generate-random-point-in-a-circle

Generate Random Point in a Circle

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Given the radius and the position of the center of a circle, implement the function <code>randPoint</code> which generates a uniform random point inside the circle.

Implement the <code>Solution</code> class:

<ul>
	<li><code>Solution(double radius, double x_center, double y_center)</code> initializes the object with the radius of the circle <code>radius</code> and the position of the center <code>(x_center, y_center)</code>.</li>
	<li><code>randPoint()</code> returns a random point inside the circle. A point on the circumference of the circle is considered to be in the circle. The answer is returned as an array <code>[x, y]</code>.</li>
</ul>

&nbsp;
Example 1:

<pre>
Input
[&quot;Solution&quot;, &quot;randPoint&quot;, &quot;randPoint&quot;, &quot;randPoint&quot;]
[[1.0, 0.0, 0.0], [], [], []]
Output
[null, [-0.02493, -0.38077], [0.82314, 0.38945], [0.36572, 0.17248]]

Explanation
Solution solution = new Solution(1.0, 0.0, 0.0);
solution.randPoint(); // return [-0.02493, -0.38077]
solution.randPoint(); // return [0.82314, 0.38945]
solution.randPoint(); // return [0.36572, 0.17248]
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>0 &lt;&nbsp;radius &lt;= 108</code></li>
	<li><code>-107 &lt;= x_center, y_center &lt;= 107</code></li>
	<li>At most <code>3 * 104</code> calls will be made to <code>randPoint</code>.</li>
</ul>

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