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<!DOCTYPE html> | |
<html lang="en"> | |
<head> | |
<meta charset="UTF-8"> | |
<meta name="viewport" content="width=device-width, initial-scale=1.0"> | |
<meta http-equiv="X-UA-Compatible" content="ie=edge"> | |
<title>kgg</title> | |
<style> | |
body { | |
display: flex; | |
flex-flow: column; | |
align-items: center; | |
justify-content: center; | |
} | |
#canvas { | |
display: block; | |
margin-bottom: 10px; | |
background: #eee; | |
} | |
</style> | |
</head> | |
<body> | |
<canvas id=canvas width=512 height=512></canvas> | |
<div> | |
<button onclick="generate(3)">generate [N=3]</button> | |
<button onclick="generate(4)">generate [N=4]</button> | |
<button onclick="generate(5)">generate [N=5]</button> | |
<button onclick="generate(6)">generate [N=6]</button> | |
<button onclick="generate(7)">generate [N=7]</button> | |
<button onclick="generate(8)">generate [N=8]</button> | |
<button onclick="solveShuffle()">solve</button> | |
</div> | |
<script> | |
var canvas = document.getElementById('canvas') | |
var ctx = canvas.getContext('2d') | |
var currentPoints = [] | |
var currentN = 0 | |
var solved = false | |
var solving = false | |
var deltaRedraw = 60 | |
var maxRandomSolve = 3000 | |
var maxRandomSolveMult = 250 | |
function randInt(min, max) { | |
return Math.round(Math.random() * (max - min)) + min | |
} | |
function generate(n) { | |
if (solving) return | |
var newPoints = [] | |
for (var i = 0; i < 3 * n; i++) { | |
newPoints.push(randomPoint()) | |
} | |
solved = false | |
currentPoints = newPoints | |
currentN = n | |
maxRandomSolve = maxRandomSolveMult * n | |
drawPoints(newPoints, n, false) | |
} | |
function shuffle(a) { | |
var j, x, i; | |
for (i = a.length - 1; i > 0; i--) { | |
j = Math.floor(Math.random() * (i + 1)) | |
x = a[i] | |
a[i] = a[j] | |
a[j] = x | |
} | |
return a | |
} | |
function checkSolved(points, n) { | |
var outsides = 0 | |
var insides = 0 | |
for (var point = n; point < points.length; point++) { | |
var px = points[point][0] | |
var py = points[point][1] | |
var inside = false | |
for (var i = 0, j = n - 1; i < n; j = i++) { | |
var ix = points[i][0] | |
var iy = points[i][1] | |
var jx = points[j][0] | |
var jy = points[j][1] | |
if ((iy > py) != (jy > py) && px < (jx - ix) * (py - iy) / (jy - iy) + ix) { | |
inside = !inside | |
} | |
} | |
if (inside) insides++ | |
else outsides++ | |
if (outsides > n || insides > n) return false | |
} | |
return true | |
} | |
async function solveShuffle() { | |
if (solved || solving) return | |
solving = true | |
var firstTime = Date.now() | |
try { | |
var lastTime = Date.now() | |
for (var i = 1; !solved; i++) { | |
if (Date.now() - firstTime > maxRandomSolve) { | |
alert('No solution') | |
drawPoints(currentPoints, currentN, false) | |
break | |
} | |
solved = checkSolved(currentPoints, currentN) | |
var needRedraw = solved || (Date.now() - lastTime) > deltaRedraw | |
if (needRedraw) { | |
await new Promise(res => requestAnimationFrame(res)) | |
drawPoints(currentPoints, currentN, true) | |
lastTime = Date.now() | |
} | |
if (!solved) shuffle(currentPoints) | |
} | |
} finally { | |
solving = false | |
} | |
} | |
function randomPoint() { | |
return [randInt(0, canvas.width), randInt(0, canvas.height)] | |
} | |
function drawPoints(points, n, shouldDrawEdges) { | |
ctx.clearRect(0, 0, canvas.width, canvas.height) | |
ctx.fillStyle = 'blue' | |
if (shouldDrawEdges) { | |
ctx.beginPath() | |
ctx.moveTo(points[0][0], points[0][1]) | |
for (var i = 1; i < n; i++) { | |
ctx.lineTo(points[i][0], points[i][1]) | |
} | |
ctx.closePath() | |
ctx.fillStyle = 'gray' | |
ctx.fill() | |
ctx.fillStyle = 'red' | |
} | |
for (var i = 0; i < n; i++) { | |
ctx.beginPath() | |
ctx.arc(points[i][0], points[i][1], 2, 0, 2 * Math.PI, false) | |
ctx.fill() | |
} | |
ctx.fillStyle = 'blue' | |
for (var i = n; i < points.length; i++) { | |
ctx.beginPath() | |
ctx.arc(points[i][0], points[i][1], 2, 0, 2 * Math.PI, false) | |
ctx.fill() | |
} | |
} | |
</script> | |
</body> | |
</html> |
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