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<html>
<head>
<title>Online PHP Script Execution</title>
</head>
<body>
<?php
class Point {

    public $x;
    public $y;

    function __construct($x, $y) {
        $this->$x = $x;
        $this->$y = $y;
    }

    function distanceTo($point) {
        $x2 = ($this->$x - $point->$x) * ($this->$x - $point->$x);
        $y2 = ($this->$y - $point->$y) * ($this->$y - $point->$y);
        return $x2 + $y2;
    }

}

class Optimization {

    public $points;
    public $fixed;

    function __construct($array) {
        $points = $array;
        $fixed = array(
            new Point(-1, 1),
            new Point(0, 1),
            new Point(1, 1),
            new Point(-1, 0),
            new Point(0, 0),
            new Point(1, 0),
            new Point(-1, -1),
            new Point(0, -1),
            new Point(1, -1)
        );
    }

    function calcDistance() {
        $distance = 0;
        for ($i = 0; $i < 9; $i++) {
            $distance += $points[$i]->distanceTo($fixed[$i]);
        }
        return $distance;
    }

    function go() {
        $min = 10000;
        for ($i = 0; $i < 9; $i++) {
            $d = $this->calcDistance();
            if ($d < $min) {
                $min = $d;
            }
            $points = next_permutation($points);
        }

    }

    function swap($elements, $i, $j) {
        $temp = $elements[$i];
        $elements[$i] = $elements[$j];
        $elements[$j] = $temp;
    }

    function reverse($elements, $i, $j) {
        for ($x = 0; $x < (int)$j/2; $x++) {
            swap($elements, $i+$x, $j-$x);
        }
    }

    function next_permutation($elements) {
        $i = 7;
        while (i >= 0 && $elements[$i] < $elements[$i+1]) {
            $i--;
        }

        if ($i < 0) {
            reverse($elements, 0, 8);
        } else {
            $j = 8;
            while ($j > $i + 1 && $elements[$j] <= $elements[$i]) {
                $j--;
            }
            swap($elements, $i, $j);
            reverse($elements, $i + 1, 8);
        }
        return $elements;
    }

}

$points = array(
        new Point(-1, 1),
        new Point(0, 1),
        new Point(1, 1),
        new Point(-1, 0),
        new Point(0, 0),
        new Point(1, 0),
        new Point(-1, -1),
        new Point(0, -1),
        new Point(1, -1)
    );

$o = new Optimization($points);
$o->go();

?>
</body>
</html>