Movie

Time Limit: 14000/7000 MS (Java/Others)

Memory Limit: 131072/131072 K (Java/Others)

Description

Cloud and Miceren like watching movies.

Today, they want to choose some wonderful scenes from a movie. A movie has $N$ scenes can be chosen, and each scene is associate with an interval [$L$, $R$]. $L$ is the beginning time of the scene and $R$ is the ending time. However, they can't choose two scenes which have overlapping intervals. (For example, scene with [1, 2] and scene with [2, 3], scene with [2, 5] and scene with[3, 4]).

Now, can you tell them if they can choose such three scenes that any pair of them do not overlap?

Since there are so many scenes that you can't get them in time, we will give you seven parameters $N,~L_1,~R_1,~a,~b,~c,~d$, and you can generate $L_1$ ~ $L_N$, $R_1$ ~ $R_N$ by these parameters.

Input

The first line contains a single integer $T$, indicating the number of test cases.

Each test case contains seven integers $N,~L_1,~R_1,~a,~b,~c,~d$, meaning that there are $N$ scenes. The i-th scene's interval is [$L_i,~R_i$]. $L_1$ and $R_1$ have been stated in input, and $L_i~=~(L_{i - 1}~*~a~+~b)~mod~4294967296,~R_i~=~(R_{i - 1}~*~c~+~d)~mod~4294967296$.

After all the intervals are generated, swap the i-th interval's $L_i$ and $R_i$ if $L_i~>~R_i$.

$T$ is about 100.

$1~\le~N~\le~10000000$.

$1~\le~L_1, R_1~\le~2000000000$.

$1~\le~a, b, c, d~\le~1000000000$.

The ratio of test cases with $N~\gt~100$ is less than 5%.

Output

For each test, print one line.

If they can choose such three scenes, output "YES", otherwise output "NO".

Sample Input

2 3 1 4 1 1 1 1 3 1 4 4 1 4 1

NO YES

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