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50 lines
2.7 KiB
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50 lines
2.7 KiB
HTML
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> and an integer <code>k</code>.</p>
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<p>In one operation, you can pick any index <code>i</code> of <code>nums</code> such that <code>0 <= i < nums.length - 1</code> and replace <code>nums[i]</code> and <code>nums[i + 1]</code> with a single occurrence of <code>nums[i] & nums[i + 1]</code>, where <code>&</code> represents the bitwise <code>AND</code> operator.</p>
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<p>Return <em>the <strong>minimum</strong> possible value of the bitwise </em><code>OR</code><em> of the remaining elements of</em> <code>nums</code> <em>after applying <strong>at most</strong></em> <code>k</code> <em>operations</em>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [3,5,3,2,7], k = 2
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> Let's do the following operations:
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1. Replace nums[0] and nums[1] with (nums[0] & nums[1]) so that nums becomes equal to [1,3,2,7].
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2. Replace nums[2] and nums[3] with (nums[2] & nums[3]) so that nums becomes equal to [1,3,2].
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The bitwise-or of the final array is 3.
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It can be shown that 3 is the minimum possible value of the bitwise OR of the remaining elements of nums after applying at most k operations.</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [7,3,15,14,2,8], k = 4
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> Let's do the following operations:
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1. Replace nums[0] and nums[1] with (nums[0] & nums[1]) so that nums becomes equal to [3,15,14,2,8].
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2. Replace nums[0] and nums[1] with (nums[0] & nums[1]) so that nums becomes equal to [3,14,2,8].
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3. Replace nums[0] and nums[1] with (nums[0] & nums[1]) so that nums becomes equal to [2,2,8].
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4. Replace nums[1] and nums[2] with (nums[1] & nums[2]) so that nums becomes equal to [2,0].
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The bitwise-or of the final array is 2.
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It can be shown that 2 is the minimum possible value of the bitwise OR of the remaining elements of nums after applying at most k operations.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [10,7,10,3,9,14,9,4], k = 1
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<strong>Output:</strong> 15
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<strong>Explanation:</strong> Without applying any operations, the bitwise-or of nums is 15.
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It can be shown that 15 is the minimum possible value of the bitwise OR of the remaining elements of nums after applying at most k operations.
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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>1 <= nums.length <= 10<sup>5</sup></code></li>
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<li><code>0 <= nums[i] < 2<sup>30</sup></code></li>
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<li><code>0 <= k < nums.length</code></li>
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</ul>
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