MathDB

There is number

1

on the blackboard initially. The first step is to erase

1

and write two nonnegative reals whose sum is

1

. Call the smaller number of the two

L_2

. For integer

k \ge 2

, the

{k}

the step is to erase a number on the blackboard arbitrarily and write two nonnegative reals whose sum is the number erased just now. Call the smallest number of the

k+1

on the blackboard

L_{k+1}

. Find the maximum of

L_2+L_3+\cdots+L_{2024}

Problem Statement