Fool`s Day
In a rectangular 2D world everything is rectangular. Rectangular people live in rectangular houses, drive rectangular cars and work in rectangular offices. The only day of a year when everything is not rectangular is April 1^st — the Fool's Day. On that day people send each other postcards with jokes and these postcards have a form of parallelograms. To support this tradition the rectangular world industry produces different parallelogram postcards and envelopes.
Mr. Rect Squarowski wants to start a new business. He would like to provide a web service that determines whether a Fool's Day postcard fits Fool's Day envelope. Help Mr. Squarowski to earn his next billion of money rects.
Input
The first line of the input contains integer number n (1 ≤ n ≤ 1000) — the number of test cases. Each test case consists of six integer numbers. The first three numbers describe an envelope, the last three — a postcard.
Three numbers describing each parallelogram are the lengths of its adjacent sides and its diagonal respectively. Specified lengths will not be greater than 1000.
It is guaranteed that the corresponding parallelogram exists and it is not degenerate.
Output
For each test case output a single line. Print "Yes" if a postcard fits an envelope or "No" if it doesn't.