Hop on over

Logic Level 3

Brilli the bug is constrained to move on a number line ranging \([-\infty ,\infty ]\). It starts at 0 and can go either left or right but moves in a way such that the \(i\)th 's move it takes \(i\) steps.

What is the minimum number of moves required to reach 32 on the number line.

Details and Assumptions:

  • As an explicit example to reach position \(3\) it takes a minimum of \(2\) moves \(0\rightarrow 1 \rightarrow 3\)

  • The \(i\)-th move can be done with as a combination of left and right movement


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