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+<h2><a href="https://leetcode.com/problems/paint-house-iii/">1473. Paint House III</a></h2><h3>Hard</h3><hr><div><p>There is a row of <code>m</code> houses in a small city, each house must be painted with one of the <code>n</code> colors (labeled from <code>1</code> to <code>n</code>), some houses that have been painted last summer should not be painted again.</p>
+
+<p>A neighborhood is a maximal group of continuous houses that are painted with the same color.</p>
+
+<ul>
+	<li>For example: <code>houses = [1,2,2,3,3,2,1,1]</code> contains <code>5</code> neighborhoods <code>[{1}, {2,2}, {3,3}, {2}, {1,1}]</code>.</li>
+</ul>
+
+<p>Given an array <code>houses</code>, an <code>m x n</code> matrix <code>cost</code> and an integer <code>target</code> where:</p>
+
+<ul>
+	<li><code>houses[i]</code>: is the color of the house <code>i</code>, and <code>0</code> if the house is not painted yet.</li>
+	<li><code>cost[i][j]</code>: is the cost of paint the house <code>i</code> with the color <code>j + 1</code>.</li>
+</ul>
+
+<p>Return <em>the minimum cost of painting all the remaining houses in such a way that there are exactly</em> <code>target</code> <em>neighborhoods</em>. If it is not possible, return <code>-1</code>.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre><strong>Input:</strong> houses = [0,0,0,0,0], cost = [[1,10],[10,1],[10,1],[1,10],[5,1]], m = 5, n = 2, target = 3
+<strong>Output:</strong> 9
+<strong>Explanation:</strong> Paint houses of this way [1,2,2,1,1]
+This array contains target = 3 neighborhoods, [{1}, {2,2}, {1,1}].
+Cost of paint all houses (1 + 1 + 1 + 1 + 5) = 9.
+</pre>
+
+<p><strong>Example 2:</strong></p>
+
+<pre><strong>Input:</strong> houses = [0,2,1,2,0], cost = [[1,10],[10,1],[10,1],[1,10],[5,1]], m = 5, n = 2, target = 3
+<strong>Output:</strong> 11
+<strong>Explanation:</strong> Some houses are already painted, Paint the houses of this way [2,2,1,2,2]
+This array contains target = 3 neighborhoods, [{2,2}, {1}, {2,2}]. 
+Cost of paint the first and last house (10 + 1) = 11.
+</pre>
+
+<p><strong>Example 3:</strong></p>
+
+<pre><strong>Input:</strong> houses = [3,1,2,3], cost = [[1,1,1],[1,1,1],[1,1,1],[1,1,1]], m = 4, n = 3, target = 3
+<strong>Output:</strong> -1
+<strong>Explanation:</strong> Houses are already painted with a total of 4 neighborhoods [{3},{1},{2},{3}] different of target = 3.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>m == houses.length == cost.length</code></li>
+	<li><code>n == cost[i].length</code></li>
+	<li><code>1 &lt;= m &lt;= 100</code></li>
+	<li><code>1 &lt;= n &lt;= 20</code></li>
+	<li><code>1 &lt;= target &lt;= m</code></li>
+	<li><code>0 &lt;= houses[i] &lt;= n</code></li>
+	<li><code>1 &lt;= cost[i][j] &lt;= 10<sup>4</sup></code></li>
+</ul>
+</div>