{"group":{"group":{"id":57633,"name":"Easy Sequences Volume V:  Fibonacci Obsession","lockable":false,"created_at":"2022-12-01T19:28:08.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Collection of math challenges. Not necessarily easy and not necessarily about sequences...","is_default":false,"created_by":255988,"badge_id":62,"featured":false,"trending":false,"solution_count_in_trending_period":2,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":5328,"published":true,"community_created":true,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"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\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\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\"}]}","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 289.5px 21px; transform-origin: 289.5px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 266.5px 21px; text-align: left; transform-origin: 266.5px 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2022-12-01T19:57:29.000Z"},"current_player":null},"problems":[{"id":52594,"title":"Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence","description":"The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\r\n  \u003e\u003e Fn = [1 1 2 3 5 8 13 21 34 55];\r\n  \u003e\u003e Sn = sum(cumsum(Fn))\r\n  \u003e\u003e Sn =\r\n     364\r\nIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation. \r\nGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. In the example above we have, 'n = 10' for 's = 364' . ","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: 236.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 118.367px; transform-origin: 407px 118.367px; 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: 130.5px 8px; transform-origin: 130.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe function F(n) is defined as the set of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 144px 8.5px; tab-size: 4; transform-origin: 144px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Fn = [1 1 2 3 5 8 13 21 34 55];\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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 100px 8.5px; tab-size: 4; transform-origin: 100px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn = sum(cumsum(Fn))\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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 36px 8.5px; tab-size: 4; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn =\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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     364\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 383.5px 8px; transform-origin: 383.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \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: 327px 8px; transform-origin: 327px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the example above we have,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\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: 68px 8px; transform-origin: 68px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e'n = 10' for 's = 364' . \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = N(s)\r\n    n = inv_cumsum(inv_sum(s));\r\nend","test_suite":"%%\r\ns = 364;\r\nn_correct = 10;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 2000;\r\nn_correct = 13;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 5000:100:10000;\r\nn_correct = 798;\r\nn_answer = sum(arrayfun(@(i) N(i),s));\r\nassert(isequal(n_answer,n_correct))\r\n%%\r\ns = intmax;\r\nn_correct = 42;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 10^10;\r\nn_correct = 45;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = intmax('uint64');\r\nn_correct = 89;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = realmax/10;\r\nn_correct = 1467;\r\nassert(isequal(N(s),n_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":49,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-23T07:31:32.000Z","updated_at":"2025-12-16T04:43:30.000Z","published_at":"2021-08-23T12:03:43.000Z","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\u003eThe function F(n) is defined as the set of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\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[  \u003e\u003e Fn = [1 1 2 3 5 8 13 21 34 55];\\n  \u003e\u003e Sn = sum(cumsum(Fn))\\n  \u003e\u003e Sn =\\n     364]]\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\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIn the example above we have,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e'n = 10' for 's = 364' . \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":52968,"title":"Easy Sequences 43: Least Common Fibonacci Number","description":"The Fibonacci sequence  is a series whose elements are numbers starting with  and , and subsequent Fibonacci numbers are defined recursively: . The first 20 Fibonacci numbers are:\r\n                            \r\nGiven two indices  and , write a program to return the least common Fibonacci number, , which is defined as the smallest Fibonacci number divisible by both  and . For example,, which is , since  and  both divide .\r\nSince. the value of  may become large even if the values of  and  are relatively small, please output a vector containing the number of digits and the last  digits of . Therefore, in the example above the output of , which has  digits, should be .","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: 216px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; 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=\"\"\u003eThe Fibonacci sequence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eF\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=\"\"\u003e is a series whose elements are numbers starting with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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=\"\"\u003e, and subsequent \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\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 are defined recursively: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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=\"\"\u003e. The first 20 Fibonacci numbers are:\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; 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\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"519.5\" height=\"19\" style=\"width: 519.5px; height: 19px;\"\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; 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 two indices \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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=\"font-weight: bold; \"\u003e, write a program to return the least common Fibonacci number, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"69\" height=\"19\" style=\"width: 69px; height: 19px;\"\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=\"font-weight: bold; \"\u003e, which is defined as the smallest Fibonacci number divisible by both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19.5\" height=\"20\" style=\"width: 19.5px; height: 20px;\"\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=\"font-weight: bold; \"\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; \"\u003e\u003cspan style=\"\"\u003e For example,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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=\"\"\u003e both divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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=\"\"\u003e.\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; 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=\"\"\u003eSince. the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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=\"\"\u003e may become large even if the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; 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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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=\"\"\u003e are relatively small, please output a vector containing the number of digits and the last \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e6\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=\"\"\u003e digits of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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=\"\"\u003e. Therefore, in the example above the output of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"19\" style=\"width: 65.5px; height: 19px;\"\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=\"\"\u003e, which has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; 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; \"\u003e\u003cspan style=\"\"\u003e digits, should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"58\" height=\"19\" style=\"width: 58px; height: 19px;\"\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=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = LCF(n,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 3; m = 4;\r\ny_correct = [4 6765];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 31; m = 61;\r\ny_correct = [207 308229];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 123; m = 456;\r\ny_correct = [11843 575091];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 999; m = 99999;\r\ny_correct = [20899 746875];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 98765; m = 43210;\r\ny_correct = [891912775 944568];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = double(intmax); m = 12345;\r\ny_correct = [2770427214858 134203];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nns = floor(double(intmax)./(1:100));\r\nys = arrayfun(@(i) log10(sum(LCF(ns(i-1),i))),2:101);\r\nss = round([sum(ys) mean(ys) median(ys) mode(ys) std(ys)],4);\r\nss_correct = [842.8233 8.4282 8.6618 7.1199 0.3808];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('LCF.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-21T07:09:35.000Z","updated_at":"2026-01-31T13:37:33.000Z","published_at":"2021-10-21T11:42:51.000Z","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\u003eThe Fibonacci sequence \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\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is a series whose elements are numbers starting with \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\u003eF_{1} =1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_{2} =2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and subsequent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e are defined recursively: \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\u003eF_{n} =F_{n-1}+F_{n-2} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The first 20 Fibonacci numbers are:\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\\\\{1, \\t2, \\t3, \\t5, \\t8, \\t13, \\t21, \\t34, \\t55, \\t89, \\t144, \\t233, \\t377, \\t610, \\t987, \\t1597, \\t2584, \\t4181, \\t6765, 10946\\\\}\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven two indices \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 and \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\u003em\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, write a program to return the least common Fibonacci 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\u003eLCF(n,m)\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, which is defined as the smallest Fibonacci number divisible by both \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\u003eF_{n}\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 and \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\u003eF_{m}\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.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For example,\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\u003eLCF(3,4)=6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is \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\u003eF_{19}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \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\u003eF_{3}=3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_{4}=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e both divide \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\u003e6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eSince. the value of \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\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e may become large even if the values of \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 and \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\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are relatively small, please output a vector containing the number of digits and the last \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\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e digits of \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\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, in the example above the output of \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\u003eLCF(3,4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which has \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 digits, should be \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\u003e[4\\\\  6765]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\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":56050,"title":"Easy Sequences 73:  Emergence of Fibonacci Insects","description":"Cicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every  years, selecting  or  or even  years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say  years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another  years for them to again see each other.\r\nIn a theoretical environment, a particular species of cicadas selects to emerge every  (-th Fibonacci number) days, while the predator wasps selects emergence period of  (-th Fibonacci number) days. Given the values of  and , and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\r\nFor example, if the cicadas selected , and  the wasps chose , they will emerge at the same time again in  days.\r\nNOTE: You are given:  and . Since the answer can be a huge number, please present your answer \"modulo \".","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: 325px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 162.5px; transform-origin: 407px 162.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 126px; 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 63px; text-align: left; transform-origin: 384px 63px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" 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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, selecting \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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \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);\"\u003e6\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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or even \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);\"\u003e9\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: 329px 8px; transform-origin: 329px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA3ElEQVRYR2NkGGSAcZC5h2HUQYRiZDSEqB1CSkADPwLxW0IGY5EnSi+xUQYyrASIM4HYAIgvkuAgkvQScpAw0OJmqENgbiDWQWTpxecgL6ALdID4ChA3ArEJ1EXEOIhsvYRCCBYqZUBGJwkOQo5RkvSOOohQhhgNodEQwlJgjuYyQrXIaAiNhhAoBEhKB2hBRpLe0ZKaGiU1qMW3C4iVoVFRDqS7CKVkqDzJevFFGciwZCA2xmL5PahPZ+JwGNl6iU1DRAYI5cpGHUQoDEdDaDSECIUAIfnRNEQohAAxvlgl02j4IwAAAABJRU5ErkJggg==\" 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: 212.5px 8px; transform-origin: 212.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 77px 8px; transform-origin: 77px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years for them to again see each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 86px; 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 43px; text-align: left; transform-origin: 384px 43px; 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: 266.5px 8px; transform-origin: 266.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn a theoretical environment, a particular species of cicadas selects to emerge every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAACXklEQVRYR+2WOy8FQRTH7/0EnpWIAoVGKDwaJCRCaHRotB4fAEFLQu/V6fABCJWCRogQUXlUSq/EB+D/T2Zuzp19zOzeO8ktdpOTnd2dc+a3Z85j8rkKufIVwpHLQMydyDyS1CPNUGhIGdC/0Htw1bVtDUHaIDOQScPoufFch+cu8W4J461ygWg7fRhcCqOdEX9LmG0FPY77ablBZmFwTxn9xr02ZgENXY85n+UG2YHBeWV0F/cFC8gBvre6QnCeLUa0rS8MatTDNO5HMYtwe4YtcwLqLiAd0LoXmi0YvxmWOOc9yVaYJC4gMj5uYaDbMEIPPEOYMSag8+64gHAbdOpuYLxqWGf8MM1HnVcNmegC8if05jB+gjRCmiBDkBEI3+/7BDHrhyxiPVhYB3BY3CTisnlkHdZWlEVCmO6/Ud/MuEkEwck2EC6ky3ZYyWb83EGcS3kUYRwIs+FDKIaV9TN8J6Bzc0sDMgWlQ6UYVdaZLalTVkLFeUSW9WMoEczbFQfyglWZDbxsZb1kwCgQuvxVWC85PW2kUSCyrBMoUSdVi3IrByD8KQY+U3wRsqy+F7WEMBAqXYttYX9h/XA+W4i/58KbEGZWFeQR0g5hbSrabhOEfzEBqTZc+YPnNPVC9ykG+wWEbUAnQT/GV3odW0Gzba3tuz7HyKxjEvDqlV72CaL7FGvQIIRFTydBoBz4BNHxIY+WukgGurVPEJZ/HhFka9DxwXLA7l04cvoE4TmGqS9jgTFDWYPwPFNolr5AxrDICcQ80eluHjjp+QKxZVPgewZiuiTzSOYRWxr9A77yaCm7nxHGAAAAAElFTkSuQmCC\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci number\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 23.5px 8px; transform-origin: 23.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) days, while the predator wasps selects emergence period of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 19.5px; height: 20px;\" width=\"19.5\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\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);\"\u003em\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: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th Fibonacci number) days. \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: 71px 8px; transform-origin: 71px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven the values of \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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \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);\"\u003em\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: 367.5px 8px; transform-origin: 367.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 115px 8px; transform-origin: 115px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if the cicadas selected \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHAAAAAoCAYAAAAmPX7RAAAEWUlEQVR4Xu1aOYsVQRDe/QGKVyRi4AGKgeIZqIGCB5gIKiqCieAVGKooYqSiuVe2mYq5aGKigTcaGHkgYuiJP0C/b5mSpulrqmd3p8ceKN68N13dVfV1dR3zRkfqVbQFRouWvgo/UgEsfBNUACuAhVugcPGrBw4cwAXQb65Sx9/ge6PkLZVtNgRf6hF+On5fDzrrea7ijXkgAVwCOgjaay38wPpOAVYbv53C/ZVSkVDKfRJ8lwO8G/Hssee5ijcGoKy1ATePjIVXeLyLIF5twN6Bz3tKQ5TIRt3fgWZ6hOeG3x7wPhVvKoBHsPCNZvEf+JwVsLCAPQdjvpWIhFJmetBh0DqF3mreVACvQahjjWLX8Xk8AuAYni9SGqJUtu8QnLbxxbiQXmreVAC5gBwN+3F/OyANj5ItkTGlguSTex8e3AIdBT0BtUnecniTOjHLIdBrQ/KFuP9oacIxXxRHx1CAfA9FaBe5GGa4yW8mgJnDmwSgGf9eQKA1ltUleDMDtYEdCkAhPcSDfGN4rJ7zbO4c3vH1Uo5Q7iQpIS7i3j7jGR9ZbvgyrMkEkSfBtA4W9KX6vqmlXl6GAZsMe8l4ZqAHPCDm8CYB+MeQmmf8W9A80HzQZtA2EH/ncTHV1/1Gnhw5Yll2ytwEhZvdrJ1T6+JWvDEPtOs/s3hfCwElsXHFxRRFux5zAROuypz0J/h5tHVxmUckN8Zijxe61krijQFIg5xpZncVos+bZ3Zc7EL5ocxh2jDUiXHpG+WNAUiApD3mOgIYH1+B/reWWZvNxSPxQ8PQNtREeUMAMrv8akjqap8x5hDYWN3D5II9wpcgX6HLbsTKRtmt+DwPGkorThyhLYA0f5A3BKB9BrvaZ9whodKBz3eDToMYL11ZLIXkRmDnhsBxPqk92yo8VVlozCMluYo1QVzzBHlDAJrtszuYWRPYCeAv0KHGA10Aykaxj2gpX9r0VPuShdpAiBdpkr0gbwhAs0Og2TmmEvKqxAWgCGi/vRCe1PSb6/UtC6VMEsdcTZCY50Z5fQCawZOLaHZOKoBSZ9qeJiWMRvGYYbp8Lse2r/iXk8yVgebwjuvgA9BsnzGDyn2z4PNAs870ARiSs0sgNHPZdtqFScyEzhceuFYO7z9ZXQAy+3zaeB0H0gPYJst5t5cLYJs4qAFCy2M3OjgPe5+fQOxSceOfALmy6RxeL4DcMTtBMyyN2J3IqfeGCiDNxHDDJM3sAD3E98+g0Gu3XN5xiGKFvHZn2nw+AM1XVaEjtK8e2JV91PNMNYAUvPQkRm38Lhj7AKDUbnaWFio9utB9EHP0AcBYIe/7B9wgAMhVYrIAlK56qJXG11PyukVio298rt6D4Z9oAJmh8Q9Ol0DshfKdGP/R9gxk9lBZujCT2wO6C2IKPgaKZXGDAUKryEQDqJWr8iVaoAKYaKi+DqsA9hWZRLkqgImG6uuwCmBfkUmUqwKYaKi+DqsA9hWZRLn+AhSJCzgQfWqVAAAAAElFTkSuQmCC\" style=\"width: 56px; height: 20px;\" width=\"56\" height=\"20\"\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: 74.5px 8px; transform-origin: 74.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and  the wasps chose \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 51px; height: 20px;\" width=\"51\" height=\"20\"\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: 137.5px 8px; transform-origin: 137.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, they will emerge at the same time again in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMQAAAAkCAYAAADW4pXpAAAGCUlEQVR4Xu1bz8uXRRDXPyCtvIVBmB08Ffijg+XNkoIoCCzppqBWCF6SUm9qFHrp0C8QQqQM6qiUQh3Ug2hQEHQoRTp0K+svyPm8PON3XXZnZ3f26/O8r/PC8MJ397M7z+x8Zmdnn2f5Mv9zC7gF7lhgudvCLeAWmFnACeHe4BYILOCEcHdwCzgh3AfcAmkL+A7hnuEWqNwhnqT+D2SstoN+P05yI9NuwU5hodaQEo8MivxG//9uVAp2+KURO0WY5Xlqsc8IBnib2l4T2quxpR1iFU32O8lDmUm/p9+3Zdos2LGd4AVS4COSxyNF8LxvCgEg1huLdYTkWmHhxn5e7fxwsEMkm0ge1oKGfi1YYC4K8xygtg8z7U3YEiHeock+EBR6ltouZdot2Epbd+1+lEZ7TxjxFrVtKJAiJtTXi5wQiOrwg+cHu8AGWkJYsN8Fc8ZLcp1+eE5YhyasRAiO8O/SpJ9VupwFWzlV1+4cVT6hUTkVxLNsJUGk5x0DEX9jZmYQ6s+h7dPh/2ImxG56hpUkv5KcJkG2oCWEBctr8RTNV5tuNmMlQuBh3ldEw5RfWLBdPbxysKvUH4K0KP6LU0DNQv2/BAgR2oGjrpYQFuyZIQDlAo+0tM1YiRB/DJFgP/2vPVBasKkHxbb7I8kbJOcqnBw5/MdKUmOOb0meJskdnsN0ag/1K+2cTojZYtWQCcUMpETYqb8kyaXlKVewYJflCAFH+iqaDWnCCZILgsMAYsHmfB1OvXdofFFJilCPY4Q5WCAS8v5HC04eHtScEBWRibrWECJcb54FaecpxdpbsFlCIMLHFRZWDNvlSwJrLVjJxDWkqCWDdmlDQkgFBR7Pd4iZZbWE4AifWxME5u0kqVK/Bbswn5QyYfFXkGweFIgJIkVqC9ZKinmRAXrx2NjOpdSqNyGk+xwtmdGvJvVIjat1aisW57V1JKtJtgx2D0v/UqXPghUJET8U5+OsGJR6gkRzWWXBxnpIO8U8yQA9eG6p/h3q22uHkEqIWkK0HITjse8VIeJ54eQ7ScIrAOkOLMRXYUv3ECnFYBTU4fGndQz0hWKtWA0p5k0GrjL9Q8podgfo3IsQOMyv13p+pt+/Q6S1DDMWIVhnLq5wUNakrVXYWkJgcORpyOOglJalrJQFK5ECh2a+TNMcoFucgi8aaxahFyFa9J0HZmxC4JlQ/Dg7PFxNQFZhWwiBgTl1aNmGLViJFGibFxkQmX4meZ0ENW7tnxNiZikLmWJ7c+Gm5cJTxLYSglnaQggLNjYMLgD5Nhht2pKs1qHRD6nSFRIYv1S6jcd1QsyHEHwf1EIIEdtKCC4/otqytsa7qK8FG04VnhmgB1fBepKCzz3nG8gAXXsR4n6rMpVcitNXXNyl3iqQ8CK2lRAc5VsUsmD5QVMH6Jp7ipLBeWfANt9Khp6EuN+rTPF6cZSvTWExjohtJQQ7X0s0tmDxQFI1qScp8E5TiQwgt/QqSa8dwqtMd1MC5wC8bVt66zgV+ERsihB8sfEXjSbdBqYqTBasJmprSqs9SIExUBHLfevBxMSlkbRl9yKExjb3oo/lYKzF8kdZuffn2AdSFSYLdsF+KUKgzs51Xkx6koQv3zinBnYXSfxargVbWlANGXgMCykYi4rVfxmlHqPf8W5VqQTrhJgZUEMIruYBhYINgk1Y1eN7COzcbwV+if4W7B0tU4SI81UcWD8nwTvxcAIoeDhShge0YCVC1JDBQorUi2E5vaRvIoAJP5AqfcxSCgZTaI+/QCsFg1BnLTb1lSUykR9IOAjlXqq0YEVCoBEO+DLJg0NPpE43Sb4hyX0/zYNasLmFD6N2TemzBofzwL4Kz/tiCA4xJH7+sB0LiwWu/eClQq3uXeHM+HYe6Uj89xP9cJkkd45qwcKxXyV5JZgM8+CjK/if9KqQBbswXeuhurvVFQPC0WouxUKCtuAUKnmXpWaBxUSIpWZ7f54JWsAJMcFFcZXGs4ATYjzb+8wTtIATYoKL4iqNZwEnxHi295knaAEnxAQXxVUazwJOiPFs7zNP0AJOiAkuiqs0ngVuA0yO4TSogeKYAAAAAElFTkSuQmCC\" style=\"width: 98px; height: 18px;\" width=\"98\" 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: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e days.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are given: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAAoCAYAAACLvGZ4AAAC5klEQVRoQ+2av04VQRTG4QFMAKkIoQALO0gEKisSkWBDYQI0NBQID6BEW8BISSJ/OjvhBQg0NNAoaKCwUikIpQjEB4DvS2aSybi7Z+/ODOxu5iYnu/fuzJkzvzn3zDlzb3NTfAUj0BxMc1TcFOEGdIIIN8INSCCg6ui59wi3G2N3FBz/H/qdFOxb9m69eeYmeS7hPoZMQcatGe9a7x/ifb/x2RvcL5edUoP2TaD9AuQIwvvMlwRXd36Km31DU1/KyhHwR7UQL3DdlgyoyPNR2LkC6VH2bvmEOwNl60rxJa5tGVD0QrSjzUVF4GWZuYiHZ6qBZuAV7iqUz6oB1nCdE+B+wvNHNQBrT+EmhOf+hdJWpXgS180McAwNz4Q2VeXuHS53xmODBuPOqUWHbc5rEgayFt47XDPecpccsEanp/6EMFOwoVfVQ9Ps9g6XIUCnYUu4f2eNzHjMlG0kIEl+Mx540H/gqMM7XK2Qdr2C/IB0QrogQ5Dn6vMNR8Ozuu+ocVyGkLKcPLq9wrXzW7NwGIQ1epNLisN5jM3bhunQk7yNU9pd4XMx8RfG8AqXk3qrBiRY+6t/qJ7ZcdiRQ2m7e4VLeLqkTSpnGY+/Q+pW5qatrje4zAL+GKMklbyMhYQuHdBwQ/oA+QaxN8TSummCYd7gMj59VgOkbQbMErLSLz5/CZlX8Tkp28gDt3bZglny5qqlEygR7jVkWnluUbi1yxZ+AYg+BZJKXsn7XjvCrVW2QI/7bRBzTbVc4UqLd1fPvcRcs+QlZNcTrghXLT+zhC9GSOB5AvNbl7PZOsDVcyAmOtywsJn/978FZghjkBbre8bqxiWfrTLcNCZEtAdhcZWYiub9mcc1plUZbuG5R7iF0ckdI1yZUeEWEW5hdHLHu4KrT9eKVmjyTErYIjRcFiP8sfI9hGe/PKPgL8dfpTSmhKwaNik03IYNqlOHCDfgaka4EW5AAgFVR8+NcAMSCKg6em5AuLcpBpYp3C+hpQAAAABJRU5ErkJggg==\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 252px 8px; transform-origin: 252px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Since the answer can be a huge number, please present your answer \"modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 70.5px; height: 18px;\" width=\"70.5\" 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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\".\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = emergeInsects(n,m)\r\n    e = fib(n) * fib(m);\r\nend","test_suite":"%%\r\nn = 10;\r\nm = 8;\r\ne_correct = 1155;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 25;\r\nm = 15;\r\ne_correct = 9153050;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nk = 102334155;\r\nps = primes(75);\r\ni = randi(21);\r\nn = ps(i);\r\nps(i) = [];\r\nm = ps(randi(20));\r\nfn = [1 0] * [1 1; 1 0]^n * [0; 1];\r\nfm = [1 0] * [1 1; 1 0]^m * [0; 1];\r\ne_correct = mod(mod(fn,k)*mod(fm,k),k);\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 85;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 100;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nps = primes(541);\r\nns = ps(51:100);\r\nms = ps(1:50);\r\nes = arrayfun(@(i) emergeInsects(ns(i),ms(i)),1:50);\r\nss = floor([sum(es) mode(es) median(es) std(es)]);\r\nss_correct = [341464745 392836 392836 14111292];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1001;\r\nm = 209;\r\ne_correct = 47142701;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 1111;\r\nm = 606;\r\ne_correct = 6657472;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 123456789;\r\nm = 43210;\r\ne_correct = 4895;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nfiletext = fileread('emergeInsects.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java') ...\r\n|| contains(filetext, 'if') || contains(filetext, 'for') || contains(filetext, 'switch') || contains(filetext, 'while') || contains(filetext, 'try');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":9,"created_by":255988,"edited_by":255988,"edited_at":"2022-09-29T07:24:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-09-29T07:24:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-24T18:01:04.000Z","updated_at":"2026-02-28T14:51:40.000Z","published_at":"2022-09-25T07:46:20.000Z","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\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \\\"a prime number\\\" of years. For example, if the emergence period of a wasp is every \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\u003e12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, selecting \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 or \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\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or even \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\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \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\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \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\u003e132\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years for them to again see each other.\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 a theoretical environment, a particular species of cicadas selects to emerge every \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\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"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-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e) days, while the predator wasps selects emergence period of \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\u003eF_m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th Fibonacci number) days. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the values of \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 and \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\u003em\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, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\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, if the cicadas selected \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\u003eF_{10} = 55\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and  the wasps chose \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\u003eF_8 = 21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, they will emerge at the same time again in \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\u003e55\\\\times21=1155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e days.\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\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou are given: \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\u003eF_1=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Since the answer can be a huge number, please present your answer \\\"modulo \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\u003e102334155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e\\\".\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":56065,"title":"Easy Sequences 74:  Fibonacci Bank Account","description":"In fantasy world where money does grow on trees, a man decided to top-up his bank account, daily. On the first day he noticed that he has initial \"integer\" balance of , so he made his first \"integer\" deposit of . On the next days, he made deposit equivalent to the day's starting balance plus the amount he deposited on the previous day. This means that on any -th day the following formula for the amount he would deposit, holds:  .\r\nGiven that on the -th day, he made a deposit of , calculate his initial balance  , his first deposit , and his final ending balance at the end of the -th day transaction. It is also known that the first deposit he made () is the smallest possible first deposit to attain  at the -th day, using the above formula.\r\nWhile the account balances can be negative, deposits are always positive (no withdrawals please).\r\nFor example, bank statements if  and , are shown below. His first deposit , is the smallest possible first deposit to attain a deposit of  on the -th day. His starting balance should be , and his ending balance at -th day should be . \r\n                        \r\nSince this problem involves unbelievable sums of money, please reduce your answer modulo . Therefore for the above example the final answer should be:\r\n  \u003e\u003e k = mod([-30,20,80],2178309)\r\n     k =\r\n        2178279 20 80\r\nHINT: Use of a big integer arithmetic implementation, is not required in this problem. You can get the modulus using Pisano Period.  is the -nd Fibonacci number. Also, the ratio of the day's ending balance to the deposit approaches the Golden Ratio as the values of  gets larger. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.45px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 12.6px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 522.45px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 261.225px; transform-origin: 407px 261.225px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 77.4px; 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 38.7px; text-align: left; transform-origin: 384px 38.7px; 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: 380.5px 7px; transform-origin: 380.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn fantasy world where money does grow on trees, a man decided to top-up his bank account, daily. On the first day he noticed that he has initial \"integer\" balance of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 119.5px 7px; transform-origin: 119.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, so he made his first \"integer\" deposit of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 146px 7px; transform-origin: 146px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. On the next days, he made deposit equivalent to the day's starting balance plus the amount he deposited on the previous day. This means that on any \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);\"\u003ek\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: 82.5px 7px; transform-origin: 82.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th day the following formula for the amount he would deposit, holds:  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 79px; height: 18.5px;\" width=\"79\" height=\"18.5\"\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 59.4px; 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 29.7px; text-align: left; transform-origin: 384px 29.7px; 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: 56.5px 7px; transform-origin: 56.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven that on the \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: 94px 7px; transform-origin: 94px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-th day, he made a deposit of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 95.5px 7px; transform-origin: 95.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, calculate his initial balance  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\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: 2px 7px; transform-origin: 2px 7px; 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: 49.5px 7px; transform-origin: 49.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehis first deposit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 45px 7px; transform-origin: 45px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and his final ending balance at the end of the \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: 62.5px 7px; transform-origin: 62.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-th day transaction. \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: 135.5px 7px; transform-origin: 135.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"perspective-origin: 133.5px 7px; transform-origin: 133.5px 7px; \"\u003eIt is also known that the first deposit he made \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2px 7.5px; transform-origin: 2px 7.5px; \"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 48.5px 7px; transform-origin: 48.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2px 7.5px; transform-origin: 2px 7.5px; \"\u003e)\u003c/span\u003e\u003cspan style=\"perspective-origin: 46.5px 7px; transform-origin: 46.5px 7px; \"\u003e is the smallest possible first deposit to attain \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14px; height: 18.5px;\" width=\"14\" height=\"18.5\"\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: 20.5px 7px; transform-origin: 20.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at the \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: 93.5px 7px; transform-origin: 93.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th day, using the above formula.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 18.9px; 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 9.45px; text-align: left; transform-origin: 384px 9.45px; 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: 284px 7px; transform-origin: 284px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhile the account balances can be negative, deposits are always positive (no withdrawals please).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 57.6px; 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 28.8px; text-align: left; transform-origin: 384px 28.8px; 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: 95.5px 7px; transform-origin: 95.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, bank statements if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33px; height: 16px;\" width=\"33\" height=\"16\"\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18.5px;\" width=\"44\" height=\"18.5\"\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: 53.5px 7px; transform-origin: 53.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, are shown below.\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: 52px 7px; transform-origin: 52px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e His first deposit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18.5px;\" width=\"44\" height=\"18.5\"\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: 87px 7px; transform-origin: 87px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is the smallest possible first deposit to attain a deposit of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 16px; height: 16px;\" width=\"16\" height=\"16\"\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: 22px 7px; transform-origin: 22px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e on the \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);\"\u003e5\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: 23.5px 7px; transform-origin: 23.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th day. \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: 97.5px 7px; transform-origin: 97.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHis starting balance should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 16px;\" width=\"25.5\" height=\"16\"\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\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: 2px 7px; transform-origin: 2px 7px; 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: 84.5px 7px; transform-origin: 84.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eand his ending balance at \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);\"\u003e5\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: 23.5px 7px; transform-origin: 23.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-th day should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 16px; height: 16px;\" width=\"16\" height=\"16\"\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 94.45px; 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 47.225px; text-align: left; transform-origin: 384px 47.225px; 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 7px; transform-origin: 48px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                        \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 294px;height: 89px\" 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\" data-image-state=\"image-loaded\" width=\"294\" height=\"89\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; 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: 163px 7px; transform-origin: 163px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince this problem involves unbelievable sums of money,\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: 116px 7px; transform-origin: 116px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e please reduce your answer modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 50px; height: 16px;\" width=\"50\" height=\"16\"\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: 71px 7px; transform-origin: 71px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore for the above example the final answer should be:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 55.2px; 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 27.6px; transform-origin: 404px 27.6px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18.4px; 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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 9.2px; transform-origin: 404px 9.2px; 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: 115.5px 7.5px; tab-size: 4; transform-origin: 115.5px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; k = mod([-30,20,80],2178309)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18.4px; 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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 9.2px; transform-origin: 404px 9.2px; 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: 28px 7.5px; tab-size: 4; transform-origin: 28px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     k =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18.4px; 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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 9.2px; transform-origin: 404px 9.2px; 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: 73.5px 7.5px; tab-size: 4; transform-origin: 73.5px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e        2178279 20 80\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 56.7px; 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 28.35px; text-align: left; transform-origin: 384px 28.35px; 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: 15px 7px; transform-origin: 15px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT\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: 321.5px 7px; transform-origin: 321.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: Use of a big integer arithmetic implementation, is not required in this problem. You can get the modulus using \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePisano Period\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 4px 7px; transform-origin: 4px 7px; 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: 50px; height: 16px;\" width=\"50\" height=\"16\"\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: 20px 7px; transform-origin: 20px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 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: 16px; height: 16px;\" width=\"16\" height=\"16\"\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: 11px 7px; transform-origin: 11px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-nd \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number.\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 213px 7px; transform-origin: 213px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Also, the ratio of the day's ending balance to the deposit approaches the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Golden_ratio\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGolden Ratio\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 11px 7px; transform-origin: 11px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as the values of \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: 36px 7px; transform-origin: 36px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e gets larger. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function b = endingBalance(n,d)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 5; d = 50;\r\nb_correct = [2178279 20 80];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 8; d = 1000000;\r\nb_correct = [2570 51 1618037];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 10; d = 1000000;\r\nb_correct = [154 144 1618034];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 10; d = 11111111;\r\nb_correct = [140 2571 551683];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 15; d = 123456789;\r\nb_correct = [1795869 236601 1531161];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 20; d = 987654321;\r\nb_correct = [185240 474785 1357763];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 20; ds = 101:200;\r\nbs = arrayfun(@(d) sum(endingBalance(n,d)),ds);\r\nss_correct = [2374904 393046 2571387 589529 2767870 204627545 899546]; \r\nassert(isequal([bs(10:20:end) sum(bs) floor(std(bs))],ss_correct))\r\n%%\r\nn = 25; d = 999999999;\r\nb_correct = [271927 36720 1728709];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 50; d = 5050505050;\r\nb_correct = [2022433 1443153 1051772];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 75; d = 7575757575;\r\nb_correct = [299891 506760 488503];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nn = 100; d = 100100100;\r\nb_correct = [1269323 1221770 770498];\r\nassert(isequal(endingBalance(n,d),b_correct))\r\n%%\r\nfiletext = fileread('endingBalance.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java') ...\r\n|| contains(filetext, 'if') || contains(filetext, 'for') || contains(filetext, 'switch') || contains(filetext, 'while') || contains(filetext, 'try');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-09T03:47:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2022-10-04T05:30:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-28T08:48:17.000Z","updated_at":"2026-03-01T12:55:55.000Z","published_at":"2022-10-03T19:21:33.000Z","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\u003eIn fantasy world where money does grow on trees, a man decided to top-up his bank account, daily. On the first day he noticed that he has initial \\\"integer\\\" balance of \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\u003eb_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, so he made his first \\\"integer\\\" deposit of \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\u003ed_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. On the next days, he made deposit equivalent to the day's starting balance plus the amount he deposited on the previous day. This means that on any \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\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th day the following formula for the amount he would deposit, holds:  \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\u003ed_k = b_k+d_{k-1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven that on 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\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-th day, he made a deposit of \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\u003ed_n\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, calculate his initial balance  \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\u003eb_1\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,\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\u003ehis first deposit \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\u003ed_1\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, and his final ending balance at the end of 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\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-th day transaction. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIt is also known that the first deposit he made (\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\u003ed_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is the smallest possible first deposit to attain \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\u003ed_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at 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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th day, using the above formula.\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\u003eWhile the account balances can be negative, deposits are always positive (no withdrawals please).\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, bank statements if \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=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003ed_n=50\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are shown below.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e His first deposit \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\u003ed_1=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is the smallest possible first deposit to attain a deposit of \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\u003e50\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e on 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\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th day. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHis starting balance should be \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\u003e-30\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,\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\u003eand his ending balance at \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\u003e5\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-th day should be \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\u003e80\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\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=\\\"89\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"294\\\"/\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\u003eSince this problem involves unbelievable sums of money,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e please reduce your answer modulo \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\u003e2178309\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore for the above example the final answer should be:\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[  \u003e\u003e k = mod([-30,20,80],2178309)\\n     k =\\n        2178279 20 80]]\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Use of a big integer arithmetic implementation, is not required in this problem. You can get the modulus using \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePisano Period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw: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\u003e2178309\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 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\u003e32\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-nd \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e Also, the ratio of the day's ending balance to the deposit approaches the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Golden_ratio\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGolden Ratio\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e as the values of \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 gets larger. 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Sequences 75:  Easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nI have used Pisano period in the solutions of Problem 56050. Easy Sequences 73: Emergence of Fibonacci Insects and Problem 56065. Easy Sequences 74: Fibonacci Bank Account.\r\nIn this problem, we are asked to simply output the Pisano period of given integer .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.45px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 12.6px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 327.95px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 163.975px; transform-origin: 407px 163.975px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; 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src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 2px 7px; transform-origin: 2px 7px; 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: 44.5px 7px; transform-origin: 44.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \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: 4px 7px; transform-origin: 4px 7px; 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: 123px 7px; transform-origin: 123px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003c/a\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: 26px 7px; transform-origin: 26px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \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: 29.5px 7px; transform-origin: 29.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 11.5px 7px; transform-origin: 11.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAgCAYAAABHA7voAAADHElEQVRYR+2XuYoUURSGZx7BJRXEJTAQxQUTDTRwxNwNDMUtMFFU1MyFmXkAl2wSNzRV1MRAEVwCxcDABTFWRHwB/6+pA0XNPefe6e6qwaYLfqq7bt1zz3/2mpwY8WtyxPlNjAn+7x7uyoMbZKj9wsUhGGyvZKwQbpXI6oIg5I4JJzMKba/W/+r+IfPuQa2vLzFY2wRXSYn7wh7hl6P0WT0/LyyprT/V7yvCy4DoVa19FO5Fxmib4BMdPhcocV1rJ4Qbwndhk3CgUvi37luEbw6BZXr+WtgdvNNqFSXkILfGUZD1F8JGoR6ShN/das853WczXsTzbvi36UFC56vgFRa8B7FUsWAvnnwnbA0Ikt/vheVCMgXaIkj4/BR2CF4e4Skvf8jLmQKCcP8iXPJk5Qii6LrAgiylCFj45eR7oo3gtSACbC95Tp4mw9RTAGKXBQpAdFEh8UTzQsGjgpd/GbE9zxKizfxM7eOsXQKVet6VIgg5rPJM2CxMCVjyT6X0Ut2nK0mvdE95MDw0w87Cm8qa652IsjaDXkUEacoPBZL2rUCVwhMc/LkinvJaXfggBCk+lP5tlQ4Ze/QIkq/JaIxyxPLISrWV70MSFjbXyqpu2AQaM4Y9ElYLXv9rbu+boDVhywPClnAtKRz9eJCS/1zYKeRGtWa07NODZDvxlGXEoocBwtP+e0WlaVXC/GahMdjbLzn24gj0Ky4ybGLOuyBYeNr/43pGYyZc3wRhZA24JNRy5DBW9OVAnXggJCeepgexxBnB2oNNCBaeVNMfwhEvJGqupAGfEh433Vv7z3lMK4ed9yCHAbxqahXXbSdNgkYEHepzYP05ayWeIQ9XZpRDLgN1dEW9kEg6HRm7SZAqhtXnhHqlxIqUYiob4VJSBKytrNX7qTmRsKfPRpc7oVSbcl8rRRUxo0O4nAuxQWTTxphBk8XFBJeU/EGUYC9V7o4Qfbwu9AybtqIP6Z7MLgjaXFsa2jmyyLstUCOyqdIFQVM4+jzKkaqvE5qfnLyeJ6dLggshMbR3xwSHZspFEjT24CIZfmjHjrwH/wEbCpohvh7E7AAAAABJRU5ErkJggg==\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 4px 7px; transform-origin: 4px 7px; 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: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 13px 7px; transform-origin: 13px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \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);\"\u003e3\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \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);\"\u003e8\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \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);\"\u003e6\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: 40px 7px; transform-origin: 40px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.45px; 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 103.225px; text-align: left; transform-origin: 384px 103.225px; 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: 24px 7px; 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data-image-state=\"image-loaded\" width=\"649\" height=\"201\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; 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: 129px 7px; transform-origin: 129px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eI have used Pisano period in the solutions of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 18.9px; 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 9.45px; text-align: left; transform-origin: 384px 9.45px; 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: 258.5px 7px; transform-origin: 258.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, we are asked to simply output the Pisano period of given integer \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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1234;\r\np_correct = 1236;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\np_correct = [50 150 200 150 100 600 400 300 600];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000000;\r\np_correct = 1500000;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 19531250;\r\np_correct = 117187500;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 102334155;\r\np_correct = 80;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 123456789;\r\np_correct = 6862416;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 4807526976;\r\np_correct = 96;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000:2000;\r\np = pisanoPi(n);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [1153 240 768 1124];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T12:23:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2022-10-06T10:06:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-05T08:50:04.000Z","updated_at":"2026-03-22T12:27:15.000Z","published_at":"2022-10-05T14:00:36.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003e of an integer \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, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \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 repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \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\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \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\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\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=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\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\u003eI have used Pisano period in the solutions of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\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\u003eIn this problem, we are asked to simply output the Pisano period of given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" 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Sequences 76:  Not so easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nThis problem is a bit different from the previous Problem 56220. Easy Sequences 75: Easy as Pisano Pi.\r\nIn this problem, aside from , we are given the exponent  and modular base , and we are asked to calculate: \r\n    \u003e\u003e mod(pisanoPi(n^e),m).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 348px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 174px; transform-origin: 407px 174px; 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\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003ePisano period\u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\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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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e8\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, 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649px;height: 201px\" 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data-image-state=\"image-loaded\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis problem is a bit different from the previous \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, aside from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, we are given the exponent \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ee\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and modular base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and we are asked to calculate: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20px; 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 10px; transform-origin: 404px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    \u0026gt;\u0026gt; mod(pisanoPi(n^e),m).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n,e,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1:10; e = 3;\r\np_correct = [1 12 72 96 500 72 784 768 1944 1500];\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = (5:5:100)+1; e = repmat([2,5],1,10); m = 3:3:60;\r\np_correct = [0 4 6 0 12 12 6 16 24 18 12 24 33 28 18 24 30 52 54 50];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1234; e = 100; m = 1000000;\r\np_correct = 954176;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\ne = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\nm = 1000000;\r\np_correct = [580050 270400 752200 177600 312500 974400 184400 137600 600];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 19531250; e = 1000; m = 123456789;\r\np_correct = 35683881;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 102334155; e = 2;\r\np_correct = 8186732400;\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = 123456789; e = 123; m = 456789;\r\np_correct = 231084;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1000:2000; e = 1000; m = 2000;\r\np = pisanoPi(n,e,m);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [831 0 830 615];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T19:38:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-06T08:32:13.000Z","updated_at":"2026-03-23T12:31:39.000Z","published_at":"2022-10-06T19:38:45.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003e of an integer \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, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \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 repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \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\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \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\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\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=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\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\u003eThis problem is a bit different from the previous \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\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\u003eIn this problem, aside from \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, we are given the exponent \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\u003ee\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 and modular base \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\u003em\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, and we are asked to calculate: \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[    \u003e\u003e mod(pisanoPi(n^e),m).]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4REARXhpZgAATU0AKgAAAAgABAE7AAIAAAASAAAISodpAAQAAAABAAAIXJydAAEAAAAkAAAQ1OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFJhbW9uIFZpbGxhbWFuZ2NhAAAFkAMAAgAAABQAABCqkAQAAgAAABQAABC+kpEAAgAAAAM1NwAAkpIAAgAAAAM1NwAA6hwABwAACAwAAAieAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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AkqgD22ivEv8AhKP2hv8AoRPD/wD3/T/5KqKLxj8f55Jo4PBXhuR7dxHMqXUZMbbQ21gLrg7WU4PZge9AHuVFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeGt4x+P63Udq3grw2LiRGkSI3Ue9lUqGYD7VkgF1BPbcPUVL/wAJR+0N/wBCJ4f/AO/6f/JVAHttFeJf8JR+0N/0Inh//v8Ap/8AJVH/AAlH7Q3/AEInh/8A7/p/8lUAe20V4l/wlH7Q3/QieH/+/wCn/wAlUf8ACUftDf8AQieH/wDv+n/yVQB7bRXiX/CUftDf9CJ4f/7/AKf/ACVR/wAJR+0N/wBCJ4f/AO/6f/JVAHttFeJf8JR+0N/0Inh//v8Ap/8AJVRXPjL4/WcPm3fgvw3BHvVA8lyigszBVXm66liAB3JAHWgD3KivDP8AhM/j/wD9CP4f/wC/y/8AyVR/wmfx/wD+hH8P/wDf5f8A5KpXQro9zorwz/hM/j//ANCP4f8A+/y//JVH/CZ/H/8A6Efw/wD9/l/+SqLoLo9zorwz/hM/j/8A9CP4f/7/AC//ACVR/wAJn8f/APoR/D//AH+X/wCSqLoLo9zorwz/AITP4/8A/Qj+H/8Av8v/AMlUf8Jn8f8A/oR/D/8A3+X/AOSqLoLo9zorwz/hM/j/AP8AQj+H/wDv8v8A8lVHB47+PN1bx3Fr4N8NzwTIHjliuEZHUjIZWF1ggjkEUXQXR7vRXhn/AAmfx/8A+hH8P/8Af5f/AJKo/wCEz+P/AP0I/h//AL/L/wDJVF0F0e50V4Z/wmfx/wD+hH8P/wDf5f8A5Ko/4TP4/wD/AEI/h/8A7/L/APJVF0F0e50V4Z/wmfx//wChH8P/APf5f/kqj/hM/j//ANCP4f8A+/y//JVF0F0e50V4Z/wmfx//AOhH8P8A/f5f/kqj/hM/j/8A9CP4f/7/AC//ACVRdBdHudFeER+O/jzNJKkPg3w3I8L7JVS4QmNtobawF1wdrKcHswPcVJ/wmfx//wChH8P/APf5f/kqi6C6Pc6K8M/4TP4//wDQj+H/APv8v/yVR/wmfx//AOhH8P8A/f5f/kqi6C6Pc6K8M/4TP4//APQj+H/+/wAv/wAlUf8ACZ/H/wD6Efw//wB/l/8Akqi6C6Pc6K8M/wCEz+P/AP0I/h//AL/L/wDJVH/CZ/H/AP6Efw//AN/l/wDkqi6C6Pc6K8M/4TP4/wD/AEI/h/8A7/L/APJVNXxv8fHuktR4M8N/aHRpEiNygdlUqGYD7VkgFlBPbcPUUXQXR7rRXiX/AAlH7Q3/AEInh/8A7/p/8lUf8JR+0N/0Inh//v8Ap/8AJVMZ7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXzv4r+LPxp8EaVHqXifwl4fsbSWYQJJkyZcqzAYS4J6K3OMcV9EUAFFFFABXz7+zR/wAk11D/ALC8n/omGvoKvn39mj/kmuof9heT/wBEw18lxf8A8it+qOjD/Gew0UUV+NnoBRRRQAUVzfjS8lsrXR5Ibl7dW1e1SVlkKAoX+YE/3SOoPFaeia1Br9gb6yhnS0ZyIJpkCi4QdJEGc7D2JAzjIGCCd3QmqSrdGTze9y/11/yNGiiisCgooooA8/8Aiv8Ae8Ef9jdYf+z16RXm/wAV/veCP+xusP8A2evSK/XuE/8AkVx9WeXiv4gUUUV9UcoUUVyGm6h4iHxMudP1i6tPsEmntcW1papkR4mChmkYBmYg8gYUdBnqRau39dweiudfRRRQAUUUUAUNCl87w7psvmebvtIm8zzPM35Qc7vMk3Z9fMfP95upv1Q0KXzvDumy+Z5u+0ibzPM8zflBzu8yTdn18x8/3m6m/Q9xhRRRQIKK47x5JrWkaHqOvad4hktDZxK1tYraxNFM4I+SQsrOxdjtGxkxkcZ5PXQs7wRtKux2UFlBztOORR0uN6D6KKKBBVDTpfMvtVXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMe/VDTpfMvtVXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMcGX6KKKBBRRWF4puY7S0glu/FEfhu18za9wTArSNj5UDzBkHQkjaSccEYOQaVzdornvA+o6hqvhaK61R2nZppVguXiETXMAciOUoMAFlweABzkAA10NNqwgooopAQ20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1gW0uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1vD4TWOwUUUVQwoqtqWo2uk6Xc6hqEohtbWJpppG6KqjJNcV4E13xHqfjHX7bxHKEjW1tLu1sPKRfsSymX92WAyzbUTcST82cYFC1B6K/wDX9anfUUUUAFZuvS+Vp0TeZ5Wb21Xd5mzObiMYz5idc4xuOc42yZ8ttKs3XpfK06JvM8rN7aru8zZnNxGMZ8xOucY3HOcbZM+WwBpUUUUAFFFFABRXm3hbXbuTVbaLxR4l16z1Ce8njj0680qO3tZsO+xEla2G4lAGAWUk/nXpNHS4dbBRRRQAVm+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/AHm6nSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83UgGlRRRQAUUV5z4g8ZbvFuq6bJrWqaLY6NFGZ5dK0pryR3dPMLSMYZVjjVSMZUEncc4XFK47XPRqKr6fNFc6bbTW12L2GSJWS6DKRMpHD5UBTnrwAOeKsVTVnYlO6uFFFFIZzsUvmaxrC+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j2arRS+ZrGsL5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPZrCW5k9woooqRBRWXrVlPcwiaLXr3R44FZpWtUtyGHXLebE+MYPTHXms34f3OqX/hOLUNZvZ7tryWSe2a4jjSRbct+6DBFUZKgMeOrULUb0OmooooEFUJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJL9UJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJBDL9FFFAgoorI8V3WqWXhTULnQIvO1COEtCoj8w+5CZG4gZIXuQBSeg0ruxr0VwngjxDLrfiC6XStfuPEWiJaIz3dzbxxNDck5EalI4wcocspUlSACQTiu7qmrCCiiikBQ1mXyrGNvM8rN3bLu8zZnM6DGfMTrnGNxznG2TPltfqhrMvlWMbeZ5Wbu2Xd5mzOZ0GM+YnXOMbjnONsmfLa/R0GFFFFAgoprsUjZgNxAJAHevNLLxNrSaD4d8U3Ot/aI9X1CK2n0vyYlhiEzlAsbBRJvjOM7mbO1uB2Eru3p+Ow+lz02iiigQUUUUAT+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/ebqdKs3w5L53hXSpfM83fZQt5nmeZvyg53eZJuz6+Y+f7zdTpV0mwUUVBfNdrp8501IZLwRnyEuHKRl8cbmAJAz1wDQ9AJ6K890fxVrWleAvFmq+I7qHU77RLq7CmKEQxkRorKgAydoJxkknHUmpVvPEPh3UfDM2q66+rQ61cfZLuCW3hjjgkeJpFaEoisAChXDlyQRzkcta287fjsLp9/4bne0UUUhhWbpcvmajrK+Zv8u9Vdvmbtn+jwnGPMbb1zjbH1ztOfMfSrN0uXzNR1lfM3+Xequ3zN2z/R4TjHmNt65xtj652nPmOAaVFFFABRRXGaXqPiUfFS607Wruz/ALOk01ri1s7WPIj2zBAzSMAzOVPIACjoM43EWrS/rRXB6K/9a6HZ0Vxmoaj4ltfijotrLd2cOh3v2iNLWGPfLMUh375HYfLhuAq9uSTnA7OgAooooAzZ5ceKrGLzMbrK5by/Mxuw8HO3zBnGevltjP3kziTSrNnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKgAooooAKK4zxlqPiXTtf0F9Ou7O10ebUre3uFEfmT3PmMwZfmG2NAMHIyxP8AdxzpeK7TUnsbi9tPE82hW9paySFobaFxuAJ3yNKr5QAdFCnr8x4wuZKPN6/hqNK8uX+tToaKx/COo32seDdI1HVoVgvbuzimnjUEBXZQTgHkdeh6VsVUk4tpkp3VwrK8SS+Vo4bzPKzd2y7vM2ZzPGMZ8xOucY3HOcbZM+W2rWV4kl8rRw3meVm7tl3eZszmeMYz5idc4xuOc42yZ8tpewyOiiiucxCiisHxlNrkHhm6l8Nz2lrcRxu73NypcxIqE5RMYZsgABiAM5OcYKbsrsqK5nY3qK5o380/gDTtQvtfj0XzLaCa61F1iG3cqk4Mg8tSWIGSpHOAMkEReBtVvNUh1Qy6g2rafBeGOw1N40U3Ue1Sx+QKjBXLKGUAHHfrVuLTa7Ep3ipdzqqKKKkAqhoUvneHdNl8zzd9pE3meZ5m/KDnd5km7Pr5j5/vN1N+qGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83UnQZfooooEFFQXpulsZzpyQyXYQ+Ss7lIy+ONxAJAz6A1zngbUNWutO1YeJL6G7ubPU5oDLFCIo1RQpAA9Bk8kk+po7+Wo+i+46qivP/D/ijWdY+I8O+4CaDf6bPc2Nr5S5ZEljRJi2N3zhmIGcBSvGc16BTs0k+/8AwwPR2CiiikIoadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36oadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36GMKKKKBBRXIabqHiIfEy50/WLq0+wSae1xbWlqmRHiYKGaRgGZiDyBhR0Gepyzrd1B4o1FPEPiLXNIt01IQ2aDTEWzeIqm0Gdrdh8zFlz5gPYYpxV7W6/52G9L+X+Vz0OiiikIKhtpceKrWLzMbrK4by/Mxuw8PO3zBnGevltjP3kziSaobaXHiq1i8zG6yuG8vzMbsPDzt8wZxnr5bYz95M4kqHxFR3N+iiitzQKKK4zxlqPiXTtf0F9Ou7O10ebUre3uFEfmT3PmMwZfmG2NAMHIyxP93HJ1S7u33g9E321OzorhfF3iqW38XW/h2DUL/TUFn9tuJ9N01r25cFyiIiCOQKuVYszIf4QME5rpvDV/a6n4ctLuw1aTWIJEJW9lVFeTk53KioFYHgjaCCMEZzQtVcHo7GpRRRQB4l+1X/ySzTf+w1F/wCiJ69trxL9qv8A5JZpv/Yai/8ARE9e20AFFFFABXz7+zR/yTXUP+wvJ/6Jhr6Cr5y/Zxs57j4cam0WpXVqG1SRQsSxEKfs6jcNyHnLq3ORmJOMFw3yvFkVLLGm7are/wCiZvQ+M9soqjLYXMnmbdXvIt+7bsSH5M+ZjGYz93zExnP+pjznMm8lsLmTzNur3kW/dt2JD8mfMxjMZ+75iYzn/Ux5zmTf+Q+xh/z8X/k3/wAiehd9i9RVGWwuZPM26veRb923YkPyZ8zGMxn7vmJjOf8AUx5zmTeS2FzJ5m3V7yLfu27Eh+TPmYxmM/d8xMZz/qY85zJvPYw/5+L/AMm/+RC77Gb4x8NjxVpdpYSpBLbpfQzXEU+dskSnLLwDyR06fUVY8Nafqek6e+n6ndJexW8hSzuS5Mrw/wAIlyPvr93cCdwAJwSatS2FzJ5m3V7yLfu27Eh+TPmYxmM/d8xMZz/qY85zJvJbC5k8zbq95Fv3bdiQ/JnzMYzGfu+YmM5/1Mec5k39HNej7F1Y8u+0t/8AwH+vuJer5rF6iqMthcyeZt1e8i37tuxIfkz5mMZjP3fMTGc/6mPOcybyWwuZPM26veRb923YkPyZ8zGMxn7vmJjOf9THnOZN/P7GH/Pxf+Tf/IlXfYvUVRlsLmTzNur3kW/dt2JD8mfMxjMZ+75iYzn/AFMec5k3kthcyeZt1e8i37tuxIfkz5mMZjP3fMTGc/6mPOcybz2MP+fi/wDJv/kQu+xxvxX+94I/7G6w/wDZ69Iry34sWc5Xwko1G5Bm8V2SxuFizbktMQyfJgkB1UbgwxGuQSWLehy6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb/ANZ4Wio5bFKSer2v+qR5mJ+Mv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm/6Y5i/XIDT/FB8frrLafpAsxamyIGpSmTyzKH8zb9nxuwPuZxn+Kugl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9rR3DpYv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6KoS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeAGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36wNGs7q58OWMi67fN51ojCRTBJ95HwQx83djzEIJkkz5MeWfMhk0JdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN7e4F+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3oDm9d0fxLqHjC3vVstKv8ASrDElla3GoSQHz8cyyKIHDEZwozgcnqRjr4DK1vGblEjmKgyJG5dVbHIDEAke+B9BVSXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb30sD1dy/RVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb0Bfqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmOS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb8+zs7qe/wBZVddvhi7KqqmB/I3QZAAO/bjzUIBVM+VGSrbneZgb9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQF+szVpNcikhfQ7bT7pMMJoby4eA542srqj+4Klecg5GMGSXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwCh4S0GfQrG8+1mBZ7+9kvZIbXPlQM+MohOCRxktgZJJwM4reqhLp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTewL9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQFm2lx4qtYvMxusrhvL8zG7Dw87fMGcZ6+W2M/eTOJN+uQWxupPFUEUev39v5tldMI4zBx864IVhzt81MExvjyo8su6QT7sul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm/eOxpHY0qKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb6GO1vQ7DxFpT6dq0Uktq7o7LHO8LbkYMpDIQwwwB4Pauc8PeAl0Hx9quuR3V3JbXVrbw26T6pczuGTzN+8SMQw+ZduScfNjbnnoZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybxabA9VY0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf8AUx5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPlsS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb83xHYXa6cGXxFqFt5l7bqrIbdNm+4IABITOPNQAFm3eVGCsu6SOUA6Sis2XS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8A0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybwDnr7RfE/iS40231+LSbOysL6O9e4srmWWW4aJsoojaNRECcEne/AK85yOzrNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvNlb+v60Drc0qKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83Ukul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm/N0Cwu7rwrpsq+ItQPnWUbLIht5MbkfBDES7seYmCZJM+THlnzIZADpKKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrjL3w/4hsPEmtX/htdMuIdcij88X88kbW0qJ5YdQqMJFK7fkJTlfvc8dDLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTemk9xptbCeG9Fj8N+F9N0WGVpksLaO3EjDBfaoG7HbPXHatOs2XS7uTzNuu6hFv3bdkdv8mfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb6bbd2SlZWRpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybyXS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3oZnxS+ZrGsL5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPZrGSyuptY1xRr99xd7VCmBvJ3QAgAEPtx5qEAqmfKjJVt0jzWpdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN+EtzN7l+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3yIpeL9Ivdf8Oy6TYSxwpeOkV1I7lSLcn96EwDliuVGcDnrW1FEkMKRQoqRxqFVVGAoHAAqlLp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN76WAv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6oTS48RWcXmY3Wk7eX5mN2Hh52+YM4z18tsZ+8mcSEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP8AqY85zJvz7uzum8R28aa7fQ+baXTCNDBx84wQp67PNQAmN8eXHll3OJ2Bv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6xPGGhz+IvC11ptrLHHLIUdRMCY5drhvLfHOxtu09eCeD0NyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwFozC0vQNTfxkmv6nZ6ZphhsWsxDp87zG4BZSC7mOPATbhV2n7x5HQ9ZVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb2Iv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9DDWZfKsY28zys3dsu7zNmczoMZ8xOucY3HOcbZM+W1+sDXrO6FhuTXb6133cKhkMCbd85AAJ2Z/1qAAs27yowVl3SJLoS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb30Av0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX64U+CG1PxHb3+oeH/D2kpDdC7luLA+dc3cituUM5hj2jcAzcsSQBx1rq5dOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJva0dw6WL9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQF+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3gGt4cl87wrpUvmebvsoW8zzPM35Qc7vMk3Z9fMfP95up0q5vQLC7uvCumyr4i1A+dZRssiG3kxuR8EMRLux5iYJkkz5MeWfMhk0pdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN/SamlUV21ylnK1jFFNchSYo5pTGjN2BYKxUe4U/SqUul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf8AUx5zmTeAcnpnhPXrvR/E+jeI7XTLaz16S5m86yvpJ3iaVVULsaFAQME7t3oMd6s2nh/xLqepaC3ig6bDa6G3nKbGeSRr2cRmNXZWjURKAzNtBfkgZwOejl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvFpa3S34bfcH/B/Hf7zSorNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvANKs3S5fM1HWV8zf5d6q7fM3bP9HhOMeY23rnG2Prnac+Y5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvzbCwu59R11V8RaguL3aqobd/J3W4IABD7ceahAKpnyoyVbdJJMAdJRWbLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN4BpVxg07xWfiKmuNpujCyFobEgapKZPLMofzNv2fG7A+5uxn+LvXQy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybyXS7uTzNuu6hFv3bdkdv8mfMxjMR+75iYzn/Ux5zmTedU+3/DA9VY57xBpviu88Y6VqWm6do0lppTzGP7Rqksck4kj2HKi3YJg57tn2rsxnHPWs2XS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8A0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybwAnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKubvLC7bxVaxL4i1CHzbK7ZY0Nvx864IUjnb5qYJjfHlR5Zd0gn0pdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN4BpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/wCpjznMm8l0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/wBTHnOZN4Bh+NNM8Savc6ami2WlSW1jewXxku9Qkhd2jJJTasDgA8fNu/Cq3i3RfFXiG40uEWOkT6TEqz32ny6lLF584OVQuLdt8KkZwQpY4yABg9LLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeLT77/1+Adb+Vi1YPeSWMbanb29tdEHzIraczRrzxhyiE8Y/hFWKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrK8SS+Vo4bzPKzd2y7vM2ZzPGMZ8xOucY3HOcbZM+Wz5dLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTfleKLC7XR2ZfEOoW++7gUFTbpt3zkAAkJn/WoACx3eVGCsu6RJU9gL1FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJv5zIv1keJodUu9DuLTRbaznluY3hf7XdNAqKykbgVjfJyRxgfWrEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3pxTVmNOzujH0uDxTpvhWwtEs9HN5ZLHA0RvZTHPEsYXcJPKBjbdzjY4wMZ5yJPDeh3tjrGsaxqiWlvc6q8Ra1snaSOPy1Khi7Kpdmzydq8ADnGTqS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTfbd22+pKSSsi/RVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb5GX6oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdSS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/wCpjznMm/P0azurnw5YyLrt83nWiMJFMEn3kfBDHzd2PMQgmSTPkx5Z8yGR9AN+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3oC1dNcJaytZRRy3AUmOOWQxozdgWCsQPfB+lcjoPh3V2t9d07xRYad/Z2sTzTyfY9Rld8SBVMf+qTjAPzBgfbvXSS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeWX6Ac1bfD2Gw8e2Gs2dxefYrSxkg8ubVbqV/MLoVwHcgphTlScZxwcZHaVQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb3dtWDrcv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb0AadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36wLOzup7/WVXXb4YuyqqpgfyN0GQADv2481CAVTPlRkq253m0JdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN7Av0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9Ac+NP8UHx+ustp+kCzFqbIgalKZPLMofzNv2fG7A+5nGf4qXxHpHiTxJY3mhXMWlQaXdybWvo7iQziHcDgQmPbvwMbvMwPvY/hrfl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb2tEl2/4cOt/67F4DaoA7DFLVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwVi/UNtLjxVaxeZjdZXDeX5mN2Hh52+YM4z18tsZ+8mcSVpdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN8C2N1J4qgij1+/t/NsrphHGYOPnXBCsOdvmpgmN8eVHll3SCeo7lR3OvorNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJv2NDSrkfGmmeJNXudNTRbLSpLaxvYL4yXeoSQu7RkkptWBwAePm3fhW5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN51T7B0a7mFf6N4gi8U2vibSLfTZb2TThY31jc3kkcYw29WjlWJicMzDlBuBB4xitPwhoEnhvw8tlczpcXMk811cSRKVQySyNIwVSThQWwPYZ6mrUul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8l0u7k8zbruoRb923ZHb/ACZ8zGMxH7vmJjOf9THnOZN5tp/Xf8w3/ryt+RpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/wCpjznMm8l0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/wBTHnOZN4B5J+1X/wAks03/ALDUX/oievba8J/aitZoPhlZPLf3Fyr61HtjlWMLH+7uW42qD0ZV5J4jX+Lcze7UAFFFFABXz7+zR/yTXUP+wvJ/6Jhr6Cr59/Zo/wCSa6h/2F5P/RMNfJcX/wDIrfqjow/xnsNFFFfjZ6AUUUUAc/q+vanbeJLXRtG0y0vJprSS6Z7u9a3VVR1XA2xOSSXHp0rbtmuHtY2vIo4rgqDJHFIZEVu4DFVJHvgfSuV1rQf7Y+I1hJcpfpaR6XOpntLma3AcyxYUvEynkAnaT2zjir0evRWPitfDSq87i1hkhQOXlCZdXkdnbJUbUGeWJbvmvQqUYSpQVJe9a7+9+f6Ii75nfb/gI6GiiivPLCiiigDz/wCK/wB7wR/2N1h/7PXpFeb/ABX+94I/7G6w/wDZ69Ir9e4T/wCRXH1Z5eK/iBRRRX1RyhXP6Z400rWPFN1oWnefNNawmSS4EWICVfYyK5+8ytwcAgdM5BFdBXA/8JT4fb4xRxrruml/7La02i8jz532gfusZ+//ALPWiOskvX8gfwt+n5nfUUUUAFFFFAFDQpfO8O6bL5nm77SJvM8zzN+UHO7zJN2fXzHz/ebqb9UNCl87w7psvmebvtIm8zzPM35Qc7vMk3Z9fMfP95upv0PcYUUUUCOf1jxppWi69p+jT+fPfX00cYjt4t4hDkhXkbgIpIIHc9gcHHQVwvxF8QaNp8+h2t/q9hbXEer2s7wzXKI6xhjlyCchffpXbW9xBeWsVzaTRzwTIHjliYMrqRkEEcEEd6FrG/n/AJA9JW8v8ySiiigAqhp0vmX2qr5m/wAu7Vdvmbtn7iI4x5jbeucbY+udpz5j36oadL5l9qq+Zv8ALu1Xb5m7Z+4iOMeY23rnG2Prnac+Y4Mv0UUUCCs7VtVl01YRbaVf6nLKSBFZqnygDks0jIg7cFsnPAODjRrmPG/jO18I6dArz2iahfuYrJLycQxbh1d3JAVFBye54A5IpDSuzU8P69aeJdGj1KwEqRuzRvFMm2SKRWKujDswIIPJHoSK0657wRHpcHheGDRtXt9ZRHdri9t5lkEs7sXkYlSQCWYnHYEV0NVLRiCiiikBDbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEm/WBbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEm/W8PhNY7BRRRVDK2oXv9n6fNdfZ7i6Ma5EFtHvkkPQKo9Se5IA6kgAmszRfFEer6pd6Zc6Zf6VqFrGkz216IiWjckK6tE7qRlWH3sgjkVd1zULXTNFuLm/vm0+ALsa8VQfI3HaH5VlABIOWBUdW4BrifBlxbzfEPUZNJ1lPFFrPp8ZuNZ3JI0MiPhLffEFhxtZm2qoYHJYnIoWsrf1sD0jf+tz0WiiigArN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPltpVm69L5WnRN5nlZvbVd3mbM5uIxjPmJ1zjG45zjbJny2ANKiiigAooooA5rQ/GMmvyo1l4b1dbF5pIRfyvaiIFGZGO0TGTG5SPuZ9q6WvKPtXh621nRl+Gut3Fxfy6oDd6XDqc1xGsDsTcGW3d2EIGSc7VIbA74r1ehfDf8AroD+KwUUUUAFZvhyXzvCulS+Z5u+yhbzPM8zflBzu8yTdn18x8/3m6nSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83UgGlRRRQAVzOr+N4dM1C/tLXRdV1ZtNhWa+exSLbbhlLAHzJELttBO1Ax6dyBXTV434zGmX3jDxGmseJYvCU0VrFBFCZzF/bEW0OGkUsPNTdvjxFtf76l8EKJbaKikz12xvbfUtPt76yk823uYllicAjcjDIOD7Gp6yfCtxcXfhDSbi909dNuJLOJpLNUKCBtgygU8qB0wenStatJK0mjOLbimwoooqSjnYpfM1jWF8zf5d2q7fM3bP3ERxjzG29c42x9c7TnzHs1Wil8zWNYXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMezWEtzJ7hRRRUiOf0zxppWseKbrQtO8+aa1hMklwIsQEq+xkVz95lbg4BA6ZyCKbf+MI9MvNt5o2qR2H2lLY6kY4xCHZgo+Uv5m3cQu7ZjnOcc1h/wDCU+H2+MUca67ppf8AstrTaLyPPnfaB+6xn7/+z1qh411bTr55PsHiT+0NRtbyMw+GJvLxLLG4GDEqrOeRvBLFOAxBUU4q/K+/+dvyG95L+trnptFA6c8UUhBVCaXHiKzi8zG60nby/Mxuw8PO3zBnGevltjP3kziS/VCaXHiKzi8zG60nby/Mxuw8PO3zBnGevltjP3kziQQy/RRRQIK53X/GEfh37RNdaPqk1haKr3V/BEnlQA9ThnDuAOSUVsfUEDoq888deKtHvtUbwXc61YaZHKitq1xdXSQmOA8+Um4jc7jjI+6pJPJXIt0ilbqdD4n8b6P4Us4J79prh7nDQwWkfmSOmVBfHACDcMsSByO5APRVwvxN13RbX4dXMT6rYxG8hRrRGuUHnoHQ5QZ+YYwcjNdlYajZarZJeaXeQXtrJnZPbyrIjYODhlJB5BFO2hOvUsUUUUgKGsy+VYxt5nlZu7Zd3mbM5nQYz5idc4xuOc42yZ8tr9UNZl8qxjbzPKzd2y7vM2ZzOgxnzE65xjcc5xtkz5bX6OgwooooEZ2rarLpqwi20q+1OaUkCKzVBtAHLM0jIg7cFsnPAODhmj+ILPWdFbUohJaxRtIk8d0AjwPGSrq/JAKkHJBI9DiqninVtOsIbe31HxK3hxpmLR3WYUV9vVN8yMgPzA44Y4OOAa47StM1bWPAUmmaFFY3Fh/a0ge4uJ5YP7UtN29n37JCTIxwzAbWXdtwCMC1v/X9fmVZWX9d/wCux2XhTxdY+MLO7udMguoY7W5NuftUYQv8quGUZJ2lXUjODz0Fb1cF8N31I6x4uW/srO2QawSfs900u1/Ih+UAxrlcYO7g5JG3jJ72qklpbsvyJ6tebCiiipAn8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83U6VZvhyXzvCulS+Z5u+yhbzPM8zflBzu8yTdn18x8/3m6nSrpNgrO8Qa1b+HPD97q95HNLBZxGV0gALsB2GSBn6kVo1k+KF0d/DF9H4mYLpMkey6ZnZAqEgZLLgqORlsjHUkAUnsNbjLLX7me2urjUPD2p6VFbRGXddvbN5gAJIXypn5474qDw74pn8RRW9wnhzVbCyuoBPDd3b2uxlIBXiOZnBIPdfriuW0G+04+KtSi0HWLrWfCa6Sz30rX8t/HDOG4WOVmdixj3FkVjjCnAJ5h0C40e38aaFZ/DjW5tT0vyJU1K2j1SS+t7aEJ+6OXd/KbeAoUFcjdwdvFLV/157/AHaeRLul/Xlt9/3np9FFFIYVm6XL5mo6yvmb/LvVXb5m7Z/o8JxjzG29c42x9c7TnzH0qzdLl8zUdZXzN/l3qrt8zds/0eE4x5jbeucbY+udpz5jgGlRRRQAVyVt8Q7K5ms5BpOqR6ZfXf2O21V44/IlkJKr8ok81VZlIDMgBJHOCDXWOSqMVXcQMgZ614Po01mJ9D1Gy1eG51Z9X8yXwXvZksHkkCylIN3mRvEN7lnBQHeVRNwwR1ml/W/9enUH8Lf9bHpl18RdOtZrmT+ztSl0uzuvsdzq8ccf2aGTcFYHLiQqrEAsqFQc88HHW9a8Z8WWijStf8I+GfF2l3r6vdy7dFjtxPewyytukUusvyRhtzEvH8qkjOcGvZEXZGq+gAoXwp/1sD+Ky/rsOooooAzZ5ceKrGLzMbrK5by/Mxuw8HO3zBnGevltjP3kziTSrNnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKgAqjrOs2OgaXLqOqz+Tbx4BIUszMThVVQCWYkgAAEkmr1VdS1Sw0exe91e+trC1QgNPdTLEiknAyzEAZPFJjKvhrxBbeKfDlprNlBcW8F0GKxXSBJEwxUhgCcHIPeqHh3xvpfijXNW0zS47ktpZTfcSIBFOGLrujOcsA0bDJABxxkc1x/g++l8Q/Bp9L8Fatpsurr5scn+mYNukk75JKK5Rim4qSp5wcECofDVv4jsfHnimw0vSdF0+eHRbKK2RdQllhhZVmEP/LBSwzndwMY43Z4fd2F9n7vzR21p430u+8dXHhW1juZLu3t2mkuAg8jKlA0YbOS48xMgDAzjOQRXR15H4d07XND+KugaddabpqGPQ7rzpo9TkmabdPE0kzE26ZkLnO3gHcTuGMH1ynb3U/X82hfaa/rZBWV4kl8rRw3meVm7tl3eZszmeMYz5idc4xuOc42yZ8ttWsrxJL5WjhvM8rN3bLu8zZnM8YxnzE65xjcc5xtkz5bS9hkdFFFc5iMmlWCCSVw5WNSxCIXYgDPCjJJ9hzWFpni6K+11dHvdK1HSb2W3NzBHfLFieMEBipjdxkErlTg8jitu7uoLGzmu7uVYbeCNpJZGPCKoySfoBXA+EvEuj+LfFra62s6eZjA9tpWmR3aPOsGQzyugJId9oO3GVVRnknDjq/6/rf8Lj+zf+v6/wCAdDH4wj/ta0s73RtUsIr6VobS7uo41jmcAsBtDmRCVViN6L07Hii/8YR6ZebbzRtUjsPtKWx1IxxiEOzBR8pfzNu4hd2zHOc45rlL3VdO1PxVod3o3iQeIrkagCNIlMZNjG4KvJ5cao6NGpIzNuxkjhiDR411bTr55PsHiT+0NRtbyMw+GJvLxLLG4GDEqrOeRvBLFOAxBUU4q7X9dhvr/Xf+tfM9NooHTniipJCqGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdSdBl+iiigRzt/wCMI9MvNt5o2qR2H2lLY6kY4xCHZgo+Uv5m3cQu7ZjnOcc0a/4sm8PQ3lzc+HNVuLGzjMsl5BJa+XtC5JAedX46Y25yOM1ynjXVtOvnk+weJP7Q1G1vIzD4Ym8vEssbgYMSqs55G8EsU4DEFRW74wb+29c0bwomClzJ9u1Bc9LaEghT/vybF+gamldL+u3/AAX6FOyev9f1t6mnc+IruK3t57fwzq13FNAs5eKS1TysjO1hJMp3DvjI96t+Hdch8SeHrPWLWC4t4LyPzI47gKHC54JCkjnr16Gsbx/dSTaTbeHrKTZea/OLNSp5SHGZ3/CMN+JFdPbW8VpaxW1sgjhhQRxoOiqBgD8qNLN/1/W34k9v6/rqSUUUUgKGnS+Zfaqvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9+qGnS+Zfaqvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9+hjCsnV/EEWlXVvZw2d1qV/chnjs7NUL7F+85LsqKoyBlmGSQBk1rV5z4oj0y1+KEd34o1OfStMudIEMFwuoSWUbTJKzMhkRl52uCFJweeDjg6pf1sNbN/1udRrHi6y8PeHV1XW7a7tHcEJYbFluHcAnYqxsyk4UnhsAckjBp954qsbPw9Y6s0VxINQ8oWlrGgM0zyDKoBnG7HXJAGCScDNcvZa2LD4Q3EvijVRD58d3DZT6nKIpbiLMghzvwS5jCn1PU8k1SbVtPm8KeBdZtdQguNP0m6gTUJreVZEts2rR5kIOFCs65z0zk1VtWn3X43Ftb/t78NvvO40XxHDrF3d2UlndadqFnsM1neBN4RxlXBRmVlOCMhjggg4NbFcZ4fu7fXviNq2taRKlzpkenW9kt3CwaKeUPI7BGHDbQ6gkHGTjqOOzpPZf1/XcT3a/r+ugVDbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEk1Q20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxI4fEVHc36KKK3NDK1/xBa+HrOGW5inuZrmdbe1tbZQ0txK3RVBIHQEkkgAAkkVmJ4+01NK1a71K0vtNm0cqLuxuI1add4Hl7RGzK4fOAVYjORxg0eO7axbTbC/vdfs9An069S4tL2+K+SJMMpR1Zk3BkZxgMD3B4rz+4kvLjSfG3iO5ay16wv4bOxF1HZyR2rxo7iWZEWRnaOMSbt6vyUYhgBwuj/rt/Wo9Lr+uv+R6LY+MDd6hcadcaBqtjqUVp9sis7nyN1zHnadjpK0eQ2AQzLjcO3NR2njR5fE9loV94b1fTbm9ilmie5a1dAkeNxPlTuRyyjpyT9a5TwJ9ktfiA8Oj+Ix4xtptMHn6rJOLmWyMZRUhMqHYFfLttwHJUsxbqN7wYR4g8R634tJDwTSf2bprdR9nhJDOP9+Xefoq1XVfP9V/l+LJ6P5fp/wAE7SiiikM8S/ar/wCSWab/ANhqL/0RPXtteJftV/8AJLNN/wCw1F/6Inr22gAooooAK+af2e/E+gaL8P7631nXNN0+dtUkkWK7u44mKmKIbgGIOMgjPsa+lq+af2e/DGga18P7641nQ9N1CddUkjWW7tI5WCiKI7QWBOMknHua+X4p9l/Zr9te11tv+JvQvz6Hqv8Awn/g7/obND/8GUP/AMVR/wAJ/wCDv+hs0P8A8GUP/wAVR/wgHg7/AKFPQ/8AwWw//E0f8IB4O/6FPQ//AAWw/wDxNflH/Cd/f/8AJTu98P8AhP8Awd/0Nmh/+DKH/wCKo/4T/wAHf9DZof8A4Mof/iqP+EA8Hf8AQp6H/wCC2H/4mj/hAPB3/Qp6H/4LYf8A4mj/AITv7/8A5KHvh/wn/g7/AKGzQ/8AwZQ//FVQuPEnw+utQS+n8SaG11G0bJKNVjVlKbtuMPxw7gjuGIORxV//AIQDwd/0Keh/+C2H/wCJo/4QDwd/0Keh/wDgth/+JqoywEfhc19wWk+wf8J/4O/6GzQ//BlD/wDFUf8ACf8Ag7/obND/APBlD/8AFUf8IB4O/wChT0P/AMFsP/xNH/CAeDv+hT0P/wAFsP8A8TU/8J39/wD8lD3w/wCE/wDB3/Q2aH/4Mof/AIqj/hP/AAd/0Nmh/wDgyh/+Ko/4QDwd/wBCnof/AILYf/iaP+EA8Hf9Cnof/gth/wDiaP8AhO/v/wDkoe+cP8TPF/hq/bwf9h8Q6Vc/Z/FFlPN5N7G/lRrv3O2G4UZGSeBXf/8ACwfBn/Q3aF/4Mof/AIquA+JnhDw1YN4P+w+HtKtvtHiiygm8myjTzY237kbC8qcDIPBrv/8AhX3gz/oUdC/8FsP/AMTX6nwz7H+zl7K9rve1/wADzsTfn1D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mvpNDm0D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mjQNA/wCFg+DP+hu0L/wZQ/8AxVH/AAsHwZ/0N2hf+DKH/wCKo/4V94M/6FHQv/BbD/8AE0f8K+8Gf9CjoX/gth/+Jo0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaNA0KmlePfCcWjWUd34s0UTrbxrKJNUiZgwUZyTNISc9y7/wC83U2/+Fg+DP8AobtC/wDBlD/8VWfoPgLwZL4c02QeFdBlD2kTb/sEMm7KDnduk3Z9fMfP95up0P8AhX3gz/oUdC/8FsP/AMTTdrhoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0tA0D/hYPgz/AKG7Qv8AwZQ//FUf8LB8Gf8AQ3aF/wCDKH/4qj/hX3gz/oUdC/8ABbD/APE0f8K+8Gf9CjoX/gth/wDiaNA0D/hYPgz/AKG7Qv8AwZQ//FUf8LB8Gf8AQ3aF/wCDKH/4qj/hX3gz/oUdC/8ABbD/APE0f8K+8Gf9CjoX/gth/wDiaNA0D/hYPgz/AKG7Qv8AwZQ//FVUs/HvhNLq/M3izRQj3AaLfqkRBXykHy/vmwNwbgCPnPynO97f/CvvBn/Qo6F/4LYf/iaz9O8BeDHv9VUeFdBfZdqpH2CFtn7iI4xubb1zjbH1ztOd7vQNDQ/4WD4M/wChu0L/AMGUP/xVH/CwfBn/AEN2hf8Agyh/+Ko/4V94M/6FHQv/AAWw/wDxNH/CvvBn/Qo6F/4LYf8A4mloGgf8LB8Gf9DdoX/gyh/+Ko/4WD4M/wChu0L/AMGUP/xVH/CvvBn/AEKOhf8Agth/+Jo/4V94M/6FHQv/AAWw/wDxNGgaB/wsHwZ/0N2hf+DKH/4qj/hYPgz/AKG7Qv8AwZQ//FUf8K+8Gf8AQo6F/wCC2H/4mj/hX3gz/oUdC/8ABbD/APE0aBoH/CwfBn/Q3aF/4Mof/iqP+Fg+DP8AobtC/wDBlD/8VR/wr7wZ/wBCjoX/AILYf/iaP+FfeDP+hR0L/wAFsP8A8TRoGgy28f8AhFdfgl/4S7RRbrazK7f2rEE3FotuR5wBOA2Pkbv8yZIk2f8AhY/gj/ocvD//AINIP/iqwoPAHgo+KrSJ/CmgndZXDCM2EPOHh527hnGevltjP3kziTd/4Vx4I/6E3w//AOCuD/4mto7Gi2D/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mqGH/Cx/BH/AEOXh/8A8GkH/wAVR/wsfwR/0OXh/wD8GkH/AMVR/wAK48Ef9Cb4f/8ABXB/8TR/wrjwR/0Jvh//AMFcH/xNAB/wsfwR/wBDl4f/APBpB/8AFUf8LH8Ef9Dl4f8A/BpB/wDFUf8ACuPBH/Qm+H//AAVwf/E0f8K48Ef9Cb4f/wDBXB/8TQAf8LH8Ef8AQ5eH/wDwaQf/ABVUdW+Ifg+WyjW18YaGzi6t2Ij1aEHaJkLdJk42g55ORn5ZPuNe/wCFceCP+hN8P/8Agrg/+JrN174e+CItOib/AIRLw/Fm9tV3f2fAmc3EYxnKdc4xuOc42yZ8tgDS/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqP+Fj+CP+hy8P/wDg0g/+Ko/4Vx4I/wChN8P/APgrg/8AiaP+FceCP+hN8P8A/grg/wDiaAD/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqo6J8Q/B8OgafFeeMNDW4S1jWVZdWhLhgozuJmkJOeuXf/ebqb3/CuPBH/Qm+H/8AwVwf/E1m+HPh74Im8K6VL/wiXh+XfZQt5n9nwSb8oOd2ZN2fXzHz/ebqQDS/4WP4I/6HLw//AODSD/4qj/hY/gj/AKHLw/8A+DSD/wCKo/4Vx4I/6E3w/wD+CuD/AOJo/wCFceCP+hN8P/8Agrg/+JoAP+Fj+CP+hy8P/wDg0g/+Ko/4WP4I/wChy8P/APg0g/8AiqP+FceCP+hN8P8A/grg/wDiaP8AhXHgj/oTfD//AIK4P/iaAD/hY/gj/ocvD/8A4NIP/iqP+Fj+CP8AocvD/wD4NIP/AIqj/hXHgj/oTfD/AP4K4P8A4mj/AIVx4I/6E3w//wCCuD/4mgA/4WP4I/6HLw//AODSD/4qj/hY/gj/AKHLw/8A+DSD/wCKo/4Vx4I/6E3w/wD+CuD/AOJo/wCFceCP+hN8P/8Agrg/+JoAw18f+EhqepPJ4t0Xy5LhWhLarEQV8qMHb++bA3BuAI+c/Kc73m/4WD4M/wChu0L/AMGUP/xVVYPAPgs6xrCL4U0EiO7VdosIW2fuIjjG5tvXONsfXO058x7X/CvvBn/Qo6F/4LYf/iaxla5m7XD/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mp0FoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0aBoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0aBoH/CwfBn/AEN2hf8Agyh/+KqpJ498JnWbaRfFmi+QtvKrkapFtDFo9uR5wBOA2Dsbv8yZIkt/8K+8Gf8AQo6F/wCC2H/4ms+bwF4MHiOzj/4RXQQWtJ22fYIRuw8PO3cM4z18tsZ+8mcSPQNDQ/4WD4M/6G7Qv/BlD/8AFUf8LB8Gf9DdoX/gyh/+Ko/4V94M/wChR0L/AMFsP/xNH/CvvBn/AEKOhf8Agth/+JpaBoH/AAsHwZ/0N2hf+DKH/wCKo/4WD4M/6G7Qv/BlD/8AFUf8K+8Gf9CjoX/gth/+Jo/4V94M/wChR0L/AMFsP/xNGgaB/wALB8Gf9DdoX/gyh/8AiqP+Fg+DP+hu0L/wZQ//ABVH/CvvBn/Qo6F/4LYf/iaP+FfeDP8AoUdC/wDBbD/8TRoGgf8ACwfBn/Q3aF/4Mof/AIqj/hYPgz/obtC/8GUP/wAVR/wr7wZ/0KOhf+C2H/4mj/hX3gz/AKFHQv8AwWw//E0aBoVNS8e+E5LVBbeLNFLi4hY+XqkQO0SqW6TJxtByMnIz8sn3Gt/8LB8Gf9DdoX/gyh/+KrP1nwF4MisI2PhXQY83dsufsEKZzOgxncnXOMbjnONsmdjaH/CvvBn/AEKOhf8Agth/+Jp6WDQP+Fg+DP8AobtC/wDBlD/8VR/wsHwZ/wBDdoX/AIMof/iqP+FfeDP+hR0L/wAFsP8A8TR/wr7wZ/0KOhf+C2H/AOJpaBoH/CwfBn/Q3aF/4Mof/iqP+Fg+DP8AobtC/wDBlD/8VR/wr7wZ/wBCjoX/AILYf/iaP+FfeDP+hR0L/wAFsP8A8TRoGgf8LB8Gf9DdoX/gyh/+Ko/4WD4M/wChu0L/AMGUP/xVH/CvvBn/AEKOhf8Agth/+Jo/4V94M/6FHQv/AAWw/wDxNGgaB/wsHwZ/0N2hf+DKH/4qj/hYPgz/AKG7Qv8AwZQ//FUf8K+8Gf8AQo6F/wCC2H/4mj/hX3gz/oUdC/8ABbD/APE0aBoWNE+Ifg+HQNPivPGGhrcJaxrKsurQlwwUZ3EzSEnPXLv/ALzdTe/4WP4I/wChy8P/APg0g/8AiqzfDnw98ETeFdKl/wCES8Py77KFvM/s+CTflBzuzJuz6+Y+f7zdTpf8K48Ef9Cb4f8A/BXB/wDE10Gof8LH8Ef9Dl4f/wDBpB/8VR/wsfwR/wBDl4f/APBpB/8AFUf8K48Ef9Cb4f8A/BXB/wDE0f8ACuPBH/Qm+H//AAVwf/E0AH/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAB/wsfwR/0OXh//AMGkH/xVH/Cx/BH/AEOXh/8A8GkH/wAVR/wrjwR/0Jvh/wD8FcH/AMTR/wAK48Ef9Cb4f/8ABXB/8TQAf8LH8Ef9Dl4f/wDBpB/8VVGw+Ifg9L3U2n8YaGEkulaEvq0JBXyYx8uZmwNwboI+c/Kfvve/4Vx4I/6E3w//AOCuD/4ms3S/h74Ik1HWV/4RLw+/l3qrt/s+Btn+jwnGMtt65xtj652nPmOAaX/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAB/wsfwR/0OXh//AMGkH/xVH/Cx/BH/AEOXh/8A8GkH/wAVR/wrjwR/0Jvh/wD8FcH/AMTR/wAK48Ef9Cb4f/8ABXB/8TQAf8LH8Ef9Dl4f/wDBpB/8VR/wsfwR/wBDl4f/APBpB/8AFUf8K48Ef9Cb4f8A/BXB/wDE0f8ACuPBH/Qm+H//AAVwf/E0AH/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAFGX4h+Dzr9pKvjDQ/s62s6uw1aHYGLRbcjzgM4DY+Ruh+ZMkSXv+Fj+CP+hy8P/wDg0g/+KrNn+HvggeKrGL/hEvD43WVy3l/2fAN2Hg525GcZ6+W2M/eTOJNL/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqP+Fj+CP+hy8P/wDg0g/+Ko/4Vx4I/wChN8P/APgrg/8AiaP+FceCP+hN8P8A/grg/wDiaAD/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+KrO1z4heD5tMCWnjDQ2k+0QMRFqsIO0SoW6TJxtByMnIz8sn3G0f+FceCP+hN8P/wDgrg/+JrK8R/D7wRDo6uPCXh+I/a7Vd39nwJ1njGM7o+ucY3HOcbZM+Ww9gE/4WD4M/wChu0L/AMGUP/xVH/CwfBn/AEN2hf8Agyh/+Ko/4V94M/6FHQv/AAWw/wDxNH/CvvBn/Qo6F/4LYf8A4mufQy0D/hYPgz/obtC/8GUP/wAVR/wsHwZ/0N2hf+DKH/4qj/hX3gz/AKFHQv8AwWw//E0f8K+8Gf8AQo6F/wCC2H/4mjQNA/4WD4M/6G7Qv/BlD/8AFUf8LB8Gf9DdoX/gyh/+Ko/4V94M/wChR0L/AMFsP/xNH/CvvBn/AEKOhf8Agth/+Jo0DQP+Fg+DP+hu0L/wZQ//ABVH/CwfBn/Q3aF/4Mof/iqP+FfeDP8AoUdC/wDBbD/8TR/wr7wZ/wBCjoX/AILYf/iaNA0D/hYPgz/obtC/8GUP/wAVVTSvHvhOLRrKO78WaKJ1t41lEmqRMwYKM5JmkJOe5d/95upt/wDCvvBn/Qo6F/4LYf8A4ms/QfAXgyXw5psg8K6DKHtIm3/YIZN2UHO7dJuz6+Y+f7zdS9LBoaH/AAsHwZ/0N2hf+DKH/wCKo/4WD4M/6G7Qv/BlD/8AFUf8K+8Gf9CjoX/gth/+Jo/4V94M/wChR0L/AMFsP/xNLQNA/wCFg+DP+hu0L/wZQ/8AxVH/AAsHwZ/0N2hf+DKH/wCKo/4V94M/6FHQv/BbD/8AE0f8K+8Gf9CjoX/gth/+Jo0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaNA0D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mjQNCpZ+PfCaXV+ZvFmihHuA0W/VIiCvlIPl/fNgbg3AEfOflOd72/wDhYPgz/obtC/8ABlD/APFVn6d4C8GPf6qo8K6C+y7VSPsELbP3ERxjc23rnG2Prnac730P+FfeDP8AoUdC/wDBbD/8TT0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaWgaB/wsHwZ/0N2hf+DKH/AOKo/wCFg+DP+hu0L/wZQ/8AxVH/AAr7wZ/0KOhf+C2H/wCJo/4V94M/6FHQv/BbD/8AE0aBoH/CwfBn/Q3aF/4Mof8A4qj/AIWD4M/6G7Qv/BlD/wDFUf8ACvvBn/Qo6F/4LYf/AImj/hX3gz/oUdC/8FsP/wATRoGgf8LB8Gf9DdoX/gyh/wDiqZbeP/CK6/BL/wAJdoot1tZldv7ViCbi0W3I84AnAbHyN3+ZMkSP/wCFfeDP+hR0L/wWw/8AxNQQeAPBR8VWkT+FNBO6yuGEZsIecPDzt3DOM9fLbGfvJnElRtcatc3f+Fj+CP8AocvD/wD4NIP/AIqj/hY/gj/ocvD/AP4NIP8A4qj/AIVx4I/6E3w//wCCuD/4mj/hXHgj/oTfD/8A4K4P/ia2NA/4WP4I/wChy8P/APg0g/8AiqP+Fj+CP+hy8P8A/g0g/wDiqP8AhXHgj/oTfD//AIK4P/iaP+FceCP+hN8P/wDgrg/+JoAP+Fj+CP8AocvD/wD4NIP/AIqj/hY/gj/ocvD/AP4NIP8A4qj/AIVx4I/6E3w//wCCuD/4mj/hXHgj/oTfD/8A4K4P/iaAD/hY/gj/AKHLw/8A+DSD/wCKo/4WP4I/6HLw/wD+DSD/AOKo/wCFceCP+hN8P/8Agrg/+Jo/4Vx4I/6E3w//AOCuD/4mgDx/9pXxZ4c174bafa6Hr+l6lcJq0cjRWd7HM6qIZgWIUk4yQM+4r6Er57/aV8J+HNB+G2n3Wh6Bpem3D6tHG0tnZRwuymGYlSVAOMgHHsK+hKACiiigAr59/Zo/5JrqH/YXk/8ARMNfQVfPv7NH/JNdQ/7C8n/omGvkuL/+RW/VHRh/jPWb+9j07Tbm9nDNFbQvM4QZYhQScZ78V5/F8cPDkrW+3S9fC3kW+yf+zmIvHAGY4sH5mBOD/Dkdehru9as5NR0HULKAqstzbSQoXOFBZSBnHbmuLsPAWqWs3w+eSe0I8M280V5tdv3heERjy/l5GR3xxX5jgY4J05PE7621ttFvs92kvmds+bTl8/0t+pbi+K/h2TwjJr7pfRLHdmxNjJb4ujc/88QgP3vbP1xRafFfw9Pour399FqGlSaOqtd2OoWxiuEDfc+TJzuJAHPcZxWFd/DDWZbLU5rS+sYtS/4Sd9e04vvaIjAASXgEd84zTLz4Xa94k03xHd+KdR09Nc1aKCKD7Aj/AGe3WFg6/e+Y7mHOc47Z6V6Kw+UPVzsrrrqleOlraqzevdfJzeadv63f3aWKMPxGnvfiTqOoRQ6xYWVj4Wmum0vUo2h/epICH8vJU5XGGHY1VvvEXiPRfAvgGJfFLaVPrjtJfanfKk+wOA4z5vAA3YxkYwK2G8A+MdU1fVNX8T3ukSXF54dn0pItOWRQjMcofnHIPJJ45OAO9VtG8Mv4+8F/Dy7K2c1po3yahb3gLeZsURldpUgnKHIOK9BTwMeWa5XGNk/tK/JOy1Wuvdauxn7/AF8/yj/wT0Pwg1w/huF7rxJB4mdncjUreKONJBuIwBGSvGMcHtTfF3jDTfBWmW9/rCXDQXF0lqDbx7yrMCQSM5x8p6ZPtXJeLtWl8EeKNBtfD1vb2OmPaTLNGqbbW1Vrm3BneJCoON7DjGC5J4zUd1b678TdLjmjSxtrPTfFCz2UrF1+02kBKl/4ssWJxwoOPxPjQwUZzjiqztSk32XVq1krJ+SXysac3LePVf5XRPqfjWLxp4B8VRaEusaLq+k2xleG4Q21zEwUyIflJOG2kYzyO3Ndn4W1Y694R0nVXXa95ZxTMPRmUEj864fxXpl14Xi+Ivii5mt/s2rafBDaIrEuHWJosMCMcs4xgmuz8G6ZLovgfRdNuf8AXWtjFFJ7MEGf1qMZDDrCqVHZyVuu8IuSv5OyHrzpPz/S36nM/Ff73gj/ALG6w/8AZ69Irzf4r/e8Ef8AY3WH/s9ekV+h8J/8iuPqzz8V/ECiiivqjlCuE0jxjr918WbjwzqumWljZDTGvoAshknOJQgLsDtGeTtAOOOa7uvJoYvHTfGlfEcvgjy7BrQaWz/2tAdsXnbvPx1PHOzGfenDWaT8/wAv8x/Zf9df8j1miiikIKKKKAKGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdTfoe4wooooEcJ448Y6/4b8QaFb2GmWn9mahqcFjNdXMhZ38w8iNFIxgA/M3fsetd3Xl/xStPGGsaxosHh7wn/AGjZ6VqEGpfav7Shi81kzmLY+CvX73P0r0fTprm50y2nv7T7FdSRK01t5gk8lyMlNw4bB4yOtNfB83+n/BHLden9foWaKKKQgqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPfqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmODL9FFFAgrjPHHi3V9J1jRfD3hW0s59Z1hpDE9+XEEMca7mZtnJ9BiuzrgPH+ha+fFnh3xZ4W0+LVbnSPOim0951gM0cq4yHbgY680K11fb+v1KWz7mj8P/FmoeJbTU7bX7O3tNX0i8azu0tmJicgAh1zyAc9DnpXXVxXw38PavpUWtar4khhttS1y/a7e1hk8wW64AVCw4JHOSOK7Wm+novvtr+JPV28wooopAQ20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1gW0uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1vD4TWOwUUUVQytqM91a6bPNYWZvrlFzFbiRY/MbsNzcAe/8APpXI/DDxfrPi7TdafxFbWVvd6Zq01hsst+zCBe7EknLHnjPoK6vV7m+s9HurjSdP/tK9jjLQ2fnLD5zdl3twv1Neb/CGw8Y6Nqev2/ifwn/ZVpqmoT6ot1/aUM2x5CgEOxMk8Anfx06UR+J+n43X6XB/CvX9H/wD1SiiigArN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPltpVm69L5WnRN5nlZvbVd3mbM5uIxjPmJ1zjG45zjbJny2ANKiiigAooooA8/wBG8beIrv4w3PhbV9Ks7CwGltf24WQyXBxKIwXYHYM8naAccfNXoFePQReP2+OS+JpvAfl6c1mNJaT+2IDti8/d9ox1Py87MZ969hoXwRf9bv8ASwP4n/XT/MKKKKACs3w5L53hXSpfM83fZQt5nmeZvyg53eZJuz6+Y+f7zdTpVm+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/AHm6kA0qKKKACvK/E3xC8YP4n8Qaf4F0vSZ7bwxAkuoyak0gedmQvshCYAIUHlu/6+qV47r3hvxzoXjHxdP4S0O11iy8WQRr58l6kH2CQRmMsyty4+YnC1Mr9Ozt69P1KVuvl93U9M8K6/F4p8J6ZrkERhS/tkn8otu2Ejlc98HIzWtWH4K8Pt4V8D6RockiyyWNqkUjrnDOB8xGe2c1uVpO3M7bGcL8qvuFFFFSUc7FL5msawvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9mq0UvmaxrC+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j2awluZPcKKKKkRzXj3XdZ8O+FbvUdA06C8mt4ZJne5l2xQqi7iSB8zE4wAMe5FX/CuqT654Q0jVbtY0nvbKK4kWIEKGdAxABJOMn1NY/xKGvXPg670zw1oX9sTajDJbSf6ZHB9nVkI3/Pw3J6ZFP+G6a3a+B7HT/Emi/2Rc6fFHaIn2pJ/OREUCTKcLk5+XnGOtOPwy+X63/Qctl8/wBP+CdXRRRSEFUJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJL9UJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJBDL9FFFAgqtqE9zbafNNY2hvbhVzHbiQJ5jem48Ae/8APpVmqerXN5aaTc3Gl2H9o3kcZaG084Rec3Zd7cL9TSew1ucz8N/Fer+KtP1htft7O3utO1WWx2We7ZhAvdiSTknnjPoK7KvMvhTZeLdI1LXIPEfhf+zLXUr+fU1uf7Qim2O5UCHamSeATu46dK9Nq5dPRflr+IPd27sKKKKkRQ1mXyrGNvM8rN3bLu8zZnM6DGfMTrnGNxznG2TPltfqhrMvlWMbeZ5Wbu2Xd5mzOZ0GM+YnXOMbjnONsmfLa/R0GFFFFAhskixRNI5wqKWY+gFeRWXxV8Uy2+meJrrSNLTwjqmoCyhCySfbIgzlFkcn5MZBOAP8a9buIVuLWWB/uyIUPGeCMV4npvgfxw+haN4F1DSbWHRtK1JbmTWheK32iJZC4VYh8ysd3U+n404W5tfL7r6/gN/B9/5afie4UUUUhBRRRQBP4cl87wrpUvmebvsoW8zzPM35Qc7vMk3Z9fMfP95up0qzfDkvneFdKl8zzd9lC3meZ5m/KDnd5km7Pr5j5/vN1OlXSbBRRRQB5/498beIvC/iPw/bafpVn/Zeo6pb2E13dSFnfzTyI0UjbgA/Mx6/wkc16BXlHxas/Guta1ocHhvwf/aVlpGo2+p/a/7Thh85kzmLY+CvUfNz9K9O02e6utLtZ9Rs/sN3LCrz2vmiTyXIyybxw2DxkdcUR+D5v7tP+CEviXp/n/wCzRRRQAVm6XL5mo6yvmb/AC71V2+Zu2f6PCcY8xtvXONsfXO058x9Ks3S5fM1HWV8zf5d6q7fM3bP9HhOMeY23rnG2Prnac+Y4BpUUUUAFct8QvEGt+GvCN5qXh3Tbe9nt4ZJpHupdsUKIu4kgfM5OMBRj3Irqa434or4huvBN5pfhbw//bU+pwy2sv8Apsdv9nVkI8z5+G5PQEVE78rtuXC3Mr7G14S1afXvBejaveJGlxf2MNxKsQIQM6BiACScZPcmtiuR+GCa9a+A9P03xPof9jXWmwx2aR/a47jz0SNQJcpwuTn5cnGOtddW1S3O7bGUb8quFFFFQUZs8uPFVjF5mN1lct5fmY3YeDnb5gzjPXy2xn7yZxJpVmzy48VWMXmY3WVy3l+Zjdh4OdvmDOM9fLbGfvJnEmlQAUUUUAc34/8AFyeBvBF/rzWxuntwqwwA48yR2CqCewyRn2rnfCvjPxcnjxPCvj+w0mK5vLA31ncaU8mwhWAaNg+TuGc5HHHfOa1vip4TvPGnw7v9I0uSNL5jHNbmX7pdHDAE9s4xn3rA8L6P4w1/4l2/i3xlodv4fi07TWsre0S8S5eV3YFpCycBcZGDz9etEfi1/pW0+dwl8Kt/Wq/Q9PooooAKyvEkvlaOG8zys3dsu7zNmczxjGfMTrnGNxznG2TPltq1leJJfK0cN5nlZu7Zd3mbM5njGM+YnXOMbjnONsmfLZPYCOiiiucxCiiigDhNI8Y6/dfFm48M6rplpY2Q0xr6ALIZJziUIC7A7Rnk7QDjjmu7ryaGLx03xpXxHL4I8uwa0Gl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Sequences 77: Powers of Fibonacci Numbers","description":"Given integers  and , we are asked to evaluate the following function: . That is,  equals  raised to the power of the -th Fibonacci number. We define  as follows:  and  for .\r\n        Example:     .\r\nPlease reduce the output, modulo .\r\n------------------------\r\nHINT: One solution is already shown, however java math is not allowed.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 172px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 86px; transform-origin: 407px 86px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 47px; 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 23.5px; text-align: left; transform-origin: 384px 23.5px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven integers\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, we are asked to evaluate the following function: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAAAyCAYAAADSinAfAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAApKADAAQAAAABAAAAMgAAAAB/Iko2AAAIz0lEQVR4Ae2ae6hVRRTGfaXXR6nli/JJpohhmpakmUjmo9QeVn8oCKaJUfTA/yIrTPGRYhZEGhYVFWgPK8tKy1eYUCmKIeIjDU3NV6VFalrf794913G79z5nzjn74DnNgu/O7Flr1sz+9tprZva5NWp48Qx4BjwDngHPgGfAM+AZ8Ay4MVDTzdxbewYqGWiov/2z4OKUbFZkYVdtUqe65iuegewZ+FemTYRZwlXCGWGJ8IdQIVwtXC8cEq4UvHgGisLASo1CcC6MGO1htX0U0Z7Y5DNkIj1emcAAsUMWRD6tKs77+6OuyKJePANFYaCfRiE7nhYus0bsrrpJdP6MYhHjq+kyMFXuCcjV1jDNVd8s1LLanKomkp06eWPPgBgYErBQX+VkoZUwXGD5PivkJDlHck6j+U7lwgCZ0OwfOdjUFpoJbYT3BS+egaIyMEqjsVz/Ktj7xG26zmvV9RlSDHpxZmBw0GO5SgITITDnC/9w4cUzUCwGCLz9AoE4pliD+nE8A3EM8FmHYAQcZMpC2IPsEi4twbsZrTmvEzqU4NwLMeV5ckIw/uzojMxq7y/rOfZPzZyflPgsMC61EdJ1DKl82mBDz2+2/yfhp0D2iCZDfqb6tQkEcPKeK6wSfhP4VNRVWC8QA+8KTgLxOIrCMbVvFZYKLwojhUzSWwb8B8i0TIYXub6R5rdB2CjwzwReohm4RM0887+F4wKfioiZpwR+4TksOEsX9SD4zFtBOUN4QCCwyBRGt0T1lkKUNFXjbuFDgfRd6sJ/sRwQov6xoNTvrZDzbytnxAcn8k1CZ4Gt2hlhrZCT0NEEHWnalsa62CkY/Re20qoTrLwV5bTMPar74b55Ob1EMzBezXDEUn9PYDI4aJsSXDsVpN0TgQMcswcMyxg1mIA8qTpLmi3mQ+qrdmMZ1Fmu9wnwE77nMri9gtzCInkhNpZZ3mYHbX2ttqyrNwedTcBFZbheIZuhIe9fBfr2ofZyuJwU3JvPkhc+zVpqOiKQpNpZ6s2qcy6xT92WOrn6nNQmGLfHmN5p2WA7wLJrozr7hS1WWzlV2WNzz2vK6aYKdC83Btx8YPnjjAFftLUQhgnVkk2EDqm2rlHjc6tuV+3US+Tznc7IaFV4U8iS2Qr/QTJQ6CEQzPMElkUj7EHQs7f92DTmUDZTH8YAvGwcuJB2wnCB1WCpkDR3To0cbvoJHYUdQilJmlwPCoh4zyKkT1Dfo5Ll/DFLl7HKf3UQEEQ0uF0ICxnioGBsXggZrA50I0LtcZczpeATgT0uew4jc1QxYxGkDYzCocTHXsH4oeTFQcYK+LV1N6BIkHekw/7BBJuLUZU217zIp4Um1s33Vx2uDgm89E5iDiM44FuS/fBr6nqAQHZAD9YLFYItP+kCHdkjG+kko0ZCa8EEBlkIeUKg7TVhl7BcyEX49HC/cEpgbpDWVODUzGlwrsAmHB14SEiSp6XEbkqSUYyOpetIAXBrjP+k5mJwHTV+ezXWiVJkantTBuahEJBkAsDD2i0YHRltusBDtYWgZUOLXVhn28XVWULNGINUZw4s14UQvh4wb/x/Ldwt/CUwDsJSYsYeUtkS/4cvD9jyorgKL5UZJ58y0xwzzStNrjONXa1PilKCyTwcOmwXyCz1BQJjo7BE2Cm8LRwVwsKSX1dg+WVv6SocFO4KOvF9k6WbshByk5yQiRFOfW8IE4QvBaRbVVH5d5NVj6qS4RCyuqvMUIfFrp0i7H+IaHNpSpNrl3nE2vaQxn5ju8daxiuuC3wcjjdJ1PQO+jOPPYK9ZUjsmIVyqmzM/eF7QajPtkC/JdQedUl2wtd3UcoSaUuT66wpqJVgaS8BB2WXKUtEuWK/h1RUFc5/ycJkY4QMwJJaKLGz/0k5fdxy3Fb1TsF1NhmZVQNh/1mqkibXWXOSbUCafU7WjgNDfsVAGgr1Kmtuf9hSmKBmiS2UXCFHPS1nE1W3g90OVrOEW+YXVPGH7K0qSvJvWlw7kcEkouQyNdoBkM1DifJDdjsksJfkof0iuAh7xmZBh1YqOwo7gut8ioHqbF5G7o1DjS23BRfMn71VJjFz3JvJMELPKbt/RLtrE18N+MySq6TFda7zOa8fBwmzv6IkGHKVDeqIj16ODobJnsPQy4KZy1hHH3HmCy2fQ0NGBCp7XsbM9kWcF9hPUukqZvUx95hraW+xXOeQJtdOc4nLkPbNbZHHA05ezzfeqksOSP2E789XxV61lIagmS3MECYKNQV8vC7wyeYl4UnhaHDN56AKYZnwp5AkZkkmexMQtjBXswSbgGQubwmrhCi5JWjMZZ/N/S2OcurYlusp25Vrx2nlb06GYGk1b+r8PF3y6w6+Pknww4txh3CNQFB9I3wrmBeGB42P/UHbKypZZglShJ8PzXx5MGw54qSLFMZ2QYQRhxujJzinCXzyaixECcv1WWGfYLYBUXYXS1u+XBf1PmprtCmCeSCUK4WGQq6CTwL8d8EEWNjXODWYMY+rTuZqZxlNt/T4OmLpCYJTlh4/7KfixA44lqqwzFKDmcta1Zl3t7CRdX2f6tg/b7VdzNV8uC7qfXXQaCcE8zDskgc+IY/ZzAz8jonxYR4qY7IE2wcqujC3kwL6YwJLty2LdWHP91lbGaovCmxZ1s3nGtuEjE7Gwx9Zr4+QJCukxDYpaJP6F1uXL9fFnm8q47WXVzINJ+S4LNlbukFCAyFKWqhxuNA8Sqm2TsJogeAYJeQjXdWZlyIqYG2//XXBeAR5KUm+XJfSvcbOdaQ0PLzxsRb5K9hbstwn7SHzH+WchzWq8pIVa7xzI/taQRiYIy/sEbsXxNs5J+wj5woswyPONadamyzvbCN6pjqKd54qAyzXHBTYm7Uu4Ejsb3cLhQ70uCmarcEjcQa+vXQY4DPJOmGTULtA02bJvLxAvjK56SsDfsF5JpOh15cOA3U11XsFltpSk86acKaTd6ndk5+vZ8Az4BnwDHgGPAOeAc+AZ8Az4BnwDHgGPANlx8B/32VHPgsG9C8AAAAASUVORK5CYII=\" width=\"82\" height=\"25\" style=\"width: 82px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. That is, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eP\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e equals\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e raised to the power of the\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e-th\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eFibonacci number\u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. We define \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" style=\"width: 15px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as follows: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJgAAAAoCAYAAAACCDNUAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAmKADAAQAAAABAAAAKAAAAAD5mAbDAAAFTElEQVR4Ae2aaahVVRTHn6X5Mips0AbsvSDLoMkKbcAShZIEqQ+lghFC04eKIIIkoZHwQ1hE0IeiCSMoCoPKRhD8EkUhZIMV+BREoyIiy542/f56F2x3Z7hnuPnOuWvB/+55nbX/d+119t73Dgy4OAPOgDPgDDgDzoAz4Aw4A86AM+AM9D0DwzCwGhyXx8S4nA5raF8I8volqbmbyqeTGhpWdz72rgMTS9j9I2NOKzFurA6ZhmErwXIwAUwH34FUGZ/asr9hGclksBZctr9q3+cGPt8GvwDpOBKcDi4FRugO8m2Qz5jECWAREA8mo2SeANvA32AQTAFyyDmdcib59GmKnIyhK8BN4LBeGP0kSv/p4FdSOVSSyNneAuo7NalDg+v0OjAOlD6QMRctNDndUxl9mtT0GsY+BK4He4HxYMGEqmqynuGm9I0cVfLyrTl9mtg8F6ONA6UzcyaxnXa9Stomm5iQ8ZDrYId0MftJ9Lko6PdOkE/KauV+ktTQ8Lr5gf07yW8MyknZtvKwK2myVequYrB5rNLhLpQd2kWfpnX5GIONh+e7ML6NHGjaHwHjoZYIdmVA5mbyI0FZWW2AdVo6WoWO/GWZlqTaf10QzCUpij9K+6qgT9s4CKZWb1ZOZR77eKRar9iXgVZ3m2UpkzMO5DjHRpM9j/IoULRvuxSKYDr1Zckwjbp+MPmezCygU+SZ4BowD9wDeiWzUawrkaryKQquKKkkjOI/oGMIzACK3heC28Bu8AHolbyO4strUH4dOj6sQU9XKvIcLCRWCh9J0apjbK9ENh5Tg/KjKugIHVPXL3LWWF6iYk9cWWNZi7oOHibUaFOuqiIOtgFtd4FBoD3JuWAl+BL08kLxC/TfAqqKLkTLyDkMOjEYuIz8FjAJTAOyTVFWEaaXov3dqzU8IGlx1KC2uAo5n27qbe8h54rlKyruiytbVtZPXsbBz+Tj0+Fi6n4Dh4N+kEJ7sKx7sIthK3ytvJvA3hTqunk9ar/2ApicoGOsVy0IDNTeRZv8UMTBOrA7rAzy4vhG8CJ4E9wPpoO+l4dhwFaubqVjEXEr4sqoLCLXAH0p0qVNcZPkCIwdBcbDzQnGz6VOPw0liaLde8DGW6prHR0OmiiFIljWBHUbb4Q8l9Uxo+1W2uaB34F0lXGw2Yz7qQboiy4qCxlgHCgdKqjgDvp/Da4GinQ3gE1AuhQNi4j2eHXwML/IQxP61uJg2sRb1BEZSxIeVKTqWzpLTxkHU3TQ2KoQMUVF/5aw58pRioruB8+KBs2gLJ1/gIlRW1bxfRrNlirpgqyHdNFWyMHGpyjUsVyvQIkm08v7nX0Pyfg4mKfI8MsoGgHHMadngSJWKHLUXeBPsDdsyMmvon0snCI1r8qi8G2rRF9wVakSwao+u+z4OQw0DpReW1ZRNO6kjt61UX1TiiMd+8VJHJ3/MweLUmHDIgraN5nocm+qFfok1en5wWiuZ1CuY/XKcSU6/DRJdGC5EwwFRi8nX+ji9hsGhKvW8tqPVYlkTYpgS5jrnhQedC+4FFSR9Qx+poqCgzBWr2e91s0fwlScxNuA/93EJjlYL8m5HeWfg365lO0llwfodgcbGNCBYQsYOoAZL9TCQL872CWwKOfSPi6UwbDg+fIM9LOD6b9iI2BmRJ/+oKnL7Fa/LtPuwSIuKhWPZ/SpHQ2nkO6spK1ZgxWx7DfcxwLTxfvZ4BWQ9htm0N2zaQzcS8M2YKeOzeRXp3VuWb2ugLYCm3tSOqtlc/bpOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDfcnAvxO0U9bq9HypAAAAAElFTkSuQmCC\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 25px; 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 12.5px; text-align: left; transform-origin: 384px 12.5px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        Example:     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"162\" height=\"25\" style=\"width: 162px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePlease reduce the output, modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"93.5\" height=\"20\" style=\"width: 93.5px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\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: 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: 0px 0px; transform-origin: 0px 0px; \"\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT:\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e One solution is already shown, however java math is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = P(x,n)\r\n    import java.math.BigInteger    \r\n    m = 2178309;   \r\n    p = BigInteger(num2str(x)).modPow(fiboBig(n),BigInteger(num2str(m))).longValue();\r\n\r\n    function f = fiboBig(a)\r\n        if a == 0\r\n            f = BigInteger.ZERO;\r\n        else\r\n            fs = [BigInteger.ONE BigInteger.ONE];\r\n            for i = 3:a\r\n                fs = [fs(2) fs(1).add(fs(2))];\r\n            end\r\n            f = fs(2);\r\n        end\r\n    end\r\nend","test_suite":"%%\r\nx = 3; n = 6;\r\np_correct = 6561;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 10; n = 10;\r\np_correct = 1704349;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11:20; n = x.*10;\r\np_correct = [1789328 703074 1326793 1022378 1427238 485143 399395 1317366 1490422 632477];\r\nassert(isequal(arrayfun(@(i) P(x(i),n(i)),1:length(x)),p_correct))\r\n%%\r\nx = 50; n = 50;\r\np_correct = 2101373;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1234; n = 5678;\r\np_correct = 1816441;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11111; n = 11111;\r\np_correct = 1606418;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 99999999; n1 = 3200055; n2 = 1185207;\r\np_correct = P(x,n1);\r\nassert(isequal(P(x,n2),p_correct))\r\n%%\r\nx = 123456789; n = 123456789;\r\np_correct = 1611366;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1e12; n = 1e12;\r\np_correct = 1935991;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = setdiff(primes(1000),primes(100)); n = x.^2;\r\np = arrayfun(@(i) P(x(i),n(i)),1:length(x));\r\ns_correct = [828561 675946 113 717102];\r\nassert(isequal(floor([mean(p) median(p) mode(p) std(p)]),s_correct))\r\n%%\r\nfiletext = fileread('P.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":8,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-19T20:51:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-10-19T20:51:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-18T16:04:17.000Z","updated_at":"2026-03-23T13:00:56.000Z","published_at":"2022-10-18T17:04:18.000Z","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\u003eGiven integers\u003c/w:t\u003e\u003c/w:r\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\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=\\\"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, we are asked to evaluate the following function: \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\u003eP(x,n)=x^{F_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. That is, \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\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e equals\u003c/w:t\u003e\u003c/w:r\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e raised to the power of the\u003c/w:t\u003e\u003c/w:r\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=\\\"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-th\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. We define \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\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as follows: \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\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \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\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003e        Example:     \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\u003eP(3,6)=3^{F_6}=3^8=6561\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ePlease reduce the output, modulo \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\u003eF_{32}=2178309\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e One solution is already shown, however java math is not allowed.\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":56428,"title":"Easy Sequences 79: Trailing Zeros of Fibonorial Numbers at any Base","description":"The fibonorial of an integer  is defined as follows:\r\n                    \r\nwhere:  is the -th Fibonacci number ( and  for ).\r\nIn other words, the fibonorial of , , is the product of all Fibonacci numbers from  to .\r\nGiven an integer  and a number base , write a function that calculates the number of trailing zeros of the fibonorial of  when written in base-.\r\nFor example, for  and , the function should return , because:\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\r\n  \u003e\u003e   '13103120230200'\r\nFor  and , the function should return .\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\r\n  \u003e\u003e   '1C4CB080'\r\n--------------------\r\nHint: As a practice, you may want to solve first, the previous problem: Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base.","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: 432.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 216.367px; transform-origin: 407px 216.367px; 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: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonorial\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003efibonorial \u003c/span\u003e\u003c/span\u003e\u003c/a\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: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof an integer \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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; 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 22.5px; text-align: left; transform-origin: 384px 22.5px; 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: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 86px; height: 45px;\" width=\"86\" height=\"45\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 15px; height: 20px;\" width=\"15\" height=\"20\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the \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);\"\u003ei\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \u003c/span\u003e\u003c/span\u003e\u003c/a\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: 2.5px 8px; transform-origin: 2.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 76px; height: 20px;\" width=\"76\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 100.5px; height: 20px;\" width=\"100.5\" height=\"20\"\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: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18px;\" width=\"33.5\" 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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn other words, the fibonorial of \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: 2px 8px; transform-origin: 2px 8px; 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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\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: 33.5px; height: 18.5px;\" width=\"33.5\" height=\"18.5\"\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: 161px 8px; transform-origin: 161px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, is the product of all Fibonacci numbers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\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: 54.5px 8px; transform-origin: 54.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer \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: 65.5px 8px; transform-origin: 65.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a number base \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);\"\u003eb\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: 248px 8px; transform-origin: 248px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \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: 0.25px 8px; transform-origin: 0.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e when written in base-\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);\"\u003eb\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: 2px 8px; transform-origin: 2px 8px; 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: 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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" 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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \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);\"\u003e2\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: 33px 8px; transform-origin: 33px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, because:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; 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 20.4333px; transform-origin: 404px 20.4333px; 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 192px 8.5px; tab-size: 4; transform-origin: 192px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 92px 8.5px; tab-size: 4; transform-origin: 92px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 64px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 64px 8.5px; \"\u003e'13103120230200'\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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAADa0lEQVRoQ+2ZOYsWQRCGd3+AeEZi5BEsCBqokQiaKPoDdDERFLxy70w8wUTwCoTNVIwVTTQwVEQxMPAIjbz+gb6vdC01/XX31OxY7Pcx3fAy30731Ew/XV1d3Ts9VYsrgWlX69X4VAXs7AQVcAXsTMDZfPXgCtiVwEpYXwp97fAWPjMT2n/E9Ufp2aF6MCEdhs5AZ6F7BsDb0eYCxGcfh4E5jusd6H5ukIYI+FQAuzxAPWYAfABtHkDPoYPKazfh9zvoF7QlBXlIgNcGr/2A6w6I3sfSBlggsu1m6H3k7Rywa9AbaGtUN9g8mNP9lRHwM7TbnQOI+xy4LzlbQ/Jg7VxWwNp7L8PA+dhDw9+fcV2XGoQKuBwiLgHauQBxFteHGcC8vz/UEfR8VmIBzFVzTRR7OC1WQ9+0sczLx/G21YMlPLAPqfgrfZM4zL8bA5ECvBeNNkK7oG0QV1tZCAj2NsSYxMLVc2cEvwRU55B9wPcdWCvgn6H/XQA3QkkKsHjnHKzS3Vl4XQK9hK6Ge1w5WUqxKYaoO9YHcNvK32bbCviPMmT14Ed4hmndv1IKEa9Rz9yOud8JiGmIeKv+wFJsijvKRUMGpg1Cqf4mKp/2MNAVMGfqisL7tD0TYE7l78EgveUIdAOSIH8Uv++G+lW4FreLPUB4PboQwBsK/WRYfRI+1gRYP0AP5qpIL5bCOMxEnXV7vCg42u0KmJ/yX0OEAKRhJtHro85K8D+N+9cdQXiZtgJeSBbRWB9yMVgSZ3ZwH6TjXdvWsQRl0rII7WhWD27wSgHWABvxJJCT+NsW+FOgJy2LkEMe9qWUuYinjxz6pADrBSz2Xr5IjPGYTsdly3SetCyCM+4TxL1Aqb8SMkccMgVYj0acmujsQtIzZhZXoPiUyQJ8sdpYYzC/T3Zp9M5UJqETgpEwkgIsyXVqxPSUYXp2EeKLc4cgiwWw7b1dANOW7AlSYUIcMrngx4D1aKTCgw4f3Hgww5jftbT1akzqOQtvQXI4w2l9Eirl8nyGILnxkpnLe3QwpqvZ3WwMmLAOBRCp/FY+bhnazEG506UxYTnyGZzuPGOJy2/ceAvxXz8l0OTDw3oeJ7C8gLgXyIZHy2nauMKaiO+qgJ2HqQKugJ0JOJuvHlwBOxNwNl89uAJ2JuBsvnqwM+C/lrfOJWxiq/sAAAAASUVORK5CYII=\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \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);\"\u003e1\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: 2px 8px; transform-origin: 2px 8px; 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: 40.8667px; 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 20.4333px; transform-origin: 404px 20.4333px; 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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 196px 8.5px; tab-size: 4; transform-origin: 196px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\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: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; 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: 68px 8.5px; tab-size: 4; transform-origin: 68px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 40px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 40px 8.5px; \"\u003e'1C4CB080'\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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e--------------------\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHint:\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: 204.5px 8px; transform-origin: 204.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e As a practice, you may want to solve first, the previous problem: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56418-easy-sequences-78-trailing-zeros-of-factorial-numbers-at-any-base\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEasy Sequences 78: Trailing Zeros of Factorial Numbers at any Base\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function z = trZerPhi(n,b)\r\ny = x;\r\nend","test_suite":"%%\r\nn = 10; bs = 2:15;\r\nz_correct = [5 2 2 2 2 1 1 1 2 1 2 1 1 2];\r\nassert(isequal(arrayfun(@(b) trZerPhi(n,b),bs),z_correct))\r\n%%\r\nn = 3:3:45; b = 2:2:30;\r\nz_correct = [1 2 2 3 3 5 2 4 4 7];\r\nassert(isequal(arrayfun(@(i) trZerPhi(n(i),b(i)),1:10),z_correct))\r\n%%\r\nn = randi(15)+2; b = randi(25)+2;\r\nfs = arrayfun(@(i)[1 0]*[1 1; 1 0]^i*[0; 1],1:n);\r\nfs(gcd(fs,b)==1) = 1;\r\nz_correct = find(flip(dec2base(prod(fs),b))-'0',1,'first') - 1;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 30:3:450; b = 20:2:300;\r\nz = arrayfun(@(i) trZerPhi(n(i),b(i)),1:numel(n));\r\ns = floor([sum(log(z)) sum(z) median(z) std(z) sum(tand(z))])\r\ns_correct = [373 2813 17 15 60];\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 1000; b = 208;\r\nz_correct = 152;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234; bs = 2:36;\r\ns_correct = 8791;\r\nassert(isequal(sum(arrayfun(@(b) trZerPhi(n,b),bs)),s_correct))\r\n%%\r\nn = 12345; b = 350;\r\nz_correct = 1541;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 123456; b = 640;\r\nz_correct = 14696;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234567; b = 1313;\r\nz_correct = 24937;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678; b = 12345;\r\nz_correct = 15000;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678910; b = factorial(10);\r\nz_correct = 1157407394;\r\nint64(trZerPhi(n,b))\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nfiletext = fileread('trZerPhi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java')...\r\n    || contains(filetext, 'for') || contains(filetext, 'while') || contains(filetext, 'if') || contains(filetext, 'switch');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":4,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-30T04:57:36.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-26T18:44:43.000Z","updated_at":"2026-03-23T17:49:09.000Z","published_at":"2022-10-29T14:44:21.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonorial\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efibonorial \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eof an integer \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 is defined 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\\\\Phi(n)=\\\\prod_{i=1}^n F_i\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\u003ewhere: \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\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 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\u003ei\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw: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\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \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\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn other words, the fibonorial of \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,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Phi(n)\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, is the product of all Fibonacci numbers from \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\u003eF_1\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 to \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\u003eF_n\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.\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\u003eGiven an integer \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 and a number base \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\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \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 when written in base-\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\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eFor example, for \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=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eb=4\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \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\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, because:\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[  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\\n  \u003e\u003e   '13103120230200']]\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\u003eFor \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=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eb=13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \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\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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[  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\\n  \u003e\u003e   '1C4CB080']]\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--------------------\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\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e As a practice, you may want to solve first, the previous problem: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56418-easy-sequences-78-trailing-zeros-of-factorial-numbers-at-any-base\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEasy Sequences 78: Trailing Zeros of Factorial Numbers at any Base\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\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":56458,"title":"Easy Sequences 80: Sum of the n-th Row of Fibonacci Square Triangle","description":"We shall call the following arrangement of Fibonacci numbers, as the Fibonacci Square Triangle:\r\n                        \r\nwhere:  and  for .\r\nWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. ), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\r\nIn this problem, we are required to find the sum of the n-th row of the Fibonacci Square Triangle. For example for the 4th row, the sum is:\r\n        \r\nSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\r\nTherefore, for the 4th row, your program output should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 445px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 222.5px; transform-origin: 407px 222.5px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe shall call the following arrangement of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, as the \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 150px; font-family: Helvetica, Arial, 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src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAU4AAAAmCAYAAACrg3LqAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABTqADAAQAAAABAAAAJgAAAAD+VY4qAAAMkElEQVR4Ae1aC7BVVRm+xuUqIDokxUOwY5mvMRRppDADASkdwWk0X2iDKTIZMZVN45gNo5JRlqY2k1oqo1YOPhkmC5VEnchBxBcqJCUGiChIDUwKvvq+y/rHdc9dz332Pndvz/pnvrvWXv+/Xt/+17/XWue2tSVJDCQGEgOJgcRAYiAxkBhIDCQGEgOJgcRAYiAxkBhIDCQGEgOJgUYYOBOV/wX0j2hkKmyXAvtH1Gl1031AwEJgdosRkXwl7IVnWYdhLZfbqpL+8W1w+j5wbiS37bD/E/A68JnIuq1oPgCTXgU8B+z9ESKghrlcBQx0zCn5ioMcpcq6Dv0tN9+C8eBs4ErgOuAswBUjCvGP29HpVuA/GTAddVwyGsqdwE9cRkpHArYAl2q2eyK/AngK2EMrr2K2SJ7JxwLgVWA/PjjExLPDvMdUw9HzDQD95wPgAMAlVfaVIzGxTUCWNbjGRYrSha7DUbDnx/dZwBWIVLNNT3qjR56mxCfoFzrm4bkXYJJC/IO7lUcAfRCP4vki4FvAd4CLgXnAS4DYnYi8TdjmWuBeYDfAJUOg5K6U7b4DdAAiQ5F5DbhJCiqcFsEz6fge8C5Ax3eJi2dXvWbq9kVnvwZ2AOJnTH2BEyZtVfYVrpGTAH3Ob+P558BM4ALg+8Bc4AHgLYC2ywGXxKzD69GQ9H+Zq9Ee0v1WG5+Msz5lvNHjhz7UQvyDziqD2Ia87T6yHToeoWk7CLDJfVAwCIZ8ufrBThbKOuTrvxqzUMb+vglUXfLm+SgQshO4OYAYH88BTRRucjd6uBzgUYz+Iz4ZEjhh3lZlX+F1hMyXqX764tx0ORoP3Gz8Ri805GPW4RzUl/7PN7TVk0XHqbGtRDoB4Al0b2ASwB2yjJupa0OXu38s0TpfgLxLpkP5isPgTOg4AX4hQmUcDK8ADjVUIEkbgO3AngZ9lYqWYLDykhvlmbuU1QADZw0IkXEwsvEcUr+ZNlwkwlVo4CzSV6ZgPDyJLSyIhHFoV+bLdKSnH66Jcxw2seuQH9YfAecBHY52e0K1CJ2uB0ybtT4o55WFcHc18jbJ1T/6ohceC6RjHs9dci6UdzkMFkPHtmoOm1jVhajANqu868yb52MUJ7fEklkR+8fV/PjeQwMnp1aUr8xQ49nMTgoQ7rQ5V2IjwA+jS9ZBeZjDoIh16OiuMBU3SzyRnuHogScU4W6Fw46q3PzjBK1Tdl4DfNLLYjAc5e8B3C3kKYegMY6NX/yqSp48k4MbAXJyCh8+gpI1cBblK0UHzmV4h7L45wW8T9saZNWi1mHAsHI3GYEWHwRc8+UHRLhb7hlBbv5xjdbpKkOng1G2GeCdgk8uggEnwDZDhLuwUQB3kvz3AtdXll9hth2z+4B5aSRPnnnk4K+wvOfaJ2CGMTwHNNcUk6yBk4MrwleKDJwDMWZuOGTxn85J1Mkv8Dy3rsz2GLMOueYYaPlhvxg4HqiaMCYId/MDBp+Lf/CeTDr9VV2nH8PzH4FldeW2x0egYFu8D3IJf9R4HZB+mb7gqgDdH5Q971irKHnyfCwIIGe+Y0kWnsvCbSOBswhfKTJw8hgqa4EBtP5jeATKdgAMbiESug7vQGPyC730f2pIByWzmYjxyPh5t+sTr3+0e1qoQX+gZrMJeS42/qrOLe3XgPEAv2Ahsp8y8gVBBuJPAXMA/psF5YFdifXvKqXh1zFW7kGFsbGVDPZ0qsWGcl9RDQZV4dk3lyroG/GVnpjfV7RO30Cea+NgYDDweWAmwAD3EBAioetwKhrbF3gR6AvwBBPaB0xLI5PVSBi/uNZ94vUPX+DUXxg7u8LSI/9NxCfc8g9VRlt8xtDTEVhHxBc4pc1hUiEi7Q/bj0fY20x72xSe8jx5ZlfCgXDi6j6WZ1dbVdEJL8JT2cc9SRvgIOSf1J4l+3tkdsqDI41Zh9zdbgP2UO2x3zdVvioJAz537JRZwNudOfcfr3/EBM7H0NeFAEnkncvhwCUAd49rAJ98AgYdAF8G799CZKIyokMs8VTwTtZRfy50dzr0oSqTQ4fU1QNnozyzP+4SKLx7DpEYnkPaK7tNI77S7LmNQIdDtE7PQv5lgAGBp6sZwGggZCcFs7bYdXgs6vBKjuLbvOyyKtff2RgO5zxfIWR0Xv9wBU7qJmi9LED+Ce35XuRPA+7WylxZefkMmh+4DJWO9p9T+b8h/Z/K2xIJxgNsBo5yHq+JnpC8eeYchOutAROK5Vma5IL+K6CfCkQXmvKfk7kwmy1ZfIXB6X7HQGVXxpOLLDyT+VIUTjYpLGX6R5XjvgPg5kOE6+Jm4M9S4EnFN0LXob7bjQmcCzGOMZ6x+NS8KviLz8ih5zUGr/oYt6YBoeL1D1fg/CJ62UvraZGWl+wnkQkNnNtVJXEwacOWTtQUpr41dWe2jyp4t15R8ue8eeZ0Y7iO5Vno5A8URCOi+1cj7cTWzeIrXCsh1zn8kLjsYuf8VW1y/LjrQZMqrkEGzbf4ECAxvsHmjlNtbkP6d5UPSThPFw8hbWS9+mLbwwBu9v4NTAFC+YFpm9c/XIFT/9K9isZWskVNuH3nv0DUl2smXbIb1FM/pLsDO7pouz/IC6Mm5Esni3h996ZKXZI3z5yscCCcuAiI5VnaWo3MDHnImIZeJWRs3lpNeBGerIaa4inkpwNybNVUnVnuIk8E6NezOkvMfzaai42lXCtf0jSmdfAc9Cs0G182Zh1+Go0RlIeBdzpzYX/mwGz/MFOr1bNWjVvBoL1QmUxE+prbvJvW6x/t3ap8WKAvaNML4y9sP/3Q3JvjpewbAO8bODAGY5fIgmadp12GSjdQpTGLQZq9B5mx8tBAeirqxh758+aZw1+n5iAOoB6NSSzP0gjf343yULE0i6/wSPw7xzy502Tg3A7kxcs4tNUBiCySjJYu0fIh2Zh1OElr0BQDNHW37IPdSppTwN0ig+Zw4MvAy0CseP3DFjhZ8UitN9ML09TBWQY1Bs6hgCtwHgr9YIDCFxB6J0r7LIGzP+o1eqxg3735J0KK5JnDIM8uycKzq72q6IaogWbxlWbOUf+orkbHr+TUeeg6HK/1Fxs4tapNy3L93QWMBPj7zAuASaahkLplJiXKvP7RbqnIL40cSRi0HrLYxRa/iAqc1DHAckdl6kX4wjiWG4DLANlNIdtF+HWhPLMrifo7F9Z3RtUwGz9pLraWFsXzKtXjGKTkjqcDk2Th2dROT5Rxh5dVGvGVrH1mqaffb+YZuGLX4VoM/iWAvPFkdjlQNqGf3w6MB44HngBMwjlcD/C/gmyS2T8Wo0UGTOJ5W+sZyk9QbXIr7RIGSel/OPJXA/w62AI9d27vAxsAElgVKYpnzp98kcNRfLBILM+WZnqkeC16FR85LGIERfnKDDWezRFjcZnyoybzY/p1l3GkLmQdctcl/d+E/GeBTcBJQNmEH1Feo3C8PMnOM+BWlPGe+j3gUcAmmf1jCloUwphuBAbZeoks7wV7Tuy/gC0IskneOcoYliL/JsAXZxM6Fe2vtBmUsLxInjndCwBy8kM+WCSWZ0szTS2mD30XEP9g+kugNxAiRflKnoFzL0zkYUCf4yV4bmSXrXMTsg5HaP3/A/ktwHV6IyXKX4Wx6Fz58mc7xp7JP0iQqVNG6ecdncWofqb6+Iaj0g+UDceyHhjtsKWKVwm05cuugjSD5wEggj8EsC8uFJPE8mxqo5llvFLZDph8lB/jlQGDKcpX8gqcp2MOOx1zPCNgjiEmvnXID9FWbRw8nZTxNHe0NkaTX9SXcU59AJsU5R+2/oLLa7Ckk68BXLvOL0A/AegHuGQslCRnvsuoRXXXKm6mOeYfyrOjicqoivSV6WCBfpjXUb1oUmvowLcO+YPpZOAgoBWkSP/Ihb+T0Qqd7LwcWuN9BYMwjzdJujKwOx55Sf5PoKOrqiWfivSVvmB0DHBUhZjNcx1WaNrWoRbpH9ZOYxW8l9oGHBFbUbP/MfI7gFFaWcp2ZaCGR95P3da1uOWekq+YX3ke69DccrVKK+MfPKY/BmwAhmXgeCrqcNc6M0PdVqvCX1H5XweXttrE1XyTr9hffKPr0N5ydTSV84+B4Ja/mj8D2H7AMNHPC2H+8DHbpExlRgamoZS7c/5q2EqSfMX/trOuQ3/L5beorH/w7u0UIOYXO15W8z4pSRwD/H/HkXFVKm+dfCXsFWZZh2Etl9sq+Ue5308aXWIgMZAYSAwkBhIDiYHEQGIgMZAYSAwkBhIDiYHEQGIgMZAYSAwkBhIDiYHEQGIgMZAYSAxUjoH/A5AUYg8UtcdYAAAAAElFTkSuQmCC\" width=\"167\" height=\"19\" style=\"width: 167px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38\" height=\"20\" style=\"width: 38px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn this problem, we are required to \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003efind the sum of the n-th row of the Fibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example for the 4th row, the sum is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"429.5\" height=\"21\" style=\"width: 429.5px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTherefore, for the 4th row, your program output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"102.5\" height=\"19\" style=\"width: 102.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = sumFST(n)\r\n    s = [4791 4791 4];\r\nend","test_suite":"%%\r\nn = 4:8;\r\ns_correct = {[4791 4791 4] [5971 7175 6] [1932 2536 9] [1632 8113 12] [3605 8865 15]};\r\nassert(isequal(arrayfun(@(i) sumFST(i),n,'uni',0),s_correct))\r\n%%\r\nn = 10;\r\ns_correct = [3152 5555 23];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 50;\r\ns_correct = [2682 1525 533];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = [1928 7575 2111];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 500;\r\ns_correct = [8201 1625 52351];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 600:100:1000;\r\ns_correct = 742673;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 100:10:1000;\r\ns_correct = 7865124;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 1234;\r\ns_correct = [3836 6419 318495];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 123456;\r\ns_correct = [1647 8064 3185286664];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = [1345 9375 208987849238];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nfiletext = fileread('sumFST.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-17T19:00:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-04T19:35:14.000Z","updated_at":"2026-03-23T18:26:25.000Z","published_at":"2022-11-08T12:04:31.000Z","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 shall call the following arrangement of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, as the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\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\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\u003eF(1)^2\\\\\\\\F(2)^2,\\\\ F(3)^2\\\\\\\\F(4)^2,\\\\ F(5)^2,\\\\ F(6)^2\\\\\\\\F(7)^2,\\\\ F(8)^2,\\\\ F(9)^\\\\ F(10)^2\\\\\\\\F(11)^2,\\\\ F(12)^2,\\\\ F(13)^2,\\\\ F(14)^2,\\\\ F(15)^2\\\\\\\\F(16)^2,\\\\ F(17)^2,\\\\ F(18)^2,\\\\ F(19)^2,\\\\ F(20)^2,\\\\ F(21)^2\\\\\\\\....\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\u003ewhere: \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\u003eF(1)=F(2)=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF(i)=F(i-1)+F(i-2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \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\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \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\u003eF(1)^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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 problem, we are required to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efind the sum of the n-th row of the Fibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example for the 4th row, the sum is:\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\u003eS_4 = F(7)^2+F(8)^2+F(9)^2+F(10)^2=13^2+21^2+34^2+55^2=4791\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\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\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\u003eTherefore, for the 4th row, your program output should be \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\u003e[4791,\\\\  4791,\\\\ 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\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":56553,"title":"Easy Sequences 81:  Fibonacci Radicals","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively. The numberis considered to be the radical of itself.\r\nFor a given index , if  is the n-th Fibonacci number ( and  for ), write a function R(n), that calculates the radical of .\r\nFor example, if  then , therefore R(12) = 2 * 3 = 6. \r\nAnd, for , , therefore R(24) = 2 * 3 * 7 * 23 = 966.\r\nSince output can be large, please present R(n) as a string (double quotes) array of digits.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 208px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 104px; transform-origin: 407px 104px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"35.5\" height=\"19\" style=\"width: 35.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\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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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAJKADAAQAAAABAAAAJAAAAAAqDuP8AAACYElEQVRYCe2Wy0tVURSHLVOypAIHNTCwGgRBQVROBLkRBUHaqKBBYDnr+Sc4cVAOEqcFIkGDQiyRBk2DJg5MpEGJFEQPsoEgRC+0vh+cfVh3s/fxeO4dRJwFH3vt9TrbtR/ehoZSyg78Zx1oLPD39JNzExZgMSN/H74zcBF6oQ2+wRLUTY5R6Tf8gVORqk3YB+AXKM5nDFuRRpBWLVuZzoP7QGxB90yMi/XHx8Q0Q01yl2xbOLSgk0nMK8YTsBm2g2LnwOZrOwvLWTJV7HUySg8t6Bn2D7ATfGnBoHPnFjXsB+Sd7yLwK+hjV8EV9BfUiu8nXICY6IC7/JlQ0MaQ0bONMlfcJVCxmOzF8RwexQKwvzS+VaOn6qZUCyvXMJ+Gc/ApHJJadUZ0hrLkh3G+NXqqZnXoAFFDcB/G04zalA6T/sToqRpbUDMRD0AP3/U0unalJynxhXEiVC62ZYMEH4IKLEM9ZAtF3IG/gW63L7P+cbwrcCsQdQWbuyX+LQuEV5luJ7kPq6xrTHbgfw+6Ddo2X4ou6CiF9C9nGlr8onbub9kIzt2gR0ud8uWwMRxB35DMdcM+G59V25lMgv7QXvgOuWWWSLcl6xn14IVkG0Z1+yPsCQX4Nr9DeqyCD1aSqI64rsjkYkMPprZmCtTxbngHdZe8Z6iJLz8F3VD9ZIlJH47OmDOPPc+C9LbpJumsVCAm6pqu/n4b4G+Z9RXRtZ36mXIedMj7EhhS0YIPgt65F/AGCstaHbpD5XpchtwLvGw+qJZb6WKynsUsEZ/5JtnipV52oOxA2YGyA/9KB/4C2OmkMcnAvEAAAAAASUVORK5CYII=\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, respectively. The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; 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 22px; text-align: left; transform-origin: 384px 22px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given index \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAIqADAAQAAAABAAAAKAAAAABIyrn1AAACYElEQVRYCe2Wz0tVURDHLZNAEA2kWulbiCG1CsowUmihkinUKqJl0B8QgkFQSMtAF+5atAmCEHFjCqJEbcRWBSK16gchUUHRpjCrz5fOwPg4z3ef3vtcdAe+d+Z+z9yZuXPPOffU1OSSdyDvQGUd2FPG/QHjA6CcXyzMMOS92ECM2xcjHXcF+wCYBt2Of4b9GHwDitEA2sFp0AYka/9UutcJwv0J+I5W4pioqBkg30Mxh1Lc3lIDRfwxd7+IrWJi8gtS3XsHPsYcSnFJCqnn4VMuwJyzY+ZvyOexgZ1y5whgn0W6kCBgbQKfTS5JOtLnnniF/cbdyzwMPoNG3QTZMCNNreTWkfGiwHqRh2C5iK/4ttzyLRBRy9JEE/Ak0KrpABfAWTACMpVrRLdubKVt78ismClXyFPsE+AMUCduAy3XlyBT0WfTzmmduB7Jtgp3K8KnSunNrQhpv6lZoi8leBtPRd8hihXyIRJRK+ZGhE+d0u5ohdxPPXrCgM34aVOyQi4lfC51t8uuCP07VNh2RWcZTXyT/WYk0Qs4WTdWkjxQ5KPCx8AT8BX0g6NgCejFtBuXlSE8rAjpNVDR2QL/OtAJfgAdGY4DLfWbYB3o37SlvGbUF2G25kulnWkJsebRL8ARoF+DYumEVzW5Sia9iHbfiyFrX+BGw31V1KOQdNZluxs4nW2rItrstOv+BK0uo/5Lmrx+Fbnh9E0dFfRZ9NM00YQ37iD2eRuQVuVZSG8IOumCdwX7LVqf7b0by8zUPqRl2uQy9GCrI5/AoON3xSyQtWrzY1feME+ad+D/68BfHjmCfc9+DE0AAAAASUVORK5CYII=\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is the n-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \u003c/span\u003e\u003c/span\u003e\u003c/a\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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewrite a function \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e that calculates the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAWKADAAQAAAABAAAAJAAAAADbokXeAAADnUlEQVRoBe2Z+4tNURTHh0FDHnlFMd4lCU3xA0KN8QzlF4WmRkn5BfkDzA8oKa/yg0eK+Gk8ixIikZpoiKS8UyYiTfJ+DZ/vnbOn1XHuOefOjDF3Zq/63L3PXmufc/b3nrv2uvcWFHjzCngFvAJeAa9AO1WgsJ2uK82yRhC0CWrgMyTZaAIWQTksgf7wCerAm1GgmP5++A6/YQzEWVecleDiNcdymOOO/KCy/AYbQrMXvoEVKEngg6F4O9f1TxPTDTq0nWT1m0Ef8R/gxIkTeE4Qd592NhRBH5gL98CdQ63Sh7dAAQnmxIkT+AJxL2FQMM823Tl4Au48u6yzo/erjTDZBO5JjNLJ8hix9GlwAt+OiuscNejHMgqM4vUaVMXoccf46k2/sdulsfd3ZwBDJQGPaZXIZcNhMahsOQeXoT2acqxycJx9Nc5nph/b3YFXecc9+mpXBjNW0X4M+aYEvnxq0qSINOspM1qsSDNBMWNhGbi6TztuX1gHP0HJ/Dy4N2At/bR2isB3LYB29OZYSwm8h5uQDq+hKJcbUnH9ATT5CiwFfdtReSJbD07g+ZmRdC+XzDw3vyltLteMurNqcx/ZNrmoeXasBwdvgvPogYy0bDl4KtHaRWXKRUdgDVwE2cSGJvN61/STutsIOJ4UlMJfkyLmX4dUcoGBoE0wbiOMvI8tjLon6wX9A6Goh4Ff9WQ+WnOf4MksWqnzJqgeztk00Qn8iH4Pc4ZhxqcNMR+tOQIPZcG18BQGN2Xx+pXoFziBS0MnWW1880K+fDlsqsC9WaBqXwk8Ms1io3JwGRPdFxDlXG1y1lxtqBpQhXgupipiVi4TssRqU2nt+lup4CwUw0x4DokWJbCrFDR5d+gMEt6VSNfpfwn5kw57EdAvKSiFX1VOa5qudwJKQOt/AFFWwaB8SrEZixP4LREqq6zpAkohMldRHKJ/FK5CkrWVKqJT0o0avx6qY1AKC+AWRJme6n0wyTrDAo/DqSQuOwP6YmFthjnQR3Qr6MQbzXhcV3PE/zb761hRzM3ojVAFpZT0CioCaBpNb8AEUOl6A1RhZbUNeNzmFvX75nbjV4p4D7Ym5rBNWyF3Z9eotaoSypZyduJzeqRpy4mPtSq8OpH+a4qq7xYyXh/E1NJOg3wxpafw7yhOND0o4Zp+OmPOn6atIz5KM4Zzs/GE65tei5wst0v7aK+AV8Ar4BXwCngFvAJeAa+AV8Ar4BUo+APF1wymtZlS5gAAAABJRU5ErkJggg==\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123\" height=\"21\" style=\"width: 123px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(12) = 2 * 3 = 6\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAnd, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAWKADAAQAAAABAAAAJAAAAADbokXeAAAD5UlEQVRoBe2Y2YuOURzHxzbZsoS4sIQihCZLoSFj1xi5oNDUWFKWjPgD5oYSIXciIq5GDUJCI43ckDUXtmwZNGiyDMYyfL48Zzodz/O+z7wzzPKeb33n/J7z+53znvN9zvs7v3cyMjy8Al4Br4BXwCvQQhVo00L3FbWtwThyYT7Mgz1gFayEqWAFgwrhQ1iRygQtZUw7NlIEv8KfITxIX10P2zjGfAvmmkmb1tjH7sOEtfuOEZMZU6VOxN235kxrgWcEQtyhnQbbw65QotyGtshKH3GwlyB7XFoLfBYxnsPeIcp1oE/504i1KyTG7ZofxN+1xqWtwJ0RoRouhlHQhWcEvh4VFPT3oX0N9dLWQjMuUuDWBLVkDGJzZbA4wSZvWL4ayw4zD9ApzZZBiZsUbRNE9MSXFfAB7bEgdgDtPKiS5xQshU0VyrHKwYnwxXI+smzXXEfHHLgQvnCddXneQbByljn+apcGE+jNfXR8KleaM6azeLPXJREbGU7/J3jI8q/BNuMiU4QVX2sOxVoETc2oWq87XA+/Q10EZ6CZfDV2XJQQ+LYBqGqgobCbibSXV1AVhotMOpRGnsAu0CBlgTWBCvMPUB98AS6AeoPmTRViG4FnY8fFeQLNuPq0dfnMRGvriLMiWJMOVRi20fkDZjvOWAJH5eAJTKYbWFAe01djFTwHhVF/mt9/b1l2MnMrAUeTBcXwX4sREyekiKBesDigO2YqHZvgdnjJddbneTODzQl7iq3C2sY9HuRX8d5cMZaFK/1dgaqHXXSj4xlUelCacFGvE2xSgSathhus2ftjDwmeVQ82R/Rl0SegBMyDn6EL5eZ+UHeOTrKLLKtjDHar4Fnf+JeW7y9T/2FSzjEnOMeJWGn5Zjm+5vCoi0qnshwOTLDgm/iMBnVp8+05w3LwdAJUTAvKubrkbJi6UvVjme2IYZcQMyVGXLIQXUilyYJC/EoFJ6FO5mT4GEahBocYBZ1Yc2oVY2L1MhJiP17zxlRY25Dwb6D85sKz/cnsxqwiVBmdhu9hotq9AP94mAwp52CTf/WbW4LYUN5RChGMwHohh+FFmAyNVUXoYByBOVCH5ioMg071Hjg6zJlKn5sihjGJLgDhONQPCxvZ1kMp9haoRW20+hOZGiP+T+hrrCpIaUWXT0FAmlroBYyEKj8vQ1VJ/wSqFkx6yA35hG2WX3XhO6hFNWXsZHFmT3Ha/JibiZUi3LmKg8VU0epCcDGXDiVzLbQcToRNGZNYXBxRTUwl8WH7DtvjcmtufYsbDCOYaQKMu5AG+2A/kVfAK+AV8Ap4BbwCXgGvgFfAK+AV8AqgwC/CdTTsZFHbcQAAAABJRU5ErkJggg==\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"193\" height=\"21\" style=\"width: 193px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(24) = 2 * 3 * 7 * 23 = 966\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: 0px 0px; transform-origin: 0px 0px; \"\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince output can be large, please present \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as a string (double quotes) array of digits.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = R(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = [24 1:10 12];\r\nr_correct = [\"966\" \"1\" \"1\" \"2\" \"3\" \"5\" \"2\" \"13\" \"21\" \"34\" \"55\" \"6\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 11:10:61;\r\nr_correct = [\"89\" \"10946\" \"1346269\" \"165580141\" \"20365011074\" \"2504730781961\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = [70 71 72]; \r\nr_correct = [\"190392490709135\" \"308061521170129\" \"3461486193606\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 100; \r\nr_correct = \"70844969635852383015\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 120; \r\nr_correct = \"111632484478978471684830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 300; \r\nr_correct = \"1851935371911837046081165778849249726722224492470831374924830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 500; \r\nr_correct = \"5576928982467915205588975314816291358002810263507892290564358517933022864914531627662306355048900851765\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 200:50:1000; \r\ns_correct = [2136 2650 3201 3835 4365 4892 5409 5927 6477 6986 7662 8105 8751 9227 9768 10384 10917];\r\nassert(isequal(arrayfun(@(i) sum(char(i)),R(n)),s_correct))\r\n%%\r\nn = 1234; \r\nr_correct = \"347746739180370201052517440604335969788684934927843710657352239304121649686845967975636459392453053377493026875020744760145842401792378749321113719919618588095724485583919541019961884523908359133457357334538791778480910430756107407761555218113998374287548487\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 10000; \r\ns_correct = [205 214 233 161 224 198 244 200 195 214];\r\nassert(isequal(histc(char(R(n)),'0123456789'),s_correct))\r\n%%\r\nfiletext = fileread('R.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'regex') || contains(filetext, '[') || contains(filetext, '{');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-11T14:37:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-11-11T13:37:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-09T09:10:40.000Z","updated_at":"2026-03-24T12:07:58.000Z","published_at":"2022-11-11T13:04:28.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw: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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \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\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \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\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \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\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \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. Similarly, the radicals of \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\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \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\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively. 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\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\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 a given index \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, if \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\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the n-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw: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\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \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\u003eF_n=F_{n-1}+F_{n-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \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\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewrite a function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\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\u003e that calculates the radical of \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\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eFor example, if \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=12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e then \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\u003eF_{12}=144=2^4\\\\times3^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(12) = 2 * 3 = 6\u003c/w:t\u003e\u003c/w:r\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\u003eAnd, for \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=24\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{24}=46368 = 2^5 \\\\times 3^2 \\\\times 7 \\\\times 23\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(24) = 2 * 3 * 7 * 23 = 966\u003c/w:t\u003e\u003c/w:r\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\u003eSince output can be large, please present \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as a string (double quotes) array of digits.\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\"}]}"}],"no_progress_badge":{"id":53,"name":"Unknown","symbol":"unknown","description":"Partially completed groups","description_html":null,"image_location":"/images/responsive/supporting/matlabcentral/cody/badges/problem_groups_unknown_2.png","bonus":null,"players_count":0,"active":false,"created_by":null,"updated_by":null,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"created_at":"2018-01-10T23:20:29.000Z","updated_at":"2018-01-10T23:20:29.000Z","community_badge_id":null,"award_multiples":false}}