Question

Write a recursive function called `productMatch` which takes

an array of numbers and a target product and returns a boolean indicating

whether any pair of distinct numbers matches the product when multiplied

together.

Your function should accept a default argument called which

holds the return value. Each recursive step should reduce the size of the

numbers array after checking to see if pairs of numbers multiply to match the

target product.



// Examples:

productMatch([4, 2, 5, 8], 16); // true

productMatch([8, 1, 9, 3], 8); // true

productMatch([3, 4], 12); // true

productMatch([3, 4, 6, 2, 5], 12); // true

productMatch([4, 2, 5, 7], 16); // false

productMatch([8, 4, 9, 3], 8); // false

productMatch([3], 12); // false

Answer 1

The 'productMatch' function recursively iterates through an array, checking if any pair of numbers matches a given product. It handles base cases and reduces the array and target product as it recurses to find a match.

Step-by-step explanation:

To write the recursive function productMatch, you must ensure that each recursive call moves closer to a base case. The function needs to check if any pair of distinct numbers from the array has a product that matches the target product. If the array has less than two numbers, there is no possibility of a match, so the function returns false. If there are at least two numbers, the function should iterate through the array, and for each number, it recursively calls itself with a reduced array that does not include the current number, checking if the target product matches by dividing the target product by the current number.

The base cases for the recursion are when the array has no elements left or when the product is found. The approach involves reducing the problem size by removing elements from the array and adjusting the target product value for each recursion step.