I don't know if this can be solved logically or not. I solved as much as possible using logic and then referred to the puzzle titled "Inverse swinub sprite" to guess the rest.
You can bruteforce the C1 with 2D logic, work on it for first 3 column, then brute force the top row. Afterwords it's a mix of guesswork and working out a circular-ish object.
Complete guess work / inversion from other image.