Problem 47463. Slitherlink II: Gimmes

Created by Richard Zapor

Solve Later

{"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>This challenge is to solve </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Slitherlink\"><w:r><w:t>Slitherlink</w:t></w:r></w:hyperlink><w:r><w:t> pencil puzzles. An essential starter guide is </w:t></w:r><w:hyperlink w:docLocation=\"https://www.conceptispuzzles.com/index.aspx?uri=puzzle/slitherlink/techniques\"><w:r><w:t>Slitherlink Techniques</w:t></w:r></w:hyperlink><w:r><w:t>. An s matrix with values from 0:5 is provided. An s of 5 means this locations edges are not provided and may be from 0:3. The player will be given the s, c, and initial p matrices. The c matrix is clarified for the creation of the solution path of nodes as given in c.  The p matrix is a [numel,numel] matrix of c indices where p(x,y)=1 is a possible node connection. p(1,2)=1 as well as example's p(1,5)=1. Additional details of p are provided in the function template. Function template also includes visualization code.</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>This Slitherlink II: Gimmes</w:t></w:r><w:r><w:t> is for the cases where s is solved using only the Gimmes from Slitherlink Starting Techniques. The site is missing the Gimme case of adjacent 31 on an edge. Trivial cases may be presented and should be solved prior to processing the Gimmes. </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>Input:</w:t></w:r><w:r><w:t> s,  matrix of edge counts of the unique solution path; (c,p,bsegs,emap,pmap)  are provided but not required</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>Output:</w:t></w:r><w:r><w:t> sv, a vector of path nodes where sv(1)=sv(end). These nodes correspond to values in the c matrix example.</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>Example:</w:t></w:r><w:r><w:t> </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[%[1 5  9 13 17 % c matrix   [3 1 1 2; % s matrix  [1 2 6 7 8 12 16 20 19 18 17 13 9 5 1] % sv\n% 2 6 10 14 18 %path nodes   2 1 0 1; %qty edges  % sv matrix is vector of nodes generating the\n% 3 7 11 15 19 % corners     1 2 1 2] %adjacent   % Red Line path\n% 4 8 12 16 20]                       %to path]]></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>Related Challenges:</w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"127\"/><w:attr w:name=\"width\" w:val=\"241\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Slitherlink I: Trivial, Slitherlink III: Evolve, Slitherlink IV: Recursive (medium), Slitherlink V: Assert/Evolve/Check (large)</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","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: 531.65px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 265.833px; transform-origin: 407px 265.833px; vertical-align: baseline; "><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: 80.1333px 7.91667px; transform-origin: 80.1333px 7.91667px; unicode-bidi: normal; "><span style="">This challenge is to solve </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Slitherlink"><span style=""><span style="">Slitherlink</span></span></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: 137.7px 7.91667px; transform-origin: 137.7px 7.91667px; unicode-bidi: normal; "><span style=""> pencil puzzles. An essential starter guide is </span></span><a target='_blank' href = "https://www.conceptispuzzles.com/index.aspx?uri=puzzle/slitherlink/techniques"><span style=""><span style="">Slitherlink Techniques</span></span></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: 55.2167px 7.91667px; transform-origin: 55.2167px 7.91667px; unicode-bidi: normal; "><span style="">. An s matrix with values from 0:5 is provided. An s of 5 means this locations edges are not provided and may be from 0:3. The player will be given the s, c, and initial p matrices. The c matrix is clarified for the creation of the solution path of nodes as given in c.  The p matrix is a [numel,numel] matrix of c indices where p(x,y)=1 is a possible node connection. p(1,2)=1 as well as example's p(1,5)=1. Additional details of p are provided in the function template. Function template also includes visualization code.</span></span></div><div 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; "><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: 87.8667px 7.91667px; transform-origin: 87.8667px 7.91667px; unicode-bidi: normal; "><span style="font-weight: 700; ">This Slitherlink II: Gimmes</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; perspective-origin: 293.283px 7.91667px; transform-origin: 293.283px 7.91667px; unicode-bidi: normal; "><span style=""> is for the cases where s is solved using only the Gimmes from Slitherlink Starting Techniques. The site is missing the Gimme case of adjacent 31 on an edge. Trivial cases may be presented and should be solved prior to processing the Gimmes. </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; 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; "><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: 19.4333px 7.91667px; transform-origin: 19.4333px 7.91667px; unicode-bidi: normal; "><span style="font-weight: 700; ">Input:</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; perspective-origin: 333.35px 7.91667px; transform-origin: 333.35px 7.91667px; unicode-bidi: normal; "><span style=""> s,  matrix of edge counts of the unique solution path; (c,p,bsegs,emap,pmap)  are provided but not required</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; 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; "><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: 25.2667px 7.91667px; transform-origin: 25.2667px 7.91667px; unicode-bidi: normal; "><span style="font-weight: 700; ">Output:</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; perspective-origin: 334.583px 7.91667px; transform-origin: 334.583px 7.91667px; unicode-bidi: normal; "><span style=""> sv, a vector of path nodes where sv(1)=sv(end). These nodes correspond to values in the c matrix example.</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; 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; "><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: 31.1167px 7.91667px; transform-origin: 31.1167px 7.91667px; unicode-bidi: normal; "><span style="font-weight: 700; ">Example:</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; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "><span style=""> </span></span></div><div 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; "><div 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: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; 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; "><span 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: 358.05px 7.91667px; transform-origin: 358.05px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); text-decoration: none; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); ">%[1 5  9 13 17 % c matrix   [3 1 1 2; % s matrix  [1 2 6 7 8 12 16 20 19 18 17 13 9 5 1] % sv</span></span></div><div 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: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; 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; "><span 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: 365.75px 7.91667px; transform-origin: 365.75px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); text-decoration: none; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); ">% 2 6 10 14 18 %path nodes   2 1 0 1; %qty edges  % sv matrix is vector of nodes generating the</span></span></div><div 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: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; 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; "><span 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: 250.25px 7.91667px; transform-origin: 250.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); text-decoration: none; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); ">% 3 7 11 15 19 % corners     1 2 1 2] %adjacent   % Red Line path</span></span></div><div 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: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; 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; "><span 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: 177.1px 7.91667px; transform-origin: 177.1px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); text-decoration: none; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); ">% 4 8 12 16 20]                       %to path</span></span></div></div><div style="block-size: 132.917px; 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 66.4667px; text-align: left; transform-origin: 384px 66.4667px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 66.9px 7.91667px; transform-origin: 66.9px 7.91667px; unicode-bidi: normal; "><span style="font-weight: 700; ">Related Challenges:</span></span><img class="imageNode" style="vertical-align: baseline;width: 241px;height: 127px" src="data:image/png;base64,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" data-image-state="image-loaded" width="241" height="127"></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; 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; "><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: 363.683px 7.91667px; transform-origin: 363.683px 7.91667px; unicode-bidi: normal; "><span style="">Slitherlink I: Trivial, Slitherlink III: Evolve, Slitherlink IV: Recursive (medium), Slitherlink V: Assert/Evolve/Check (large)</span></span></div></div></div>

Solve

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6 Solutions
1 Solvers

Last Solution submitted on Jul 05, 2022

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2 Comments

2 Comments

Arunika Oyshi on 17 Mar 2021

detailed description - good problem creation!

Maurizio De Angelis on 17 Feb 2022

I noted that a very few number of puzzles can be solved only with Gimmes (and Trivial, of course), and these puzzles don't need all Gimmes techniques, but only "2 Corner" and "3-0 Adjacent".
So I think using all other Gimmes is useful only along with Evolve, in a more efficient way which combines both.

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Problem 47463. Slitherlink II: Gimmes

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Problem 47463. Slitherlink II: Gimmes

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers1

Suggested Problems

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