1646. Get Maximum in Generated Array

https://leetcode.com/problems/get-maximum-in-generated-array

Description

You are given an integer n. An array nums of length n + 1 is generated in the following way:

• nums[0] = 0

• nums[1] = 1

• nums[2 * i] = nums[i] when 2 <= 2 * i <= n

• nums[2 * i + 1] = nums[i] + nums[i + 1] when 2 <= 2 * i + 1 <= n

Returnthe 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 3.

Example 2:

**Input:** n = 2
**Output:** 1
**Explanation:** According to the given rules, the maximum between nums[0], nums[1], and nums[2] is 1.

Example 3:

**Input:** n = 3
**Output:** 2
**Explanation:** According to the given rules, the maximum between nums[0], nums[1], nums[2], and nums[3] is 2.

Constraints:

• 0 <= n <= 100

ac