Calculate in $$$[L, R]$$$ how many numbers whose sum of digits and sum of squares of digits are primes ?

Limit :

• $$$1 <= L <= R <= 10 ^ {18}$$$

• $$$T <= 10 ^ 4$$$: is the number of queries $$$[L, R]$$$.

For example, in the $$$[1, 20]$$$ there are 4 numbers which are $$$11, 12, 14, 16$$$.

I did digit dp for each query and got TLE