mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
183 lines
23 KiB
JSON
183 lines
23 KiB
JSON
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"title": "Jump Game V",
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"content": "<p>Given an array of integers <code>arr</code> and an integer <code>d</code>. In one step you can jump from index <code>i</code> to index:</p>\n\n<ul>\n\t<li><code>i + x</code> where: <code>i + x < arr.length</code> and <code> 0 < x <= d</code>.</li>\n\t<li><code>i - x</code> where: <code>i - x >= 0</code> and <code> 0 < x <= d</code>.</li>\n</ul>\n\n<p>In addition, you can only jump from index <code>i</code> to index <code>j</code> if <code>arr[i] > arr[j]</code> and <code>arr[i] > arr[k]</code> for all indices <code>k</code> between <code>i</code> and <code>j</code> (More formally <code>min(i, j) < k < max(i, j)</code>).</p>\n\n<p>You can choose any index of the array and start jumping. Return <em>the maximum number of indices</em> you can visit.</p>\n\n<p>Notice that you can not jump outside of the array at any time.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/01/23/meta-chart.jpeg\" style=\"width: 633px; height: 419px;\" />\n<pre>\n<strong>Input:</strong> arr = [6,4,14,6,8,13,9,7,10,6,12], d = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> You can start at index 10. You can jump 10 --> 8 --> 6 --> 7 as shown.\nNote that if you start at index 6 you can only jump to index 7. You cannot jump to index 5 because 13 > 9. You cannot jump to index 4 because index 5 is between index 4 and 6 and 13 > 9.\nSimilarly You cannot jump from index 3 to index 2 or index 1.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [3,3,3,3,3], d = 3\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> You can start at any index. You always cannot jump to any index.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [7,6,5,4,3,2,1], d = 1\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> Start at index 0. You can visit all the indicies. \n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= arr.length <= 1000</code></li>\n\t<li><code>1 <= arr[i] <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= d <= arr.length</code></li>\n</ul>\n",
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"translatedTitle": "跳跃游戏 V",
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"translatedContent": "<p>给你一个整数数组 <code>arr</code> 和一个整数 <code>d</code> 。每一步你可以从下标 <code>i</code> 跳到：</p>\n\n<ul>\n\t<li><code>i + x</code> ，其中 <code>i + x < arr.length</code> 且 <code>0 < x <= d</code> 。</li>\n\t<li><code>i - x</code> ，其中 <code>i - x >= 0</code> 且 <code>0 < x <= d</code> 。</li>\n</ul>\n\n<p>除此以外，你从下标 <code>i</code> 跳到下标 <code>j</code> 需要满足：<code>arr[i] > arr[j]</code> 且 <code>arr[i] > arr[k]</code> ，其中下标 <code>k</code> 是所有 <code>i</code> 到 <code>j</code> 之间的数字（更正式的，<code>min(i, j) < k < max(i, j)</code>）。</p>\n\n<p>你可以选择数组的任意下标开始跳跃。请你返回你 <strong>最多</strong> 可以访问多少个下标。</p>\n\n<p>请注意，任何时刻你都不能跳到数组的外面。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/02/02/meta-chart.jpeg\" style=\"height: 419px; width: 633px;\"></p>\n\n<pre><strong>输入：</strong>arr = [6,4,14,6,8,13,9,7,10,6,12], d = 2\n<strong>输出：</strong>4\n<strong>解释：</strong>你可以从下标 10 出发，然后如上图依次经过 10 --> 8 --> 6 --> 7 。\n注意，如果你从下标 6 开始，你只能跳到下标 7 处。你不能跳到下标 5 处因为 13 > 9 。你也不能跳到下标 4 处，因为下标 5 在下标 4 和 6 之间且 13 > 9 。\n类似的，你不能从下标 3 处跳到下标 2 或者下标 1 处。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>arr = [3,3,3,3,3], d = 3\n<strong>输出：</strong>1\n<strong>解释：</strong>你可以从任意下标处开始且你永远无法跳到任何其他坐标。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>arr = [7,6,5,4,3,2,1], d = 1\n<strong>输出：</strong>7\n<strong>解释：</strong>从下标 0 处开始，你可以按照数值从大到小，访问所有的下标。\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre><strong>输入：</strong>arr = [7,1,7,1,7,1], d = 2\n<strong>输出：</strong>2\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre><strong>输入：</strong>arr = [66], d = 1\n<strong>输出：</strong>1\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= arr.length <= 1000</code></li>\n\t<li><code>1 <= arr[i] <= 10^5</code></li>\n\t<li><code>1 <= d <= arr.length</code></li>\n</ul>\n",
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"Use dynamic programming. dp[i] is max jumps you can do starting from index i. Answer is max(dp[i]).",
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