Princi is playing 'Make Towers with Blocks'. She wants to make towers and then jump from one tower to the next.

The rules of the game are : She has $N$ blocks. She can make any number of towers with them but the heights of the towers must be in a strictly increasing order i.e. height of any two towers must not be equal (so she can jump higher and higher).

Now she wants to find the number of ways in which she can make towers like this with $N=196$ blocks (the different ways for $N=6$ are shown in the image). Since, she is busy doing her work, you have to find the answer for her.