrix (i,j)=i+j.<\/p>\n<p><strong>What is a matrix:<\/strong><\/p>\n<p>A matrix is a rectangular sequence of numbers divided into columns and rows. A matrix element or entry is a number that appears in a matrix.<\/p>\n<p><strong>Example:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-7021 aligncenter\" src=\"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/05\/matrix.jpg\" alt=\"\" width=\"561\" height=\"426\" srcset=\"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/05\/matrix.jpg 561w, https:\/\/python-programs.com\/wp-content\/uploads\/2021\/05\/matrix-300x228.jpg 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Above is the matrix which contains 5 rows and 4 columns and having elements from 1 to 20.<\/p>\n<p>In this order, the dimensions of a matrix indicate the number of rows and columns.<\/p>\n<p>Here as there are 5 rows and 4 columns it is called a 5*4 matrix.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given size of matrix = 3\r\nGiven k value = 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given k value{ 6 } frequency in the matix =  1<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given size of matrix = 4\r\nGiven k value = 3<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given k value{ 3 } frequency in the matix =  2<\/pre>\n<h2>Program to Count Frequency of k in a Matrix of Size n Where Matrix(i, j) = i+j in Python<\/h2>\n<p>Below are the ways to find the frequency of k of the matrix with size n and matrix (i,j)=i+j 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>Import math module using the import keyword.<\/li>\n<li>Give the number(size of matrix) as static input and store it in a variable.<\/li>\n<li>Give another number k as static input and store it in another variable.<\/li>\n<li>Create a function to say <strong>findfreqencyof_k()<\/strong> which takes the given number(size of matrix) and the given k value as the arguments and returns the frequency of k of the matrix with size n and matrix (i,j)=i+j.<\/li>\n<li>Inside the function, check if the given number+1 is greater than or equal to the given k value using the if conditional statement.<\/li>\n<li>If it is true, then return given k value -1.<\/li>\n<li>Else return (2 * gvn_numb + 1 &#8211; gvn_k_val).<\/li>\n<li>Pass the given number(size of matrix) and the given k value as the arguments to the <strong>findfreqencyof_k<\/strong><strong>() <\/strong>function and store it in another variable.<\/li>\n<li>Check if the above result is less than 0 using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The given element k does not exist in the matrix&#8221;.<\/li>\n<li>Else print the frequency of the given k value.<\/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 findfreqencyof_k() which takes the given number(size of matrix)\r\n# and the given k value as the arguments and returns the frequency of k of the matrix\r\n# with size n and matrix (i,j)=i+j.\r\n\r\n\r\ndef findfreqencyof_k(gvn_numb,  gvn_k_val):\r\n    # Inside the function, check if the given number+1 is greater than or equal to the given\r\n        # k value using the if conditional statement.\r\n    if (gvn_numb + 1 &gt;= gvn_k_val):\r\n      # If it is true, then return given k value -1.\r\n        return (gvn_k_val - 1)\r\n    else:\r\n      # Else return (2 * gvn_numb + 1 - gvn_k_val).\r\n        return (2 * gvn_numb + 1 - gvn_k_val)\r\n\r\n\r\n# Give the number(size of matrix) as static input and store it in a variable.\r\ngvn_numb = 3\r\n# Give another number k as static input and store it in another variable.\r\ngvn_k_val = 6\r\n# Pass the given number(size of matrix) and the given k value as the arguments to the\r\n# findfreqencyof_k() function and store it in another variable.\r\nrslt = findfreqencyof_k(gvn_numb, gvn_k_val)\r\n# Check if the above result is less than 0 using the if conditional statement.\r\nif (rslt &lt; 0):\r\n  # If it is true, then print \"The given element k does not exist in the matrix\".\r\n    print(\"The given element{\", gvn_k_val, \"} does not exist in the matrix\")\r\nelse:\r\n  # Else print the frequency of the given k value.\r\n    print(\" The given k value{\", gvn_k_val,\r\n          \"} frequency in the matix = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given k value{ 6 } frequency in the matix =  1<\/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>Import math module using the import keyword.<\/li>\n<li>Give the number(size of matrix) as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give another number k as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Create a function to say <strong>findfreqencyof_k()<\/strong> which takes the given number(size of matrix) and the given k value as the arguments and returns the frequency of k of the matrix with size n and matrix (i,j)=i+j.<\/li>\n<li>Inside the function, check if the given number+1 is greater than or equal to the given k value using the if conditional statement.<\/li>\n<li>If it is true, then return given k value -1.<\/li>\n<li>Else return (2 * gvn_numb + 1 &#8211; gvn_k_val).<\/li>\n<li>Pass the given number(size of matrix) and the given k value as the arguments to the <strong>findfreqencyof_k<\/strong><strong>() <\/strong>function and store it in another variable.<\/li>\n<li>Check if the above result is less than 0 using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The given element k does not exist in the matrix&#8221;.<\/li>\n<li>Else print the frequency of the given k value.<\/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 findfreqencyof_k() which takes the given number(size of matrix)\r\n# and the given k value as the arguments and returns the frequency of k of the matrix\r\n# with size n and matrix (i,j)=i+j.\r\n\r\n\r\ndef findfreqencyof_k(gvn_numb,  gvn_k_val):\r\n    # Inside the function, check if the given number+1 is greater than or equal to the given\r\n        # k value using the if conditional statement.\r\n    if (gvn_numb + 1 &gt;= gvn_k_val):\r\n      # If it is true, then return given k value -1.\r\n        return (gvn_k_val - 1)\r\n    else:\r\n      # Else return (2 * gvn_numb + 1 - gvn_k_val).\r\n        return (2 * gvn_numb + 1 - gvn_k_val)\r\n\r\n\r\n# Give the number(size of matrix) as user input using the int(input()) function \r\n# and store it in a variable.\r\ngvn_numb = int(input(\"Enter some random number = \"))\r\n# Give another number k as user input using the int(input()) function and\r\n# store it in another variable.\r\ngvn_k_val = int(input(\"Enter some random number = \"))\r\n# Pass the given number(size of matrix) and the given k value as the arguments to the\r\n# findfreqencyof_k() function and store it in another variable.\r\nrslt = findfreqencyof_k(gvn_numb, gvn_k_val)\r\n# Check if the above result is less than 0 using the if conditional statement.\r\nif (rslt &lt; 0):\r\n  # If it is true, then print \"The given element k does not exist in the matrix\".\r\n    print(\"The given element{\", gvn_k_val, \"} does not exist in the matrix\")\r\nelse:\r\n  # Else print the frequency of the given k value.\r\n    print(\" The given k value{\", gvn_k_val,\r\n          \"} frequency in the matix = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 4\r\nEnter some random number = 3\r\nThe given k value{ 3 } frequency in the matix = 2<\/pre>\n<p>Dive into numerous <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Language Examples<\/a> for practice and get the best out of the tutorial and learn python one step at a time.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-swap-major-and-minor-diagonals-of-a-square-matrix\/\">Python Program to Swap Major and Minor Diagonals of a Square Matrix<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-squares-of-matrix-diagonal-elements\/\">Python Program for Squares of Matrix Diagonal Elements<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-interchange-elements-of-first-and-last-rows-in-matrix\/\">Python Program to Interchange Elements of First and Last Rows in Matrix<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-if-a-pair-with-given-product-exists-in-a-matrix\/\">Python Program to Check if a Pair with Given Product Exists in a Matrix<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Calculate Sum of all Maximum Occurring Elements in Matrix Given a number n (which is the size of the matrix)and another number k, the task is to find the frequency of k of the matrix with size n and matrix (i,j)=i+j. What is a matrix: &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-count-frequency-of-k-in-a-matrix-of-size-n-where-matrix-i-j-ij\/\"> <span class=\"screen-reader-text\">Python Program to Count Frequency of k in a Matrix of Size n Where Matrix (i, j) = i+j<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":22068,"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 Count Frequency of k in a Matrix of Size n Where Matrix (i, j) = i+j - 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-count-frequency-of-k-in-a-matrix-of-size-n-where-matrix-i-j-ij\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Count Frequency of k in a Matrix of Size n Where Matrix (i, j) = i+j - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Calculate Sum of all Maximum Occurring Elements in Matrix Given a number n (which is the size of the matrix)and another number k, the task is to find the frequency of k of the matrix with size n and matrix (i,j)=i+j. 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