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            "title": "Paint House III",
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            "content": "<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>\n\n<p>A neighborhood is a maximal group of continuous houses that are painted with the same color.</p>\n\n<ul>\n\t<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>\n</ul>\n\n<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>\n\n<ul>\n\t<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>\n\t<li><code>cost[i][j]</code>: is the cost of paint the house <code>i</code> with the color <code>j + 1</code>.</li>\n</ul>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<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\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> Paint houses of this way [1,2,2,1,1]\nThis array contains target = 3 neighborhoods, [{1}, {2,2}, {1,1}].\nCost of paint all houses (1 + 1 + 1 + 1 + 5) = 9.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<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\n<strong>Output:</strong> 11\n<strong>Explanation:</strong> Some houses are already painted, Paint the houses of this way [2,2,1,2,2]\nThis array contains target = 3 neighborhoods, [{2,2}, {1}, {2,2}]. \nCost of paint the first and last house (10 + 1) = 11.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<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\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> Houses are already painted with a total of 4 neighborhoods [{3},{1},{2},{3}] different of target = 3.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == houses.length == cost.length</code></li>\n\t<li><code>n == cost[i].length</code></li>\n\t<li><code>1 &lt;= m &lt;= 100</code></li>\n\t<li><code>1 &lt;= n &lt;= 20</code></li>\n\t<li><code>1 &lt;= target &lt;= m</code></li>\n\t<li><code>0 &lt;= houses[i] &lt;= n</code></li>\n\t<li><code>1 &lt;= cost[i][j] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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                    "code": "impl Solution {\n    pub fn min_cost(houses: Vec<i32>, cost: Vec<Vec<i32>>, m: i32, n: i32, target: i32) -> i32 {\n        \n    }\n}",
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                "Define dp[i][j][k] as the minimum cost where we have k neighborhoods in the first i houses and the i-th house is painted with the color j."
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