Lucky Number Modulo Calculation

An integer x represents E's lucky number in 2022, which can be either positive or negative. You are required to compute the remainder r when x is divided by 2023 such that:

\( x = k \times 2023 + r \) where \(0 \le r < 2023\).

Note: In many programming languages, using the modulo operator (\(\%\)) on negative numbers yields a negative result. To ensure the remainder is non-negative, if the computed result is negative, add 2023 to it.

For example:

• \(2022 \bmod 2023 = 2022\)
• \(2025 \bmod 2023 = 2\)
• \(-2 \bmod 2023 = 2021\)
• \(-2026 \bmod 2023 = 2020\)

inputFormat

The input consists of a single integer x (which may be negative) representing the lucky number.

outputFormat

Output a single integer r, the remainder when x is divided by 2023, satisfying \(0 \le r < 2023\).

sample

2022

2022