Miami GP Solution

Problem

Chef has finally got the chance of his lifetime to drive in the $F1$ tournament. But, there is one problem. Chef did not know about the 107% rule and now he is worried whether he will be allowed to race in the main event or not.

Given the fastest finish time as $X$ seconds and Chef's finish time as $Y$ seconds, determine whether Chef will be allowed to race in the main event or not.

Note that, Chef will only be allowed to race if his finish time is within 107% of the fastest finish time.

Input Format

• First line will contain $T$, number of testcases. Then the testcases follow.
• Each testcase contains of a single line of input, two space separated integers $X$ and $Y$ denoting the fastest finish time and Chef's finish time respectively.

Output Format

For each test case, output $\texttt{YES}$ if Chef will be allowed to race in the main event, else output $\texttt{NO}$.

You may print each character of the string in uppercase or lowercase (for example, the strings $\texttt{YeS}$, $\texttt{yEs}$, $\texttt{yes}$ and $\texttt{YES}$ will all be treated as identical).

Constraints

• $1 \leq T \leq 2\cdot 10^4$
• $1 \leq X \leq Y \leq 200$

Sample 1:

Input

Output

4
1 2
15 16
15 17
100 107

NO
YES
NO
YES

Explanation:

Test case $1$: The fastest car finished in $1$ second. Thus, Chef should have finished on or before $1.07$ seconds to ensure qualification but he finished in $2$ seconds. Hence, Chef will not be allowed to race in the main event.

Test case $2$: The fastest car finished in $15$ seconds. Thus, Chef should have finished on or before $16.05$ seconds to ensure qualification and he managed to finish in $16$ seconds. Hence, Chef will be allowed to race in the main event.

Test case $3$: The fastest car finished in $15$ seconds. Thus, Chef should have finished on or before $16.05$ seconds to ensure qualification but he finished in $17$ seconds. Hence, Chef will not be allowed to race in the main event.

Test case $4$: The fastest car finished in $100$ seconds. Thus, Chef should have finished on or before $107$ seconds to ensure qualification and he finished just in time for qualification. Hence, Chef will be allowed to race in the main event.

Program :

 /* package codechef; // don't place package name! */

import java.util.*;

import java.lang.*;

import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */

class Codechef

{

public static void main (String[] args) throws java.lang.Exception

{

// your code goes here

Scanner sc=new Scanner(System.in);

int t=sc.nextInt();

while(t-- != 0)

{

    int n=sc.nextInt();

    int max=sc.nextInt();

    

    int count= (n*107)/100;

    

    if(count>=max)

    {

        System.out.println("YES");

    }

    else

       System.out.println("NO");

}

}

}