{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-26T00:14:02.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":2340,"title":"Numbers spiral diagonals (Part 1)","description":"Inspired by Project Euler n°28 et 58.\r\n\r\nA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\r\n\r\nFor exemple with n=5, the spiral matrix is :\r\n\r\n                       21 22 23 24 25\r\n                       20  7  8  9 10\r\n                       19  6  1  2 11\r\n                       18  5  4  3 12\r\n                       17 16 15 14 13\r\n\r\nIn this example, the sum of the numbers on the diagonals is 101.\r\n\r\nWhat is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?\r\n\r\nHINTS: You want the diagonals, not the whole matrix.","description_html":"\u003cp\u003eInspired by Project Euler n°28 et 58.\u003c/p\u003e\u003cp\u003eA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\u003c/p\u003e\u003cp\u003eFor exemple with n=5, the spiral matrix is :\u003c/p\u003e\u003cpre\u003e                       21 22 23 24 25\r\n                       20  7  8  9 10\r\n                       19  6  1  2 11\r\n                       18  5  4  3 12\r\n                       17 16 15 14 13\u003c/pre\u003e\u003cp\u003eIn this example, the sum of the numbers on the diagonals is 101.\u003c/p\u003e\u003cp\u003eWhat is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?\u003c/p\u003e\u003cp\u003eHINTS: You want the diagonals, not the whole matrix.\u003c/p\u003e","function_template":"function y = spiral_nb(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 3;\r\ny_correct = 25;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = 101;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 9;\r\ny_correct = 537;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 501;\r\ny_correct = 83960501;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 5001;\r\ny_correct = 83395855001;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 10001;\r\ny_correct = 666916710001;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 10003;\r\ny_correct = 667316890025;\r\nassert(isequal(spiral_nb(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":5390,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":298,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":31,"created_at":"2014-05-30T22:02:51.000Z","updated_at":"2026-04-26T18:42:34.000Z","published_at":"2014-05-30T22:03:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInspired by Project Euler n°28 et 58.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor exemple with n=5, the spiral matrix is :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[                       21 22 23 24 25\\n                       20  7  8  9 10\\n                       19  6  1  2 11\\n                       18  5  4  3 12\\n                       17 16 15 14 13]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this example, the sum of the numbers on the diagonals is 101.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHINTS: You want the diagonals, not the whole matrix.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":2340,"title":"Numbers spiral diagonals (Part 1)","description":"Inspired by Project Euler n°28 et 58.\r\n\r\nA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\r\n\r\nFor exemple with n=5, the spiral matrix is :\r\n\r\n                       21 22 23 24 25\r\n                       20  7  8  9 10\r\n                       19  6  1  2 11\r\n                       18  5  4  3 12\r\n                       17 16 15 14 13\r\n\r\nIn this example, the sum of the numbers on the diagonals is 101.\r\n\r\nWhat is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?\r\n\r\nHINTS: You want the diagonals, not the whole matrix.","description_html":"\u003cp\u003eInspired by Project Euler n°28 et 58.\u003c/p\u003e\u003cp\u003eA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\u003c/p\u003e\u003cp\u003eFor exemple with n=5, the spiral matrix is :\u003c/p\u003e\u003cpre\u003e                       21 22 23 24 25\r\n                       20  7  8  9 10\r\n                       19  6  1  2 11\r\n                       18  5  4  3 12\r\n                       17 16 15 14 13\u003c/pre\u003e\u003cp\u003eIn this example, the sum of the numbers on the diagonals is 101.\u003c/p\u003e\u003cp\u003eWhat is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?\u003c/p\u003e\u003cp\u003eHINTS: You want the diagonals, not the whole matrix.\u003c/p\u003e","function_template":"function y = spiral_nb(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 3;\r\ny_correct = 25;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = 101;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 9;\r\ny_correct = 537;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 501;\r\ny_correct = 83960501;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 5001;\r\ny_correct = 83395855001;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 10001;\r\ny_correct = 666916710001;\r\nassert(isequal(spiral_nb(x),y_correct))\r\n%%\r\nx = 10003;\r\ny_correct = 667316890025;\r\nassert(isequal(spiral_nb(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":5390,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":298,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":31,"created_at":"2014-05-30T22:02:51.000Z","updated_at":"2026-04-26T18:42:34.000Z","published_at":"2014-05-30T22:03:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInspired by Project Euler n°28 et 58.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor exemple with n=5, the spiral matrix is :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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