** Puzzle:** You have got someone working for you for five days and a gold bar to pay him. You must give them a piece of gold at the end of every day. What are the fewest number of cuts to the bar of gold that will allow you to pay him 1/5th each day?

** Answer:** 2 cuts.

**Explanation 1:**

After two cut there are three pieces of [1 unit and two 2 units] or [two 1 units and one 3 unit]. Now perform the following transactions.

**[1 unit and two 2 units]**

Days | Gold Bars(Vendor) | Gold Bars(Worker) | Comments |
---|---|---|---|

Day 0 | [1, 2, 2] | [] | Intially Worker have 0 Gold Bars unit. |

Day 1 | [2, 2] | [1] | Pay the worker Gold Bar with 1 unit. |

Day 2 | [1, 2] | [2] | Pay the worker Gold with 2 units and take back the gold bar with 1 unit. |

Day 3 | [2] | [1, 2] | Pay the worker Gold Bar with 1 unit. |

Day 4 | [1] | [2, 2] | Pay the worker Gold with 2 units and take back the gold bar with 1 unit. |

Day 5 | [] | [1, 2, 2] | Pay the worker with only left Gold Bar with 1 unit. |

**[two 1 units and one 3 unit]**

Days | Gold Bars(Vendor) | Gold Bars(Worker) | Comments |
---|---|---|---|

Day 0 | [1, 1, 3] | [] | Intially Worker have 0 Gold Bars unit. |

Day 1 | [1, 3] | [1] | Pay the worker Gold Bar with 1 unit. |

Day 2 | [3] | [1,1] | Pay the worker Gold with other 1 units. |

Day 3 | [1,1] | [3] | Pay the worker Gold Bar with 3 unit and take back all the gold bar with 1 unit. |

Day 4 | [1] | [1, 3] | Pay the worker Gold with 1 unit. |

Day 5 | [] | [1, 1, 3] | Pay the worker with only left Gold Bar with 1 unit. |

**Similar Puzzle:** Pay an employee using a 7 units gold rod?

This article is contributed by **Vikash Kumar**. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above

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