**Water Mixing solution codechef** – Chef is setting up a perfect bath for himself. He has $X$ litres of hot water and $Y$ litres of cold water.

The initial temperature of water in his bathtub is $A$ degrees. On mixing water, the temperature of the bathtub changes as following:

- The temperature rises by $1$ degree on mixing $1$ litre of hot water.
- The temperature drops by $1$ degree on mixing $1$ litre of cold water.

Determine whether he can set the temperature to $B$ degrees for a perfect bath.

## Water Mixing solution codechef

- The first line of input will contain a single integer $T$, denoting the number of test cases.
- Each test case consists of four space-separated integers $A,B,X,$ and $Y$ — the initial temperature of bathtub, the desired temperature of bathtub, the amount of hot water in litres, and the amount of cold water in litres respectively.

### Output Format

For each test case, output on a new line, `YES`

if Chef can get the desired temperature for his bath, and `NO`

otherwise.

You may print each character of the string in uppercase or lowercase (for example, the strings `YES`

, `yEs`

, `yes`

, and `yeS`

will all be treated as identical).

## Water Mixing solution codechef

- $1≤T≤2000$
- $20≤A,B≤40$
- $0≤X,Y≤20$

### Sample 1:

4 24 25 2 0 37 37 2 9 30 20 10 9 30 31 0 20

YES YES NO NO

## Water Mixing solution codechef

**Test case $1$:** The initial temperature of water is $24$ and the desired temperature is $25$. Chef has $2$ litres of hot water. He can add $1$ litre hot water in the tub and change the temperature to $24+1=25$ degrees.

**Test case $2$:** The initial temperature of water is $37$ and the desired temperature is also $37$. Thus, Chef does not need to add any more water in the bathtub.

**Test case $3$:** The initial temperature of water is $30$ and the desired temperature is $20$. Chef needs to add $10$ litres of cold water to reach the desired temperature. Since he only has $9$ litres of cold water, he cannot reach the desired temperature.

**Test case $4$:** The initial temperature of water is $30$ and the desired temperature is $31$. Chef needs to add $1$ litre of hot water to reach the desired temperature. Since he has no hot water, he cannot reach the desired temperature.