Egg Tart Feast

Given two magical numbers a and b, determine the final number of egg tarts that Tianyi can eat based on the following process:

• First, pre-cook 2^a+2 egg tarts.
• Then, multiply that number by b to obtain k = b \times 2^a+2.
• Tianyi likes round hundreds. Thus, let p = \lceil \frac{k}{25} \rceil \times 100, where \lceil x \rceil means rounding up to the nearest integer.
• Finally, to ensure Tianyi doesn't eat too many, take p modulo 998344353.

Your task is to compute and output p \bmod 998344353 given the numbers a and b.

inputFormat

The input consists of a single line with two integers a and b separated by a space.

outputFormat

Output a single integer, which is the value of p \bmod 998344353.

sample

1 1

100