2769. Find the Maximum Achievable Number

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Given two integers, num and t. A number x is achievable if it can become equal to num after applying the following operation at most t times:

  • Increase or decrease x by 1, and simultaneously increase or decrease num by 1.

Return the maximum possible value of x.

 

Example 1:

Input: num = 4, t = 1

Output: 6

Explanation:

Apply the following operation once to make the maximum achievable number equal to num:

  • Decrease the maximum achievable number by 1, and increase num by 1.

Example 2:

Input: num = 3, t = 2

Output: 7

Explanation:

Apply the following operation twice to make the maximum achievable number equal to num:

  • Decrease the maximum achievable number by 1, and increase num by 1.

 

Constraints:

  • 1 <= num, t <= 50

Hints

Hint 1
Let x be the answer, it’s always optimal to decrease x in each operation and increase nums.