HELIUM3 - Editorial

editorial
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PROBLEM LINK:

Contest Division 1
Contest Division 2
Contest Division 3

Setter: Daanish Mahajan
Tester: Manan Grover, Tejas Pandey
Editorialist: Kanhaiya Mohan

DIFFICULTY:

Cakewalk

PREREQUISITES:

None

PROBLEM:

A 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 1 gram of Helium-3 provides Y units of power.

QUICK EXPLANATION:

  • If A \cdot B \leq X \cdot Y, the answer is YES. Otherwise, the answer is NO.

EXPLANATION:

The requirement of Chefland is A units of power per year. For B years, a total of A \cdot B units of power is required.

Moon has X grams of Helium-3 and each gram can provide Y units of power. Thus, the total power available is X \cdot Y units.

The assignment would be funded only if the available power is greater than or equal to the required power.

Thus, the answer is YES if, A \cdot B \leq X \cdot Y. Otherwise the answer is NO.

TIME COMPLEXITY:

The time complexity is O(1) per test case.

SOLUTION:

Editorialist's Solution 
#include <iostream>
using namespace std;

int main() {
	int t;
	cin>> t;
	while(t--){
	    int A, B, X, Y;
	    cin>>A>>B>>X>>Y;
	    if(A*B <= X*Y){
	        cout<<"YES";
	    }
	    else{
	        cout<<"NO";
	    }
	    cout<<endl;
	}
	return 0;
}