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"question": {
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"categoryTitle": "Algorithms",
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"title": "Form Largest Integer With Digits That Add up to Target",
"titleSlug": "form-largest-integer-with-digits-that-add-up-to-target",
"content": "<p>Given an array of integers <code>cost</code> and an integer <code>target</code>, return <em>the <strong>maximum</strong> integer you can paint under the following rules</em>:</p>\n\n<ul>\n\t<li>The cost of painting a digit <code>(i + 1)</code> is given by <code>cost[i]</code> (<strong>0-indexed</strong>).</li>\n\t<li>The total cost used must be equal to <code>target</code>.</li>\n\t<li>The integer does not have <code>0</code> digits.</li>\n</ul>\n\n<p>Since the answer may be very large, return it as a string. If there is no way to paint any integer given the condition, return <code>&quot;0&quot;</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [4,3,2,5,6,7,2,5,5], target = 9\n<strong>Output:</strong> &quot;7772&quot;\n<strong>Explanation:</strong> The cost to paint the digit &#39;7&#39; is 2, and the digit &#39;2&#39; is 3. Then cost(&quot;7772&quot;) = 2*3+ 3*1 = 9. You could also paint &quot;977&quot;, but &quot;7772&quot; is the largest number.\n<strong>Digit cost</strong>\n 1 -&gt; 4\n 2 -&gt; 3\n 3 -&gt; 2\n 4 -&gt; 5\n 5 -&gt; 6\n 6 -&gt; 7\n 7 -&gt; 2\n 8 -&gt; 5\n 9 -&gt; 5\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [7,6,5,5,5,6,8,7,8], target = 12\n<strong>Output:</strong> &quot;85&quot;\n<strong>Explanation:</strong> The cost to paint the digit &#39;8&#39; is 7, and the digit &#39;5&#39; is 5. Then cost(&quot;85&quot;) = 7 + 5 = 12.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [2,4,6,2,4,6,4,4,4], target = 5\n<strong>Output:</strong> &quot;0&quot;\n<strong>Explanation:</strong> It is impossible to paint any integer with total cost equal to target.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>cost.length == 9</code></li>\n\t<li><code>1 &lt;= cost[i], target &lt;= 5000</code></li>\n</ul>\n",
"translatedTitle": "数位成本和为目标值的最大数字",
"translatedContent": "<p>给你一个整数数组 <code>cost</code> 和一个整数 <code>target</code> 。请你返回满足如下规则可以得到的 <strong>最大</strong> 整数:</p>\n\n<ul>\n\t<li>给当前结果添加一个数位(<code>i + 1</code>)的成本为 <code>cost[i]</code> <code>cost</code> 数组下标从 0 开始)。</li>\n\t<li>总成本必须恰好等于 <code>target</code> 。</li>\n\t<li>添加的数位中没有数字 0 。</li>\n</ul>\n\n<p>由于答案可能会很大,请你以字符串形式返回。</p>\n\n<p>如果按照上述要求无法得到任何整数,请你返回 \"0\" 。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>cost = [4,3,2,5,6,7,2,5,5], target = 9\n<strong>输出:</strong>\"7772\"\n<strong>解释:</strong>添加数位 '7' 的成本为 2 ,添加数位 '2' 的成本为 3 。所以 \"7772\" 的代价为 2*3+ 3*1 = 9 。 \"977\" 也是满足要求的数字,但 \"7772\" 是较大的数字。\n<strong> 数字 成本</strong>\n 1 -> 4\n 2 -> 3\n 3 -> 2\n 4 -> 5\n 5 -> 6\n 6 -> 7\n 7 -> 2\n 8 -> 5\n 9 -> 5\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>cost = [7,6,5,5,5,6,8,7,8], target = 12\n<strong>输出:</strong>\"85\"\n<strong>解释:</strong>添加数位 '8' 的成本是 7 ,添加数位 '5' 的成本是 5 。\"85\" 的成本为 7 + 5 = 12 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>cost = [2,4,6,2,4,6,4,4,4], target = 5\n<strong>输出:</strong>\"0\"\n<strong>解释:</strong>总成本是 target 的条件下,无法生成任何整数。\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre>\n<strong>输入:</strong>cost = [6,10,15,40,40,40,40,40,40], target = 47\n<strong>输出:</strong>\"32211\"\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>cost.length == 9</code></li>\n\t<li><code>1 <= cost[i] <= 5000</code></li>\n\t<li><code>1 <= target <= 5000</code></li>\n</ul>\n",
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"Use dynamic programming to find the maximum digits to paint given a total cost.",
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