<p>Given four integers <code>length</code>, <code>width</code>, <code>height</code>, and <code>mass</code>, representing the dimensions and mass of a box, respectively, return <em>a string representing the <strong>category</strong> of the box</em>.</p>

<ul>
	<li>The box is <code>&quot;Bulky&quot;</code> if:

	<ul>
		<li><strong>Any</strong> of the dimensions of the box is greater or equal to <code>10<sup>4</sup></code>.</li>
		<li>Or, the <strong>volume</strong> of the box is greater or equal to <code>10<sup>9</sup></code>.</li>
	</ul>
	</li>
	<li>If the mass of the box is greater or equal to <code>100</code>, it is <code>&quot;Heavy&quot;.</code></li>
	<li>If the box is both <code>&quot;Bulky&quot;</code> and <code>&quot;Heavy&quot;</code>, then its category is <code>&quot;Both&quot;</code>.</li>
	<li>If the box is neither <code>&quot;Bulky&quot;</code> nor <code>&quot;Heavy&quot;</code>, then its category is <code>&quot;Neither&quot;</code>.</li>
	<li>If the box is <code>&quot;Bulky&quot;</code> but not <code>&quot;Heavy&quot;</code>, then its category is <code>&quot;Bulky&quot;</code>.</li>
	<li>If the box is <code>&quot;Heavy&quot;</code> but not <code>&quot;Bulky&quot;</code>, then its category is <code>&quot;Heavy&quot;</code>.</li>
</ul>

<p><strong>Note</strong> that the volume of the box is the product of its length, width and height.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> length = 1000, width = 35, height = 700, mass = 300
<strong>Output:</strong> &quot;Heavy&quot;
<strong>Explanation:</strong> 
None of the dimensions of the box is greater or equal to 10<sup>4</sup>. 
Its volume = 24500000 &lt;= 10<sup>9</sup>. So it cannot be categorized as &quot;Bulky&quot;.
However mass &gt;= 100, so the box is &quot;Heavy&quot;.
Since the box is not &quot;Bulky&quot; but &quot;Heavy&quot;, we return &quot;Heavy&quot;.</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> length = 200, width = 50, height = 800, mass = 50
<strong>Output:</strong> &quot;Neither&quot;
<strong>Explanation:</strong> 
None of the dimensions of the box is greater or equal to 10<sup>4</sup>.
Its volume = 8 * 10<sup>6</sup> &lt;= 10<sup>9</sup>. So it cannot be categorized as &quot;Bulky&quot;.
Its mass is also less than 100, so it cannot be categorized as &quot;Heavy&quot; either. 
Since its neither of the two above categories, we return &quot;Neither&quot;.</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= length, width, height &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= mass &lt;= 10<sup>3</sup></code></li>
</ul>

class Solution:
    def categorizeBox(self, length: int, width: int, height: int, mass: int) -> str:
        Bulky = False
        Heavy = False
        if length * width * height >= 10**9 or length>= 10**4 or width>= 10**4 or height>= 10**4:
            Bulky = True
        if mass >= 100:
            Heavy = True
        if Bulky and Heavy:
            return "Both"
        elif Bulky != Heavy:
             if Bulky == True:
                return "Bulky"
             if Heavy == True:
                return "Heavy"
        else:
            return "Neither"

30