DDCC Finals

We held two competitions: Coding Contest and Robot Maneuver.

In each competition, the contestants taking the 3-rd, 2-nd, and 1-st places receive 100000, 200000, and 300000 yen (the currency of Japan), respectively. Furthermore, a contestant taking the first place in both competitions receives an additional 400000 yen.

DISCO-Kun took the X-th place in Coding Contest and the Y-th place in Robot Maneuver. Find the total amount of money he earned.

Constraints

• 1 \leq X \leq 205
• 1 \leq Y \leq 205
• X and Y are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

Print the amount of money DISCO-Kun earned, as an integer.

Examples

Input

1 1

Output

1000000

Input

3 101

Output

100000

Input

4 4

Output

0

inputFormat

Input

Input is given from Standard Input in the following format:

X Y

outputFormat

Output

Print the amount of money DISCO-Kun earned, as an integer.

Examples

Input

1 1

Output

1000000

Input

3 101

Output

100000

Input

4 4

Output

0

样例

3 101

100000