A positive integer is called balanced if the size of its longest strictly decreasing subsequence (in its decimal expression) is the same as the size of its longest non-strictly increasing subsequence.

For example, the number $77429$ is balanced, because both its longest strictly decreasing subsequence ($742$) and its longest non-strictly increasing subsequence ($779$) have length $3$.

There are $2274$ balanced integers below ${10}^4$.

Find the total number of balanced integers. Give your answer modulo ${10}^9+7$.