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You are given two rectangles <code>a</code> and <code>b</code> each defined by four ordered pairs denoting their corners on the <code>x</code>, <code>y</code> plane. Write a function <code>rectangle_overlap</code> to determine whether or not they overlap. Return <code>True</code> if so, and <code>False</code> otherwise.

Note: If the two rectangles border one another, or share a corner like two diagonally adjacent positions on a chessboard, they are said to overlap.

Note: The lists of ordered pairs are in no particular order. The first entry in list <code>a</code> could be the top left corner while the first in list <code>b</code> is the bottom right.

Example:

Input:

<pre tabindex="0" class="chroma"><code>
a = [(-3,5), (-3,2),(0,5),(0,2)]
b = [(-1,4), (3,4), (3,1), (-1,1)]
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>def rectangle_overlap(a, b) -&gt; True
</code></pre>

As point <code>(0,2)</code> is fully contained in rectangle <code>b</code> and point <code>(-1,4)</code> is fully contained in a rectangle <code>a</code>.

Write a function to determine whether or not two rectangles overlap.

Rectangle Overlap

We’re given an ascending string of integers that represents page numbers.

Write a function <code>get_last_page</code> to return the last page number in the string. If the string of integers is not in the correct page order, return the last number in order.

Example 1:

Input:

<pre tabindex="0" class="chroma"><code>input = &#39;12345&#39;
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>output = 5
</code></pre>

Example 2:

Input:

<pre tabindex="0" class="chroma"><code>input = &#39;12345678910111213&#39;
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>output = 13
</code></pre>

Example 3:

Input:

<pre tabindex="0" class="chroma"><code>input = &#39;1235678&#39;
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>output = 3
</code></pre>

Last Page Number

Let’s say we have 1 million app rider journey trips in the city of Seattle. We want to build a model to predict ETA after a rider makes a ride request.

How would we know if we have enough data to create an accurate enough model?

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