{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-16T00:00:00.000Z","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":52824,"title":"Easy Sequences 31: N-N's Sequence","description":"We define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number  appears  times. The first few elements of this sequence are as follows:\r\n                        \r\nAs you can see,  appears  times,  appears  times,  appears  times, etc...\r\nWrite a function that output the number  occuping the  position.","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: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 66px; transform-origin: 407px 66px; 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: 376px 8px; transform-origin: 376px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 192.5px 8px; transform-origin: 192.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times. The first few elements of this sequence are as follows:\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: 48px 8px; transform-origin: 48px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 518px; height: 18.5px;\" width=\"518\" height=\"18.5\"\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: 52.5px 8px; transform-origin: 52.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs you can see, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 38px 8px; transform-origin: 38px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, etc...\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: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that output the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e occuping the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 26.5px; height: 18px;\" width=\"26.5\" height=\"18\"\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: 32.5px 8px; transform-origin: 32.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e position.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = nnPos(k)\r\n    n = k;\r\nend","test_suite":"%%\r\nk = 1;\r\nn_correct = 1;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 20;\r\nn_correct = 6;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 1000;\r\nn_correct = 45;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nks = 12345:12345:246900;\r\nns_correct = [157 222 272 314 351 385 416 444 471 497 521 544 567 588 609 629 648 667 685 703];\r\nassert(isequal(nnPos(ks),ns_correct))\r\n%%\r\nk = 2000000;\r\nn_correct = 2000;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 123456789;\r\nn_correct = 15713;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax;\r\nn_correct = 65536;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax('int64');\r\nn_correct = 4294967296;\r\nassert(isequal(nnPos(k),n_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-28T18:15:10.000Z","updated_at":"2026-04-08T13:00:16.000Z","published_at":"2021-09-28T18:16:17.000Z","restored_at":null,"restored_by":null,"spam":false,"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 define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times. The first few elements of this sequence are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left \\\\{ 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8 ...\\\\right \\\\} \u003c/w:t\u003e\u003c/w:r\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\u003eAs you can see, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, etc...\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function that output the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e occuping the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\\\\mbox{-}th\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e position.\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":52679,"title":"Easy Sequences 16: Volume of Embedded Octahedron","description":"An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\r\n                                       \r\nGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 247px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 166px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"311\" height=\"166\" style=\"vertical-align: middle;width: 311px;height: 166px\" 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\" data-image-state=\"image-loaded\"\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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \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; \"\u003e\u003cspan style=\"\"\u003ePlease output the integer part of the volume in modulo 1000003.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = volOcta(l,w,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1234; w = 4567; h = 8910;\r\ny_correct = 956726;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 100000; w = 200000; h = 300000;\r\ny_correct = 9000;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nls = 12:12:1440; ws = ls + 23; hs = ls .* 23;\r\ny_correct = 59634083;\r\nassert(isequal(sum(arrayfun(@(i) volOcta(ls(i),ws(i),hs(i)),1:length(ls))),y_correct))\r\n%%\r\nl = 12345678900; w = 353535353535; h = 12345678900;\r\ny_correct = 262344;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 14141414141414; w = 15151515151515; h = 16161616161616;\r\ny_correct = 541360;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nfiletext = fileread('volOcta.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-11T14:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-09T20:56:03.000Z","updated_at":"2025-12-22T16:21:58.000Z","published_at":"2021-09-09T20:56:03.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"311\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease output the integer part of the volume in modulo 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Sequences 31: N-N's Sequence","description":"We define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number  appears  times. The first few elements of this sequence are as follows:\r\n                        \r\nAs you can see,  appears  times,  appears  times,  appears  times, etc...\r\nWrite a function that output the number  occuping the  position.","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: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 66px; transform-origin: 407px 66px; 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: 376px 8px; transform-origin: 376px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 192.5px 8px; transform-origin: 192.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times. The first few elements of this sequence are as follows:\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: 48px 8px; transform-origin: 48px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 518px; height: 18.5px;\" width=\"518\" height=\"18.5\"\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: 52.5px 8px; transform-origin: 52.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs you can see, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 38px 8px; transform-origin: 38px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, etc...\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: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that output the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e occuping the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 26.5px; height: 18px;\" width=\"26.5\" height=\"18\"\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: 32.5px 8px; transform-origin: 32.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e position.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = nnPos(k)\r\n    n = k;\r\nend","test_suite":"%%\r\nk = 1;\r\nn_correct = 1;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 20;\r\nn_correct = 6;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 1000;\r\nn_correct = 45;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nks = 12345:12345:246900;\r\nns_correct = [157 222 272 314 351 385 416 444 471 497 521 544 567 588 609 629 648 667 685 703];\r\nassert(isequal(nnPos(ks),ns_correct))\r\n%%\r\nk = 2000000;\r\nn_correct = 2000;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 123456789;\r\nn_correct = 15713;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax;\r\nn_correct = 65536;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax('int64');\r\nn_correct = 4294967296;\r\nassert(isequal(nnPos(k),n_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-28T18:15:10.000Z","updated_at":"2026-04-08T13:00:16.000Z","published_at":"2021-09-28T18:16:17.000Z","restored_at":null,"restored_by":null,"spam":false,"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 define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times. The first few elements of this sequence are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left \\\\{ 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8 ...\\\\right \\\\} \u003c/w:t\u003e\u003c/w:r\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\u003eAs you can see, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, etc...\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function that output the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e occuping the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\\\\mbox{-}th\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e position.\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":52679,"title":"Easy Sequences 16: Volume of Embedded Octahedron","description":"An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\r\n                                       \r\nGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 247px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 166px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"311\" height=\"166\" style=\"vertical-align: middle;width: 311px;height: 166px\" 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\" data-image-state=\"image-loaded\"\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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \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; \"\u003e\u003cspan style=\"\"\u003ePlease output the integer part of the volume in modulo 1000003.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = volOcta(l,w,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1234; w = 4567; h = 8910;\r\ny_correct = 956726;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 100000; w = 200000; h = 300000;\r\ny_correct = 9000;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nls = 12:12:1440; ws = ls + 23; hs = ls .* 23;\r\ny_correct = 59634083;\r\nassert(isequal(sum(arrayfun(@(i) volOcta(ls(i),ws(i),hs(i)),1:length(ls))),y_correct))\r\n%%\r\nl = 12345678900; w = 353535353535; h = 12345678900;\r\ny_correct = 262344;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 14141414141414; w = 15151515151515; h = 16161616161616;\r\ny_correct = 541360;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nfiletext = fileread('volOcta.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-11T14:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-09T20:56:03.000Z","updated_at":"2025-12-22T16:21:58.000Z","published_at":"2021-09-09T20:56:03.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"311\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease output the integer part of the volume in modulo 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