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

Explanation

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

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