Python: Compute maximum product of three numbers of a given array of integers using Heap queue algorithm

Last update on April 01 2025 13:22:08 (UTC/GMT +8 hours)

8. Maximum Product of Three Numbers

Write a Python program to compute the maximum product of three numbers in a given array of integers using the heap queue algorithm.

Sample Solution:

Python Code:

def maximumProduct(nums):
    import heapq
    a, b = heapq.nlargest(3, nums), heapq.nsmallest(2, nums)
    return max(a[0] * a[1] * a[2], a[0] * b[0] * b[1])
arr_nums = [12, 74, 9, 50, 61, 41]
print("Original array elements:")
print(arr_nums)
print("Maximum product of three numbers of the said array:")
print(maximumProduct(arr_nums))

Sample Output:

Original array elements:
[12, 74, 9, 50, 61, 41]
Maximum product of three numbers of the said array:
225700

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to compute the maximum product of three numbers in a list using heapq.nlargest for the top three and heapq.nsmallest for the two smallest.
• Write a Python function to find the maximum product of any three integers by evaluating candidates from both ends of the sorted list using heapq.
• Write a Python script to calculate the maximum product of three numbers in a list using a heap-based approach and then verify the result using brute-force.
• Write a Python program to determine the maximum product of three numbers from an array, considering both positive and negative values, using heapq.

Python Code Editor:

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