mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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188 lines
28 KiB
JSON
188 lines
28 KiB
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"title": "Check if it is Possible to Split Array",
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"content": "<p>You are given an array <code>nums</code> of length <code>n</code> and an integer <code>m</code>. You need to determine if it is possible to split the array into <code>n</code> arrays of size 1 by performing a series of steps.</p>\n\n<p>An array is called <strong>good</strong> if:</p>\n\n<ul>\n\t<li>The length of the array is <strong>one</strong>, or</li>\n\t<li>The sum of the elements of the array is <strong>greater than or equal</strong> to <code>m</code>.</li>\n</ul>\n\n<p>In each step, you can select an existing array (which may be the result of previous steps) with a length of <strong>at least two</strong> and split it into <strong>two </strong>arrays, if both resulting arrays are good.</p>\n\n<p>Return true if you can split the given array into <code>n</code> arrays, otherwise return false.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2, 2, 1], m = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Split <code>[2, 2, 1]</code> to <code>[2, 2]</code> and <code>[1]</code>. The array <code>[1]</code> has a length of one, and the array <code>[2, 2]</code> has the sum of its elements equal to <code>4 >= m</code>, so both are good arrays.</li>\n\t<li>Split <code>[2, 2]</code> to <code>[2]</code> and <code>[2]</code>. both arrays have the length of one, so both are good arrays.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2, 1, 3], m = 5</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The first move has to be either of the following:</p>\n\n<ul>\n\t<li>Split <code>[2, 1, 3]</code> to <code>[2, 1]</code> and <code>[3]</code>. The array <code>[2, 1]</code> has neither length of one nor sum of elements greater than or equal to <code>m</code>.</li>\n\t<li>Split <code>[2, 1, 3]</code> to <code>[2]</code> and <code>[1, 3]</code>. The array <code>[1, 3]</code> has neither length of one nor sum of elements greater than or equal to <code>m</code>.</li>\n</ul>\n\n<p>So as both moves are invalid (they do not divide the array into two good arrays), we are unable to split <code>nums</code> into <code>n</code> arrays of size 1.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2, 3, 3, 2, 3], m = 6</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li><span class=\"example-io\">Split <code>[2, 3, 3, 2, 3]</code> to <code>[2]</code> and <code>[3, 3, 2, 3]</code>.</span></li>\n\t<li><span class=\"example-io\">Split <code>[3, 3, 2, 3]</code> to <code>[3, 3, 2]</code> and <code>[3]</code>.</span></li>\n\t<li><span class=\"example-io\">Split <code>[3, 3, 2]</code> to <code>[3, 3]</code> and <code>[2]</code>.</span></li>\n\t<li><span class=\"example-io\">Split <code>[3, 3]</code> to <code>[3]</code> and <code>[3]</code>.</span></li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n == nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 100</code></li>\n\t<li><code>1 <= m <= 200</code></li>\n</ul>\n",
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"translatedTitle": "判断是否能拆分数组",
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"translatedContent": "<p>给你一个长度为 <code>n</code> 的数组 <code>nums</code> 和一个整数 <code>m</code> 。请你判断能否执行一系列操作,将数组拆分成 <code>n</code> 个 <strong>非空 </strong>数组。</p>\n\n<p>一个数组被称为 <strong>好</strong> 的,如果:</p>\n\n<ul>\n\t<li>子数组的长度为 1 ,或者</li>\n\t<li>子数组元素之和 <strong>大于或等于</strong> <code>m</code> 。</li>\n</ul>\n\n<p>在每一步操作中,你可以选择一个 <strong>长度至少为 2</strong> 的现有数组(之前步骤的结果) 并将其拆分成 <strong>2</strong> 个子数组,而得到的 <strong>每个</strong> 子数组都需要是好的。</p>\n\n<p>如果你可以将给定数组拆分成 <code>n</code> 个满足要求的数组,返回 <code>true</code><em> </em>;否则,返回 <code>false</code> 。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>nums = [2, 2, 1], m = 4</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>true</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>将 <code>[2, 2, 1]</code> <span class=\"example-io\">切分为</span> <code>[2, 2]</code> 和 <code>[1]</code>。数组 <code>[1]</code> 的长度为 1,数组 <code>[2, 2]</code> 的元素之和等于 <code>4 >= m</code>,所以两者都是好的数组。</li>\n\t<li>将 <code>[2, 2]</code> <span class=\"example-io\">切分为</span> <code>[2]</code> 和 <code>[2]</code>。两个数组的长度都是 1,所以都是好的数组。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b></span><span class=\"example-io\">nums = [2, 1, 3], m = 5</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b></span><span class=\"example-io\">false</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>第一步必须是以下之一:</p>\n\n<ul>\n\t<li>将 <code>[2, 1, 3]</code> <span class=\"example-io\">切分为</span> <code>[2, 1]</code> 和 <code>[3]</code>。数组 <code>[2, 1]</code> 既不是长度为 1,也没有大于或等于 <code>m</code> 的元素和。</li>\n\t<li>将 <code>[2, 1, 3]</code> <span class=\"example-io\">切分为</span> <code>[2]</code> 和 <code>[1, 3]</code>。数组 <code>[1, 3]</code> 既不是长度为 1,也没有大于或等于 <code>m</code> 的元素和。</li>\n</ul>\n\n<p>因此,由于这两个操作都无效(它们没有将数组分成两个好的数组),因此我们无法将 <code>nums</code> 分成 <code>n</code> 个大小为 1 的数组。</p>\n</div>\n\n<p><strong class=\"example\">示例 3:</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b></span><span class=\"example-io\">nums = [2, 3, 3, 2, 3], m = 6</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b></span><span class=\"example-io\">true</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li><span class=\"example-io\">将 <code>[2, 3, 3, 2, 3]</code> 切分为 <code>[2]</code> 和 <code>[3, 3, 2, 3]</code>。</span></li>\n\t<li><span class=\"example-io\">将 <code>[3, 3, 2, 3]</code> 切分为 <code>[3, 3, 2]</code> 和 <code>[3]</code>。</span></li>\n\t<li><span class=\"example-io\">将 <code>[3, 3, 2]</code> 切分为 <code>[3, 3]</code> 和 <code>[2]</code>。</span></li>\n\t<li><span class=\"example-io\">将 <code>[3, 3]</code> 切分为 <code>[3]</code> 和 <code>[3]</code>。</span></li>\n</ul>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= n == nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 100</code></li>\n\t<li><code>1 <= m <= 200</code></li>\n</ul>\n",
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