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| 1 | +<p>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.</p> |
| 2 | + |
| 3 | +<p>Implement the <code>Solution</code> class:</p> |
| 4 | + |
| 5 | +<ul> |
| 6 | + <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> |
| 7 | + <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> |
| 8 | +</ul> |
| 9 | + |
| 10 | +<p> </p> |
| 11 | +<p><strong class="example">Example 1:</strong></p> |
| 12 | + |
| 13 | +<pre> |
| 14 | +<strong>Input</strong> |
| 15 | +["Solution", "randPoint", "randPoint", "randPoint"] |
| 16 | +[[1.0, 0.0, 0.0], [], [], []] |
| 17 | +<strong>Output</strong> |
| 18 | +[null, [-0.02493, -0.38077], [0.82314, 0.38945], [0.36572, 0.17248]] |
| 19 | + |
| 20 | +<strong>Explanation</strong> |
| 21 | +Solution solution = new Solution(1.0, 0.0, 0.0); |
| 22 | +solution.randPoint(); // return [-0.02493, -0.38077] |
| 23 | +solution.randPoint(); // return [0.82314, 0.38945] |
| 24 | +solution.randPoint(); // return [0.36572, 0.17248] |
| 25 | +</pre> |
| 26 | + |
| 27 | +<p> </p> |
| 28 | +<p><strong>Constraints:</strong></p> |
| 29 | + |
| 30 | +<ul> |
| 31 | + <li><code>0 < radius <= 10<sup>8</sup></code></li> |
| 32 | + <li><code>-10<sup>7</sup> <= x_center, y_center <= 10<sup>7</sup></code></li> |
| 33 | + <li>At most <code>3 * 10<sup>4</sup></code> calls will be made to <code>randPoint</code>.</li> |
| 34 | +</ul> |
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