Richie Rich

A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager. According to his will:

  • First give one coin to manager, and 1/5th of the remaining to the eldest son.
  • Now give one coin to the manager, and 1/5th of the remaining to the second son, and so on and so forth.
  • After giving coins to the 5th son, divide the remaining coins among five daughters equally.
  • Everyone gets an integer number of coins.

What is the minimum number of coins that the rich man had left behind?

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