<p>Given an array <code>nums</code> which consists of non-negative integers and an integer <code>m</code>, you can split the array into <code>m</code> non-empty continuous subarrays.</p>

<p>Write an algorithm to minimize the largest sum among these <code>m</code> subarrays.</p>

<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>

<pre>
<strong>Input:</strong> nums = [7,2,5,10,8], m = 2
<strong>Output:</strong> 18
<strong>Explanation:</strong>
There are four ways to split nums into two subarrays.
The best way is to split it into [7,2,5] and [10,8],
where the largest sum among the two subarrays is only 18.
</pre>

<p><strong>Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [1,2,3,4,5], m = 2
<strong>Output:</strong> 9
</pre>

<p><strong>Example 3:</strong></p>

<pre>
<strong>Input:</strong> nums = [1,4,4], m = 3
<strong>Output:</strong> 4
</pre>

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

<ul>
	<li><code>1 &lt;= nums.length &lt;= 1000</code></li>
	<li><code>0 &lt;= nums[i] &lt;= 10<sup>6</sup></code></li>
	<li><code>1 &lt;= m &lt;= min(50, nums.length)</code></li>
</ul>