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combination-sum-iii.json
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"content": "<p>Find all valid combinations of <code>k</code> numbers that sum up to <code>n</code> such that the following conditions are true:</p>\n\n<ul>\n\t<li>Only numbers <code>1</code> through <code>9</code> are used.</li>\n\t<li>Each number is used <strong>at most once</strong>.</li>\n</ul>\n\n<p>Return <em>a list of all possible valid combinations</em>. The list must not contain the same combination twice, and the combinations may be returned in any order.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> k = 3, n = 7\n<strong>Output:</strong> [[1,2,4]]\n<strong>Explanation:</strong>\n1 + 2 + 4 = 7\nThere are no other valid combinations.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> k = 3, n = 9\n<strong>Output:</strong> [[1,2,6],[1,3,5],[2,3,4]]\n<strong>Explanation:</strong>\n1 + 2 + 6 = 9\n1 + 3 + 5 = 9\n2 + 3 + 4 = 9\nThere are no other valid combinations.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> k = 4, n = 1\n<strong>Output:</strong> []\n<strong>Explanation:</strong> There are no valid combinations.\nUsing 4 different numbers in the range [1,9], the smallest sum we can get is 1+2+3+4 = 10 and since 10 > 1, there are no valid combination.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= k <= 9</code></li>\n\t<li><code>1 <= n <= 60</code></li>\n</ul>\n",
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