Problem 45426. The Tortoise and the Hare - 02

Created by Asif Newaz

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Previous problem</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/45425-the-tortoise-and-the-hare-01\"><w:r><w:t>&lt;https://www.mathworks.com/matlabcentral/cody/problems/45425-the-tortoise-and-the-hare-01</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Suppose in an infinitely long line, the tortoise is standing in position 0.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>From that place, it can move in both +ve and -ve direction. The condition is that, in i-th jump, it can move i step forward or backward.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>So one possible scenario can be -</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 0 [i=1] --- 1 step forward\n 1 [i=2] --- 2 step forward\n 3 [i=3] --- 3 step forward\n 6 [i=4] --- 4 step backward\n 2 [i=5] --- 5 step forward\n 7 [i=6] --- 6 step backward\n 1 [i=7] --- 7 step forward\n 8]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If you look carefully, you'll find that -- If the tortoise moves this way, it'll always be able to reach any destination (x).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The question is what is the minimum number of moves it'll take to reach destination x.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example --</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ if x=8\n >> in the above example, it takes 7 steps\n >> but if it moves this way -- [0,-1,1,4,8] -- steps required = 4.]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>So 4 is the optimum way.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Previous problem <a href = "https://www.mathworks.com/matlabcentral/cody/problems/45425-the-tortoise-and-the-hare-01">https://www.mathworks.com/matlabcentral/cody/problems/45425-the-tortoise-and-the-hare-01</a>Suppose in an infinitely long line, the tortoise is standing in position 0.From that place, it can move in both +ve and -ve direction. The condition is that, in i-th jump, it can move i step forward or backward.So one possible scenario can be -<pre> 0 [i=1] --- 1 step forward
 1 [i=2] --- 2 step forward
 3 [i=3] --- 3 step forward
 6 [i=4] --- 4 step backward
 2 [i=5] --- 5 step forward
 7 [i=6] --- 6 step backward
 1 [i=7] --- 7 step forward
 8</pre>If you look carefully, you'll find that -- If the tortoise moves this way, it'll always be able to reach any destination (x).The question is what is the minimum number of moves it'll take to reach destination x.For example --<pre> if x=8
 &gt;&gt; in the above example, it takes 7 steps
 &gt;&gt; but if it moves this way -- [0,-1,1,4,8] -- steps required = 4.</pre>So 4 is the optimum way.

Solve

Solution Stats

36 Solutions
6 Solvers

Last Solution submitted on Dec 21, 2020

Last 200 Solutions

Problem Recent Solvers6

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45426. The Tortoise and the Hare - 02

Solution Stats

Last 200 Solutions

Problem Recent Solvers6

Suggested Problems

More from this Author156

Problem Tags

Community Treasure Hunt

Problem 45426. The Tortoise and the Hare - 02

Solution Stats

Last 200 Solutions

Problem Recent Solvers6

Suggested Problems

More from this Author156

Problem Tags

Community Treasure Hunt

Players