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"question": {
"questionId": "1930",
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"categoryTitle": "Algorithms",
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"title": "Maximum Number of Consecutive Values You Can Make",
"titleSlug": "maximum-number-of-consecutive-values-you-can-make",
"content": "<p>You are given an integer array <code>coins</code> of length <code>n</code> which represents the <code>n</code> coins that you own. The value of the <code>i<sup>th</sup></code> coin is <code>coins[i]</code>. You can <strong>make</strong> some value <code>x</code> if you can choose some of your <code>n</code> coins such that their values sum up to <code>x</code>.</p>\n\n<p>Return the <em>maximum number of consecutive integer values that you <strong>can</strong> <strong>make</strong> with your coins <strong>starting</strong> from and <strong>including</strong> </em><code>0</code>.</p>\n\n<p>Note that you may have multiple coins of the same value.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> coins = [1,3]\n<strong>Output:</strong> 2\n<strong>Explanation: </strong>You can make the following values:\n- 0: take []\n- 1: take [1]\nYou can make 2 consecutive integer values starting from 0.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> coins = [1,1,1,4]\n<strong>Output:</strong> 8\n<strong>Explanation: </strong>You can make the following values:\n- 0: take []\n- 1: take [1]\n- 2: take [1,1]\n- 3: take [1,1,1]\n- 4: take [4]\n- 5: take [4,1]\n- 6: take [4,1,1]\n- 7: take [4,1,1,1]\nYou can make 8 consecutive integer values starting from 0.</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,10,3,1]\n<strong>Output:</strong> 20</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>coins.length == n</code></li>\n\t<li><code>1 &lt;= n &lt;= 4 * 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= coins[i] &lt;= 4 * 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "你能构造出连续值的最大数目",
"translatedContent": "<p>给你一个长度为 <code>n</code> 的整数数组 <code>coins</code> ,它代表你拥有的 <code>n</code> 个硬币。第 <code>i</code> 个硬币的值为 <code>coins[i]</code> 。如果你从这些硬币中选出一部分硬币,它们的和为 <code>x</code> ,那么称,你可以 <strong>构造</strong> 出 <code>x</code> 。</p>\n\n<p>请返回从 <code>0</code> 开始(<strong>包括</strong> <code>0</code> ),你最多能 <strong>构造</strong> 出多少个连续整数。</p>\n\n<p>你可能有多个相同值的硬币。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>coins = [1,3]\n<b>输出:</b>2\n<strong>解释:</strong>你可以得到以下这些值:\n- 0什么都不取 []\n- 1取 [1]\n从 0 开始,你可以构造出 2 个连续整数。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>coins = [1,1,1,4]\n<b>输出:</b>8\n<strong>解释:</strong>你可以得到以下这些值:\n- 0什么都不取 []\n- 1取 [1]\n- 2取 [1,1]\n- 3取 [1,1,1]\n- 4取 [4]\n- 5取 [4,1]\n- 6取 [4,1,1]\n- 7取 [4,1,1,1]\n从 0 开始,你可以构造出 8 个连续整数。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<b>输入:</b>nums = [1,4,10,3,1]\n<b>输出:</b>20</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>coins.length == n</code></li>\n\t<li><code>1 <= n <= 4 * 10<sup>4</sup></code></li>\n\t<li><code>1 <= coins[i] <= 4 * 10<sup>4</sup></code></li>\n</ul>\n",
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"If you can make the first x values and you have a value v, then you can make all the values <var>≤ v + x</var>",
"Sort the array of coins. You can always make the value 0 so you can start with x = 0.",
"Process the values starting from the smallest and stop when there is a value that cannot be achieved with the current x."
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