Clair and Bob play a game.Clair writes a string of lowercase characters, in which Bob sets the puzzle by selecting one of his favorite subsequence as the key word of the game. But Bob was so stupid that he might get some letters wrong.
Now Clair wants to know whether Bob's string is a subsequence of Clair's string. and how many times does Bob's string appear as a subsequence in Clair's string. As the answer maybe too large, you should output the answer modulo $10^{9}+7$.