Given are three positive integers A, B, and C. Compute the following value modulo 998244353:
\sum_{a=1}^{A} \sum_{b=1}^{B} \sum_{c=1}^{C} abc

-----Constraints-----
 - 1 \leq A, B, C \leq 10^9

-----Input-----
Input is given from standard input in the following format:
A B C

-----Output-----
Print the value modulo 998244353.

-----Sample Input-----
1 2 3

-----Sample Output-----
18

We have: (1 \times 1 \times 1) + (1 \times 1 \times 2) + (1 \times 1 \times 3) + (1 \times 2 \times 1) + (1 \times 2 \times 2) + (1 \times 2 \times 3) = 1 + 2 + 3 + 2 + 4 + 6 = 18.