The Answer Is Isugeun!

Ukje and Juno are arguing over a great mathematical question: whether the roots of a quadratic equation are isugeun.

The equation has the form $Ax^2 + Bx + C = 0$. When two distinct roots exist, call them $n$ and $m$. When both $n$ and $m$ can be written in the form $2^K$ where $K$ is a positive integer, the equation is isugeun. When the equation is not isugeun but both $n$ and $m$ can be written as integers, it is integer roots. All remaining cases are duldattelleotgeun.

Consider $x^2 - 12x + 32 = 0$: its roots are $4$ and $8$, so it is isugeun. The roots of $x^2 + 3x - 10 = 0$ are $2$ and $-5$, so it is integer roots. The equation $x^2 + 4x + 4 = 0$ has the double root $-2$, so it is duldattelleotgeun, and $x^2 + x + 1 = 0$ has nonreal roots, so it is duldattelleotgeun.

Settle the argument: decide the type of the given quadratic equation.

Three nonzero integers $A$, $B$ and $C$ are given ($-100 \le A, B, C \le 100$).

They are the coefficients of the quadratic equation $Ax^2 + Bx + C = 0$.

Print "이수근" when the answer is isugeun, "정수근" when the answer is integer roots, and "둘다틀렸근" in all remaining cases.