{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","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":"2026-04-06T00:00:00.000Z","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":2382,"title":"Inverse of Hilbert matrix","description":"Given a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert matrix.","description_html":"\u003cp\u003eGiven a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert matrix.\u003c/p\u003e","function_template":"function y = invHilb2(x)\r\ny = x;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = [];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = [16    36\r\n             36   144];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = [  81        1296         900\r\n             1296       36864       32400\r\n              900       32400       32400];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 4;\r\ny_correct = [  256       14400       57600       19600\r\n             14400     1440000     7290000     2822400\r\n             57600     7290000    41990400    17640000\r\n             19600     2822400    17640000     7840000];\r\nassert(isequal(invHilb2(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3919,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":65,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-23T07:42:12.000Z","updated_at":"2026-02-18T14:33:20.000Z","published_at":"2014-06-23T07:42:28.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eGiven a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert 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\"}]}"},{"id":44104,"title":"Hilbert Scan Algorithm","description":"As Zig-Zag and Horizontal ... we have also a \u003c \u003cHilbert\u003e \u003cScan\u003e \u003e as shown in this article \u003chttp://link.springer.com/chapter/10.1007/11821045_31\u003e :\r\nexpls:\r\n\r\ninput:\r\nx=\r\n[1 2;\r\n3 4];\r\n\r\noutput:\r\n\r\ny=[3 1 2 4]\r\n\r\ninput:\r\nx=\r\n[1 2 3 4;\r\n5 6 7 8;\r\n9 10 11 12;\r\n13 14 15 16]\r\n\r\noutput:\r\n\r\ny=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\r\n\r\n \r\n\r\n \r\n\r\n ","description_html":"\u003cp\u003eAs Zig-Zag and Horizontal ... we have also a \u0026lt; \u003ca href = \"Hilbert\"\u003eHilbert\u003c/a\u003e \u003ca href = \"Scan\"\u003eScan\u003c/a\u003e \u0026gt; as shown in this article \u003ca href = \"http://link.springer.com/chapter/10.1007/11821045_31\"\u003ehttp://link.springer.com/chapter/10.1007/11821045_31\u003c/a\u003e :\r\nexpls:\u003c/p\u003e\u003cp\u003einput:\r\nx=\r\n[1 2;\r\n3 4];\u003c/p\u003e\u003cp\u003eoutput:\u003c/p\u003e\u003cp\u003ey=[3 1 2 4]\u003c/p\u003e\u003cp\u003einput:\r\nx=\r\n[1 2 3 4;\r\n5 6 7 8;\r\n9 10 11 12;\r\n13 14 15 16]\u003c/p\u003e\u003cp\u003eoutput:\u003c/p\u003e\u003cp\u003ey=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx =[1 2; 3 4];\r\ny_correct = [3 1 2 4];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16];\r\ny_correct = [13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx =magic(8);\r\ny_correct = [8 49 15 58 59 5 52 14 22 44 29 35 34 23 41 32 40 26 47 17 9 64 2 55 54 3 61 12 20 46 27 37 36 30 43 21 ...\r\n13 60 6 51 50 7 57 16 24 42 31 33 25 48 18 39 38 28 45 19 11 53 4 62 63 10 56 1];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":37163,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2017-05-08T22:34:59.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-04-25T10:12:43.000Z","updated_at":"2017-05-08T22:34:59.000Z","published_at":"2017-04-25T10:12:43.000Z","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\u003eAs Zig-Zag and Horizontal ... we have also a \u0026lt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"Hilbert\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHilbert\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"Scan\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eScan\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u0026gt; as shown in this article\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://link.springer.com/chapter/10.1007/11821045_31\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://link.springer.com/chapter/10.1007/11821045_31\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e : expls:\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\u003einput: x= [1 2; 3 4];\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\u003eoutput:\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\u003ey=[3 1 2 4]\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\u003einput: x= [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16]\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\u003eoutput:\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\u003ey=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\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\"}]}"},{"id":42830,"title":"Hilbert numbers","description":"Given a positive integer, n, return h as follows:\r\n\r\n1. If n is not a \u003chttps://en.wikipedia.org/wiki/Hilbert_number Hilbert number\u003e, return h = 0\r\n\r\n2. If n is a Hilbert prime, return h = 1\r\n\r\n3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector. \r\n\r\nExample 1:\r\n\r\nn = 3\r\n\r\nh = 0\r\n\r\nExample 2:\r\n\r\nn = 5\r\n\r\nh = 1\r\n\r\nExample 3:\r\n\r\nn = 45\r\n\r\nh = [5 9]\r\n\r\nExample 4:\r\n\r\nn = 441\r\n\r\nh = [9 21 49]","description_html":"\u003cp\u003eGiven a positive integer, n, return h as follows:\u003c/p\u003e\u003cp\u003e1. If n is not a \u003ca href = \"https://en.wikipedia.org/wiki/Hilbert_number\"\u003eHilbert number\u003c/a\u003e, return h = 0\u003c/p\u003e\u003cp\u003e2. If n is a Hilbert prime, return h = 1\u003c/p\u003e\u003cp\u003e3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector.\u003c/p\u003e\u003cp\u003eExample 1:\u003c/p\u003e\u003cp\u003en = 3\u003c/p\u003e\u003cp\u003eh = 0\u003c/p\u003e\u003cp\u003eExample 2:\u003c/p\u003e\u003cp\u003en = 5\u003c/p\u003e\u003cp\u003eh = 1\u003c/p\u003e\u003cp\u003eExample 3:\u003c/p\u003e\u003cp\u003en = 45\u003c/p\u003e\u003cp\u003eh = [5 9]\u003c/p\u003e\u003cp\u003eExample 4:\u003c/p\u003e\u003cp\u003en = 441\u003c/p\u003e\u003cp\u003eh = [9 21 49]\u003c/p\u003e","function_template":"function h = hilbertnum(n)\r\n  h = 0;\r\nend","test_suite":"%%\r\nn = 3;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 5;\r\nh_correct = 1;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 45;\r\nh_correct = [5 9];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 1169;\r\nh_correct = 1;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 441;\r\nh_correct = [9 21 49];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 45678;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 56789;\r\nh_correct = [109 521];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 353535;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 35353549;\r\nh_correct = [49 77 613 749 1177 30037 47201 57673 459137 721501];\r\nassert(isequal(hilbertnum(n),h_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":61,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-04-25T18:22:53.000Z","updated_at":"2026-03-02T11:43:26.000Z","published_at":"2016-04-25T18:22:53.000Z","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\u003eGiven a positive integer, n, return h as follows:\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\u003e1. If n is not a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Hilbert_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHilbert number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, return h = 0\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\u003e2. If n is a Hilbert prime, return h = 1\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\u003e3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector.\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\u003eExample 1:\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\u003en = 3\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\u003eh = 0\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\u003eExample 2:\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\u003en = 5\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\u003eh = 1\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\u003eExample 3:\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\u003en = 45\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\u003eh = [5 9]\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\u003eExample 4:\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\u003en = 441\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\u003eh = [9 21 49]\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":2382,"title":"Inverse of Hilbert matrix","description":"Given a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert matrix.","description_html":"\u003cp\u003eGiven a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert matrix.\u003c/p\u003e","function_template":"function y = invHilb2(x)\r\ny = x;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = [];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = [16    36\r\n             36   144];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = [  81        1296         900\r\n             1296       36864       32400\r\n              900       32400       32400];\r\nassert(isequal(invHilb2(x),y_correct))\r\n\r\n%%\r\nx = 4;\r\ny_correct = [  256       14400       57600       19600\r\n             14400     1440000     7290000     2822400\r\n             57600     7290000    41990400    17640000\r\n             19600     2822400    17640000     7840000];\r\nassert(isequal(invHilb2(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3919,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":65,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-23T07:42:12.000Z","updated_at":"2026-02-18T14:33:20.000Z","published_at":"2014-06-23T07:42:28.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eGiven a non-negative integer x, return the element-wise power of 2 of the inverse of Hilbert 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\"}]}"},{"id":44104,"title":"Hilbert Scan Algorithm","description":"As Zig-Zag and Horizontal ... we have also a \u003c \u003cHilbert\u003e \u003cScan\u003e \u003e as shown in this article \u003chttp://link.springer.com/chapter/10.1007/11821045_31\u003e :\r\nexpls:\r\n\r\ninput:\r\nx=\r\n[1 2;\r\n3 4];\r\n\r\noutput:\r\n\r\ny=[3 1 2 4]\r\n\r\ninput:\r\nx=\r\n[1 2 3 4;\r\n5 6 7 8;\r\n9 10 11 12;\r\n13 14 15 16]\r\n\r\noutput:\r\n\r\ny=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\r\n\r\n \r\n\r\n \r\n\r\n ","description_html":"\u003cp\u003eAs Zig-Zag and Horizontal ... we have also a \u0026lt; \u003ca href = \"Hilbert\"\u003eHilbert\u003c/a\u003e \u003ca href = \"Scan\"\u003eScan\u003c/a\u003e \u0026gt; as shown in this article \u003ca href = \"http://link.springer.com/chapter/10.1007/11821045_31\"\u003ehttp://link.springer.com/chapter/10.1007/11821045_31\u003c/a\u003e :\r\nexpls:\u003c/p\u003e\u003cp\u003einput:\r\nx=\r\n[1 2;\r\n3 4];\u003c/p\u003e\u003cp\u003eoutput:\u003c/p\u003e\u003cp\u003ey=[3 1 2 4]\u003c/p\u003e\u003cp\u003einput:\r\nx=\r\n[1 2 3 4;\r\n5 6 7 8;\r\n9 10 11 12;\r\n13 14 15 16]\u003c/p\u003e\u003cp\u003eoutput:\u003c/p\u003e\u003cp\u003ey=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx =[1 2; 3 4];\r\ny_correct = [3 1 2 4];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16];\r\ny_correct = [13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx =magic(8);\r\ny_correct = [8 49 15 58 59 5 52 14 22 44 29 35 34 23 41 32 40 26 47 17 9 64 2 55 54 3 61 12 20 46 27 37 36 30 43 21 ...\r\n13 60 6 51 50 7 57 16 24 42 31 33 25 48 18 39 38 28 45 19 11 53 4 62 63 10 56 1];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":37163,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2017-05-08T22:34:59.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-04-25T10:12:43.000Z","updated_at":"2017-05-08T22:34:59.000Z","published_at":"2017-04-25T10:12:43.000Z","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\u003eAs Zig-Zag and Horizontal ... we have also a \u0026lt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"Hilbert\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHilbert\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"Scan\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eScan\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u0026gt; as shown in this article\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://link.springer.com/chapter/10.1007/11821045_31\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://link.springer.com/chapter/10.1007/11821045_31\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e : expls:\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\u003einput: x= [1 2; 3 4];\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\u003eoutput:\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\u003ey=[3 1 2 4]\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\u003einput: x= [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16]\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\u003eoutput:\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\u003ey=[13 14 10 9 5 1 2 6 7 3 4 8 12 11 15 16]\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\"}]}"},{"id":42830,"title":"Hilbert numbers","description":"Given a positive integer, n, return h as follows:\r\n\r\n1. If n is not a \u003chttps://en.wikipedia.org/wiki/Hilbert_number Hilbert number\u003e, return h = 0\r\n\r\n2. If n is a Hilbert prime, return h = 1\r\n\r\n3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector. \r\n\r\nExample 1:\r\n\r\nn = 3\r\n\r\nh = 0\r\n\r\nExample 2:\r\n\r\nn = 5\r\n\r\nh = 1\r\n\r\nExample 3:\r\n\r\nn = 45\r\n\r\nh = [5 9]\r\n\r\nExample 4:\r\n\r\nn = 441\r\n\r\nh = [9 21 49]","description_html":"\u003cp\u003eGiven a positive integer, n, return h as follows:\u003c/p\u003e\u003cp\u003e1. If n is not a \u003ca href = \"https://en.wikipedia.org/wiki/Hilbert_number\"\u003eHilbert number\u003c/a\u003e, return h = 0\u003c/p\u003e\u003cp\u003e2. If n is a Hilbert prime, return h = 1\u003c/p\u003e\u003cp\u003e3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector.\u003c/p\u003e\u003cp\u003eExample 1:\u003c/p\u003e\u003cp\u003en = 3\u003c/p\u003e\u003cp\u003eh = 0\u003c/p\u003e\u003cp\u003eExample 2:\u003c/p\u003e\u003cp\u003en = 5\u003c/p\u003e\u003cp\u003eh = 1\u003c/p\u003e\u003cp\u003eExample 3:\u003c/p\u003e\u003cp\u003en = 45\u003c/p\u003e\u003cp\u003eh = [5 9]\u003c/p\u003e\u003cp\u003eExample 4:\u003c/p\u003e\u003cp\u003en = 441\u003c/p\u003e\u003cp\u003eh = [9 21 49]\u003c/p\u003e","function_template":"function h = hilbertnum(n)\r\n  h = 0;\r\nend","test_suite":"%%\r\nn = 3;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 5;\r\nh_correct = 1;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 45;\r\nh_correct = [5 9];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 1169;\r\nh_correct = 1;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 441;\r\nh_correct = [9 21 49];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 45678;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 56789;\r\nh_correct = [109 521];\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 353535;\r\nh_correct = 0;\r\nassert(isequal(hilbertnum(n),h_correct))\r\n\r\n%%\r\nn = 35353549;\r\nh_correct = [49 77 613 749 1177 30037 47201 57673 459137 721501];\r\nassert(isequal(hilbertnum(n),h_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":61,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-04-25T18:22:53.000Z","updated_at":"2026-03-02T11:43:26.000Z","published_at":"2016-04-25T18:22:53.000Z","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\u003eGiven a positive integer, n, return h as follows:\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\u003e1. If n is not a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Hilbert_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHilbert number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, return h = 0\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\u003e2. If n is a Hilbert prime, return h = 1\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\u003e3. If n is a Hilbert non-prime, return all of its Hilbert factors in one sorted vector.\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\u003eExample 1:\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\u003en = 3\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\u003eh = 0\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\u003eExample 2:\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\u003en = 5\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\u003eh = 1\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\u003eExample 3:\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\u003en = 45\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\u003eh = [5 9]\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\u003eExample 4:\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\u003en = 441\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\u003eh = [9 21 49]\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 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