mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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156 lines
15 KiB
JSON
156 lines
15 KiB
JSON
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"questionId": "1466",
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"title": "Jump Game V",
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"titleSlug": "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>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>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>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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"difficulty": "Hard",
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"code": "class Solution {\n\n /**\n * @param Integer[] $arr\n * @param Integer $d\n * @return Integer\n */\n function maxJumps($arr, $d) {\n \n }\n}",
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"code": "function maxJumps(arr: number[], d: number): number {\n\n};",
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"hints": [
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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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"dp[i] = 1 + max (dp[j]) where j is all indices you can reach from i."
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],
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"sampleTestCase": "[6,4,14,6,8,13,9,7,10,6,12]\n2",
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