Puzzle #8: Gold Bar Puzzle | Amazon
You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
Lets split the connected piece as,
A for 1 Gold Piece, B for Group of 2 Gold Pieces & C for Group of 4 Gold Pieces.
Day 1: Give A ( + 1 )
Day 2: Get back A, give B ( - 1, + 2 )
Day 3: Give A ( + 1 )
Day 4: Get back A and B, give C ( - 2, - 1, + 4 )
Day 5: Give A ( + 1 )
Day 6: Get back A, give B ( - 1, + 2 )
Day 7: Give A ( + 1 )