Write a program to add two large integers (up to 300 digits each). One approach is to treat each number as a list, each of whose elements is a block of digits of that number. For example, the integer 179,534,672,198 might be stored with block[0] = 198, block[1] = 672, block[2]=534, block[3]=179. Then add the two lists element by element carrying from one element to the next as necessary. Query the user for two large integers and then add them using this method.

Looking to solve this as simply as possible and using only iostream if possible.