Running Product of Integers

Compute the product of all integers from the start of the list up to each position.

prefix product lists accumulation

Write a function `running_product(nums)` that takes a list of integers `nums` and returns a new list where the element at index `i` is the product of all integers from index `0` up to index `i` inclusive. For an empty list, return an empty list.

Constraints

The input list may be empty. Each integer is any Python integer (can be negative, zero, or positive). The list length is at most 10^4. The product may be large but within Python's arbitrary precision integer range.

Example

>>> running_product([1, 2, 3, 4])
[1, 2, 6, 24]
>>> running_product([3, -1, 2])
[3, -3, -6]
>>> running_product([])
[]

10 points ~10 min

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Hints

Keep a running variable that holds the product so far as you iterate.

For each number, multiply the running product by that number and append it to the result.

You don't need to modify the original list; build a new list.

Test Results

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