You are given that the numbers are to be filled in the square boxes as shown above (without repetition) such that it represent a sum of a 1-digit, 2-digit, 3-digit, and 4-digit number.
Of all the possible arrangements, find the minimum value of the sum of these four numbers.
Details and Assumptions:
This is an arithmetic puzzle, where would represent the 2-digit number 19 if . It does not represent the algebraic expression .