009.html

<html>
<head>
<title>JavaScript</title>
</head>
<body>


<script language="JavaScript" type="text/javascript">


function maxA(targetSum) {
	return (Math.floor(targetSum / 3) - 1);
}

function maxB(targetSum) {
	return Math.ceil(((targetSum - 1) / 2) - 1);
}

function minC(targetSum) {
	return Math.ceil((targetSum / 3) + 1);
}

function main(targetSum) {
	var myMaxB = maxB(targetSum);
	
	for (var c = minC(targetSum); c <= (targetSum - 3); c++) {
		for (var a = maxA(targetSum); a > 0; a--) {
			var b = Math.sqrt(Math.pow(c, 2) - Math.pow(a, 2));
			
			if (!isInt(b)) { continue; }
			
			if ((a + b + c) == targetSum) {
				return [a, b, c];
			}
		}
	}
}

function isInt(x) {
	
	if (Math.floor(x) == x) { return true; }
		return false;
}

main(1000);

</script>
</body>
</html>