- Mathematical

Check if A and B can be reduced to 0 by decrementing with x and y with absolute difference at most K

Given three integers A, B, and K. The task is to check whether A and B can be reduced to zero by decrementing x and y from A and B respectively such that abs(x – y) ≤ K.Example:Input: A = 2, B = 7, K = 3Output: YESExplanation: Decrement values in the following way:Decrement 1 from A and 4 from B such that abs(1 – 4) ≤ 3, therefore, current value of A = 1 and B = 3.Decrement 1 from A and 3 from B such that abs(1 – 3) ≤ 3, current value of A = 0 and B = 0.So, it is possible to reduce both the numbers to 0. Input: A = 9, B = 8, K = 0Output: NOApproach: The task can be solved with a simple observation. The idea is to find the minimum and maximum out of A and B. If the minimum number multiplied by (1+K) is less than the maximum, then it is not possible to convert A and B to zero, else they can be converted to zero.Below is the implementation of the above approach:C++#include using namespace std;bool isPossibleToReduce(int A, int B, int k){            int mn = min(A, B);    int mx = max(A, B);                if (mn * (1 + k) < mx) {        return false;    }        return true;}int main(){    int A = 2, B = 7;    int K = 3;    if (isPossibleToReduce(A, B, K))        cout