NumPy Array Ops: Sum, Subtract, Multiply, Floor Div, Mod, Power #Python #NumPy

In this problem, you are given two integer arrays A and B of dimensions N x M, and you need to perform several element-wise mathematical operations using Python’s NumPy module. The operations include addition, subtraction, multiplication, integer (floor) division, modulus, and exponentiation (power). This problem helps you master #ArrayOperations and #ArithmeticOps with NumPy for efficient numerical computations.

Step-by-Step Explanation:

Input Handling (#InputHandling, #DataProcessing):

The first line contains two space-separated integers, N and M, representing the number of rows and columns, respectively.

The next N lines contain M space-separated integers each, representing the elements of array A.

The following N lines provide M space-separated integers each for array B.

We use Python’s built-in functions input() and map() along with list comprehensions to convert the input strings into lists of integers.

Converting to NumPy Arrays (#NumPy, #ArrayConversion):

After reading the input, we convert the lists into NumPy arrays. NumPy arrays allow for vectorized operations, which makes computations faster and the code more concise.

Performing Element-Wise Operations (#ArithmeticOps, #Vectorized):

Output Formatting (#OutputFormatting):

The result of each operation is printed on a separate line.

The operations are performed in the following order: addition, subtraction, multiplication, integer division, modulus, and power.

This detailed solution demonstrates the power of NumPy to perform complex, element-wise array operations with simple and efficient code. It is ideal for competitive programming and interview preparation, where clarity and performance are key.

Code (Detailed Version):

import numpy as np

def solve():
# Read dimensions N (rows) and M (columns)
n, m = map(int, input().split())

# Read array A: n lines of M integers each

# Read array B: n lines of M integers each

# Perform element-wise operations
addition = A + B
subtraction = A - B
multiplication = A * B
# Use floor division (integer division) in Python 3
int_division = A // B
modulus = A % B
power = A ** B

# Print the results in the required order
print(addition)
print(subtraction)
print(multiplication)
print(int_division)
print(modulus)
print(power)

if __name__ == '__main__':
solve()