Roots! Really?

A quadratic equation

$ax^2 + bx + c = 0$

has two solutions $x_{+}$ and $x_{-}$, called roots, given by

$x_{\pm} = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The two roots may be real or complex, and they may be identical or distinct.

You are given a quadratic equation and an interval $[s, t]$ with $s \le t$. Decide whether the equation has a real root inside $[s, t]$. That is, taking $r$ to be either of the roots $x_{-}$ and $x_{+}$, is there an $r$ with $s \le r \le t$?

The first line contains an integer $N$, the number of test cases ($1 \le N \le 1000$).

Each of the next $N$ lines contains five integers $a$, $b$, $c$, $s$, and $t$ separated by spaces, with $-10^7 \le a, b, c, s, t \le 10^7$, $a \ne 0$, and $s \le t$.

Print one line for each test case. Print "Yes" if the equation $ax^2 + bx + c = 0$ has a real root in the interval $[s, t]$, and "No" otherwise.