Package g1801_1900.s1802_maximum_value_at_a_given_index_in_a_bounded_array

Class Solution

java.lang.Object
g1801_1900.s1802_maximum_value_at_a_given_index_in_a_bounded_array.Solution
public class Solution extends java.lang.Object
1802 - Maximum Value at a Given Index in a Bounded Array.

Medium

You are given three positive integers: n, index, and maxSum. You want to construct an array nums ( 0-indexed ) that satisfies the following conditions:

  • nums.length == n
  • nums[i] is a positive integer where 0 <= i < n.
  • abs(nums[i] - nums[i+1]) <= 1 where 0 <= i < n-1.
  • The sum of all the elements of nums does not exceed maxSum.
  • nums[index] is maximized.

Return nums[index] of the constructed array.

Note that abs(x) equals x if x >= 0, and -x otherwise.

Example 1:

Input: n = 4, index = 2, maxSum = 6

Output: 2

Explanation: nums = [1,2, 2 ,1] is one array that satisfies all the conditions. There are no arrays that satisfy all the conditions and have nums[2] == 3, so 2 is the maximum nums[2].

Example 2:

Input: n = 6, index = 1, maxSum = 10

Output: 3

Constraints:

  • 1 <= n <= maxSum <= 109
  • 0 <= index < n

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maxValue(int n, int index, int maxSum)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maxValue

      public int maxValue(int n, int index, int maxSum)