The following images represent the same board:
This image looks similar to the Empty sudoku puzzle but is not a sudoku. The only similarity are the
< signs between the cells.
This grid is divided into regions (marked by thick borders). The sum of the cells in each region is given. Also, the numbers in each of the regions are distinct - that means no region contains two identical numbers. The colored tiles identify specific numbers. However, not all positions of a specific number are given (with one exception).
Here there are some equations - marked by thick borders and the signs
The numbers at the end of each column/row represent the sum of the particular column/row.
I have edited the second image - there was a mistake in transposing the colors, particularly the yellow/purple cells in C9,D10/D9, E10 - they have moved down one square each. And a second edit - moved the black cell on I3, I4 to the right (J3,J4).
PS. All numbers are positive, i.e. the smallest number is 1. I will let you figure out what is the largest.