### Problem

Let's say we play a
simple game. I have a circular table and an unlimited supply of
identically shaped Cuban cigars. We each take turns placing a cigar on
the table without disturbing any other cigars already there in the
process and without overlapping any pair of cigars. The winner will be
last person to successfully place a cigar on the table subject to the
given restrictions. If I give you the option of going first, how would
you play in order try and win

### Solution

Since the circle is symmetric.around the centre..except the centre there
would always be one position exactly symmetric and opposite..to place
the cigar..

1. So i will start by placing the CIGAR in the centre in the first move.

2. My Consecutive moves would be governed by where the other person is placing the cigar..i would place the cigar,symmetrically opposite to where he is placing in each move.

1. So i will start by placing the CIGAR in the centre in the first move.

2. My Consecutive moves would be governed by where the other person is placing the cigar..i would place the cigar,symmetrically opposite to where he is placing in each move.

**References**

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