**Problem Statement:**

Joey wants to find a triplet of integers x, y, and z such that it satisfies these two conditions:

**(y+z)-x <= A****(y*z)*(-x) <= B**

where A and B are given input integers.

Design a Python program that takes two integers as input A and B and prints these triplets. Also, print the count of triplets.

**For Example**

Input:

Enter A and B: 2 4

Output:

Count of Triplets: 10

Triplets: [0, 0, 0], [0, 0, 1], [0, 0, 2], [0, 1, 0], [0, 1, 1], [0, 2, 0], [1, 0, 0], [1, 0, 1], [1, 1, 0], [2, 0, 0]

**Code for Triples with Properties in Python**:

#function for finding triplets def findTriplets(A,B): triplets = [] for x in range(A+1): for y in range(A-x+1): for z in range(A-(x+y)+1): if(y+z-x<=A and x*y*z<=B): triplets.append([x,y,z]) return triplets #input the integers A,B=map(int,input("Enter A and B: ").split()) triplets = findTriplets(A,B) #print the output print("Count of Triplets: ",len(triplets)) print("Triplets: ",end=" ") for x in triplets: print(x,end=" ")

## Output:

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