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Given an (integer) height <code>h</code> and base <code>b</code>, write a function <code>draw_isosceles_triangle</code> that returns the shape of the isosceles triangle using (a 2D list) of <code>0</code>s and <code>1</code>s, where <code>0</code> and <code>1</code> represent the space outside and inside of the triangle, respectively.

If the given height <code>h</code> and base <code>b</code> cannot make a triangle, return <code>None</code>.

Note: Valid arguments for <code>b</code> should be odd

Example 1

Input:

<pre tabindex="0" class="chroma"><code>h = 2
b = 3
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>draw_isosceles_triangle(h,b) -&gt; [
 [0,1,0],
 [1,1,1]
]
</code></pre>

Example 2

Input:

<pre tabindex="0" class="chroma"><code>h = 3
b = 9
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>draw_isosceles_triangle(h,b) -&gt; [
 [0,0,0,0,1,0,0,0,0],
 [0,0,1,1,1,1,1,0,0],
 [1,1,1,1,1,1,1,1,1]
]
</code></pre>

Example 3

Input:

<pre tabindex="0" class="chroma"><code>h = 5
b = 9
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>draw_isosceles_triangle(h,b) -&gt; [
 [0,0,0,0,1,0,0,0,0],
 [0,0,0,1,1,1,0,0,0],
 [0,0,1,1,1,1,1,0,0],
 [0,1,1,1,1,1,1,1,0],
 [1,1,1,1,1,1,1,1,1] 
]
</code></pre>

Example 4

Input:

<pre tabindex="0" class="chroma"><code>h = 9
b = 9
</code></pre>

Output:

<pre tabindex="0" class="chroma"><code>draw_isosceles_triangle(h,b) -&gt; None
</code></pre>

Write a function that returns the shape of an isosceles triangle.

Triangle as Binary Array

Let’s say we have a table with an <code>id</code> and <code>name</code> fields. The table holds over 100 million rows and we want to sample a random row in the table without throttling the database.

Write a query to randomly sample a row from this table.

Input:

<code>big_table</code> table

<table>
<thead>
<tr>
<th>Columns</th>
<th>Type</th>
</tr>
</thead>

<tbody>
<tr>
<td><code>id</code></td>
<td>INTEGER</td>
</tr>

<tr>
<td><code>name</code></td>
<td>VARCHAR</td>
</tr>
</tbody>
</table>

Write a query to randomly sample a row from a big table.

Random SQL Sample

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

What is a key disadvantage of the F-test when compared to multiple t-tests?

What is a key disadvantage of the F-test when compared to multiple t-tests?

Hundreds of Hypotheses

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

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