Getting Arithmetic Results in the Modulo (10^9 + 7) Format

Date: 2024-10-14

This article explains modular arithmetic operations in Java, crucial for handling large numbers in competitive programming. It covers modular addition, subtraction, multiplication, and exponentiation, emphasizing the use of the modulus 10⁹ + 7 to prevent overflow. The article also details finding the modular multiplicative inverse using Fermat's Little Theorem, enabling modular division. These techniques are essential for efficient computation with large numbers, particularly in algorithms with time and memory constraints.

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