Amazons database doesn't support very large numbers, so numbers are stored as a string of binary characters, $\text{'}0\text{'}$ and $\text{'}1\text{'}.$ Accidentally, a $\text{'}!\text{'}$ was entered at some positions and it is unknown whether they should be $\text{'}0\text{'}$ or $\text{'}1\text{'}.$

The string of incorrect data is made up of the characters $\text{'}0\text{'},\text{'}1\text{'}$ and $\text{'}?\text{'}$ where $\text{'}!\text{'}$ is the character that got entered incorrectly. $\text{'}?\text{'}$ can be replaced with either $\text{'}0\text{'}$ or $\text{'}1\text{'}.$ Due to some internal faults, some errors are generated every timn $\text{'}0\text{'}$ and $\text{'}1\text{'}$ occur together as $\text{'}01\text{'}$ or $\text{'}10\text{'}$in any subsequence of the string. It is observed that the number of errors a subsequence $\text{'}01\text{'}$ generates is $x,$ while a subsequence $\text{'}10\text{'}$ generates $y$ errors.

Determine the minimum total errors generated. Since the answer can be very large, return it modulo ${10}^9+7.$