You're given $2$ huge integers represented by linked lists. Each linked list element is a number from $0$ to $9999$ that represents a number with exactly $4$ digits. The represented number might have leading zeros. Your task is to add up these huge integers and return the result in the same format.

Example

For a $=[9876,5432,1999]$ and b $=[1,8001],$ the output should be

solution$($a$,$ b$)=[9876,5434,0].$

Explanation: $987654321999+18001=987654340000.$

For a $=[123,4,5]$ and b $=[100,100,100],$ the output should be

solution$($a$,$ b$)=[223,104,105].$

Explanation: $12300040005+10001000100=22301040105.$