# Collatz conjecture Prize 120 million JPY

A prize of 120 million JPY will be paid to those who have revealed the truth of the Collatz conjecture. The conjecture is also known as the \(3x + 1\) problem or the \(3n + 1\) problem.

## Collatz conjecture

Repeatedly applying the function \(f(x)\) defined below to any positive integers will eventually result in \(1\).

\[ f(x) = \left \{ \begin{array} \\ x \mathbin{/} 2 & (x \equiv 0 \pmod 2) \\ 3 x + 1 & (x \equiv 1 \pmod 2) \end{array} \right. \]

## Rules

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