Problem 46573. Determine the winner of a goofy golf tournament

Created by ChrisR

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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>My brother and father were playing golf one day, and they caught up to a group that was part of a tournament. The group members explained that the tournament's rules were unconventional:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The golfer with the best score must have cheated, so that person is eliminated.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The golfer with the second-best score must have choked (</w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Choke_(sports)\"><w:r><w:t>definition</w:t></w:r></w:hyperlink><w:r><w:t>, </w:t></w:r><w:hyperlink w:docLocation=\"https://www.youtube.com/watch?v=A24tAToTxLU\"><w:r><w:t>example</w:t></w:r></w:hyperlink><w:r><w:t>), so that person is eliminated.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Therefore, the golfer with the third-best score wins.</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>Write a function that takes a vector of scores and determines the winner of this tournament (i.e., the number of the golfer with the third-best score). Remember that the objective in golf is to get a </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>low</w:t></w:r><w:r><w:t> score. You can assume that if two golfers tie for the best score, a playoff would separate them. If two golfers tie for the second-best score, eliminate them both. Let's ignore the possibility of a tie for third-best score; the organizers of the tournament probably had everyone figure it out at the </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Nineteenth_hole\"><w:r><w:t>19th hole</w:t></w:r></w:hyperlink><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: 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; "><div style="block-size: 239.45px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 119.725px; transform-origin: 407px 119.725px; vertical-align: baseline; "><div 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; "><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; perspective-origin: 375.217px 8.05px; transform-origin: 375.217px 8.05px; unicode-bidi: normal; ">My brother and father were playing golf one day, and they caught up to a group that was part of a tournament. The group members explained that the tournament's rules were unconventional:</div><ul style="block-size: 62.45px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 31.225px; transform-origin: 391px 31.225px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 20.8167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4083px; text-align: left; transform-origin: 363px 10.4083px; white-space: pre-wrap; margin-left: 56px; ">The golfer with the best score must have cheated, so that person is eliminated.</li><li style="block-size: 20.8167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4083px; text-align: left; transform-origin: 363px 10.4083px; white-space: pre-wrap; margin-left: 56px; ">The golfer with the second-best score must have choked (<a target='_blank' href = "https://en.wikipedia.org/wiki/Choke_(sports)">definition</a>, <a target='_blank' href = "https://www.youtube.com/watch?v=A24tAToTxLU">example</a>), so that person is eliminated.</li><li style="block-size: 20.8167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4083px; text-align: left; transform-origin: 363px 10.4083px; white-space: pre-wrap; margin-left: 56px; ">Therefore, the golfer with the third-best score wins.</li></ul><div style="block-size: 105px; 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 52.5px; text-align: left; transform-origin: 384px 52.5px; 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; perspective-origin: 374.025px 8.05px; transform-origin: 374.025px 8.05px; unicode-bidi: normal; ">Write a function that takes a vector of scores and determines the winner of this tournament (i.e., the number of the golfer with the third-best score). Remember that the objective in golf is to get a <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; perspective-origin: 10.5083px 8.05px; transform-origin: 10.5083px 8.05px; unicode-bidi: normal; ">low<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; perspective-origin: 140.533px 8.05px; transform-origin: 140.533px 8.05px; unicode-bidi: normal; "> score. You can assume that if two golfers tie for the best score, a playoff would separate them. If two golfers tie for the second-best score, eliminate them both. Let's ignore the possibility of a tie for third-best score; the organizers of the tournament probably had everyone figure it out at the <a target='_blank' href = "https://en.wikipedia.org/wiki/Nineteenth_hole">19th hole</a><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; perspective-origin: 3.88333px 8.05px; transform-origin: 3.88333px 8.05px; unicode-bidi: normal; ">. </div></div></div>

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Last Solution submitted on Mar 04, 2023

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Christian Schröder on 4 Mar 2023

The problem description is a bit unclear. Suppose that x = [70 71 73 74 73 70 72]. Then golfer #7 has the third best score; but since there's two golfers tied for first place (#1 and #6) and we're supposed to imagine a play-off then, I would suspect that the correct answer here is actually 2 rather than 7. Would be nice to get a clarification.

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Problem 46573. Determine the winner of a goofy golf tournament

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