Problem 52866. Easy Sequences 36: Hyperbolic Lattice Points

Created by Ramon Villamangca

Solve Later

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(A lattice point is a point </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>(n,m)</w:t></w:r></w:customXml><w:r><w:t> on the xy-plane where both </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>m</w:t></w:r></w:customXml><w:r><w:t> are integers.)</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:rPr><w:b/></w:rPr><w:t>Given the integers </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>b</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, write a function that counts the number of positive lattice points that the hyperbola: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>y = \\frac{ax}{x-b}</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, passes through.</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:rPr><w:b/></w:rPr><w:t>NOTE: </w:t></w:r><w:r><w:t>The trivial point </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>(0,0)</w:t></w:r></w:customXml><w:r><w:t>, is not to be included in the 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<div 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; "><div style="block-size: 510px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div style="block-size: 56px; 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 graph, shown below, of the hyperbola: </span></span><span style="vertical-align:-15px"><img src="data:image/png;base64,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" width="61" height="35" style="width: 61px; height: 35px;"></span><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="">, passes through four positive lattice points:</span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" 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data-image-state="image-loaded"></div><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; 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="">It can be shown that those </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">4</span><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=""> points are the only positive lattice points that the above hyperbola touches. (A lattice point is a point </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="39.5" height="19" style="width: 39.5px; height: 19px;"></span><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=""> on the xy-plane where both </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">n</span><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=""> and </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">m</span><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=""> are integers.)</span></span></div><div style="block-size: 56px; 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="font-weight: bold; ">Given the integers </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">a</span><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="font-weight: bold; "> and </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">b</span><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="font-weight: bold; ">, write a function that counts the number of positive lattice points that the hyperbola: </span></span><span style="vertical-align:-15px"><img src="data:image/png;base64,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" width="61" height="35" style="width: 61px; height: 35px;"></span><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="font-weight: bold; ">, passes through.</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="font-weight: bold; ">NOTE: </span></span><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 trivial point </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEgAAAAmCAYAAABnE91tAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAASKADAAQAAAABAAAAJgAAAAC2M4/DAAAFQklEQVRoBe2YWcxdUxTHW6qqlBpjKPmE1hBjSJqgPsUDNSRieCipBFGJ4QWJF8GDhAgiIiHSN0NTog0tLxW0SR8khiYUCfIRQ2lQqmhp+f/ut9fNuufb65zznXsraXNW8r977TXus/Zw9rkTJrTUVqCtQFuBtgK7TAXm60m+FKbthE90rca8Rjh6R439VgXeLtxYkuAw6W4XnhAeE+YJU4UdQRMV9CLhAeFZ4Q5hlhDRJClWCD8Kx0RGTeWz5bhVeLAkAIXZIlDEtwVm61/hL2GBMEg6RME+FIjPA78s/Jz65J0u5GgfCd8XPhCm5AyayPaX04iwVGDWcsSqojDgAmdwiXgeYptwnZP3wzKetQJxVwp7CNCewmoB+bvCfkKODpdwvbAop2wiWyanv4VoWV4oHQVgYM8IRWIg6P4RTi8qG/TfkQ/x/hCKY2KL/Zn0r6iNiO1IjBsig7pyDmUCsccjWi4FNmBmxohBm77fWTvTxXo+kwvRC8mGSRsScsT2+lb4XWDbNaY35cnDDQUROJRZGdh8F9ggZkljw6wfIDSlp+RoxV4YBLnF2TwU2CC+M9k1XkVHKgCz8JEQ0V1S2IAXR0aSL3F2vA2bEGeNHcTkPD4IcqLkNiYO8IhOkAK7VZEB8t1KlNwb0LOKIjrFKT5xfJH92AmiB3MmWZYJ44CGeBl81uHG/jAO9NDBwoEdbuwPduuFOcKxY9WjkrICXZycygp0hAu80fFF9lcnOMrx42F9rt/kyOznCPkmpyjL91aym+vse9iyAlngdT0evR1emUZlBfI6i2t+ddu6uYhXN9+nKTmrM0tRgSbK2gb0U9ZzVHio0/lV4sQd1s8ol7wmVDcXsevms2ebEQ0oKhB7d7KwTfCzUYzDncOIokbENd9od2PG2dbNRdi6+RoXiNc3RHGivY7+B34SRTdX1HuZkVrv48SVrPcry0Wguvls8u3wHzOIaAVxgYKmjDbhrx/09NCq99vo+xK7MlXdXMTwYynLZ4XkLpelqEDcMqG9Bb5xIvrGKfygnLjDel3ZhbLo5/s+175SRGNHjt6oLJ9dAXxs8+u0URK+wDckSwvS45g6bzjhqY4vsv6+ZK/Wok1Vn4ewSyvn3cmBw0mS23n4hfivAzvEByXduAuEnznZ2yzF6mleV29zksxRawPzRsiGk4BPjaVeOU7+JWdvMZ2ow851guh7zUzsrLVnNXm3jVYQBtw0IR48It4sK5KSleZXivmcJsa+v5aJt/MNPZ8PlwpXCWznKvIF8oXwfue7znOOz7HnJuHanLJKNk8GvMFeqzCcKT2vS2yXZ2zZhug2Cix/T6+qgw68J/izQ90sPSkp9lxBZhcszkpy9IsKumKX7bVd4LwtWyhFv26f+woHHBfASV1pnhmWeIvAwO4WONjBPQIyzrTzBE8MaquA3nCNNwh4xsXWxmedwARBswS+z5CzqqvGfHWyfURtY3pYniRcUCPCFbL5Ktn/ohbgi+xyIUdsGWwM9+eMMrJpki0WWEX4jqSW/ovCVKGKVsoA39yxUOXb1Q+JYwV9LlTNiEw6Z8rZaq9POEdtlR8zzz8HDHa+MB7iu+4yYaHAJNCvQ8MyIt+SOsZVNlemYDdVGfahf1q+G4Q6Z1Afabquq8Qx6QPL96iCbRJ4Iw2SOIceFzYLrID/g+5VEs7LMwaZjG2yWuDEnzHAwDcr1ogw6MJHQ7StfFtk0I+c1+IagTtD0y/yYn6WuN2RirpB9zkbeZveN+jAPt5kdbjUsTV2NjpOA+ae1FJbgbYCbQXaCuwqFfgPvWIJD9LzB6AAAAAASUVORK5CYII=" width="36" height="19" style="width: 36px; height: 19px;"></span><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="">, is not to be included in the count.</span></span></div></div></div>

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Last Solution submitted on Jan 09, 2023

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1 Comment

GeeTwo on 10 Nov 2022

The graph labeling is incorrect. The horizontal line is y=2, the vertical is x=4.
Positive lattice points are not defined. From context this appears to be (n,m) where m and n are both positive integers (natural numbers). Note that in the sample case (2,-2) is on the hyberbola but presumably not counted because m==2, or y=2.

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Problem 52866. Easy Sequences 36: Hyperbolic Lattice Points

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Problem 52866. Easy Sequences 36: Hyperbolic Lattice Points

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