A group of friends from BRILLIANT decide to go for a bungee jumping camp. The second one to jump is Swapnil. He jumps from the top of a cliff of height \(H\). He performs a damped oscillatory motion along the vertical motion. The first time he reaches at the lowest level ,i.e, \(height=0m\) above the ground. Then he goes up to a certain height. Similar type of motion goes on until an equilibrium state is obtained at height \[h=\frac{51H}{200}\].

Find the maximum velocity obtained during the motion.

The maximum velocity is given by: \(\frac{a}{b}\sqrt{\frac{Hg}{c}}\)

Find \(a+b+c\)

**Details and Assumptions**

- Nothing bad happens to Swapnil.
- Consider Swapnil to be a point sized particle.

This problem is of this set.

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