An employee works for an employer for 7 days. The employer has a gold rod of 7 units. How does the employer pay to the employee, so that the number of employee’s units increases by one at the end of each day. The employer can make at most 2 cuts in the rod.
Employer can pay for seven days by making 2 cuts in a way that he has 3 rods of size 1, 2 and 4.
1st Day: Employer gives 1 unit cut.
2nd day: Takes back 1 unit cut from employee given on first day and gives 2 unit cut.
3rd Day: Gives 1 unit and then the employer is left with 4 unit rod lengths.
4th Day: Takes back cuts of 1 and 2 units. Gives the cut of 4 units.
5th Day: Gives cut of 1 unit.
6th Day: Takes back cut of 1 unit and gives cut of 2 units.
7th Day: Gives cut of 1 unit.
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