Given an integer array nums and an integer k, determine whether it is possible to divide the array into sets where each set contains exactly k consecutive integers.

Return true if nums can be partitioned into such sets, and false otherwise.

Constraints:

• $1 \leq$ k $\leq$ nums.length $\leq 10^5$

• $1 \leq$ nums[i] $\leq 10^9$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.