java.lang.Object
g1601_1700.s1646_get_maximum_in_generated_array.Solution

public class Solution extends java.lang.Object
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:

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
  • Constructor Summary

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  • Method Summary

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  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • getMaximumGenerated

      public int getMaximumGenerated(int n)