$\underline{\text { Tolkpy A.K. }}$

A circle is divided into seven arcs such that the sum of any two adjacent arcs does not exceed $103^{\circ}$.

Name the largest number $A$ such that in any such division, each of the seven arcs contains at least $A^{\circ}$.
Evaluation. The sum of six consecutive arcs does not exceed $309 \|$, therefore, the length of the seventh arc is not less than $51^{\circ}$. Example: divide the circle into arcs of $51^{\circ}, 52^{\circ}, 51^{\circ}, 52^{\circ}, 51^{\circ}, 52^{\circ}, 51^{\circ}$.

## Answer

$A=51$.