Big-Number Arithmetic Simulation

The Big-Number Arithmetic Simulation technique is applied when tackling problems characterized by specific invariants in the problem state or constraints:

• Core Strategy: Simulate elementary-school arithmetic (add/multiply) digit-by-digit with carries, because the operands exceed native integer range.
• When to use: Look for opportunities where repeated re-computation can be replaced by maintaining monotonic properties, state windows, or relational pointers.
• Interview Signal: Demonstrating this pattern shows mastery of Math foundations, reducing worst-case algorithmic complexity.