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

Explanation

To find n such that,
`((2i)/(1+i))^n` is positive
Rationalizing
`((2i)/(1+i) * (1-i)/(1-i))^n`
`rArr (((2i)(1-i))/(1-i^2))^n`
`rArr (((2i)(1-i))/(1-(-1)))^n`
`rArr (((2i)(1-i))/(2))^n`
`rArr(i-i^2)^n`
...