CF13B Letter A

Little Petya learns how to write. The teacher gave pupils the task to write the letter $ A $ on the sheet of paper. It is required to check whether Petya really had written the letter $ A $ . You are given three segments on the plane. They form the letter $ A $ if the following conditions hold: - Two segments have common endpoint (lets call these segments first and second), while the third segment connects two points on the different segments. - The angle between the first and the second segments is greater than $ 0 $ and do not exceed $ 90 $ degrees. - The third segment divides each of the first two segments in proportion not less than $ 1/4 $ (i.e. the ratio of the length of the shortest part to the length of the longest part is not less than $ 1/4 $ ).

The first line contains one integer $ t $ ( $ 1

Output one line for each test case. Print «YES» (without quotes), if the segments form the letter $ A $ and «NO» otherwise.