String Concatenation with Overlap 两个字符串首尾相连的有多少字符重合

Consider Knuth Morris Pratt. It keeps track of the maximum amount of substring we have matched so far throughout. That means it knows how much of S1 has been matched at the end of S2, and that's the value we're looking for! Just modify the algorithm to continue instead of returning when it matches the substring early on, and have it return the amount matched instead of 0 at the end.

That gives you an O(n) algorithm. Nice!