Problem 55990. Next Tribonacci Number

Created by Ben Placek

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The \"Tribonacci\" sequence is an extension of the idea of the Fibonacci sequence:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>T_0 = 0, T_1 = 1, T_2 = 1, \\dots, T_{n+1} = T_n + T_{n-1} + T_{n-2}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>That is, each new term is the sum of the three previous terms.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The first 10 Tribonacci numbers are: 0, 1, 1, 2, 4, 7, 13, 24, 44, 81.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a value N, find the smallest Tribonacci number greater than N. You can assume N is a positive integer.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, if N = 42, your function should return 44. If N = 17, your function should return 24.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20px; 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; "><div style="block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence:</span></span></div><div 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; "><span style="vertical-align:-6px"><img 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" width="308.5" height="20" style="width: 308.5px; height: 20px;"></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">That is, each new term is the sum of the three previous terms.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">The first 10 Tribonacci numbers are: 0, 1, 1, 2, 4, 7, 13, 24, 44, 81.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">Given a value N, find the smallest Tribonacci number greater than N. You can assume N is a positive integer.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">For example, if N = 42, your function should return 44. If N = 17, your function should return 24.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style=""></span></span></div></div></div>

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Solution 10378510

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合龙 on 5 Mar 2023 at 8:19

great solution

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Problem 55990. Next Tribonacci Number

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