32914번 - Balls of Three Colors 다국어

문제

There are $r$ red, $g$ green, and $b$ blue balls. How many ways are there to arrange all these balls in a row such that any two adjacent balls have different colors? Since this number can be very large, output its remainder when divided by the prime number 998ドル,244円,353円$.

입력

You are given three integers separated by spaces: $r,ドル $g,ドル and $b$. Each of the integers is from 1ドル$ to 10ドル^5$ inclusive.

출력

Output a single integer: the required number of ways modulo 998ドル,244円,353円$.

제한

힌트