# Question

Formatted question description: https://leetcode.ca/all/1646.html

 1646. Get Maximum in Generated Array

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

nums = 0
nums = 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

Return the maximum integer in the array nums​​​.

Example 1:

Input: n = 7
Output: 3
Explanation: According to the given rules:
nums = 0
nums = 1
nums[(1 * 2) = 2] = nums = 1
nums[(1 * 2) + 1 = 3] = nums + nums = 1 + 1 = 2
nums[(2 * 2) = 4] = nums = 1
nums[(2 * 2) + 1 = 5] = nums + nums = 1 + 2 = 3
nums[(3 * 2) = 6] = nums = 2
nums[(3 * 2) + 1 = 7] = nums + nums = 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, nums, and nums is 1.

Example 3:

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

Constraints:
0 <= n <= 100


# Algorithm

Just add up following problem desciption.

Java