K Distinct Array

An array is said to be **good** if all its elements are distinct, i.e. no two elements of the array are equal to each other. You are given a positive integer $N$ and an integer $K$ such that $N \leq K \leq \binom{N+1}{2}$. Construct an array $A$ of length $N$ that satisfies the following conditions - $A$ has **exactly** $K$ good (contiguous) subarrays, and - Every element of $A$ is an integer fr