# CodeChef - Chef and NextGen

Chef and NextGen problem from CodeChef.

Problem

Chef is currently working for a secret research group called NEXTGEN. While the rest of the world is still in search of a way to utilize Helium-3 as a fuel, NEXTGEN scientists have been able to achieve 2 major milestones.

1. Finding a way to make a nuclear reactor that will be able to utilize Helium-3 as a fuel
2. Obtaining every bit of Helium-3 from the moon's surface

Moving forward, the project requires some government funding for completion, which comes under one condition: to prove its worth, the project should power Chefland by generating at least `A` units of power each year for the next `B` years.

Help Chef determine whether the group will get funded assuming that the moon has `X` grams of Helium-3 and 11 gram of Helium-3 can provide `Y` units of power.

Input Format

• The first line of input contains an integer `T`, the number of testcases. The description of `T` test cases follows.
• Each test case consists of a single line of input, containing four space-separated integers `A`, `B`, `X`, `Y` respectively.

Output Format

For each test case print on a single line the answer — `Yes` if NEXTGEN satisfies the government's minimum requirements for funding and `No` otherwise.

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

Constraints

• 1 <= T <= 1000
• 1 <= A, B, X, Y <= 1000

Explanation

Test case 1: Chefland requires `A = 1` units of power for the next `B = 2` years. In total, the moon must be capable of providing `A⋅B = 2` units of power. There are in total `X = 3` grams of Helium-3 on the moon which is capable of providing `X⋅Y = 12` units of power. `12 > 2`, so the project satisfies the minimum requirements for funding. Thus, the answer is `Yes`.

Test case 2: The total amount of power needed by Chefland is `A⋅B = 12`, whereas the total that can be provided by the Helium-3 present on the moon is `X⋅Y = 2`, which is insufficient to receive funding, so the answer is `No`.

Test case 3: The total amount of power needed by Chefland is `A⋅B = 2⋅18 = 36`, and the total that can be provided by the Helium-3 present on the moon is `X⋅Y = 9⋅4 = 36`, which is sufficient to receive funding, so the answer is `Yes`.

Test case 4: The total amount of power needed by Chefland is AB = 1⋅100 = 100, and the total that can be provided by the Helium-3 present on the moon is XY = 2⋅49 = 98, which is insufficient to receive funding, so the answer is `No`.

## Solution of Java:

``````import java.util.*;
import java.lang.*;
import java.io.*;

class Codechef2{
public static void main(String[] args){
Scanner input = new Scanner(System.in);
int test = input.nextInt();
while (test > 0) {
int A = input.nextInt();
int B = input.nextInt();
int X = input.nextInt();
int Y = input.nextInt();

int total_power_needed = A * B;
int total_power_generated = X * Y;

if (total_power_generated >= total_power_needed){
System.out.println("Yes");
}
else {
System.out.println("No");
}
test = test - 1;
}
input.close();
}
}``````

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