{"id":22988,"date":"2021-09-29T20:14:46","date_gmt":"2021-09-29T14:44:46","guid":{"rendered":"https:\/\/python-programs.com\/?p=22988"},"modified":"2021-11-22T18:35:34","modified_gmt":"2021-11-22T13:05:34","slug":"python-program-to-find-coordinates-of-rectangle-with-given-points-lie-inside","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-coordinates-of-rectangle-with-given-points-lie-inside\/","title":{"rendered":"Python Program to Find Coordinates of Rectangle with Given Points Lie Inside"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-number-of-rectangles-in-nm-grid\/\">Python Program to Find Number of Rectangles in N*M Grid<\/a><br \/>\nGiven Two lists X and Y where X[i] and Y[i] represent the coordinate system&#8217;s points.<\/p>\n<p>The task is to Find the smallest rectangle in which all of the points from the given input are enclosed, and the sides of the rectangle must be parallel to the Coordinate axis. Print the obtained rectangle&#8217;s four coordinates.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given X Coordinates List = <code class=\"plain\">[<\/code><code class=\"value\">4<\/code><code class=\"plain\">, <\/code><code class=\"value\">3<\/code><code class=\"plain\">, <\/code><code class=\"value\">6<\/code><code class=\"plain\">, <\/code><code class=\"value\">1<\/code><code class=\"plain\">, <\/code><code class=\"keyword\">-<\/code><code class=\"value\">1<\/code><code class=\"plain\">, <\/code><code class=\"value\">12<\/code><code class=\"plain\">]\u00a0<\/code> Given Y Coordinates List = <code class=\"plain\">[<\/code><code class=\"value\">4<\/code><code class=\"plain\">, <\/code><code class=\"value\">1<\/code><code class=\"plain\">, <\/code><code class=\"value\">10<\/code><code class=\"plain\">, <\/code><code class=\"value\">3<\/code><code class=\"plain\">, <\/code><code class=\"value\">7<\/code><code class=\"plain\">, <\/code><code class=\"keyword\">-<\/code><code class=\"value\">1<\/code><code class=\"plain\">] <\/code><\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The first point of Rectangle is [ -1 , -1 ]\r\nThe second point of Rectangle is [ -1 , 10 ]\r\nThe third point of Rectangle is [ 12 , 10 ]\r\nThe fourth point of Rectangle is [ 12 , -1 ]<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given X Coordinates List =  4 8 7 1 6 4 2\r\nGiven Y Coordinates List =  5 7 9 8 3 4 2<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The first point of Rectangle is [ 1 , 2 ]\r\nThe second point of Rectangle is [ 1 , 9 ]\r\nThe third point of Rectangle is [ 8 , 9 ]\r\nThe fourth point of Rectangle is [ 8 , 2 ]<\/pre>\n<h2>Program to Find Coordinates of Rectangle with Given Points Lie Inside in Python<\/h2>\n<p>Below are the ways to Find the smallest rectangle in which all of the points from the given input are enclosed 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<p>The logic behind this is very simple and efficient: find the smallest and largest x and y coordinates among all given points, and then all possible four combinations of these values result in the four points of the required rectangle as <strong>[Xmin, Ymin], [Xmin, Ymax], [Xmax, Ymax],[\u00a0Xmax, Ymin].<\/strong><\/p>\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>Give the X coordinates of all the points as a list as static input and store it in a variable.<\/li>\n<li>Give the Y coordinates of all the points as another list as static input and store it in another variable.<\/li>\n<li>Calculate the minimum value of all the x Coordinates using the min() function and store it in a variable xMinimum.<\/li>\n<li>Calculate the maximum value of all the x Coordinates using the max() function and store it in a variable xMaximum.<\/li>\n<li>Calculate the minimum value of all the y Coordinates using the min() function and store it in a variable yMinimum.<\/li>\n<li>Calculate the maximum value of all the y Coordinates using the max() function and store it in a variable yMaximum.<\/li>\n<li>Print the Four Coordinates of the Rectangle using the above 4 calculated values.<\/li>\n<li>Print the first point of the rectangle by printing values xMinimum, yMinimum.<\/li>\n<li>Print the second point of the rectangle by printing values xMinimum, yMaximum.<\/li>\n<li>Print the third point of the rectangle by printing values xMaximum, yMaximum.<\/li>\n<li>Print the fourth point of the rectangle by printing values xMaximum, yMinimum.<\/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\">#Give the X coordinates of all the points as a list as static input \r\n#and store it in a variable.\r\nXCordinates=[4, 3, 6, 1, -1, 12] \r\n#Give the Y coordinates of all the points as another list as static input \r\n#and store it in another variable.\r\nYCordinates =  [4, 1, 10, 3, 7, -1] \r\n\r\n#Calculate the minimum value of all the x Coordinates using the min() function\r\n#and store it in a variable xMinimum.\r\nxMinimum=min(XCordinates)\r\n#Calculate the maximum value of all the x Coordinates using the max() function \r\n#and store it in a variable xMaximum.\r\nxMaximum=max(XCordinates)\r\n#Calculate the minimum value of all the y Coordinates using the min() function\r\n#and store it in a variable yMinimum.\r\nyMinimum=min(YCordinates)\r\n#Calculate the maximum value of all the y Coordinates using the max() function\r\n#and store it in a variable yMaximum.\r\nyMaximum=max(YCordinates)\r\n#Print the Four Coordinates of the Rectangle using the above 4 calculated values.\r\n#Print the first point of the rectangle by printing values xMinimum, yMinimum.\r\nprint('The first point of Rectangle is [',xMinimum,',',yMinimum,']')\r\n#Print the second point of the rectangle by printing values xMinimum, yMaximum.\r\nprint('The second point of Rectangle is [',xMinimum,',',yMaximum,']')\r\n#Print the third point of the rectangle by printing values xMaximum, yMaximum.\r\nprint('The third point of Rectangle is [',xMaximum,',',yMaximum,']')\r\n#Print the fourth point of the rectangle by printing values xMaximum, yMinimum.\r\nprint('The fourth point of Rectangle is [',xMaximum,',',yMinimum,']')<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The first point of Rectangle is [ -1 , -1 ]\r\nThe second point of Rectangle is [ -1 , 10 ]\r\nThe third point of Rectangle is [ 12 , 10 ]\r\nThe fourth point of Rectangle is [ 12 , -1 ]<\/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>Give the X coordinates of all the points as a list as user input using list(),int(),split(),map() functions and store it in a variable.<\/li>\n<li>Give the Y coordinates of all the points as another list as user input using list(),int(),split(),map() functions and store it in another variable.<\/li>\n<li>Calculate the minimum value of all the x Coordinates using the min() function and store it in a variable xMinimum.<\/li>\n<li>Calculate the maximum value of all the x Coordinates using the max() function and store it in a variable xMaximum.<\/li>\n<li>Calculate the minimum value of all the y Coordinates using the min() function and store it in a variable yMinimum.<\/li>\n<li>Calculate the maximum value of all the y Coordinates using the max() function and store it in a variable yMaximum.<\/li>\n<li>Print the Four Coordinates of the Rectangle using the above 4 calculated values.<\/li>\n<li>Print the first point of the rectangle by printing values xMinimum, yMinimum.<\/li>\n<li>Print the second point of the rectangle by printing values xMinimum, yMaximum.<\/li>\n<li>Print the third point of the rectangle by printing values xMaximum, yMaximum.<\/li>\n<li>Print the fourth point of the rectangle by printing values xMaximum, yMinimum.<\/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\"># Give the X coordinates of all the points as a list as user input using list(),int(),split(),map() functions\r\n# and store it in a variable.\r\nXCordinates = list(map(int, input('Enter some random X Coordinates = ').split()))\r\n# Give the Y coordinates of all the points as another list as user input using list(),int(),split(),map() functions\r\n# and store it in another variable.\r\nYCordinates = list(map(int, input('Enter some random Y Coordinates = ').split()))\r\n\r\n# Calculate the minimum value of all the x Coordinates using the min() function\r\n# and store it in a variable xMinimum.\r\nxMinimum = min(XCordinates)\r\n# Calculate the maximum value of all the x Coordinates using the max() function\r\n# and store it in a variable xMaximum.\r\nxMaximum = max(XCordinates)\r\n# Calculate the minimum value of all the y Coordinates using the min() function\r\n# and store it in a variable yMinimum.\r\nyMinimum = min(YCordinates)\r\n# Calculate the maximum value of all the y Coordinates using the max() function\r\n# and store it in a variable yMaximum.\r\nyMaximum = max(YCordinates)\r\n# Print the Four Coordinates of the Rectangle using the above 4 calculated values.\r\n# Print the first point of the rectangle by printing values xMinimum, yMinimum.\r\nprint('The first point of Rectangle is [', xMinimum, ',', yMinimum, ']')\r\n# Print the second point of the rectangle by printing values xMinimum, yMaximum.\r\nprint('The second point of Rectangle is [', xMinimum, ',', yMaximum, ']')\r\n# Print the third point of the rectangle by printing values xMaximum, yMaximum.\r\nprint('The third point of Rectangle is [', xMaximum, ',', yMaximum, ']')\r\n# Print the fourth point of the rectangle by printing values xMaximum, yMinimum.\r\nprint('The fourth point of Rectangle is [', xMaximum, ',', yMinimum, ']')\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random X Coordinates = 4 8 7 1 6 4 2\r\nEnter some random Y Coordinates = 5 7 9 8 3 4 2\r\nThe first point of Rectangle is [ 1 , 2 ]\r\nThe second point of Rectangle is [ 1 , 9 ]\r\nThe third point of Rectangle is [ 8 , 9 ]\r\nThe fourth point of Rectangle is [ 8 , 2 ]<\/pre>\n<p>Remediate your knowledge gap by attempting the <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Code Examples<\/a> regularly and understand the areas of need and work on 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The task is to Find the smallest rectangle in which all of the points from the given input are enclosed, and the sides &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-coordinates-of-rectangle-with-given-points-lie-inside\/\"> <span class=\"screen-reader-text\">Python Program to Find Coordinates of Rectangle with Given Points Lie Inside<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23029,"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 Coordinates of Rectangle with Given Points Lie Inside - 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-coordinates-of-rectangle-with-given-points-lie-inside\/\" \/>\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 Coordinates of Rectangle with Given Points Lie Inside - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Find Number of Rectangles in N*M Grid Given Two lists X and Y where X[i] and Y[i] represent the coordinate system&#8217;s points. 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