# Jacobi Symbol

## Details

For each argument `a n`

, print the value of the Jacobi symbol
**J(a, n)**.

Both inputs are non-negative integers, and **n** is odd.**J(a, 1)** is defined as **1**.

If **n** is prime, then **J(a, n)** is defined as **0** if **a=0 (mod n)**, as **1** if **a** is a square
modulo **n**, and **−1** otherwise.

If **n = x*y, x,y>1**, then **J(a, n)** is defined as **J(a, x)*J(a, y)**.

Note that calculating the symbol from the definition is not very efficient
as it requires factorisation of **n**.

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