Created
January 26, 2013 00:03
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Josephus problem illustration and formula test
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| <!DOCTYPE html> | |
| <html> | |
| <head> | |
| <script src="http://ajax.googleapis.com/ajax/libs/jquery/1/jquery.min.js"></script> | |
| <link type="text/css" rel="stylesheet" href="http://code.shutterstock.com/rickshaw/src/css/graph.css"> | |
| <script src="http://code.shutterstock.com/rickshaw/vendor/d3.v2.js"></script> | |
| <script src="http://code.shutterstock.com/rickshaw/rickshaw.js"></script> | |
| <meta charset=utf-8 /> | |
| <style> | |
| body { | |
| font: 10px sans-serif; | |
| } | |
| .axis path, | |
| .axis line { | |
| fill: none; | |
| stroke: #000; | |
| shape-rendering: crispEdges; | |
| } | |
| .dot { | |
| stroke: #000; | |
| } | |
| </style> | |
| <title>KILL</title> | |
| </head> | |
| <body> | |
| <div id="chart"></div> | |
| <ul id="results"></ul> | |
| </body> | |
| <script> | |
| var result = []; | |
| var killThem = function(n) { | |
| var guys = new Array(n); | |
| var numberKill = 0; | |
| var i = 0; | |
| while(numberKill < n) { | |
| numberKill++; | |
| if(numberKill === n) {break;} | |
| guys[i] = true; | |
| while(guys[i]) { | |
| i = (i+1) % n; | |
| } | |
| i = (i+1) % n; | |
| while(guys[i]) { | |
| i = (i+1) % n; | |
| } | |
| } | |
| i++; | |
| result.push({x:n, y:i}); | |
| var position = 2 * ( n - Math.pow(2, Math.floor( Math.log(n)/Math.log(2) ))); | |
| $("#results").append("<li>" + n + " : " + i + " - " + position + "</li>"); | |
| }; | |
| for(var j = 1; j < 1000; j++) { | |
| killThem(j); | |
| } | |
| // ploting | |
| var graph = new Rickshaw.Graph( { | |
| element: document.getElementById("chart"), | |
| width: 960, | |
| height: 500, | |
| renderer: 'scatterplot', | |
| series: [ | |
| { | |
| color: "#ff9030", | |
| data: result, | |
| } | |
| ] | |
| } ); | |
| graph.renderer.dotSize = 3; | |
| graph.render(); | |
| </script> | |
| </html> |
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