# Would you mind if you wear unmatched shoes ?

**Logic**Level 2

The weights of the pairs are light(**L**),medium(**M**) and heavy(**H**).Also,the sum of weights of a light shoe and a heavy shoe can be equal to sum of two medium shoes i.e.

\(L+H=M+M\)

If you are given an arm balance which is very accurate to even small weight differences then what is the minimum number of weighings you require to separate all the pairs?

* Remarks*:

*Created in inspiration with this problem...*
Where is that hen?