{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","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":"2025-12-14T00:00:00.000Z","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":56473,"title":"IQpuzzler Preparation #2: Detect isolated zeros in a 2D matrix","description":"Return true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\r\nExample:\r\n[ 2 2 0\r\n 2 0 5 ==\u003e true\r\n 5 5 5 ]\r\n[ 2 2 3\r\n 0 0 5 ==\u003e false\r\n 5 5 5 ]\r\nBackground:\r\nThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 312px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 156px; transform-origin: 407px 156px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 7.91667px; transform-origin: 376.933px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 7.91667px; transform-origin: 29.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 7.91667px; transform-origin: 19.4417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e[ 2 2 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.25px 7.91667px; transform-origin: 61.25px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 2 0 5 ==\u0026gt; true\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.91667px; transform-origin: 23.325px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 5 5 5 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 7.91667px; transform-origin: 19.4417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e[ 2 2 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.975px 7.91667px; transform-origin: 63.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 0 0 5 ==\u0026gt; false\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.91667px; transform-origin: 23.325px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 5 5 5 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.91667px; transform-origin: 39.2917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 319.608px 7.91667px; transform-origin: 319.608px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function result = FindHoles1(board)\r\n result=false;\r\nend","test_suite":"%%\r\nboard=[2 2 0;2 0 5;5 5 5]\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=[2 2 3;0 0 5;5 5 5]\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=zeros(5,11);\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\nboard([7 8 20 25])=0;\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\nboard([7 8 20 24])=0;\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=mod(magic(10),3);\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=mod(spiral(10),2);\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":2414210,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T16:12:10.000Z","updated_at":"2025-06-08T09:37:30.000Z","published_at":"2022-11-07T16:12:10.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e[ 2 2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 2 0 5 ==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 5 5 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e[ 2 2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 0 0 5 ==\u0026gt; false\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 5 5 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56468,"title":"IQpuzzler Preparation #1: Find all non-identical orientations of a matrix","description":"Return all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\r\nInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\r\nOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\r\nOrdering of the output matrices does not matter, as long as there are no repetitions.\r\nExample:\r\n{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 2])\r\nBackground:\r\nThis function will be useful for the IQpuzzler challenge on Cody.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 231px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 115.5px; transform-origin: 407px 115.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299.525px 7.91667px; transform-origin: 299.525px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 278.242px 7.91667px; transform-origin: 278.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.433px 7.91667px; transform-origin: 238.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 258.258px 7.91667px; transform-origin: 258.258px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOrdering of the output matrices does not matter, as long as there are no repetitions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 7.91667px; transform-origin: 29.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.017px 7.91667px; transform-origin: 188.017px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 2])\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.91667px; transform-origin: 39.2917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 196.7px 7.91667px; transform-origin: 196.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function will be useful for the IQpuzzler challenge on Cody.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function orientations = rotflip2d(piece)\r\n orientations={piece};\r\nend","test_suite":"%%\r\npiece = 1;\r\no_correct = {1};\r\nassert(isequal(rotflip2d(piece),o_correct))\r\n\r\n%%\r\npiece = [1 1;1 1];\r\no_correct = {[1 1;1 1]};\r\nassert(isequal(rotflip2d(piece),o_correct))\r\n\r\n%%\r\npiece = [2 0;2 2];\r\no=rotflip2d(piece);\r\nassert(numel(o)==4);\r\nfor n=1:3\r\n for m=n+1:4\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[2 0;2 2],[0 2;2 2],[2 2;0 2],[2 2;2 0]};\r\nfor n=1:4\r\n f=false;\r\n for m=1:4\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend\r\n\r\n%%\r\npiece = [3 3;0 3;0 3];\r\no=rotflip2d(piece);\r\nassert(numel(o)==8);\r\nfor n=1:7\r\n for m=n+1:8\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[3 3;0 3;0 3],[3 3;3 0;3 0],[0 3;0 3;3 3],[3 0;3 0;3 3],[3 3 3;0 0 3],[3 3 3;3 0 0],[3 0 0;3 3 3],[0 0 3;3 3 3]};\r\nfor n=1:8\r\n f=false;\r\n for m=1:8\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend\r\n\r\n%%\r\npiece = [12 12 0 ; 0 12 12 ; 0 0 12];\r\no=rotflip2d(piece);\r\nassert(numel(o)==4);\r\nfor n=1:3\r\n for m=n+1:4\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[12 12 0;0 12 12;0 0 12],[0 12 12;12 12 0;12 0 0],[12 0 0;12 12 0;0 12 12],[0 0 12;0 12 12;12 12 0]};\r\nfor n=1:4\r\n f=false;\r\n for m=1:4\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-22T06:34:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-11-07T15:25:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T15:19:15.000Z","updated_at":"2022-11-22T06:34:56.000Z","published_at":"2022-11-07T15:25:43.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOrdering of the output matrices does not matter, as long as there are no repetitions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function will be useful for the IQpuzzler challenge on Cody.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56478,"title":"IQpuzzler Preparation #3: Detect isolated groups of zeros in a matrix","description":"Return true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\r\nThe matrix will always be 3-by-3 or larger.\r\nExamples:\r\n 11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 9 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2\r\n==\u003e true\r\n\r\n 11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 1 10 9 9\r\n 12 13 7 11 13 0 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2\r\n==\u003e false\r\n\r\n 7 10 13 11 5 5 4 1 2 3 8\r\n 13 0 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10\r\n==\u003e true\r\n\r\nBackground:\r\nThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\r\nHint:\r\nThe built-in function conv2 may be helpful for your implementation.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 762.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332.5px 381.25px; transform-origin: 332.5px 381.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 21px; text-align: left; transform-origin: 309.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.5px 7.7px; transform-origin: 306.5px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.142px 7.7px; transform-origin: 129.142px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe matrix will always be 3-by-3 or larger.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 7.7px; transform-origin: 32.675px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329.5px 51.0833px; transform-origin: 329.5px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 11 2 3 2 9 10 10 11 6 7 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 12 4 13 6 1 10 1 10 5 6 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); 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margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 9 13 11 13 9 3 2 1 3 10 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29px 7.7px; transform-origin: 29px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e==\u0026gt; false\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 7.7px; transform-origin: 0px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329.5px 51.0833px; transform-origin: 329.5px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 7 10 13 11 5 5 4 1 2 3 8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 13 0 8 4 3 11 10 1 8 11 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 0 2 11 4 8 10 7 7 5 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 8 0 2 4 9 8 5 11 1 7 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 3 12 4 13 7 12 8 13 5 3 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.275px 7.7px; transform-origin: 26.275px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e==\u0026gt; true\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 7.7px; transform-origin: 0px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.7px; transform-origin: 39.2917px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 21px; text-align: left; transform-origin: 309.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 294.833px 7.7px; transform-origin: 294.833px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.3917px 7.7px; transform-origin: 14.3917px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.167px 7.7px; transform-origin: 206.167px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe built-in function conv2 may be helpful for your implementation.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function result=FindHoles2(board)\r\n result=false;\r\nend","test_suite":"%%\r\nboard=magic(3);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=zeros(5,9);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=ones(7,3);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=ones(5,11);\r\nboard(1)=0;\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 9 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 0 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 0 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 8 0 0 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 0 0 0 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=mod(spiral(20),40);\r\nassert(FindHoles2(board));","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-17T13:01:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T18:17:45.000Z","updated_at":"2022-11-17T13:01:48.000Z","published_at":"2022-11-07T18:17:45.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe matrix will always be 3-by-3 or larger.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ 11 2 3 2 9 10 10 11 6 7 4\\n 12 4 13 6 1 10 1 10 5 6 9\\n 2 8 13 12 0 0 0 5 10 9 9\\n 12 13 7 11 13 9 1 13 11 10 3\\n 9 13 11 13 9 3 2 1 3 10 2]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\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[ 11 2 3 2 9 10 10 11 6 7 4\\n 12 4 13 6 1 10 1 10 5 6 9\\n 2 8 13 12 0 0 0 1 10 9 9\\n 12 13 7 11 13 0 1 13 11 10 3\\n 9 13 11 13 9 3 2 1 3 10 2]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; false\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\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[ 7 10 13 11 5 5 4 1 2 3 8\\n 13 0 8 4 3 11 10 1 8 11 4\\n 5 0 2 11 4 8 10 7 7 5 9\\n 8 0 2 4 9 8 5 11 1 7 9\\n 3 12 4 13 7 12 8 13 5 3 10]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe built-in function conv2 may be helpful for your implementation.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56573,"title":"IQpuzzler Challenge #2: Find all possible solutions on an empty 4-by-5 board with 5 pieces, rotating and flipping pieces allowed","description":"We are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\r\n\r\nYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\r\npieces={ [1 1;\r\n 1 0],...\r\n [0 2;\r\n 0 2;\r\n 2 2],...\r\n [3 3 3;\r\n 0 3 0],...\r\n [4 4 0;\r\n 0 4 4],...\r\n [5 5 5;\r\n 5 5 0] };\r\nPlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\r\nYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions and without symmetric solutions (180° rotations or flippings of other solutions).\r\nFor example, the solution above would be represented as\r\n[5 5 5 2 2;\r\n 5 5 4 4 2;\r\n 1 4 4 3 2;\r\n 1 1 3 3 3]\r\nPlease provide your entire search algorithm, not just hard coded solutions.\r\nHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on https://github.com/deverw/IQpuzzler","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 973.417px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 486.708px; transform-origin: 407px 486.708px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.4px 7.91667px; transform-origin: 376.4px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 245.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 122.958px; text-align: left; transform-origin: 384px 122.958px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 320px;height: 240px\" 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\" data-image-state=\"image-loaded\" width=\"320\" height=\"240\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.192px 7.91667px; transform-origin: 380.192px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 224.767px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 112.383px; transform-origin: 404px 112.383px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 7.91667px; tab-size: 4; transform-origin: 53.9px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epieces={ [1 1;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 7.91667px; tab-size: 4; transform-origin: 69.3px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 7.91667px; transform-origin: 57.75px 7.91667px; \"\u003e 1 0],\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 7.91667px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 7.91667px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; 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border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 73.15px 7.91667px; tab-size: 4; transform-origin: 73.15px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 5 0] };\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 361.617px 7.91667px; transform-origin: 361.617px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.042px 7.91667px; transform-origin: 363.042px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7px 7.91667px; transform-origin: 58.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall valid solutions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.5917px 7.91667px; transform-origin: 62.5917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewithout repetitions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.875px 7.91667px; transform-origin: 94.875px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewithout symmetric solutions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.0417px 7.91667px; transform-origin: 93.0417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (180° rotations or flippings of other solutions).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 178.167px 7.91667px; transform-origin: 178.167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the solution above would be represented as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[5 5 5 2 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 5 4 4 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 4 4 3 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 1 3 3 3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.9px 7.91667px; transform-origin: 229.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.95px 7.91667px; transform-origin: 373.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://github.com/deverw/IQpuzzler\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://github.com/deverw/IQpuzzler\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function solutions = IQpuzzler2(pieces)\r\n y = x;\r\nend","test_suite":"%%\r\npieces={ [1 1;1 0],[0 2;0 2;2 2],[3 3 3;0 3 0],[4 4 0;0 4 4],[5 5 5;5 5 0] };\r\n[r,c]=deal(4,5);\r\nboard=zeros(r,c);\r\nnsol=14; % confirmed by brute force\r\ntic;\r\nsolutions=IQpuzzler2(pieces);\r\ntoc; % Just curious: Can you beat 1s?\r\nassert(ndims(solutions)==3,'3-D array expected.');\r\nassert(size(solutions,1)==r,'%d rows expected.',r);\r\nassert(size(solutions,2)==c,'%d columns expected.',c);\r\nassert(size(solutions,3)==nsol,'%d solutions expected.',nsol);\r\nfor n=1:nsol\r\n s=solutions(:,:,n);\r\n assert(isequal(board(board~=0),s(board~=0)),'Solution %d: Fixed pieces on input board expected.',n)\r\n assert(nnz(s)==r*c,'Solution %d: Full board expected.',n);\r\n bsum=0;\r\n for p=1:numel(pieces)\r\n piece=pieces{p};\r\n pn=max(max(piece));\r\n bsum=bsum+pn*nnz(piece);\r\n assert(nnz(s==pn)==nnz(piece),'Solution %d: Number of elements of piece %d does not match.',n,pn);\r\n arr=false;\r\n orientations=rotflip2d(piece);\r\n for o=1:numel(orientations)\r\n if nnz(conv2(1*(s==pn),rot90(orientations{o},2),'valid')==sum(sum(piece)))\u003e0\r\n arr=true;\r\n break;\r\n end\r\n end\r\n assert(arr,'Solution %d: Piece %d arranged incorrectly.',n,pn);\r\n end\r\n assert(sum(sum(s))==bsum,'Solution %d: Original piece numbers expected.',n);\r\n for m=n+1:nsol\r\n assert(~isequal(s,solutions(:,:,m)),'Solutions %d and %d are identical.',n,m);\r\n assert(~isequal(fliplr(s),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n assert(~isequal(flipud(s),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n assert(~isequal(rot90(s,2),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n end\r\nend\r\n\r\nfunction orientations=rotflip2d(piece)\r\n% Returns all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\r\n% Input is an M-by-N matrix. Output is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\r\n orientations=cell(1,8);\r\n orientations{1}=piece;\r\n for n=2:4\r\n orientations{n}=rot90(orientations{n-1});\r\n end\r\n orientations{5}=fliplr(orientations{4});\r\n for n=6:8\r\n orientations{n}=rot90(orientations{n-1});\r\n end\r\n d=false(1,8);\r\n for p=1:7\r\n for q=p+1:8\r\n if isequal(orientations{p},orientations{q})\r\n d(q)=true;\r\n end\r\n end\r\n end\r\n orientations(d)=[];\r\nend\r\n%%\r\nfiletext = fileread('IQpuzzler2.m');\r\nassert(~contains(filetext,'str2num'));\r\nassert(~contains(filetext,'str2double'));\r\nassert(~contains(filetext,'regexp'));\r\nassert(~contains(filetext,'evalc'));","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-10T17:57:09.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2022-11-10T17:57:09.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-10T10:54:03.000Z","updated_at":"2022-11-10T17:57:09.000Z","published_at":"2022-11-10T11:58:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"240\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"320\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\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[pieces={ [1 1;\\n 1 0],...\\n [0 2;\\n 0 2;\\n 2 2],...\\n [3 3 3;\\n 0 3 0],...\\n [4 4 0;\\n 0 4 4],...\\n [5 5 5;\\n 5 5 0] };]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall valid solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewithout repetitions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewithout symmetric solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (180° rotations or flippings of other solutions).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the solution above would be represented as\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[[5 5 5 2 2;\\n 5 5 4 4 2;\\n 1 4 4 3 2;\\n 1 1 3 3 3]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink 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4Y3Jzjmt3wP4wfTLySNJ/L8wbSM4yPSvQljpQg5I8f6jGVVKR7fbzk54x7CpUZppAiAk9AAM1z2mav5i70fqMcVs6F4gbRNUgvAiyeU27awyDXzMsc3eXU9+GDjdR6C3yvbsUkRkcfwsMEViXlwFzWv4s8TNr2qTXrAI0hztXgCuPv7zc2Sa2w+Ocopz0NMRgYxm1B3RW1K6GDzXM3F4Q5wfwq1qd7gEZ7Vxupat5UhwcGvXpY5dDz6mX8y2PZvhrcS3hkjhi819pJAXJAHeusjkPmEdPYV4R8O/GjWeovGs5jdhj5WwSPSvXNO1LzsOrc+tedjczk5qD2KoZXGnT5kdJCxkYKoJPQAUX1vNZyFJo2jfGdrDBqnY6o+n3Uc6H50O4GrfibxVP4ivPtNwR5m0L8oA6DpXn/XpKaS2O+OBhKnJyevQyrm4Hasq7m4OeKdcXQrF1G+CqeeK9WnjY9zg+oyk9jC8SXpWNsHt2r5P+O18smq2zg88ivffHPiAW8L4fHFfIXxZ8TfbdcijDfc96+vyzHLmjc9PLsrlHEqaRWtLiWZ/LiyWYY2r3qzouk3Go33kRqzSHgKBz1rndL1J7e4jkjkKOpzuHGK9A+GXj2Lwb4stdXuoluFt5hIVZQQxHSv2+jmfJSvDV2PusPhIqdpFbxF4fvfDMgS+geA4yQykEfhXL311Fx5cu/1GMYr239o39oWy+MF8l5Dp0FjiIRlY0Azivn+KVG3HGR19K6cszariKPPiIcj7HZjMLCnO1J3Q97zaBkHFZ818/nKYC2/ou3rUlxdKAcdKxpNQeCVZIztdGyGHauuvmcYrcxp0T0j4Z6pcSa00UNmk07RMpQJknjrisy6nlbVriKOPa7SMCijnr0xVP4a/EK98G+KE121kUXsWfmYAg5BBGPxqVPEVxceIn1VSqXUkxlyF4GTzx+Nedhc65qvL0saTwkUuY6Xw7pV3qtwtvFG0krcKijn6Vc1bT5tJuXtrz/RZk6rIMH6VvfB/x+ngz4gaZrNxbQ3K28okZJANreta37UPxP0X4n+MBqmk2Menhx80cYwD710POqixdOioXjJavsbfU4OjKV9UeRXF0GY4YH6VWa8C4z0qLevc4qC8nQRnB+lfSSx0Etzy402JfXCyxtg8VzmqWf2GYhwC5XO30rVjY3DJAgy7mqP2drq+dHJODivyvi7MI1cP7Jdz2cFT5ZDNNs/PXLKPYV0miaDFeXaxuCM8DaKk03wrdXKztZo88Nv80pX+Bcjk102i6f8AZ3SRUPynPWvxiV2tD21ZPU9E+E3wl8P+L1kkvdaWyVUzuCjr6YrR8dfDHQfB+lr5+tw+egZh5ZBMi/wivnjQNY1WC4hsop5IhuwEZioH+Fdzc6Lc65Ky6lfCadFARYGDs/HTPQV9XB0JUORQ94+XqKtGsp8/unDeJLqC8vClqmYUOA+OW969z/ZY+IUvhu6l029fZp90/wC5LdFavJ7vw1HDIsIPlpnLDIJ+hNblvClusQhygQfKF4x718visOpRdOR7GmIp8r2Pv+HUBJGGByMZBFRzTM3Tmvnr4WfHSGyEWleIZNsY+WO69PY19B6XJHrCx/YGFykx/dspBBzX53Ww9XDVOSR8njMLLD620Mm+ZjmufvOc7uBXS6xG9g0iSLhkODXDa5r0NspDNivSwtNy1Pl69ZR0aMPXr4RZAIBryb4lfESXwjY+bbSBbxuI/ar/AI++JmnaJHI0kyvKPuxqea+ZvFfiq68Xak88xwvREHYV9NGn7vKzXKssnjKyqzj7i/E+xP2X/j/L4zjl0jWZlGqRHcjDjzF/xr6aW8E0QIPNflX4T1ybwvfQXtnuhu4mDLIp5+lfZ/wf/aO07xVDBY6lKtnqWNuG4V/cV8/j8HKMuektD6fMMu5P3lFadj3yZnKmsW8Zua6HT7OTV1AhAOV3ZzgYxXP6zutN25SK8mnCTdj5z2nKtUcvq0+xXz6V5d4o1r7NISGArpfGXjG00+OTzJAm0ZJPGK+WviZ8XFv5JrXTn3Z+VpR0H0r3cNh5X1O7D05Yp8sEN8afGbVtN8Rf8SW58owHlgMgn0+lfX37PHxeHxD8Jwy3DLHqcI2Txjjn1+lfndZrum82Ubz1PvXo3w7+I134F1yHULJvLYYDxn7jr6V04zBKrStFe8fYf2bS9j7NLU/ThboPEDmoJrglTzgV5R8N/jdovjSxi8u4WC6xhreQgEfT2rvJdViZNwdcfUV8FWlVoy5ZHirA8jtJE91c4HWua1rUBDCxJ/CjVvElraxktKo49RXjXxI+L2naPbSlrpA2OFDDNdOGdWpJJHXDBQ3sc78XfGkdnDL+8AwOa+VtYvJtbv3uASSzZH9K1vGnji58ZagxG5bbPC+tULVxbqB5YxX6LhITo01fc9bDYWNN8zQRSvHtB4NasOryi1MBI8otvK4GelZV1JHJynB7io4bkI2Ca+5wGac0FCb1OuVHlldG9Or3FsZwhMSnaW9OKyZnZc44FL/aG1cA8enaqc14D3x7V7azGS6g6EWEhwu4tx0/yKzZmM0myMbvTFOmmMzYB4qezjWE7sZauDF5ry09HqTGjZ6EemwzxzlXXaG6ZrYt5zGw7EVWu50ePJGw+o9ahS8Lbc9v4vWvDwGZSjU/eG1SmraHUw61IRGrEbUGBjAxUN9JLtDurAOPlbsax7dmkb5RXTXHg/WI9Ft7+S3kFnLxGxBwfXFfe0cU7KSZxOLd0YDXLswGcVXmlkJ2j5j6CluLaeNgpGOeO1Vgr+aVzjBxxTxmPlRhdyM4U+Yms7eW4csh5UcEVNGps5A+7ccc47Vp6dJHbwhdmPU+tNuLXzGaSNVLY+6a/N8bi5Yqd3sd8IKK0Oi8J65DHeRuQu/K5WUZQ/UV9ReF/hL4JvNEtb+48UwgyjMsagDyzjpXyl4Z8Lf2zkm5S0Ze8mcfnWhcafqljbyi1u0njUlSI5M/jW2CVOm+epHmR52MdSouWnPlZq33iIaow+2WFpdSKP8AXeSA35jrUCXAfJWFYR0+XPFcRZ/EbWYmJtBbxZOcCEH+dblv8aNU2+Xqml2GoREbSWt/Lf8ABlxg14csVXjsj1lhaJemmEch3n6Yq7ZziYDoBjg1T+3aV4mAfTWe2lAy9rMRkfQ9xXpPwP8AhTcfEPXkgk3LpluQZ5AMZ5+7SjV9oZ13HCwc5fCjK8I/DXW/Hlx5em2rGPOGmZSEFfZfwt8E3HgPwnZ6bNKbmaIZMnpnsK7Hwz4PsdBsorOygS3t41wAoA/Guph0m0+zliJJWx91RxXTHD0qludXPxrOuIq+MvSw+kfxPPdatxfIUZFHuBzXlvjD4fy30MhgfD4OPrXsmqRvC53RFB1AIxWBdYfKmvXjhaHLblPzmeMxKldyPzb+K3w18R+FdZnl1KGSWB3JWdeVI/pXEWsHTjmv0u8VeGbLXrGa2u4EnhcYKsB6V8R/Fr4WyeAPEB8kFtOnO6JsdPavPrYX2fwbH7Fw7xNDHJYauuWa28zz+K1JxxXtXwd/Zx8R+OL62vxnTtNVlcTsCC3I+6K6X9lr4Gr4+1Ua3qsO/SLR8JGw4lcf0Ffeek6Hb2NvHFEiwxoMKqrgD2rBU4vSR2Z5xB9R/c4dXm/wMfR9Nk0fT4LdTuMaBdzd8DrVHWLV9QUiVVxjHyrXe/2VF9mJQNI+Ow4Fc7qFpJGcOhX6iu/D4ejFaQPxjFYnFylzykfOXxf+C0vizR7mKxm8mdl+XPA+lfD/AIs+Hur+B9Ve11W1eBwflZh8rfQ1+p9zGpJDAV538TvhvpnjjRZrW8gVyR8kmBuQ+1bVMFTavDRn0PD/ABNXy+fsqy5oP7z85YLXcOOKsC2K9K6nxX4NufBXiC4024HKMdj4wGXtVzwt4X/ta5EjrmIHgetePUgqUXKR/QeX3zSUI4bXm2IPA/h3V9Vvo1s3e1XOfMyRj3r3/SIdY0mx8ubX7u7wOdxGKreEfDaxbRGFiAGM16Xa/D8XOkOYDJcXjD5Qo4r4/FNYmdoo/a8NwfhcPSUsW7s8a8S2Nxq0bq2o3qE91kx+leKeK/h7dQTmYXkl4PSQkmvpfxN4G1/SIDJdWrJH/eC9K8z1G13M6y5z06V3Yek8O7WsdlThXLqtO9JfceHQ2LQSbHXaR6irssPyjjtXYa5o6NlgOR/EBXOyQn7uORwa+hotTR+T5xlVXK6lnrEwpoSeFGT0GK2dF8C6hqyhmUwRnu3Wuw8H+D1mZbmdNzH7q44HvXsPhvwqt0MAKoUdW4ArgxGJjRlZH1/DnCdTMoLE4n3YfmeO2fwfV4TJJJI6r17AVFdfCez28GRT9a+qh8LWbS1/s5Xu7luSqpxXL+JvhzrGkW4nvbCSCPoGK4FZ0sZXqR5lsfo8eG8mgvZ8qufLGo/D2bT8tCxkHuOawpLZ4mKsuCODkV9CXVmgZ43j3A9MV594q0KNpGeJdrAV0U6/tLcx8XnnCMKMHVwnToeazAstU9jbsD8q3bi0KnBHSoYbZV6Dmvr8nyOtnFdUqW3V9j8cq1vY3jLdBp8ckYHPPau+t/Hms2WhRWRl8yzX7kci5A+lY/hnw7Lq04RMAZxk16MPhNqE8McdtC1wAMnaOK/ofA8O5dltONKouZ+Z83icY7ttnkmo30t87M4XJ7AYqlFGAwHQ16P4v+Fup+GVEl1blEddwOMCuDksHBPHSuzMuG8tzahyW5X3Q8LjItXgyReBipUcqQQaaskbQKMbZRwfQiqd9fpZJk8nsBX8355klbJcQ6VTVdGe9RrKqvM34bwphlJU4x8pqxHfvHyvBrgP7cuJZMA7F9BUi6pcLj52/GvmVUlHRHTyRlqw0tCWDdFBHSux0/wzca5ZsA7eWpyq7e+K5qwhaNYsx4xn73pXt/wS8eWPge7upb/TIdSjktZIVjmXKhmBAf8ADPH0rz8TzqLcUdlHlbszzjwv8O9b1jxJZ6Zplu819cSeXCqcHd6Gv0T+AvgNvBHgm1t7qJU1CT5rjbg/NXwDrHiGVPEUE9pI9v8AvlO6NypA3DjjpX6U+DbhJPDunMgAQwIQB/uiuWnOompSPlOKJ8uE9nDqzqF2IuSM+1WB4ma0j2LAvpms7eZOFyT0AFULrcmQwI+terRxfs5Jo/FpYVyWwzxFrbaoy7o1QKMDbXHahJtyc1q38+3Nc1qVzgE160cU5u8jzamDK8lxu4PTpVPUPhhpnxAsTa6hbCeHOR2K1TkvDu2g16D8Pb1p7aVVI+UZbpWzrwim5HDHC1o1YulozW8A+D9P8D+H7fTNOgENvAMKv9c+tdSsgXkjPsKo27dR1qcNuwAMnoMV8/LEqUro96VKpN81R3ZpJ4gktYiixL+NY2tay+oAb0VNox8oout8bbXBB9DxWTdTY4FejRxr5eVPQ46uGd9TLvhnkVgX0xAYGtm/m2qe1chq15s3c16EMQranPDBc01ZHz9+0r4aS8Wx1CBB5yyCNsehOBUHhrw3BpekRBYwZFXLflW98WNUjmtYkcjHmrgfjWVZ3jvGyIeCMYHpXzObVrxSR/X/AISYBtynP7O3zNPR7iOObc74Un7teveGfixb6HZiI2CuVGA1eF2Mck02xFJYnjFa8i3WmtsnRox12sMV81h8SsPUUluf1HjcDTxVP2c9j0f4gfG7+3rE2senxRDGCSM14VrEMVw7SoAGPJX0rV1S9hNqxDZZjx7VzFxdMFNepXxlTFSUpnk4fLqOBpuNLQwtSsvMzhcn0FVPDvhF9dvJIYrcyuo3njoBUl/qEnmYQkHtius+E+uanHr8sFkgM7xFSAgJK4zW9Or7NXufPY3C0sVL2dSPMXtA0sW77GX5k7YrrtLuAkhMjbIc52qK56S8mk1CTcAkmcfKMVo2OZJ1jUFn6AV4FaopS5j9JwmGhRoRhFWVj2nwv8bk8NWpgh0xJI9oUNnB4HWqfj744XHizw82nGwhgT++OTXmd5DPpyhpomQYzhhjNY11qwkyFXaK9TDZnVhR9jB6HiV8jwdausS1eS8ynfBM8AZrkta037VMqRDLscBfWuhvLhiOAK5fVrx+ccMOhFKjJ86YY+K9m0eW+LIX0/UmhYbDnBHpSaXaecyHGcdqk8cecNSjE4IlPZutGms/yJECXYgAevtX9K8G1qVPD80d2fyRxLS9njZqJ2Phu6XT2DthV3ZCivZPDfx0/sW0+zw2Echx/rH+leN+G/Cuo61dSRQw7mhGWXv9Md6seINPvfC94bW9tJbeXHMcqlSP0r9FnVo1Z8spas+Iq4WVSm+ZaHdfEj4xXPjTS0sriKMFOFMa4xXkl8qbgF54p0l2S3Tmqs8jMMAV6FLlorlicVGhGirRM68gUDd3HpXKXys9w245HQV1M0xkV19qw9SjjM0flA52fNn1r8544jTrYNSe6Z9JgW1KxRg05pGBQ7j9Olatnoss7AY/CtWzt7aP/j3LsmB99QDnFdRoVqsEyTPGWwcgEda/nyaa1PoY2bNDwd8J9c8VRmWx02e5jXq0cZPatC+8B6vo8hWbTrmKTHRoyK3Pg7+0Tq/gmyGmLcpHaznbJKY8soxjit74ifHZ/FyrY2AuLyXbsUxrtzxXvSo4X2F7+8fP+3xPt7WXIeB+JoZbO6jD4V852+mPWv0N+AfjSHxP8NdFuI5AzpCsUi55DKMEfpXwLr3hG+sZjJqB23k3zCDOSgPrXtn7OPjYeALhdKu5T9iuiCWJ4RzXy+OpONN9zXG4f69RtHofdvhfxKmg6xBfNClwIzkxv0PFU/FniJda1CW4SJYFc52KMAVykGorJEGVgVYZBHemTXDOp2gnjJr5SNdOan1R8RKhOnB0WtCLUrzIAPRRXKandjBOa0tQnPNcpq0xVCScV6tPFS6HF9RizIv9WEMh5x6Grng/4jQaNfGKedY1bjLHArz7xRrHksRuxivnn4p+PJJpvsFnORg/vGRsfhXbedaFjow2V+0rJRP0x0DXotUtVmgkDo3RlORXTaLrX9k6hBdGJZfLbOxxwfY18F/si/GiXS8+H9au/wB1I+baSV849Vr7Ph1JZ4VKkEYyCK8OtKWHfJM6MVlcsPUudBrusnVr6a6KqhkbO1RgD2rnbu4AzSTXJ2npWReXXynms6WYQpLlTOOpl860udrcralejaecV5x4r1oW6Pzium1rUBGrEnt0rwr4l+LFto5MyBQOvNelRzB1JWid2Fyj3k2ea/GLxl5f2dVfJ85Tj2BrofDurfabeORHGHXOfwr5/wDE2tP4l1nKt+6Q4Uk8H3rvPBWsG3tktXlyyjA54rfGU3UpKR/RPAeLpZfifYz0Ul+J9GfCnWtM0fxdbXOrIslrEdzBunaun+OXxB0TxZrSXGjW6w2yps4XGfevDbXU/MjC9/Wp764Zo8feAHavkJ4fmqqbex/RVSjGpUjWvsMupg7t6Gsm8ugq4zSXV58uM1mzDzPmZgFr2aeljkxVRRjcxNUuNnzA4561c8A+KZNG1w3MUxSfBGQeTn/61c54u1dI1CR4G2uT0u6l+2i5MjLg8c4r1lRdSFj8rzDPIYSsmz6JtNUe4u/NJ+cnOa6rwvrsej63bXk8azLFIrFGGQ3I4rybw/riXUCOrDcOo9K6yHVmZVQ4K57CvnatPl90/YMux9LHYaNSm9Gez/GT4qad44uo59O0+OwiESoY1A6jvXkZuRySajuDJIvmBGKDgkDgVk3Mr+hFThqSoqyNIRhh4ezhsXbq7XaRXGa5qAUSfNWjeTsq53Ff8K4fxRrCKvlxnk9TXvYem5O58pm+OhQpSk2cvrupPqGqozuXK9yc9K0LCc+YhVtrDHTqKyJoYlPmry9TWlwUZTn6V+pcPZj9X/dn8v5vN4qvKqes+BfGl34N17T9VMZmMc6ynf0fBHHvXs37Q/xl8PfHRI9Xj0+PR9ThgCSLkfOQO1fLkWsyNGkbOSi8gHoPpViX7ZcWYn2loSdoYGvupSpYitTxEnaUNjyaVaUYOnbRjmuFDE5qKWYeXkVmyM0chD8EdailutqkZFfTTziMY7nmfV+Zjri5CHr1PanzNaNqweEMbfAA3denes+AGeYE8qKtSW5DAgfL/KvzDiHOHi/3MWepQoezakdfosMZmGUWRf7p4Br2Dw/8I/EeqadBdQaZcPbyf6tgpxXhmnajfQ6eojtQ8KPkzKhz/u5r2vwf+1P4h8M+H4tLWVVghxsDDJHHSvk8HRpSn+/2JxlStGH7jc88vPAegNceZZ3t5aqDzDMgYfTINdxovjKy8L2K2+m6PZidFx9oZCW+tcXH4+8LRziKS6uJE6kww5/KugtdY8Da5+70/wARG2uHAxHqMBjBb03DIFeIs0qUndR/A9SWXQqqzkc7qt3c+INSaZzukY5PGKsQq0aBeSV4z6Vp6l4futGuFaVF2SLujkiYMjj1BHaq6gt8wTn1FclTEPEPmbOqGHjQjyxWh6j8OPjtc+F4U0/V42vbADCyf8tI/wD61e26R8TPD2vW6ta6lGSRyjMFYe2K+b/C/wAL7/xFia5Vra2OOWGCfpXpWk/CPRNLUN9nM0mOWdjXp4HhnFY1+1pwsvM/P8/zTK8PeFSfv+R6HqXiTTolLNdRAepYV5j42+Kmg6XC5kvoc4+6GBNW9U8D6TdLse1G3GMZNedeKvgHouqo7RCS3k9VYkV9E+EcZTjdJM+Dw2e5fOpy1JNL0PIPiB8YX1eaSHTMojZBlPp7CvM1je4kLuSzHk9zXd+NPg3qvhPfPEPtdqOSyjkfUVxls3zEHg14VbB1cLLkqRsfrOWzwlSkp4WXMixatJbSI8bMjpghlOCPQ19HfCP9qy88Oww6d4iDXVsvyrcryyj3r54Vegre0Pwbd6zInymOMkckf0ry8Th6daFqh7VPCSx0vZ048zPv3QfjB4b8TWiy2eqQNkZwzAEe1JrHjzSLSMs9/bgY/vivljQ/hvZaLbjJeWUjJO4gVW1jwrZXKlWRwP8AfNfFSy+n7S0JaH0FPhDF8t2rHo3xD+PGhadHIsV6k8mMbYzmvmLxp8QL3xhcuF3RWx6Lnk/WtTXPh7bRszQMwPoa5C90efTWG9cp/er6bBYSjRV1qzjr5FicEuacdCK1twvbFXIppLWQSQuVZTkYqK3ORUwUswULk9MAV7fJdanmxnKEk46M7jwv4y+1SR20/wAsx4B9a9H0rS7zVQ4ijd1Vdx2gkV5d4R8F3DX0N3ONiqdyr7+9e1+GvEV/4fkL26rjGGUjg+1fMYzDrm/dn9D8K47H4jCP6zHRbM4nU91uxUoQR7VxHiHxF9hVlzhq9d8beJ38Sbf+Jfb2m0YPlJ1968f8SeFXvMuDhu1bUcOk1dnTnGIxfsJOlDU4e6vpNQlLSH5ewpq8CpbjT5rGXy5UKnoD2P0o8o44r6GEUlZH88YupWlVbr/EWNN1y60e4WSJzt7qehFek+GviFYXGPPPlSdMN0zXmtjo91q10ltaRNPM5wFUf5xXr3hP9m25vY0k1S4Me4ZMUfb2zUPLXjH7sdTow3GX+rUb1Klo9mb8Xi20khKifMZ7BuDWbf8AimyjyS6gema7nT/2d9EtYQNszY4J3mo9Q/Z50O4U8SqfXea0hwzid9DoqeNeVNWs7niHiXxpbyDbbtuPTiuHnuHvJC7nmvavFH7Oj2sbyaZOzlRnZJXkOpaLd6LdPb3UJikU4wRXR/ZtTB6TR5M+M6fEStSqadjKkyMdhTYrhkPPSrMkJcGqX2SSd9qcDoT6VdKjVdRKitTn5lb3jWs5zP8Ad5xxXYQeG9T/AOEZOpiKX7KZvKXAO3dj+eK5DTbJ7TgHvkmvRPDfxC1bw7pghi8uW235Eci7l3Y64r9fy7IMzq0IyqRszyqlanB6HA3SzRM25WHqCOlWdHj024tL6TUJpEnWP/Ro414ds9/QVpeINa/ta9e42BWk5YbQBmsRog0m5Fx/s1rnHD2ZUsO50VcKFZP4lYdEMYxxj0qeOcjg81AMjincLkkjFfjtSM4ytUVmeimraHY+GfGs3h1HSOCGWNxgq6gg1T1K+sNSkEnkC1PcQjg/hXJnWoIW2g78elKNeTcMxtil7ZxXKR7GMnzFG1tYWcAFs4Gcjv3FWZNHeM5QlvTiixh2xpI3IY8YI7V7P8EvhzD8RNaaze8trIRwvO8t24RAFGcV49eoqUeZno048zscH4J8VX+g3C21yGu9NbiS2kJIA9V9DX0b8M/h/DqsiahMhksc7od38foTXlq2dn4W8d2FvBYW2qz+f5QjnyYn3diPbNfXmg6cLLTIIvLSMqgBVFwBxXqZBgo5hi1Nr3FqfN8T5lLLMC1B+/LReQ6209MhcBEAxjGPwroLPR7X7Pk27ytjjH0rPVlh525+tXI/FU9lGQkanjAr9zjaMVGGiR/Nk26knOpq2cZrFnLbzEtE0QJyARisKaQZIau18TeJH1pYw8KR7FwNorg9Q+VmrvhPTU4HR97QzNWs4riNlZQynjB5FfMvxZ8CJoOoHULJNtvI3zoBwpr6WmlLAivPviFYrqtlJasP9aNo+vavnM5wtPE0Xdan3PDmJrYPERcX7r0Z4/4B8KPrki3UkZNupwCRwa908M+HIPtCxuViVRk9KPDPh1NF8KRxRKoFuihjxy3c1c0qaGG4Es+ZP9kccV/PuY1JKpyXP9COEcmpYbAqs178j0rRPAul32lyTlZ7mXBCqinGcV5N4r0TUNNkPnWMlvGc7WZCMivcfBvxwsPDNo0DaWWTGFKnmsX4rfGLTvGeixWlvpv2eRT99sVthsHQlQdWdT3uxtWrY2jjPZKg3B9ex83agFkUqV2kd65jVLOOSFlKgg122qQIZCVrmriyeeR1QZwDn6VlTl0R2YmlCUeWSPNrzT2sbjaASjHjHau28A+FTdTfaZ4+/wAisP6V0fg3wZceIL2TyogzRKX5A4rudF0J7WYpt5Xk7sCuqtiHCjpufG5dwrTrZj7WT9xa2L/hvwul1MkZKxr1LHsK9Ps/hRYXWhyT25kubor8ixpxn0rg9LmjhuA8pO3ptXivZfBPxttPDNmLd9O3QqMKVIz9a8agvb1VGcuVH6nmEa2Fof7LG7XRHhHibwTqGl/Nc2T2w6AspAriLqzj+dWGG+lfTXxX+M1l4u0NLGDTRA2f9aeoFfP2pQoxOO9eriYUsPNRoz5keVg6+IxdFyxNLkfY8x8SaPHdIygZI6HHeuEa3eOYxEfPnAAr2ddONxeMqqDtGcGuVn0JJfGdiQoCM3zDtkdK7sHJyaR+R8ZYelCDrxWsT1f4L/DuHSdNjvJ4w13MNxYjp7Cvb9O03zGCKABWH4YtVt7GFVAGFrp7R9jZLYHoK/Q8LGNKCUT+CM/zKrjsXOU3oa0/hxYtPEqP5khwdqjisK60+WHBeFkHuK6/TPFkenRhRbB+MDNQeIvF6atYrb/ZUjK/xjrXrU0uW8mfPe7umcDdWytkEV5X8Ufh/b+ILGSRE23KDKOB19q9fudp+tc5qsYlynrxWNSMaseSR7WWYyrha0atN2aPiTUreSxvHtXXa6naasW8O2MADArtPi1oKWHiQzqABL1A9axrCx+1bUTGcd+K+k4Sy2lSqyr1VdrY/o2ljliMNTrd0P8AD3h+XW7wRKVjA6s3AFd7q3wpu7SzgFiGvmblkRSccda5rQZEs7jfM5RM8hOtez+Gfj5b+HLVoYNIE7bFRZHIzwO9frNavVi17LY4a9WXK5RWp4nrngPVdJjEt5YTWqMMqzqQDXMmykjbPcV7f8Tvjde+P9PgspbCCzjhGAU+8a8qm2n8RXdRxE5w/exsRhsRVcf3isYmoSiVUbyxGyrg7eh9652/vGnYohwg44711V9t8tsYrlLiELIfc5r8R45ymnTSxtFW7n02CqX91lSOFvM6e9XI7ctWpZ2v2iJS/pkDFP8ALWFWC8fyr8WcWexojQ0fQ2kwu3cw74rrNMS40VC0b7D044r234G+Gfh7qGhzy63cSSX7nbFHGcMK1Pit4L8F6RaedYGZwq8L0Le9etLLU6HtZSR4v9o8tf2KTPDfCNwL/wCI2gtLJvJul3Bq+4YTujH0r8/rHWhY+L7G/s4CsNnOJMnnIB7/AIV95aLqSalpdreRHMc0auD9RXqZBOGHconyfFtOeIhCfY0Wi3rwM1m3kezIPGK9H+G+qeH9Jmnudcg+2J5bKsPo2ODXC+KL6LUtSmnghWCJjkRjoOK+2hjr1vZW+fQ/N5Zb+4VbmXp1OT1Biv0rmtQb5c102qOGVVC7SowSO9czqGFU7q9JYpWOD6rqc7POVY4PtXFeKr5Y7i3BI/1gz+ddDrFwYSzZwB0ryjxzrgt187dxEd1ePmGKvTdj7fIcJH20XJbNHqcc7y2rgE7cZIHSlsLaSX7i7jWDoOsNqGkxTwtlZEBIX6dK9N+C/iTQdB8VWs+u232qzU5eI9DX865hUlGpKR/o1ldWH9nwnTV/dX5HKXatb8MCp9Olc3qV9JIxQ4CrxXpXxd17R9a8UXl1o1uLWyZyUjHQCvKdRuFkmJC4FcuFrupFSasdUZe1gptWKV2zbTzXN3E0n2gojYZjjjitq8uAVI6CuV1KQpufdgdjXs05dj5rHSUNWegfC6TUJtantLaQJIsbE5YAYFdXCLm6umxln6Haa8T8L+KYdH1EvLKULDAOa9X8I6vHeTBA/wAsnRgelc2JdTRdDoyPEUZSkk9To7OGR/uqcjjFT3Qlt/kYbD6EV1XhDxJpPhLULVb2EXipKHcMvXFJ8ZPG+leLPEI1DTLKOxgKAeSoHUd/rXhfWJwqqnyn1c8Q5VFBR0fU871O8kkABIIHHSsS8YleDirF1dbpCScDtWXeXQ2kA4xXs05dzlxCSizIluXjuCA2D0z0rIW/EPijTVYjLSAVJqExXfJngd+1cVNqm/xNpzK2RE4Jx9a9zCzcZJn4Vxk4zoTguqPs3QrjzIY1U84GK6K33vJsAy3TFebeE9aWa3hbd26ivR/CfiBNI1y0vZYluEjkVyknRsHoa+7o4q8OZH8AY/BOOJlCWmpdvLeaxUebG0ZIyNwrPkuCy84r0P4ufFLTPG8kMlrpsNkY02lVAyeK8mkvAD6Ct8FjJ16fNUjyvsc2YZfSwlbkoz513LFzNwea5nWbnarYNX7u/HY1yHiLVPLjfnoK7ZVktTbBYdymkeQfGKTddWwJ+bNcjYszMip95jgYqT4gas1/rCKGysZqlp7+bIq5xn0r6XIczjGUoXP3zBYaVLA04s3rOwuLjUktIo2luGfYEQZy3pVvxRpup+Fbxba7t5LOcAZWVNpH4EVc+H3iC58E+MdL1pYll+yzrKvmDIOCK7j9pb42r8Z/FS6iNPgsgsaoFiHXA71+gf2pV+sUqcIc0Xu+x6VPD05UpTlLVbI8f+0PM252JJ70jqCvWo/OVAKQ3G4fKK+iliopHDyu+hVkAyy5qitrFDqVubuBprdvmKKdpcegNPuZjuI/CkutSuLr7P5jbvJQIgwPujoK/MuMMfCWEdK+rPXwsZKSZes7N2yAgVegXOcCtweDJZoUZJFIcenSs3S9WihYO45r6o+D+s/C+48IRHWYi2qKfnUtwfwr8dwdBYifI3Y6sZiHh4c6VzxPw7pviz4e30V2uim52/cdQJU+vFXdU1bVfH2tRPr07adbfdYBcbV9AK9UtfBc6wloWMbYBCCTaMH+VSv8P/s8b3jW7y+WAWdhvA9vSvmnnWHvex6/9lVu55lc+G9ImuIrTS7aRbFOXmlGGlr3n4R68lxpa6MSFltx+6Vjjcv90V5pMotyIzEyoxKrwOOelSRiSzuIrmGRo50OVZTjHHFck82quqqtP3UayymlOg6NXW59B7wcjOD0xVW5xtzxmvP9F+Jn7gRamhMqnBuF6keprt1LXEatD86uMhh0PFff5bm31yNlufkmaZNPLp+8vd7mTqDKuea5XUptzFegro9UPk5DcHvXnHjDxVDpkL7fmbB4FfRwdSW7PnlGF7RWpznjDVEhRk3DvXgHjbWhqFx9mjO5AcsfU1a8Z/Ei51K4mhi/dKTgt39K423bzWyeprwswx8ZL2VM/QcnyudD99W08j034V+Lzpc0dhcNiLPybv5V61fGNwk8AwOp2mvmmMmPaynaw6Y4rv8Awd8TH0maOHUV8624BbqRXw2Iwiq7Lc/oHhrihYOCw2Iei2f6HpNzcM0XU1jXcxZe/wCVdTZ+KvDuqW5NtcRYYcg4BH4Vn6pqmjW4LG4ix+FcEctqRP0n/WHC1I3izjpmMjfNwK5nxRrESW4hXb8vTFafin4h6VBG8dqolfGBxxXll1qj6hMXfpngV2U8K4M+CzrPqUlywepI9wZZvMb5sH7vavRPh541+zXccE5WMA/Keg+lebooOMU9N0bBlOCOmO1dNSgpx5WfA4LNq2DxSxMGfVtxqyX8McoYE4BrOurwyDIyQBzgdK8c8J/EltLkSK/DSRDjcO1el2HxC0e7gdYrlFVxyrDFfP18LKMr2P3nLuKMHiqS97XsOurg9s1msftEhUnauOam1DxTpEKk/aEIA9RXC+IviJaKjR2XzuRjcOAKKdCcmGPz7DU6bbkTeNtdht7P7NCQD3xXncd88bbhj196hub6W/mLyNnPahVHHFfQ0aPLHU/Bs2zL69VbWx7R8L/iGkkaWdxJtmXgZ7/SvbbHxCXjQ7tw7CviyOVraQSxOVdTkFeor1r4X/Ee5vrtdOuBvkI4b1x61206jpux+N59kKrXxNFep9Ef20ZF3ENjpntVSbWBjG7iq2l2d5qFpP5at5Ma7mwuR/KsbUJjBkEEfUV3wxL2PzN4GO7RdutUMmdrcjk155498WRWFiy7v3rA4rP8aePF0UGGNSZWryPUtWuNYuGknYtnoKmeIk9D7XJshdRxrTVo/mVbu/a4naRxkk5Bq7p998wYNgj9Ky5E4NVGla3kyDg1OGxE8LU50z9UdKMoKCO9ju55IwyksOwp01vctaid4G8tjtD9s46Vz2k+JjGBG8RYf3lFdBH4iiaIKwbb1CkHFfe4XPNLqR4lSFSi+W10Z0m/PINRtmNcl8ewrQl1e267CfbFY91ci5m3Iu0eldtfiPlhuOjGVSVuWxGAZHH90VY2qzAlcimR4qVTX5/jsdUx0+abPbhTUFodRpdl4cvtL2z3ElperyGIyregrPt7W6gm2WcuVzgFWwKxWmWP7xAoW+Tp5wHsGrkjUUehm6Tb3uU7jxRrmqTM8+o3UzP1zKf8a2/DvxE8VeF7hXsNYvLYA52GQlD26Hg1z9ou2TEY57V2Gg+HW8RyC3hIEoXOOuTjpXg1KdKMbOKsexCpNvRns/w++MWn/EJU0rxLFHpmtM/7jUIV2wynptkHY9Oa6nVdBl03UHguI3SWM4K55OfSvDvDng+z0vXrca7cyWWnF8SyRrukQeoFfUXgy907xtYJc2sVy1vauIIZ7s5kmjUDDN/n0rxoYCeKxMKWFV+b7kdVfHU8JhpV8S7KJm+H/CKvbtLc2zBm4VWORj1rsrK6udPhRIzhUGFGMDHtW1DarwvQelalro8FxAw8hm449a/oPJ8hwmW0VGUeaXVn8y55xJjc2rtwlywWyPONalm1DcDgVweteCYr8PvJyRXqWuae9rMw8po1zxuXFc7cAd+tfWRweHlHSJ8pDH4mM7uWp83+MvgWkzST2b7JuTz0NeOX+lXWh3z2t1GY5FOMEcV9sajbh1OBmvI/ip4BOu2LT20O67h5G0csPSvi82yClyurh1Z9j9RyHiaq5xo4p3i+vY8QsbeW+mjggQySudqKozn2r37wD+zibiCK71zJZwCLdTwPrWn+zj8HTa2417VbfFyxKwxSL90etfSNrYJuUN8o9q4cnySFRe2xS06I14j4nnh5fVsE9er/AMjyiL4N6LZwbIbFFGOcDmsu++EejzcNbjFe+y6PbSWbMFcvjjFcjqFi0LkGNk/3hivuKeX4GWns0fnT4gzWmv4z+88I1j4B6LdKQsWw/wCzXkfjj4J3nhxXubHM8C8smPmAr68mjAJrC1axW8hdWUEY9K4sZw/g60PdjZnrZdxZj6NROpPmXZnw3DlCVYYb0q7Z2MuoXEcEEZklkO1VUcmux+Lfg9fDutG5gXbbzHO0djXoHwF8BiS3Gs3MWXbiPcOi+or8oq4GdLEOgz9kqZ1Rp4D69fS349ip4R/Z/FxbrPqbFpWGfLXoPau1j+A+lLHgRkfSvXdN00OyRjCjpk9BXXx+FLP+zZJjc7pAONo4PtXuU8DhoRtONz8UxPFmZV6zlSnyryPmq4+AuktkYYfjXPap+z7Y7GMRIPavoi5tdpOVI/Csue3U5yK6Xl2GtpGxnT4qzNv3qrZ8b+LvhzfeFJd5Bkt8/eA6Vy+Mdq+wPFmgw6paSxOm7I9K+cta+HOrRau1vZ2ck0TNhWUZA+tfP4rBexleCuj9VyPiBY+nyYh2kvxMrwn4PvfGOpLa2keE/wCWkpHCj/GvofwR8DbDQJEnXc0+OZG6/StP4U+B4vDejww7B5x5kfHJavWbGxDFFHA6V3YTAQa5qqPieJOKqvtHh8LK0V+JF4blm8O2k9tEA8EwxIhHBrD8QaDb6k24QrHxggV6J/wjqmxMqfM3YCsG80+SHlkK17FPB4fVqCPzb+0sTonJ2Pn/AMa/BiLWmaVHKygcV4b4l8JXvhW8aG5Q7f4Xxwa+3Lm3DKcivOviF4Lg8RadLHsHmYO1sc5rixWW05R5qa1P0DIuKK9CcaVd3h+R8kSN07ntXp3w7+CEviJEvtU3RQtgpCOpqDwb8K9RufE269tWSzt2ySw4Y54r6f8ADumrb28cYQAKMYxXkYXBe0leotD7TiDiNYGio4WV5S/A47TPgjokMagWq4A9K1V+DOg7ebRT+FelabYrcSKrHavc1v33htIoY2tt0pIyQBmvo4YehHTlPxipn2YVZN+1Z4fdfBnQWU/6Go/CuF8WfAW2aF5NMJimUZCHofavoy+02W2/1kTJn+8MVkXEAPtWtTA0JK3KdOE4jzCjNS9o2fEOp6Tc6LeSW11E0UinGGGKyr6+8gYj+/8Ayr6Y+MPgSPWtNkvIEC3UQzlR1r5entHFwySHa4OCK+MxuFeFnZbH7/kOcQzfDqb0kt0Z0skk75Ziabg1otp4xlGz+FOj0/H3uOe44rzbdT6hWNLRrMSSDuuecfyr2PwT4gtfAfiXQ9b0IMLq1CySi6RWUSAnoPTGKi+G3wb1fxdCf7Ms/NEY3EkgVveJPhD4g8MYW6sHRcE7lwQB+daywE6tPncfdOb69Tp1OS+pxvj/AMRTeNPEzTsqpcXk+WWNQq7iewFfX/gbQINC8M2FrDGEWOJQV98da+OfD9iT8QNGhmIVTcqME9Oa+5bJFW3VeOBjNe/wxhadCpKS6HxPGmKnUw8Ka2YIwjbpVu38SXGn5EaJ0xyKpMnXAqpcsVXpxX6nGaZ+JOm1sSeJfEkmsWkccsMaFehUVwGoYVvlroL9jgnpXMX7da7Kc1HRGHs23qUJCGzzWn4b0VdSlfO3gZwa56a4+brXWfD0Lc3VxmUIVTIHrVSrRWrOj2U2rRO00vTo7a12rhdpwFFXlCxnON1FrAfJJA4HU07yzjpXF7VPYxlRl13Llv4mksVKrDGRjjIrI8Sa2dW2kwpEVGMqOtE6kZ4rIusjOa3g43ujGcZWszBvQNzHpWTM3UVsXy4U1zV5NsYjNdbqaE06bueZ/GLQ01TTkAHzeYuPzr1TwJokenaHaW6KEWOMD07V5n8QtSSGG2Vz1mX+des+H3M9tEIxk7Og+lfnuOlT+tuXWx9NjqtaOVU6XRtm3Cqq3JwB6V1uh+JbLS0VJLcygd2/wrjY2LNjv0xU0hMfGMVhGolK58PHmg7o6PxZ4ksNWs0igsRBIp5euDvCO1WZpiScms68fiuidXn1OmmnKV2ZN4vmEj2pfDei/brpo1UFm5qjqNxsY81c8DTm68RQWnnLGZHC7t3A/GuZ1Ip+8e/GFT2T5Dq7DTPs8hjwABz6Vr27BXGeBVG8X7Lqs9uJFk8t9oZTkGrNtG0kojUEsTgKKhVoyd0fMYiE+a09zstJ8RWlnCqvHux61F4k8RWmp2KpHAquO+MVzl9ZT6e2yeNomxnDDmqbScYzxXbRrpRsjKTnH3JKxXulAX3rAu4w8m3IH1rauZPlrnNSm2secVLmduFi2y14a0cX175I2jdzknA6V0EFmILho+AB+Vcn4TuUbxJbWzzqiu4UvngAkc122rxW9v4guLWzuVuoVfas3QGuWeIp6ROvF0atufoWrRlRhu5Arq9P8YLYx7FtlOBgFq5Kzt2mm8tR5jZwNvOan1a1n03C3ETwE/wupBq4VoxktdTxowqxvKKLnivxc+tRxxGGOIIMZUcmuPmlFJdXW49aoyzjHWu91HLVnTCDlqynrCrNDIpAwR0r5K+JWjDS/Es+wbVY7hX1TqFztVj7V8//ABit4JdStpEkDO4+dcdK8HM4qdK5+ocHVJ0MXy9JHB2NvuiGFzwOcVJPaybGO3oPStfQbOJf3bHOenPFfQXgP9nPUvHXhy21GGCzt7WT5Vkd+W+or57D4d4h8kT9nxGIjh1zz2Mz4GeKtbjvI7W0mFtuXJLLjjNdb8XvGV9qUNxFPqSypGmHKMAxOOnFdNqHw4ubPfhbWVtuTK0ZjduemVxWGPgcl5dE3twIFb5isWS34bq8afEFCVPkhV906FktX2vPOn7x4L4P8H315rVpfKHe6M6mCDqz89fpX2pBHJBaW4fBLRqcr0PFeeL4P0/wvGU05PKlkXaJXbdI/OPwro/D/iJUtYbC6cbo+FYnjr0oyziOlDFxhBWgzjzzh6picE5PWcT1z4U3nhu11uUeJLT7TayRFU9Fb1rlfGFrbWupTJAV8rcSoHOF7Cqccg4ZT78VU1GQysTX6fTxClV9tGeltuh+PyoqnQdCUNb79Tm9Tb5iB0rmtQ+VSa6a+Kc81x+u3ixqcV6MswhFbnnRy+U3ojmdUvhbsTWbofxXsvCOtA3hYwyfKdgJI/CsPxRqz7tkQ3OeBiuY+wmOQNIA8zfMdw/QV8xmefqhC0XqfY5Tw5LFVE5r3T7P0XUkvtPhuImJilUMp6cEV3/w51LQNO1Zn8QWRvbJo2XCnlW7NXzJ8GfiNG0EeiX0gSSPiBmPUf3a9oSRWUMpyvtW+AzaGOocsnZnm5lk08sxd1G8d0WfEjWpvrg2fFvuPlg9dua5W7brWvd5bJ6Cse66HJr6ajiY04JXPmK2GdWbko2MTUCOa4PxFqC2hY54rsdYvI7VGyR0rxD4ieJlhV1DfvDwAtcuIzaFNbnbhMonWkkkcL8S/EUmoXkFvb8lG3H0GDXvfgXWDc6HZTbwS0Y+ZT7Yr5hmzLMZHO4sefb2ru/hn42/secadcSEQMcxs3RT3r80qZnKpiXU6H6PmPDiqZUqUV70dT6v8Capp1n4isZ9VjaaxWRTKi9SM11/xm1bwxf64t14agMFpIg+Q8HPfivFNN1qGSJX8znpVqfVlmIO/tXoc0a9WFVStbp0Px3knhKNTDTpp83XqvQvT3Qyay7y6HPPFVLnUlXuDWDqWtKinLYr1niVFHn4fCSk9EVfEGqLDn5q4Wz+JEOi62pdjgHHFUvGnihVRwjjPQV5dNK00jSMclua8HF41/ZZ+tZHkUcRD96tD7D8P+IV1JEuA4YSAMGBr0r4e+JLbQfFFhqF5AtzBE4LI4yPrXxv8L/iGdJZNOvHxBn9257e1e/ad4jikhRg2R65qKGM54OEz5PO8gnl+J9pTV47o+ivjh4y0rxpqNveaVYiCPbtMigDfXksk23k9qybfxUyx7FlIGMf59KqXOrL035FejgVHCUvZxd0fLZnKeYV/byjZ+SNC8u+vNcf4i1RbdWJbtUmoa0kasS4GK8p8e+NFgVgpySCABXXWxijE7cqyupXqqKRPZ/EaOz8VpCG74z2r17R9c+1sHZvvc5r43lnkkuDMSRJncCO1es/D34lA+Xa3rhJhwGbgGvmnjKntOZ7H6dmnDEJYVSpr3lufWPg/wASf2Fq1re+UsxhkWTa/IOD0rZ+MPxOf4gawNRkgjtAECCOPoAK8asfEwkUFXBGO1Q6v4kUJy2DXpUp0q1WFWW62PzJ0MRh4Tw0V7st/ka82pDd1qrLqQ9a46bxInd6z7rxMixlt4H419H9ZikFPLJvob+ua0sCsxbtXgXi7Uhq+tMQ3yqcZPSt3xd40MqtFE2SRjNcCZCzFm69a8LGYpT92J+pcO5Q8P8Avpo6JtLuLe180SKeAflYV0/hP4u6/odmthaalcQw5wIVY4rz2G+kh+VWOPTtV6x16fT7hZ7cRpKvRtoJFcNKt7KXNB2Z9vVo+1XLNXR6Tr37XvinUWdLG3tbOAkYDJvbj3NS+Hv2ufFVjdIb20tb2IcEBNp6eteGQ26nAxz6VoW2kyThXgBxnAxXybyzCxjy8h9D9drt35j7I8I/E/SfiplrOUWeqBcGznxuHTlT3rTvLGbTbhonYF1BHGPz/WvlT4f+HdavPF1jaackiapvBhwwX5hz19OK+tdTiW7tQZ761udYtUVL4Wp3IJCM5H4fyNfM4zDQwk17N6M9rD1nXi1JEdn42msowszBwox8owaTUvidplnCsl3crbK3AMhAzXMa5eW2l6fPPO/liOPLFl44r5O8a+MLrxRqEssrHyFbES5OFXtX0GV47FN8ilofMZnlGEq++42kfWmpfFDRJIy0eoROP9ls1w+s+Oor/cLYmTPQ9BXh/hyHNrGR0xXd6PGCir3FfQzxFVrVnh0cpoQep21r4O1m/wBAbWFt1uYAcH7PklR6kVztwW3bdjcf3h0r2T4K+LodIlOn3LqsUx+UN0z6VqfGb4Z2zW/9u6Unkrj9/DGOM/3hXxeKxEo4jlqn3OGw8I0V7LofPTM0EqyRF0mB45wQfavSvCfxwu9JjW31cNNGowJV6j6ivP5oSGLEc9Pm4rgPG3iFvO+wW7Bf+ejL/KvTwtSpGS9mzzcZhqOIjasj68034yaBrkZ+z6jExHBUnBHtTNQ8cWG35buM/RhXyT4YxbcDgMMV11nucgk9K+k+uV0rXPkv7Cw7d0e93/hvW/EegvqGmRx3ORmOLfhn+nFfMniq01Wz1qePVraW1uVJBilUgrX1v8B/FcMmm/2ZO4EkfKZ7iu3+Knwz0f4m6EYZraOPUIlzb3SjDA/3T7V8fis4r067p1fhPscFkmGp0lOl8R+fLRAjAOMjpUUkZTBHBHcVv+IfDtx4b1i60+8QpLC5Q8YxWRqEkdpbbyNzYwoHc16lKSlFOJlOPK7SNvQfiTeaLst7jNxHwBj7wr0XT/GSXyqUJDEfdbg15NoujjyxO3zzPyW9Paus0uzMbKcYr0oOUFoz5XHZJhMbLmasz0q30PxHrKq1npV1Mj/dYJwawviZ4K8V+CNDj1HU9Mnjt5h8siDcqezEdK+kvgT4pi1Dw/DZyH9/bjbtPUj1r128+y6tZvZXttFcWcieW8cigggjpXyuNz3EYer7Pl0PUwHBeC5faOWp+TFzcTX0xeVtxPQelRNHhemD+le8/tNfAeP4Z+Ihf6UhXQ7wlo16+U3Ur9K8REA2nPI9a9rDYiOLgqkT0p4X6m/ZJWsZ+3y/m6Y7+lei/DnXtZluYbZjm0Y7RJKTkfQVy+haOuoXHnSjMKnCr2PvXoujWot5kdRjae3au63VHDWw9LEx5Kquj26T4UeK47aKe3hjvInXcDG2DULfCnx3NGXGjSKmCQzMoBH517Z8F/GVvrvh2C3dlNxAoVlPXp1r1T+0hKojcDZjAx2r47E55jMLUdO2w6fBGWYhKom0fmH458YX2j6lc6bNbTW91E211mUrg/SvObu6m1CYyTOWJ/T2r7O/bE+G9lq93FqkKLFfrDuZ1ABdVPOfevjFoTDIVODg4r6DL8wePpc73F/YdDKZ8tNfMrtHjpW34N8H3fi/XLWwtWWASyBTcPnanNQaTpbatfJAvC9W9hXrnhe1XR7i2aBAgiIIxXpSvyux0JJuz2Pozwj+y/a6boiQXGt3d5dY+WYgBV46Vzfjb9mXxPBv/s68gulHTflW+le7/DTxpb69oNvKrL56rh1zkg4rsftgvNySYLY4bH6V+eVM1x2FrNXPZlw5lmMgpuFn5H5j+OtJ17wLdGHVIWj5wHXlc9xn1rhbnxBc3HAkIH1r7M+Pem2N14qvtMvY1e1u4Vfn+FsEZHp0r4u1vS20PWLmyYhvKfAYdx619pluaVMZD39zwMTkeHwcrwV0VjIZGyxyabJMsSZPbpTC3FVpFMrc89gK9omMUtI6Ijm1F2bC/KPami6lB4kOKf8AYZF6rtqaKyDKPlz9KWppoj//2Q==\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56548,"title":"IQpuzzler Challenge #1: Find all possible solutions with 2 pieces already on the board and fixed orientation of all other pieces","description":"IQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\r\nIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\r\nThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\r\nThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\r\nFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\r\n[ 2 2\r\n 2 0\r\n 2 0 ]\r\nYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\r\nThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\r\nPlease provide your entire search algorithm, not just hard coded solutions.\r\n\r\nHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on https://github.com/deverw/IQpuzzler","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1187.22px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 593.608px; transform-origin: 407px 593.608px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 372.925px 7.91667px; transform-origin: 372.925px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.992px 7.91667px; transform-origin: 367.992px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 7.91667px; transform-origin: 384px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 7.91667px; transform-origin: 384px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 336.883px 7.91667px; transform-origin: 336.883px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 7.91667px; tab-size: 4; transform-origin: 19.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[ 2 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 7.91667px; tab-size: 4; transform-origin: 19.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 26.95px 7.91667px; tab-size: 4; transform-origin: 26.95px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 0 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.3px 7.91667px; transform-origin: 363.3px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.367px 7.91667px; transform-origin: 368.367px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.9px 7.91667px; transform-origin: 229.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 613.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 306.958px; text-align: left; transform-origin: 384px 306.958px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 753px;height: 608px\" 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\" alt=\"IQpuzzler rectangular board\" data-image-state=\"image-loaded\" width=\"753\" height=\"608\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.95px 7.91667px; transform-origin: 381.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://github.com/deverw/IQpuzzler\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://github.com/deverw/IQpuzzler\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function solutions = IQpuzzler1(board,pieces)\r\n solutions=zeros(5,11,1);\r\nend","test_suite":"%%\r\nboard=[ 10 10 10 0 0 0 0 0 0 0 0\r\n 10 9 0 0 0 0 0 0 0 0 0\r\n 10 9 0 0 0 0 0 0 0 0 0\r\n 9 9 0 0 0 0 0 0 0 0 0\r\n 9 0 0 0 0 0 0 0 0 0 0 ];\r\npieces={[1 1 ; 1 0],...\r\n [0 2 ; 0 2 ; 2 2],...\r\n [3 3 3 ; 0 3 0],...\r\n [0 4 4 ; 4 4 0],...\r\n [5 5; 0 5 ; 5 5],...\r\n [0 6 6 ; 6 6 6],...\r\n [0 7 ; 0 7 ; 0 7 ; 7 7],...\r\n [8 0 ; 8 8 ; 8 0 ; 8 0],...\r\n [0 0 11 ; 0 11 11 ; 11 11 0],...\r\n [0 12 0 ; 0 12 12 ; 12 12 0] };\r\n %[0 9 ; 0 9 ; 9 9 ; 9 0],...\r\n %[10 10 10 ; 10 0 0 ; 10 0 0],...\r\n[r,c]=size(board);\r\nnsol=5; % confirmed by brute force\r\ntic;\r\nsolutions=IQpuzzler1(board,pieces);\r\ntoc; % Just curious: Can you beat 12s?\r\nassert(ndims(solutions)==3,'3-D array expected.');\r\nassert(size(solutions,1)==r,'%d rows expected.',r);\r\nassert(size(solutions,2)==c,'%d columns expected.',c);\r\nassert(size(solutions,3)==nsol,'%d solutions expected.',nsol);\r\nfor n=1:nsol\r\n s=solutions(:,:,n);\r\n assert(isequal(board(board~=0),s(board~=0)),'Solution %d: Fixed pieces on input board expected.',n)\r\n assert(nnz(s)==r*c,'Solution %d: Full board expected.',n);\r\n bsum=sum(sum(board));\r\n for p=1:numel(pieces)\r\n piece=pieces{p};\r\n pn=max(max(piece));\r\n bsum=bsum+pn*nnz(piece);\r\n assert(nnz(s==pn)==nnz(piece),...\r\n 'Solution %d: Number of elements of piece %d does not match.',n,pn);\r\n assert(nnz(conv2(s,rot90(piece,2),'valid')==sum(sum(piece.^2)))\u003e0,...\r\n 'Solution %d: Piece %d arranged incorrectly.',n,pn);\r\n end\r\n assert(sum(sum(s))==bsum,'Solution %d: Original piece numbers expected.',n);\r\n for m=n+1:nsol\r\n assert(~isequal(s,solutions(:,:,m)),'Solutions %d and %d are identical.',n,m);\r\n end\r\nend\r\n%%\r\nfiletext = fileread('IQpuzzler1.m');\r\nillegal = contains(filetext, 'str2num') || contains(filetext, 'str2double') ||...\r\n contains(filetext, 'regexp') || contains(filetext, 'evalc'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-18T08:22:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2022-11-10T10:02:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-08T17:33:28.000Z","updated_at":"2022-11-18T08:22:34.000Z","published_at":"2022-11-08T18:20:28.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\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[[ 2 2\\n 2 0\\n 2 0 ]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"608\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"753\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"IQpuzzler rectangular board\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink 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Preparation #2: Detect isolated zeros in a 2D matrix","description":"Return true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\r\nExample:\r\n[ 2 2 0\r\n 2 0 5 ==\u003e true\r\n 5 5 5 ]\r\n[ 2 2 3\r\n 0 0 5 ==\u003e false\r\n 5 5 5 ]\r\nBackground:\r\nThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 312px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 156px; transform-origin: 407px 156px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 7.91667px; transform-origin: 376.933px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 7.91667px; transform-origin: 29.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 7.91667px; transform-origin: 19.4417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e[ 2 2 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.25px 7.91667px; transform-origin: 61.25px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 2 0 5 ==\u0026gt; true\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.91667px; transform-origin: 23.325px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 5 5 5 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 7.91667px; transform-origin: 19.4417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e[ 2 2 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.975px 7.91667px; transform-origin: 63.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 0 0 5 ==\u0026gt; false\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.91667px; transform-origin: 23.325px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 5 5 5 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.91667px; transform-origin: 39.2917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 319.608px 7.91667px; transform-origin: 319.608px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function result = FindHoles1(board)\r\n result=false;\r\nend","test_suite":"%%\r\nboard=[2 2 0;2 0 5;5 5 5]\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=[2 2 3;0 0 5;5 5 5]\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=zeros(5,11);\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\nboard([7 8 20 25])=0;\r\ny_correct=false;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=ones(5,11);\r\nboard([7 8 20 24])=0;\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=mod(magic(10),3);\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))\r\n%%\r\nboard=mod(spiral(10),2);\r\ny_correct=true;\r\nassert(isequal(FindHoles1(board),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":2414210,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T16:12:10.000Z","updated_at":"2025-06-08T09:37:30.000Z","published_at":"2022-11-07T16:12:10.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn true if any isolated single zeros are present in the input M-by-N matrix (zeros with all adjacent elements being non-zero).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e[ 2 2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 2 0 5 ==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 5 5 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e[ 2 2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 0 0 5 ==\u0026gt; false\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e 5 5 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function can be useful in different board games, such as Go, or the upcoming IQpuzzler challenge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56468,"title":"IQpuzzler Preparation #1: Find all non-identical orientations of a matrix","description":"Return all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\r\nInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\r\nOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\r\nOrdering of the output matrices does not matter, as long as there are no repetitions.\r\nExample:\r\n{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 2])\r\nBackground:\r\nThis function will be useful for the IQpuzzler challenge on Cody.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 231px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 115.5px; transform-origin: 407px 115.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299.525px 7.91667px; transform-origin: 299.525px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 278.242px 7.91667px; transform-origin: 278.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.433px 7.91667px; transform-origin: 238.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 258.258px 7.91667px; transform-origin: 258.258px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOrdering of the output matrices does not matter, as long as there are no repetitions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 7.91667px; transform-origin: 29.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.017px 7.91667px; transform-origin: 188.017px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 2])\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.91667px; transform-origin: 39.2917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 196.7px 7.91667px; transform-origin: 196.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function will be useful for the IQpuzzler challenge on Cody.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function orientations = rotflip2d(piece)\r\n orientations={piece};\r\nend","test_suite":"%%\r\npiece = 1;\r\no_correct = {1};\r\nassert(isequal(rotflip2d(piece),o_correct))\r\n\r\n%%\r\npiece = [1 1;1 1];\r\no_correct = {[1 1;1 1]};\r\nassert(isequal(rotflip2d(piece),o_correct))\r\n\r\n%%\r\npiece = [2 0;2 2];\r\no=rotflip2d(piece);\r\nassert(numel(o)==4);\r\nfor n=1:3\r\n for m=n+1:4\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[2 0;2 2],[0 2;2 2],[2 2;0 2],[2 2;2 0]};\r\nfor n=1:4\r\n f=false;\r\n for m=1:4\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend\r\n\r\n%%\r\npiece = [3 3;0 3;0 3];\r\no=rotflip2d(piece);\r\nassert(numel(o)==8);\r\nfor n=1:7\r\n for m=n+1:8\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[3 3;0 3;0 3],[3 3;3 0;3 0],[0 3;0 3;3 3],[3 0;3 0;3 3],[3 3 3;0 0 3],[3 3 3;3 0 0],[3 0 0;3 3 3],[0 0 3;3 3 3]};\r\nfor n=1:8\r\n f=false;\r\n for m=1:8\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend\r\n\r\n%%\r\npiece = [12 12 0 ; 0 12 12 ; 0 0 12];\r\no=rotflip2d(piece);\r\nassert(numel(o)==4);\r\nfor n=1:3\r\n for m=n+1:4\r\n assert(~isequal(o{n},o{m}));\r\n end\r\nend\r\no_correct = {[12 12 0;0 12 12;0 0 12],[0 12 12;12 12 0;12 0 0],[12 0 0;12 12 0;0 12 12],[0 0 12;0 12 12;12 12 0]};\r\nfor n=1:4\r\n f=false;\r\n for m=1:4\r\n if isequal(o{n},o_correct{m})\r\n f=true;\r\n break;\r\n end\r\n end\r\n assert(f);\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-22T06:34:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-11-07T15:25:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T15:19:15.000Z","updated_at":"2022-11-22T06:34:56.000Z","published_at":"2022-11-07T15:25:43.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput is an M-by-N matrix. You can assume integer values and no empty rows or columns.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOrdering of the output matrices does not matter, as long as there are no repetitions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e{ [2 0;2 2] , [0 2;2 2] , [2 2;0 2], [2 2;2 0] } = rotflip2d([2 0;2 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function will be useful for the IQpuzzler challenge on Cody.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56478,"title":"IQpuzzler Preparation #3: Detect isolated groups of zeros in a matrix","description":"Return true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\r\nThe matrix will always be 3-by-3 or larger.\r\nExamples:\r\n 11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 9 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2\r\n==\u003e true\r\n\r\n 11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 1 10 9 9\r\n 12 13 7 11 13 0 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2\r\n==\u003e false\r\n\r\n 7 10 13 11 5 5 4 1 2 3 8\r\n 13 0 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10\r\n==\u003e true\r\n\r\nBackground:\r\nThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\r\nHint:\r\nThe built-in function conv2 may be helpful for your implementation.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 762.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332.5px 381.25px; transform-origin: 332.5px 381.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 21px; text-align: left; transform-origin: 309.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.5px 7.7px; transform-origin: 306.5px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.142px 7.7px; transform-origin: 129.142px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe matrix will always be 3-by-3 or larger.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 7.7px; transform-origin: 32.675px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329.5px 51.0833px; transform-origin: 329.5px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 11 2 3 2 9 10 10 11 6 7 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 12 4 13 6 1 10 1 10 5 6 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 8 13 12 0 0 0 5 10 9 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); 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border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 7 10 13 11 5 5 4 1 2 3 8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 13 0 8 4 3 11 10 1 8 11 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 0 2 11 4 8 10 7 7 5 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 8 0 2 4 9 8 5 11 1 7 9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.55px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.55px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.55px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.55px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329.5px 10.2167px; transform-origin: 329.5px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 254.1px 7.975px; tab-size: 4; transform-origin: 254.1px 7.975px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 3 12 4 13 7 12 8 13 5 3 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.275px 7.7px; transform-origin: 26.275px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e==\u0026gt; true\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 7.7px; transform-origin: 0px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 7.7px; transform-origin: 39.2917px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBackground:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 21px; text-align: left; transform-origin: 309.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 294.833px 7.7px; transform-origin: 294.833px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.3917px 7.7px; transform-origin: 14.3917px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309.5px 10.5px; text-align: left; transform-origin: 309.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.167px 7.7px; transform-origin: 206.167px 7.7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe built-in function conv2 may be helpful for your implementation.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function result=FindHoles2(board)\r\n result=false;\r\nend","test_suite":"%%\r\nboard=magic(3);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=zeros(5,9);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=ones(7,3);\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=ones(5,11);\r\nboard(1)=0;\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 9 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[11 2 3 2 9 10 10 11 6 7 4\r\n 12 4 13 6 1 10 1 10 5 6 9\r\n 2 8 13 12 0 0 0 5 10 9 9\r\n 12 13 7 11 13 0 1 13 11 10 3\r\n 9 13 11 13 9 3 2 1 3 10 2];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 0 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 2 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 8 0 2 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 8 0 0 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(FindHoles2(board));\r\n%%\r\nboard=[ 7 10 13 11 5 5 4 1 2 3 8\r\n 13 5 8 4 3 11 10 1 8 11 4\r\n 5 0 0 11 4 8 10 7 7 5 9\r\n 0 0 0 4 9 8 5 11 1 7 9\r\n 3 12 4 13 7 12 8 13 5 3 10];\r\nassert(~FindHoles2(board));\r\n%%\r\nboard=mod(spiral(20),40);\r\nassert(FindHoles2(board));","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-17T13:01:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-07T18:17:45.000Z","updated_at":"2022-11-17T13:01:48.000Z","published_at":"2022-11-07T18:17:45.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn true if any small, rectangular shaped, isolated groups of zeros (size 1x1, 1x2, 2x1, 1x3, 3x1 or 2x2) are present in a matrix, with all vertically and horizontally adjacent elements being non-zero.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe matrix will always be 3-by-3 or larger.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ 11 2 3 2 9 10 10 11 6 7 4\\n 12 4 13 6 1 10 1 10 5 6 9\\n 2 8 13 12 0 0 0 5 10 9 9\\n 12 13 7 11 13 9 1 13 11 10 3\\n 9 13 11 13 9 3 2 1 3 10 2]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\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[ 11 2 3 2 9 10 10 11 6 7 4\\n 12 4 13 6 1 10 1 10 5 6 9\\n 2 8 13 12 0 0 0 1 10 9 9\\n 12 13 7 11 13 0 1 13 11 10 3\\n 9 13 11 13 9 3 2 1 3 10 2]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; false\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\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[ 7 10 13 11 5 5 4 1 2 3 8\\n 13 0 8 4 3 11 10 1 8 11 4\\n 5 0 2 11 4 8 10 7 7 5 9\\n 8 0 2 4 9 8 5 11 1 7 9\\n 3 12 4 13 7 12 8 13 5 3 10]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e==\u0026gt; true\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBackground:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis function or variations of it may be useful in some board games like Go, or in the upcoming IQpuzzler challenge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe built-in function conv2 may be helpful for your implementation.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56573,"title":"IQpuzzler Challenge #2: Find all possible solutions on an empty 4-by-5 board with 5 pieces, rotating and flipping pieces allowed","description":"We are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\r\n\r\nYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\r\npieces={ [1 1;\r\n 1 0],...\r\n [0 2;\r\n 0 2;\r\n 2 2],...\r\n [3 3 3;\r\n 0 3 0],...\r\n [4 4 0;\r\n 0 4 4],...\r\n [5 5 5;\r\n 5 5 0] };\r\nPlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\r\nYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions and without symmetric solutions (180° rotations or flippings of other solutions).\r\nFor example, the solution above would be represented as\r\n[5 5 5 2 2;\r\n 5 5 4 4 2;\r\n 1 4 4 3 2;\r\n 1 1 3 3 3]\r\nPlease provide your entire search algorithm, not just hard coded solutions.\r\nHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on https://github.com/deverw/IQpuzzler","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 973.417px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 486.708px; transform-origin: 407px 486.708px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.4px 7.91667px; transform-origin: 376.4px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 245.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 122.958px; text-align: left; transform-origin: 384px 122.958px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 320px;height: 240px\" 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\" data-image-state=\"image-loaded\" width=\"320\" height=\"240\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.192px 7.91667px; transform-origin: 380.192px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 224.767px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 112.383px; transform-origin: 404px 112.383px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 7.91667px; tab-size: 4; transform-origin: 53.9px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epieces={ [1 1;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 7.91667px; tab-size: 4; transform-origin: 69.3px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 7.91667px; transform-origin: 57.75px 7.91667px; \"\u003e 1 0],\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 7.91667px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 7.91667px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; 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border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 73.15px 7.91667px; tab-size: 4; transform-origin: 73.15px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 5 0] };\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 361.617px 7.91667px; transform-origin: 361.617px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.042px 7.91667px; transform-origin: 363.042px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7px 7.91667px; transform-origin: 58.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall valid solutions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.5917px 7.91667px; transform-origin: 62.5917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewithout repetitions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.875px 7.91667px; transform-origin: 94.875px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewithout symmetric solutions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.0417px 7.91667px; transform-origin: 93.0417px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (180° rotations or flippings of other solutions).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 178.167px 7.91667px; transform-origin: 178.167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the solution above would be represented as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[5 5 5 2 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 5 5 4 4 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 4 4 3 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 7.91667px; tab-size: 4; transform-origin: 42.35px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 1 3 3 3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.9px 7.91667px; transform-origin: 229.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.95px 7.91667px; transform-origin: 373.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://github.com/deverw/IQpuzzler\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://github.com/deverw/IQpuzzler\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function solutions = IQpuzzler2(pieces)\r\n y = x;\r\nend","test_suite":"%%\r\npieces={ [1 1;1 0],[0 2;0 2;2 2],[3 3 3;0 3 0],[4 4 0;0 4 4],[5 5 5;5 5 0] };\r\n[r,c]=deal(4,5);\r\nboard=zeros(r,c);\r\nnsol=14; % confirmed by brute force\r\ntic;\r\nsolutions=IQpuzzler2(pieces);\r\ntoc; % Just curious: Can you beat 1s?\r\nassert(ndims(solutions)==3,'3-D array expected.');\r\nassert(size(solutions,1)==r,'%d rows expected.',r);\r\nassert(size(solutions,2)==c,'%d columns expected.',c);\r\nassert(size(solutions,3)==nsol,'%d solutions expected.',nsol);\r\nfor n=1:nsol\r\n s=solutions(:,:,n);\r\n assert(isequal(board(board~=0),s(board~=0)),'Solution %d: Fixed pieces on input board expected.',n)\r\n assert(nnz(s)==r*c,'Solution %d: Full board expected.',n);\r\n bsum=0;\r\n for p=1:numel(pieces)\r\n piece=pieces{p};\r\n pn=max(max(piece));\r\n bsum=bsum+pn*nnz(piece);\r\n assert(nnz(s==pn)==nnz(piece),'Solution %d: Number of elements of piece %d does not match.',n,pn);\r\n arr=false;\r\n orientations=rotflip2d(piece);\r\n for o=1:numel(orientations)\r\n if nnz(conv2(1*(s==pn),rot90(orientations{o},2),'valid')==sum(sum(piece)))\u003e0\r\n arr=true;\r\n break;\r\n end\r\n end\r\n assert(arr,'Solution %d: Piece %d arranged incorrectly.',n,pn);\r\n end\r\n assert(sum(sum(s))==bsum,'Solution %d: Original piece numbers expected.',n);\r\n for m=n+1:nsol\r\n assert(~isequal(s,solutions(:,:,m)),'Solutions %d and %d are identical.',n,m);\r\n assert(~isequal(fliplr(s),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n assert(~isequal(flipud(s),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n assert(~isequal(rot90(s,2),solutions(:,:,m)),'Solutions %d and %d are symmetric.',n,m);\r\n end\r\nend\r\n\r\nfunction orientations=rotflip2d(piece)\r\n% Returns all non-identical orientations of a 2-D matrix that can be produced by rotating or flipping it.\r\n% Input is an M-by-N matrix. Output is a 1-by-P cell array containing P unique M-by-N or N-by-M matrices.\r\n orientations=cell(1,8);\r\n orientations{1}=piece;\r\n for n=2:4\r\n orientations{n}=rot90(orientations{n-1});\r\n end\r\n orientations{5}=fliplr(orientations{4});\r\n for n=6:8\r\n orientations{n}=rot90(orientations{n-1});\r\n end\r\n d=false(1,8);\r\n for p=1:7\r\n for q=p+1:8\r\n if isequal(orientations{p},orientations{q})\r\n d(q)=true;\r\n end\r\n end\r\n end\r\n orientations(d)=[];\r\nend\r\n%%\r\nfiletext = fileread('IQpuzzler2.m');\r\nassert(~contains(filetext,'str2num'));\r\nassert(~contains(filetext,'str2double'));\r\nassert(~contains(filetext,'regexp'));\r\nassert(~contains(filetext,'evalc'));","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-10T17:57:09.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2022-11-10T17:57:09.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-10T10:54:03.000Z","updated_at":"2022-11-10T17:57:09.000Z","published_at":"2022-11-10T11:58:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the picture:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"240\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"320\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou are provided a cell array with one cell per piece. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece. In our case, the pieces are provided as\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[pieces={ [1 1;\\n 1 0],...\\n [0 2;\\n 0 2;\\n 2 2],...\\n [3 3 3;\\n 0 3 0],...\\n [4 4 0;\\n 0 4 4],...\\n [5 5 5;\\n 5 5 0] };]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease note that the orientation of each piece in your solutions might be different from the one provided as input. For example, the red piece (number 4) was flipped from left to right before being placed on the board. The pieces can be rotated in steps of 90 degrees, flipped vertically or horizontally.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour solution set needs to be provided as a 3-D array with 4 rows, 5 columns and N layers, where N is the number of possible arrangements of the given pieces. The order of your solution set along the 3rd dimension does not matter, as long as it provides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall valid solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewithout repetitions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewithout symmetric solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (180° rotations or flippings of other solutions).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the solution above would be represented as\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[[5 5 5 2 2;\\n 5 5 4 4 2;\\n 1 4 4 3 2;\\n 1 1 3 3 3]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Maybe you can reuse some functions from the preparation phase. You can find a C++ implementation for the entire puzzle on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56548,"title":"IQpuzzler Challenge #1: Find all possible solutions with 2 pieces already on the board and fixed orientation of all other pieces","description":"IQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\r\nIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\r\nThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\r\nThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\r\nFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\r\n[ 2 2\r\n 2 0\r\n 2 0 ]\r\nYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\r\nThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\r\nPlease provide your entire search algorithm, not just hard coded solutions.\r\n\r\nHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on https://github.com/deverw/IQpuzzler","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1187.22px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 593.608px; transform-origin: 407px 593.608px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 372.925px 7.91667px; transform-origin: 372.925px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.992px 7.91667px; transform-origin: 367.992px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 7.91667px; transform-origin: 384px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 7.91667px; transform-origin: 384px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 336.883px 7.91667px; transform-origin: 336.883px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 7.91667px; tab-size: 4; transform-origin: 19.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[ 2 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 7.91667px; tab-size: 4; transform-origin: 19.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 26.95px 7.91667px; tab-size: 4; transform-origin: 26.95px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 0 ]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.3px 7.91667px; transform-origin: 363.3px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.367px 7.91667px; transform-origin: 368.367px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.9px 7.91667px; transform-origin: 229.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 613.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 306.958px; text-align: left; transform-origin: 384px 306.958px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 753px;height: 608px\" 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\" alt=\"IQpuzzler rectangular board\" data-image-state=\"image-loaded\" width=\"753\" height=\"608\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.95px 7.91667px; transform-origin: 381.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://github.com/deverw/IQpuzzler\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://github.com/deverw/IQpuzzler\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function solutions = IQpuzzler1(board,pieces)\r\n solutions=zeros(5,11,1);\r\nend","test_suite":"%%\r\nboard=[ 10 10 10 0 0 0 0 0 0 0 0\r\n 10 9 0 0 0 0 0 0 0 0 0\r\n 10 9 0 0 0 0 0 0 0 0 0\r\n 9 9 0 0 0 0 0 0 0 0 0\r\n 9 0 0 0 0 0 0 0 0 0 0 ];\r\npieces={[1 1 ; 1 0],...\r\n [0 2 ; 0 2 ; 2 2],...\r\n [3 3 3 ; 0 3 0],...\r\n [0 4 4 ; 4 4 0],...\r\n [5 5; 0 5 ; 5 5],...\r\n [0 6 6 ; 6 6 6],...\r\n [0 7 ; 0 7 ; 0 7 ; 7 7],...\r\n [8 0 ; 8 8 ; 8 0 ; 8 0],...\r\n [0 0 11 ; 0 11 11 ; 11 11 0],...\r\n [0 12 0 ; 0 12 12 ; 12 12 0] };\r\n %[0 9 ; 0 9 ; 9 9 ; 9 0],...\r\n %[10 10 10 ; 10 0 0 ; 10 0 0],...\r\n[r,c]=size(board);\r\nnsol=5; % confirmed by brute force\r\ntic;\r\nsolutions=IQpuzzler1(board,pieces);\r\ntoc; % Just curious: Can you beat 12s?\r\nassert(ndims(solutions)==3,'3-D array expected.');\r\nassert(size(solutions,1)==r,'%d rows expected.',r);\r\nassert(size(solutions,2)==c,'%d columns expected.',c);\r\nassert(size(solutions,3)==nsol,'%d solutions expected.',nsol);\r\nfor n=1:nsol\r\n s=solutions(:,:,n);\r\n assert(isequal(board(board~=0),s(board~=0)),'Solution %d: Fixed pieces on input board expected.',n)\r\n assert(nnz(s)==r*c,'Solution %d: Full board expected.',n);\r\n bsum=sum(sum(board));\r\n for p=1:numel(pieces)\r\n piece=pieces{p};\r\n pn=max(max(piece));\r\n bsum=bsum+pn*nnz(piece);\r\n assert(nnz(s==pn)==nnz(piece),...\r\n 'Solution %d: Number of elements of piece %d does not match.',n,pn);\r\n assert(nnz(conv2(s,rot90(piece,2),'valid')==sum(sum(piece.^2)))\u003e0,...\r\n 'Solution %d: Piece %d arranged incorrectly.',n,pn);\r\n end\r\n assert(sum(sum(s))==bsum,'Solution %d: Original piece numbers expected.',n);\r\n for m=n+1:nsol\r\n assert(~isequal(s,solutions(:,:,m)),'Solutions %d and %d are identical.',n,m);\r\n end\r\nend\r\n%%\r\nfiletext = fileread('IQpuzzler1.m');\r\nillegal = contains(filetext, 'str2num') || contains(filetext, 'str2double') ||...\r\n contains(filetext, 'regexp') || contains(filetext, 'evalc'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":2414210,"edited_by":2414210,"edited_at":"2022-11-18T08:22:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2022-11-10T10:02:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-08T17:33:28.000Z","updated_at":"2022-11-18T08:22:34.000Z","published_at":"2022-11-08T18:20:28.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (consisting of 3 to 5 elements) which have to be arranged on the board so that all spaces are filled (see complete set of pieces and example solution below). More than 1 million solutions exist if the pieces can be flipped and rotated.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this challenge, you are given a board with some of the pieces already in place, and the other pieces in their required orientation (different from the picture below), so you don't need to worry about flipping or rotating them. Your task is to find all possible solutions within Cody time.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe board is a 5-by-11 matrix, where zeros represent empty spaces and values 1 to 12 represent the different pieces on the board.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe remaining pieces are provided as cell array with P cells. Each cell contains an N-by-M matrix with zeros and one unique value (the piece number) representing the positions of the 3 to 5 elements that define each piece.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the dark blue piece (piece number 2 by definition) in the picture below would be represented as\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[[ 2 2\\n 2 0\\n 2 0 ]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour solution set needs to be provided as a 3D array with 5 rows, 11 columns and S layers, where S is the number of possible solutions with the provided inputs. Each solution needs to have the same non zero elements as the input board (the pieces which are already in place), and the remaining pieces completely distributed on the board, using the provided shapes and numbers from the input cell array.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe order of your solution set along the 3rd dimension does not matter, as long as it provides all valid solutions without repetitions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease provide your entire search algorithm, not just hard coded solutions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"608\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"753\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"IQpuzzler rectangular board\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Brute force search might take too much time. Maybe some functions from the preparation phase can speed things up. You can find a C++ implementation for the entire puzzle on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink 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