Relaxation

Level 2

2 n = ( 1 ) ( + 1 ) \large \displaystyle 2^n = \overline{\cdots\square\triangle(\bigcirc - 1)\cap\cup\sqcup\square\triangle(\bigcirc + 1)}

Each symbol represents a digit, not necessarily distinct. What is the minimum value of + \overline{\square\triangle\bigcirc} + \overline{\cap\cup\sqcup} with n Z + n \in \mathbb Z^+ ?


The answer is 1262.

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