You are given an integer array nums and an integer k.

Determine whether it is possible to partition all elements of nums into groups such that each group contains exactly k distinct elements and every element from nums belongs to exactly one group.

Return true if such a partition is possible, or false otherwise.

Constraints:

• $1 \leq$ nums.length $\leq 10^5$

• $1 \leq$ nums[i] $\leq 10^5$

• $1 \leq$ k $\leq$ nums.length

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.