<p>You have <code>n</code> super washing machines on a line. Initially, each washing machine has some dresses or is empty.</p>

<p>For each move, you could choose any <code>m</code> (<code>1 &lt;= m &lt;= n</code>) washing machines, and pass one dress of each washing machine to one of its adjacent washing machines at the same time.</p>

<p>Given an integer array <code>machines</code> representing the number of dresses in each washing machine from left to right on the line, return <em>the minimum number of moves to make all the washing machines have the same number of dresses</em>. If it is not possible to do it, return <code>-1</code>.</p>

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

<pre>
<strong>Input:</strong> machines = [1,0,5]
<strong>Output:</strong> 3
<strong>Explanation:</strong>
1st move:    1     0 &lt;-- 5    =&gt;    1     1     4
2nd move:    1 &lt;-- 1 &lt;-- 4    =&gt;    2     1     3
3rd move:    2     1 &lt;-- 3    =&gt;    2     2     2
</pre>

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

<pre>
<strong>Input:</strong> machines = [0,3,0]
<strong>Output:</strong> 2
<strong>Explanation:</strong>
1st move:    0 &lt;-- 3     0    =&gt;    1     2     0
2nd move:    1     2 --&gt; 0    =&gt;    1     1     1
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> machines = [0,2,0]
<strong>Output:</strong> -1
<strong>Explanation:</strong>
It&#39;s impossible to make all three washing machines have the same number of dresses.
</pre>

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

<ul>
	<li><code>n == machines.length</code></li>
	<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>
	<li><code>0 &lt;= machines[i] &lt;= 10<sup>5</sup></code></li>
</ul>

class Solution:
    def findMinMoves(self, machines: List[int]) -> int:
        ave, rem = divmod(sum(machines),len(machines))    # <– 1.
        if rem: return -1                                 #
        
        machines = [m - ave for m in machines]            # <– 2.

        return max(max(machines),                         # <– 3.
                   max(map(abs,(accumulate(machines)))))  # <– 4.        
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