Find the least positive integer `n` such that `((2i)/(1+i))^n` is a positive integer.

Explanation

To solve the problem of finding the least positive integer \( n \) such that \( \left( \frac{2i}{1+i} \right)^n \) is a positive integer, we will follow these steps:

### Step 1: Rationalize the expression
We start with the expression \( \frac{2i}{1+i} \). To simplify this, we multiply the numerator and denominator by the conjugate of the denominator, which is \( 1-i \):

\[ \frac{2i}{1+i} \cdot \frac{1-i}{1-i} = \frac{2i(1-i)}{(1+i)(1-i)} \]
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