# Brain Teaser #4?

Brain Teaser #4??

What is the explanation. It seems totally incorrect.

If the son is going to stay 123 weeks - and each week he HAS TO break off new links.

Then he MUST break off something each of the 123 weeks.

Explain the question...

See, no one knows the answer becaue it's wrong!

The minimum number of cuts needed to be made is 4 for a chain with 89 links.
If the links are numbered serially from 1 to 89, then the cuts would be made on the following links:
6, 17, 38, and 79.

To gain a better understandstanding, consider the scenario in the first few weeks as illustrated in the table below.

1 1
2 1 + 1
3 1 + 1 + 1
4 1 + 1 + 1 + 1
5 5
6 5 + 1
7 5 + 1 + 1
8 5 + 1 + 1 + 1
9 5 + 1 + 1 + 1 + 1
10 10
11 10 + 1
12 10 + 1

The table above indicates that:
at the end of the fifth week, the 5-link piece is given and the 4 one-link pieces are taken back;
at the end of the tenth week, the 10-link piece is given and the 4 one-link pieces as well as the 5-link piece are taken back.

Edit: 12 - 10 + 1 + 1