A group of friends from Brilliant decide to go for a bungee jumping camp. The last one to jump is Rajdeep. 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. \(h_0=0\) m above the ground. He oscillates until he settles at an equilibrium height of \(\frac{51}{200}H\) m above the ground.

If the maximum acceleration experienced by Rajdeep during the motion can be written as \(\frac{ag}{b}\), find \(a+b\)

**Details and Assumptions**

- Nothing bad happens to Rajdeep.
- Consider Rajdeep to be a point particle.

This problem is of this set.

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