Divisible Duel Practice Coding Problem

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Divisible Duel

Alice loves working with numbers. One day, she takes two integers $X$ and $Y$ ( $Y \ge X$ ) and becomes curious about the numbers between them.

She looks at all integers between $X$ and $Y$ (inclusive) that are divisible by $X$ .
Among these numbers, she separates them into even and odd numbers.

Let the sum of all even numbers Alice has be $S_{even}$ , and the sum of all odd numbers she has be $S_{odd}$ .

If $S_{even} \ge S_{odd}$ , Alice will be happy; otherwise, she will be sad.
Alice wants to know whether she will be happy or not.

Input Format

The first line contains a single integer $T$ — the number of test cases.
Each of the next $T$ lines contains two integers $X$ and $Y$ , representing the lower and upper bound of integers Alice looked at.

Output Format

For each test case, print the answer on a new line: YES if Alice will be happy, otherwise NO.

You may print each character of the answer in uppercase either or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).

Constraints

$1 \leq T \leq 10^4$
$1 \leq X,Y \leq 100$

Sample 1:

Input

Output

YES
NO
YES

Explanation:

Test case $1$ : Alice has $X = 1$ and $Y = 4$ .
The multiples of $X$ in this range are $1, 2, 3, 4$ .
So, $S_{even} = 2+4 = 6$ , and $S_{odd} = 1+3 = 4$ .
Since $S_{even} \ge S_{odd}$ , Alice is happy.

Test case $2$ : Alice has $X = 3$ and $Y = 9$ .
The multiples of $X$ in this range are $3, 6, 9$ . So, $S_{even} = 6$ , and $S_{odd} = 3+9 = 12$ .
Since $S_{even} \lt S_{odd}$ , Alice is not happy.

More Info

Time limit1 secs

Memory limit1.5 GB

Source Limit50000 Bytes

Author(s)

archit_adm

Tester(s)

kingmessi

Editorialist(s)

iceknight1093

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