1646. Get Maximum in Generated Array
Description
You are given an integer n
. A 0-indexed integer array nums
of length n + 1
is generated in the following way:
nums[0] = 0
nums[1] = 1
nums[2 * i] = nums[i]
when2 <= 2 * i <= n
nums[2 * i + 1] = nums[i] + nums[i + 1]
when2 <= 2 * i + 1 <= n
Return the maximum integer in the array nums
.
Example 1:
Input: n = 7 Output: 3 Explanation: According to the given rules: nums[0] = 0 nums[1] = 1 nums[(1 * 2) = 2] = nums[1] = 1 nums[(1 * 2) + 1 = 3] = nums[1] + nums[2] = 1 + 1 = 2 nums[(2 * 2) = 4] = nums[2] = 1 nums[(2 * 2) + 1 = 5] = nums[2] + nums[3] = 1 + 2 = 3 nums[(3 * 2) = 6] = nums[3] = 2 nums[(3 * 2) + 1 = 7] = nums[3] + nums[4] = 2 + 1 = 3 Hence, nums = [0,1,1,2,1,3,2,3], and the maximum is max(0,1,1,2,1,3,2,3) = 3.
Example 2:
Input: n = 2 Output: 1 Explanation: According to the given rules, nums = [0,1,1]. The maximum is max(0,1,1) = 1.
Example 3:
Input: n = 3 Output: 2 Explanation: According to the given rules, nums = [0,1,1,2]. The maximum is max(0,1,1,2) = 2.
Constraints:
0 <= n <= 100
Solutions
Solution 1
1 2 3 4 5 6 7 8 9 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
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1 2 3 4 5 6 7 8 9 10 11 |
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