Another way of saying this is that the first dichro needs to pass A and reflect B, the second dichro needs to passs A+B and reflect C, the third dichro must pass A+B+C and reflect D, and that last poor dichro must pass all of A+B+C+D and reflect E. See how complicated it gets the more dichros you put into the system?
For sure! Gets very complex...
Maybe something simpler would be a better fit...