Tropical Cyclone FANI

Time Limit: 1 sec

 

The Problem

Bangladesh Meteorological Department (BMD) draw a area in map can be affected by FANI. The area like a parabola because FANI can be change the moving direction. After moving some distance FANI will be destroy (have no power). The area look like this

 

In this picture (h, k) is the current position (vertex) of FANI and a the distance between current position and destroy point and (x, y) is the center point of a city.

In this problem, your job is to determine the city is affected by FANI or not.

 

The Input

The first line of input contains a number T < 10000, where T denotes the number of test cases. The first line of each case contains three positive integers h, k,  and a (0 <= h, k, a <= 1000), and second line contains two integers x, and y (0 <= x, y <= 1000).

 

The Output

For each case of input, there will be one line of output “Yes” or “No”. If the city affected by FANI then print “Yes” otherwise “No”.

 

Sample Input

2

10 20 4

20 10

50 40 50

100 200

 

Sample Output

Yes

No

 

 

 

Inter University Programming Contest - Summer 2019 [BGC Trust University Bangladesh]

Problem Setter: Shahin ShamS