Description:
Consider the recurrent sequence given by $$$x_0 = 0$$$, $$$x_1 = 4$$$ and $$$x_{n+1} = 4 \cdot x_n - 3 \cdot x_{n-1}$$$ for all natural $$$n$$$. Find the minimum natural $$$n$$$ such that $$$x_n$$$ is divisible by $$$83$$$.
Input Format:
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Output Format:
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Note:
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