mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
17 KiB
JSON
181 lines
17 KiB
JSON
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"title": "Split Array Into Maximum Number of Subarrays",
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"content": "<p>You are given an array <code>nums</code> consisting of <strong>non-negative</strong> integers.</p>\n\n<p>We define the score of subarray <code>nums[l..r]</code> such that <code>l <= r</code> as <code>nums[l] AND nums[l + 1] AND ... AND nums[r]</code> where <strong>AND</strong> is the bitwise <code>AND</code> operation.</p>\n\n<p>Consider splitting the array into one or more subarrays such that the following conditions are satisfied:</p>\n\n<ul>\n\t<li><strong>E</strong><strong>ach</strong> element of the array belongs to <strong>exactly</strong> one subarray.</li>\n\t<li>The sum of scores of the subarrays is the <strong>minimum</strong> possible.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> number of subarrays in a split that satisfies the conditions above.</em></p>\n\n<p>A <strong>subarray</strong> is a contiguous part of an array.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,0,2,0,1,2]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can split the array into the following subarrays:\n- [1,0]. The score of this subarray is 1 AND 0 = 0.\n- [2,0]. The score of this subarray is 2 AND 0 = 0.\n- [1,2]. The score of this subarray is 1 AND 2 = 0.\nThe sum of scores is 0 + 0 + 0 = 0, which is the minimum possible score that we can obtain.\nIt can be shown that we cannot split the array into more than 3 subarrays with a total score of 0. So we return 3.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,7,1,3]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We can split the array into one subarray: [5,7,1,3] with a score of 1, which is the minimum possible score that we can obtain.\nIt can be shown that we cannot split the array into more than 1 subarray with a total score of 1. So we return 1.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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"The minimum score will always be the bitwise <code>AND</code> of all elements of the array.",
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"If the minimum score is not equal to <code>0</code>, the only possible split will be to keep all elements in one subarray.",
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"Otherwise, all of the subarrays should have a score of <code>0</code>, we can greedily split the array while trying to make each subarray as small as possible."
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