Krystalova is studying a very particular sequence that she likes very much. Krystalova named the sequence: "Limited Increasing Sequence". A sequence $$$X$$$ of positive integer numbers is a limited increasing sequence if and only if every element $$$X_i$$$ is not greater than the sum of all the items $$$X_j$$$ $$$|$$$ $$$j \lt i$$$. In other words, every element $$$X_i$$$ meets the following condition:

$$$$$$\sum_{j=1}^{i-1}X_{j} \geq X_{i}$$$$$$

Let $$$f(X)$$$ be the sum of all the elements in a limited increasing sequence, it is said the limited increasing sequence $$$X$$$ produces $$$K$$$ if $$$f(X) = K$$$.

Looking at this sequence, Krystalova found that a number $$$K$$$ may be produced as the result of different $$$X$$$. She wants to know how many different limited increasing sequences produces $$$K$$$.

Help Krystalova to solve her problem!