How to fix strcpy so that it detects overlapping strings

Question

In an interview, I was asked to write an implementation of strcpy and then fix it so that it properly handles overlapping strings. My implementation is below and it is very naiv

Answer 1

if a > b; then
    copy a from the beginning
else if a < b; then
    copy a from the ending
else // a == b
    do nothing

You can refer to an implementation of memmove, it's quite like what I said.