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leetcode/problem/rearrange-array-elements-by-sign.html
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leetcode/problem/rearrange-array-elements-by-sign.html
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<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> of <strong>even</strong> length consisting of an <strong>equal</strong> number of positive and negative integers.</p>
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<p>You should <strong>rearrange</strong> the elements of <code>nums</code> such that the modified array follows the given conditions:</p>
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<ol>
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<li>Every <strong>consecutive pair</strong> of integers have <strong>opposite signs</strong>.</li>
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<li>For all integers with the same sign, the <strong>order</strong> in which they were present in <code>nums</code> is <strong>preserved</strong>.</li>
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<li>The rearranged array begins with a positive integer.</li>
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</ol>
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<p>Return <em>the modified array after rearranging the elements to satisfy the aforementioned conditions</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [3,1,-2,-5,2,-4]
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<strong>Output:</strong> [3,-2,1,-5,2,-4]
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<strong>Explanation:</strong>
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The positive integers in nums are [3,1,2]. The negative integers are [-2,-5,-4].
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The only possible way to rearrange them such that they satisfy all conditions is [3,-2,1,-5,2,-4].
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Other ways such as [1,-2,2,-5,3,-4], [3,1,2,-2,-5,-4], [-2,3,-5,1,-4,2] are incorrect because they do not satisfy one or more conditions.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [-1,1]
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<strong>Output:</strong> [1,-1]
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<strong>Explanation:</strong>
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1 is the only positive integer and -1 the only negative integer in nums.
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So nums is rearranged to [1,-1].
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>2 <= nums.length <= 2 * 10<sup>5</sup></code></li>
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<li><code>nums.length</code> is <strong>even</strong></li>
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<li><code>1 <= |nums[i]| <= 10<sup>5</sup></code></li>
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<li><code>nums</code> consists of <strong>equal</strong> number of positive and negative integers.</li>
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</ul>
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