"Coordinate Planes"
In math, a Cartesian plane is most commonly known as an X,Y graph. This graph has 4 quadrants. Here is the listing for the Quadrants and the relation to the (x,y) pair:
Quad. II: (-x, y)
Quad. III: (-x, -y)
Quad. IV: (x, -y)
The pair (3, -5) lies in Quardant IV.
The pair (3, 3) lies in Quard. I
Given an input file of 1000 randomly generated x, y pairs (plane.txt), how many of those pairs lie in Quadrant III?
This is fairly simple once you understand it. First get a copy of the text file (for my script it requires cURL) then split it up and itterate over each value pair. If both numbers are negative (in quadrant 3) add a hit to the result counter.
Awnser:
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, ) ( , ) (Q3 = 0
Source:
function fetch($url,$post=false,$cookie=false,$timeout=30){
$ch = curl_init();
curl_setopt($ch, CURLOPT_URL, $url);
if ($cookie) {
curl_setopt($ch, CURLOPT_COOKIEJAR, $cookie);
curl_setopt($ch, CURLOPT_COOKIEFILE, $cookie);
}
if ($post) {
curl_setopt($ch, CURLOPT_POSTFIELDS, $post);
curl_setopt($ch, CURLOPT_POST, TRUE);
}
curl_setopt($ch, CURLOPT_TIMEOUT, $timeout);
curl_setopt($ch, CURLOPT_RETURNTRANSFER, TRUE);
curl_setopt($ch, CURLOPT_USERAGENT, "Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.8.1.6) Gecko/20070725 Firefox/2.0.0.6");
curl_setopt($ch, CURLOPT_FOLLOWLOCATION, TRUE);
$output=curl_exec($ch);
curl_close($ch);
return $output;
}
function solution(){
$result = 0;
$list = fetch('http://www.cstutoringcenter.com/problems/files/plane.txt');
$lines = explode("\n", $list);
foreach($lines as $coord) {
$color = "red";
$quad = explode(",", $coord);
if(($quad[0] < 0)&&($quad[1] < 0)){
$result++;
$color = "lightgreen";
}
echo "<small><font style=\"color:".$color.";\"> (".$quad[0].", ".$quad[1].") </font></small>";
}
echo "<br /><strong>Q3 = ".$result."</strong>";
}