MathDB

Bartek patiently performs operations on fractions. In each move, he adds its inverse to the current result, obtaining a new result. Bartek starts with the number

1

: after the first move, he receives the result 2, after the second move, the result is

\frac{5}{2}

, after the third move

\frac{29}{10}

, etc. After

300

moves, Bartek receives the result

x

. Determine the largest integer not greater than

x

Problem Statement