Precision errors occur due to floating-point limitations. Try using integers or adjusting precision by rounding appropriately.

Floating-point precision errors are common in competitive programming because computers cannot represent some decimals exactly, leading to incorrect results in mathematical calculations. To avoid these errors, consider using integers wherever possible, as integer operations are exact. When you must use floating points, be mindful of precision. A common trick is to multiply all numbers by 10^n (where n is the number of decimal places needed) and work with integers. Alternatively, use fixed-point arithmetic libraries or format the output to a certain precision (e.g., rounding to 6 decimal places) to ensure accuracy. Avoid comparing floats directly, and instead, compare the absolute difference with a small tolerance value (epsilon). Being cautious with floating-point operations will help you avoid precision-related bugs.