Love of chocolate

Number Theory Level pending

Priyanka visited a famous monument called “holyghar” located near Himalayas. It was a round structure consisting of 100 steps in spiral stairway to reach top. From top you can have overview of natural beauty surrounding that place. Priyanka thought of reaching the top. She also carried a lot of chocolates with her for kids. In the process of climbing up, with each step a chocolate falls from her bag. When she reaches top, she donates half of the chocolates left with her to small kids. Again, in the process of climbing down a chocolate falls down with each step.

She repeats the same process at five holyghars and now she is left with no chocolates. Can you find out the total number of chocolates she had with her initially?

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