Simulation of the March 17 riddler classic from https://fivethirtyeight.com/features/can-you-find-the-honest-prince/
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March 20, 2017 16:15
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Domestic Boundaries Puzzle
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<!DOCTYPE html> | |
<html> | |
<head> | |
<meta charset='utf-8'> | |
<title>Riddler March 17th</title> | |
</head> | |
<body> | |
<div id="ranches"></div> | |
<script src='http://d3js.org/d3.v3.min.js'></script> | |
<script> | |
var width = 600; | |
var height = 600; | |
var time_to_draw = 280; | |
var total_time = 0; | |
var convex_ct = 0; | |
var nonconvex_ct = 0; | |
var randomPoint = function(quadrant) { | |
var minX = 0; | |
var minY = 0; | |
if (quadrant % 2 !== 0) { | |
minX = width / 2; | |
} | |
if (quadrant > 2) { | |
minY = height / 2; | |
} | |
return { | |
x: Math.random() * width / 2 + minX, | |
y: Math.random() * height / 2 + minY | |
} | |
} | |
var isConvex = function(points) { | |
var p = [...points] | |
p.push(p[1]) | |
for (var i = 0; i < points.length - 1; i++){ | |
var dx1 = p[i + 1].x - p[i].x | |
var dy1 = p[i + 1].y - p[i].y | |
var dx2 = p[i + 2].x - p[i + 1].x | |
var dy2 = p[i + 2].y - p[i + 1].y | |
if (dx1 * dy2 - dy1 * dx2 < 0) { | |
return false | |
} | |
} | |
return true | |
} | |
var square_color = 'blue' | |
var svg = d3.select('#ranches').append('svg') | |
.attr('width', width + 200) | |
.attr('height', height) | |
svg.append('rect') | |
.attr('x', 0) | |
.attr('y', 0) | |
.attr('width', width) | |
.attr('height', height) | |
.attr('stroke', square_color) | |
.attr('fill', 'transparent') | |
svg.append('line') | |
.attr('x1', width / 2) | |
.attr('y1', 0) | |
.attr('x2', width / 2) | |
.attr('y2', height) | |
.attr('stroke', square_color) | |
svg.append('line') | |
.attr('x1', 0) | |
.attr('y1', height / 2) | |
.attr('x2', width) | |
.attr('y2', height / 2) | |
.attr('stroke', square_color) | |
var convexCount = svg.append('text') | |
.attr('x', width + 30) | |
.attr('y', 30) | |
.attr('fill', 'green') | |
.attr('font-size', 20) | |
// .classed('dataChoose', true) | |
.text(function(d) { return "Convex: 0" }) | |
var nonconvexCount = svg.append('text') | |
.attr('x', width + 30) | |
.attr('y', 60) | |
.attr('fill', 'red') | |
.attr('font-size', 20) | |
// .classed('dataChoose', true) | |
.text("Non-convex: 0") | |
var probConvex = svg.append('text') | |
.attr('x', width + 30) | |
.attr('y', 90) | |
.attr('font-size', 20) | |
.attr('fill', 'blue') | |
// .classed('dataChoose', true) | |
.text("Probability: ") | |
var line = d3.svg.line() | |
.interpolate('linear') | |
.x(function(d) { return d.x; }) | |
.y(function(d) { return d.y; }) | |
for (var i = 0; i < 1000; i++){ | |
var points = [2, 1, 3, 4].map(randomPoint) | |
points.push(points[0]) | |
var path = svg.append('path') | |
.attr('d', line(points)) | |
.attr("stroke", 'black') | |
.attr("stroke-width", "2") | |
.attr("fill", "none"); | |
var totalLength = path.node().getTotalLength(); | |
path.attr("stroke-dasharray", totalLength + " " + totalLength) | |
.attr("stroke-dashoffset", totalLength) | |
.transition() | |
.delay(total_time) | |
.duration(time_to_draw) | |
.ease("linear") | |
.attr("stroke-dashoffset", 0); | |
var convex = isConvex(points); | |
if (convex) { | |
convex_ct += 1; | |
convexCount.transition() | |
.delay(total_time + time_to_draw) | |
.duration(time_to_draw) | |
.text(`Convex: ${convex_ct}`) | |
} | |
else { | |
nonconvex_ct += 1; | |
nonconvexCount.transition() | |
.delay(total_time + time_to_draw) | |
.duration(time_to_draw) | |
.text(`Non-convex: ${nonconvex_ct}`) | |
} | |
probConvex.transition() | |
.delay(total_time + time_to_draw) | |
.duration(time_to_draw) | |
.text(`Probability: ${(convex_ct / (convex_ct + nonconvex_ct)).toFixed(3)}`) | |
path.transition() | |
.delay(total_time + time_to_draw) | |
.duration(time_to_draw) | |
.attr('stroke', convex ? 'green' : 'red') | |
.attr('opacity', 1) | |
path.transition() | |
.delay(total_time + time_to_draw + time_to_draw) | |
.duration(time_to_draw) | |
.attr('opacity', .1) | |
total_time += time_to_draw; | |
} | |
</script> | |
</body> |
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