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74 lines
9.7 KiB
JSON
74 lines
9.7 KiB
JSON
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"questionId": "3232",
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"title": "Maximum GCD-Sum of a Subarray",
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"difficulty": "Hard",
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"categoryTitle": "Algorithms",
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"Try to answer the query of asking GCD of a subarray in <code>O(1)</code> using sparse tables and preprocessing.",
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"For every index <code>L</code>, let’s find the subarray starting at the index <code>L</code> and maximizing gcd-sum.",
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"Use the fact that if <code>L</code> is fixed, then by adding one more element to the end of a subarray, two things can happen: the gcd remains the same as the last gcd or becomes at least half of the last one.",
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"Now we can use binary search to find the last index <code>R</code> such that gcd of the elements of <code>nums[L..R]</code> would be equal to <code>nums[L]</code>.",
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"Now add <code>nums[R + 1]</code> to the current subarray and continue the process to find the last index that has the same gcd as the current gcd of elements."
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],
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