1646 - Get Maximum in Generated Array.

Easy

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] 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:

nums0 = 0

nums1 = 1

nums(1 \* 2) = 2 = nums1 = 1

nums(1 \* 2) + 1 = 3 = nums1 + nums2 = 1 + 1 = 2

nums(2 \* 2) = 4 = nums2 = 1

nums(2 \* 2) + 1 = 5 = nums2 + nums3 = 1 + 2 = 3

nums(3 \* 2) = 6 = nums3 = 2

nums(3 \* 2) + 1 = 7 = nums3 + nums4 = 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