Consider a polynomial function $f(x)$ with integer coefficients: $a_0 + a_1 \cdot x + ... + a_n \cdot x^n$. Lets define $superBig = 10000^{10000^{10000}}$. Someone really wants to know $sgn(f(superBig))$ and $sgn(f(-superBig))$. Please, help him to find the sign of these values. Note that $a_n$ can be zero.

Read more about sgn function on https://en.wikipedia.org/wiki/Sign_function.

Input format

The first line contains single integer n ($0 \leq n \leq 3 \cdot 10^5$).

The second line contains $n+1$ space separated integers $a_i$ ($-10^{18} \leq a_i \leq 10^{18}$) - the coefficients of polynomial.

Output format

Print two space separated integers $sgn(f(superBig))$ and $sgn(f(-superBig))$.

Note that these values can be only 1, 0 or 1.