Magic Rabbit

题号：NC232532
时间限制：C/C++/Rust/Pascal 1秒，其他语言2秒
空间限制：C/C++/Rust/Pascal 256 M，其他语言512 M
64bit IO Format: %lld

题目描述

Little Rabbit is a magic rabbit living in human society. He drinks magic potion every day to disguise himself as a human. To make the potion, Little Rabbit needs to find two kinds of magic material, USAO and Camellia, and dissolve them in water.

One day, Little Rabbit wants to make some potion, but he's surprised to find that the materials are all used up, including the magic materials and the water. Luckily, Little Rabbit still has $3$ bottles of ready-made potion. The potion in the first bottle has $a_1$ mg/ml of USAO and $b_1$ mg/ml of Camellia. The potion in the second bottle has $a_2$ mg/ml of USAO and $b_2$ mg/ml of Camellia. The potion in the third bottle has $a_3$ mg/ml of USAO and $b_3$ mg/ml of Camellia. We can assume that there's enough potion in the bottles.

Little Rabbit wants to know whether he can make a kind of potion that has $x$ mg/ml of USAO and $y$ mg/ml of Camellia with the help of the $3$ bottles of ready-made potion.

输入描述:

The first line of the input contains two integers  and  (), indicating that the potion in the first bottle has  mg/ml of USAO and  mg/ml of Camellia.

The second line of the input contains two integers  and  (), indicating that the potion in the second bottle has  mg/ml of USAO and  mg/ml of Camellia.

The third line of the input contains two integers  and  (), indicating that the potion in the third bottle has  mg/ml of USAO and  mg/ml of Camellia.

The fourth line contains an integer  (), indicating the number of Little Rabbit's queries.

In the next  lines, each line contains two integers  and  (), indicating that Little Rabbit wants to know whether he can make a kind of potion that has  mg/ml of USAO and  mg/ml of Camellia.

输出描述:

For each query, if Little Rabbit is able to make the potion, output YES in a single line, otherwise output NO in a single line.

示例1

输入

复制

输出

复制

YES
NO
YES
NO

说明

For the sample input, when  and , Little Rabbit can use  ml of the potion in the first bottle and  ml of the potion in the second bottle. Then there is  mg of USAO and  mg of Camellia. The total volume of the liquid is  ml. As a result, the potion has  mg/ml of USAO and  mg/ml of Camellia, which meets the requirement. So the answer is YES.
When  and , Little Rabbit needs to make pure water with the help of the ready-made potion, which is obviously impossible. So the answer is NO.