mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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175 lines
19 KiB
JSON
175 lines
19 KiB
JSON
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"title": "Construct the Minimum Bitwise Array II",
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"content": "<p>You are given an array <code>nums</code> consisting of <code>n</code> <span data-keyword=\"prime-number\">prime</span> integers.</p>\n\n<p>You need to construct an array <code>ans</code> of length <code>n</code>, such that, for each index <code>i</code>, the bitwise <code>OR</code> of <code>ans[i]</code> and <code>ans[i] + 1</code> is equal to <code>nums[i]</code>, i.e. <code>ans[i] OR (ans[i] + 1) == nums[i]</code>.</p>\n\n<p>Additionally, you must <strong>minimize</strong> each value of <code>ans[i]</code> in the resulting array.</p>\n\n<p>If it is <em>not possible</em> to find such a value for <code>ans[i]</code> that satisfies the <strong>condition</strong>, then set <code>ans[i] = -1</code>.</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 = [2,3,5,7]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[-1,1,4,3]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>For <code>i = 0</code>, as there is no value for <code>ans[0]</code> that satisfies <code>ans[0] OR (ans[0] + 1) = 2</code>, so <code>ans[0] = -1</code>.</li>\n\t<li>For <code>i = 1</code>, the smallest <code>ans[1]</code> that satisfies <code>ans[1] OR (ans[1] + 1) = 3</code> is <code>1</code>, because <code>1 OR (1 + 1) = 3</code>.</li>\n\t<li>For <code>i = 2</code>, the smallest <code>ans[2]</code> that satisfies <code>ans[2] OR (ans[2] + 1) = 5</code> is <code>4</code>, because <code>4 OR (4 + 1) = 5</code>.</li>\n\t<li>For <code>i = 3</code>, the smallest <code>ans[3]</code> that satisfies <code>ans[3] OR (ans[3] + 1) = 7</code> is <code>3</code>, because <code>3 OR (3 + 1) = 7</code>.</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 = [11,13,31]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[9,12,15]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>For <code>i = 0</code>, the smallest <code>ans[0]</code> that satisfies <code>ans[0] OR (ans[0] + 1) = 11</code> is <code>9</code>, because <code>9 OR (9 + 1) = 11</code>.</li>\n\t<li>For <code>i = 1</code>, the smallest <code>ans[1]</code> that satisfies <code>ans[1] OR (ans[1] + 1) = 13</code> is <code>12</code>, because <code>12 OR (12 + 1) = 13</code>.</li>\n\t<li>For <code>i = 2</code>, the smallest <code>ans[2]</code> that satisfies <code>ans[2] OR (ans[2] + 1) = 31</code> is <code>15</code>, because <code>15 OR (15 + 1) = 31</code>.</li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 100</code></li>\n\t<li><code>2 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>nums[i]</code> is a prime number.</li>\n</ul>\n",
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"Consider the binary representation of <code>nums[i]</code>.",
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"Answer is -1 for even <code>nums[i]</code>.",
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"Try unsetting a single bit from <code>nums[i]</code>."
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