mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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170 lines
27 KiB
JSON
170 lines
27 KiB
JSON
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"categoryTitle": "Algorithms",
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"title": "Maximum Balanced Shipments",
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"content": "<p data-end=\"365\" data-start=\"23\">You are given an integer array <code data-end=\"62\" data-start=\"54\">weight</code> of length <code data-end=\"76\" data-start=\"73\">n</code>, representing the weights of <code data-end=\"109\" data-start=\"106\">n</code> parcels arranged in a straight line. A <strong data-end=\"161\" data-start=\"149\">shipment</strong> is defined as a contiguous subarray of parcels. A shipment is considered <strong data-end=\"247\" data-start=\"235\">balanced</strong> if the weight of the <strong data-end=\"284\" data-start=\"269\">last parcel</strong> is <strong>strictly less</strong> than the <strong data-end=\"329\" data-start=\"311\">maximum weight</strong> among all parcels in that shipment.</p>\n\n<p data-end=\"528\" data-start=\"371\">Select a set of <strong data-end=\"406\" data-start=\"387\">non-overlapping</strong>, contiguous, balanced shipments such that <strong data-end=\"496\" data-start=\"449\">each parcel appears in at most one shipment</strong> (parcels may remain unshipped).</p>\n\n<p data-end=\"587\" data-start=\"507\">Return the <strong data-end=\"545\" data-start=\"518\">maximum possible number</strong> of balanced shipments that can be formed.</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\">weight = [2,5,1,4,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p data-end=\"136\" data-start=\"62\">We can form the maximum of two balanced shipments as follows:</p>\n\n<ul>\n\t<li data-end=\"163\" data-start=\"140\">Shipment 1: <code>[2, 5, 1]</code>\n\n\t<ul>\n\t\t<li data-end=\"195\" data-start=\"168\">Maximum parcel weight = 5</li>\n\t\t<li data-end=\"275\" data-start=\"200\">Last parcel weight = 1, which is strictly less than 5. Thus, it's balanced.</li>\n\t</ul>\n\t</li>\n\t<li data-end=\"299\" data-start=\"279\">Shipment 2: <code>[4, 3]</code>\n\t<ul>\n\t\t<li data-end=\"331\" data-start=\"304\">Maximum parcel weight = 4</li>\n\t\t<li data-end=\"411\" data-start=\"336\">Last parcel weight = 3, which is strictly less than 4. Thus, it's balanced.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p data-end=\"519\" data-start=\"413\">It is impossible to partition the parcels to achieve more than two balanced shipments, so the answer is 2.</p>\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\">weight = [4,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p data-end=\"635\" data-start=\"574\">No balanced shipment can be formed in this case:</p>\n\n<ul>\n\t<li data-end=\"772\" data-start=\"639\">A shipment <code>[4, 4]</code> has maximum weight 4 and the last parcel's weight is also 4, which is not strictly less. Thus, it's not balanced.</li>\n\t<li data-end=\"885\" data-start=\"775\">Single-parcel shipments <code>[4]</code> have the last parcel weight equal to the maximum parcel weight, thus not balanced.</li>\n</ul>\n\n<p data-end=\"958\" data-is-last-node=\"\" data-is-only-node=\"\" data-start=\"887\">As there is no way to form even one balanced shipment, the answer is 0.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li data-end=\"8706\" data-start=\"8671\"><code data-end=\"8704\" data-start=\"8671\">2 <= n <= 10<sup>5</sup></code></li>\n\t<li data-end=\"8733\" data-start=\"8709\"><code data-end=\"8733\" data-start=\"8709\">1 <= weight[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"translatedTitle": "平衡装运的最大数量",
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"translatedContent": "<p data-end=\"365\" data-start=\"23\">给你一个长度为 <code data-end=\"76\" data-start=\"73\">n</code> 的整数数组 <code data-end=\"62\" data-start=\"54\">weight</code>,表示按直线排列的 <code data-end=\"109\" data-start=\"106\">n</code> 个包裹的重量。<b>装运</b> 定义为包裹的一个连续子数组。如果一个装运满足以下条件,则称其为 <strong data-end=\"247\" data-start=\"235\">平衡装运</strong>:<strong data-end=\"284\" data-start=\"269\">最后一个包裹的重量</strong> <strong>严格小于 </strong>该装运中所有包裹中 <strong data-end=\"329\" data-start=\"311\">最大重量 </strong>。</p>\n\n<p data-end=\"528\" data-start=\"371\">选择若干个 <strong data-end=\"406\" data-start=\"387\">不重叠 </strong>的连续平衡装运,并满足 <strong data-end=\"496\" data-start=\"449\">每个包裹最多出现在一次装运中</strong>(部分包裹可以不被装运)。</p>\n\n<p data-end=\"587\" data-start=\"507\">返回 <strong data-end=\"545\" data-start=\"518\">可以形成的平衡装运的最大数量 </strong>。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">weight = [2,5,1,4,3]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p data-end=\"136\" data-start=\"62\">我们可以形成最多两个平衡装运:</p>\n\n<ul>\n\t<li data-end=\"163\" data-start=\"140\">装运 1: <code>[2, 5, 1]</code>\n\n\t<ul>\n\t\t<li data-end=\"195\" data-start=\"168\">包裹的最大重量 = 5</li>\n\t\t<li data-end=\"275\" data-start=\"200\">最后一个包裹的重量 = 1,严格小于 5,因此这是平衡装运。</li>\n\t</ul>\n\t</li>\n\t<li data-end=\"299\" data-start=\"279\">装运 2: <code>[4, 3]</code>\n\t<ul>\n\t\t<li data-end=\"331\" data-start=\"304\">包裹的最大重量 = 4</li>\n\t\t<li data-end=\"411\" data-start=\"336\">最后一个包裹的重量 = 3,严格小于 4,因此这是平衡装运。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p data-end=\"519\" data-start=\"413\">无法通过其他方式划分包裹获得超过两个平衡装运,因此答案是 2。</p>\n</div>\n\n<p><strong class=\"example\">示例 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">weight = [4,4]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p data-end=\"635\" data-start=\"574\">在这种情况下无法形成平衡装运:</p>\n\n<ul>\n\t<li data-end=\"772\" data-start=\"639\">装运 <code>[4, 4]</code> 的最大重量为 4,而最后一个包裹的重量也是 4,不严格小于最大重量,因此不是平衡的。</li>\n\t<li data-end=\"885\" data-start=\"775\">单个包裹的装运 <code>[4]</code> 中,最后一个包裹的重量等于最大重量,因此也不是平衡的。</li>\n</ul>\n\n<p data-end=\"958\" data-is-last-node=\"\" data-is-only-node=\"\" data-start=\"887\">由于无法形成任何平衡装运,答案是 0。</p>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li data-end=\"8706\" data-start=\"8671\"><code data-end=\"8704\" data-start=\"8671\">2 <= n <= 10<sup>5</sup></code></li>\n\t<li data-end=\"8733\" data-start=\"8709\"><code data-end=\"8733\" data-start=\"8709\">1 <= weight[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"Use a monotonic stack to find for each end index <code>i</code> the nearest previous index <code>j</code> with <code>weight[j] > weight[i]</code> (set <code>j = -1</code> if none).",
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