Quadratic equation

Solve the quadratic equation $a\cdot x^2+b\cdot x+c=0(a\ne 0)$.

Input

One line contains three integers — the coefficients of the quadratic equation $a,b$, and $c$. The absolute values of all coefficients do not exceed $100$.

Output

Print on a single line:

• "No roots" if the equation has no roots;

• "One root:" followed by the root, separated by a space, if the equation has one root;

• "Two roots:" followed by the smaller root and the larger root, separated by a space, if the equation has two roots.

It is guaranteed that if solutions exist, all roots are integers.

Examples