One day, Binbin picked up a string S at the beach, but she likes string T. Therefore, she needs to take some action on the string to make the string S become the string T. She has two kind of operation to modify the string. The first operation is to delete Y characters after the X-th position of the string (including the X-th character).The second operation is to insert the string A after the X-th position of the string, if you want to insert it at the beginning, just insert A after the 0th position.

For example, there is a string S="iwannaac", choose the first operation, delete 2 characters after the 7th character, it will become "iwanna"; then choose the second operation, insert the string after the 6th character "wa", it will become "iwannawa".

|S| represents the length of the string S.
|T| represents the length of the string T.