Math question for a 4x3 balancer

[Rezznor7]

https://steamcommunity.com/sharedfiles/filedetails/?id=3337251834

Is there a better way for this?

I have 4 inputs coming in at 600/min, but I want to condense the lines to max my Mk. 5 belts which can take 780/min. 4 x 600 = 2400. 2400 / 780 = 3.07. So I can max 3 Mk. 5 belts with a smidge (60) left over.
So each of the 4 incoming lanes enters their own smart splitters. Let us deal w/ only 2 at a time: group A and group B.
The 2 inputs from group A enter their own smart splitters. From there the primary output goes to a merger. Of course, the single lane coming out of the merger cannot handle the combined inputs of the 2 sources, so there will be a backup of material. The smart splitters then send the overflow from each side out.
THE MATH SO FAR:
two inputs @ 600/min each. Belts can only hold 780. 600 x 2 = 1200 - 780 = 420. So the combined splitters send off 420 in overflow.
Duplicate this for group B.

So now we have 2 dedicated lines @ 780 items/min, w/ a combined value of 840 in overflow. Obviously 840 can't go on a Mk. 5 belt without leftovers, so each side gets another smart splitter, and from those the primary outputs goes to a merger. That makes now 3 belts @ 780/min, w/ 30/min coming from each of that last group of smart splitters. That combined overflow of 60 I have temporarily going to a sink just to get rid of the excess.

My question before the jury is: Is there a better way of merging a 4 in to 3 out w/ all the leftovers on a final belt?

[kLuns]

I have a different design for the same method for maxing out lines.

1 merger gets any/ any undefined, the other gets overflow
the merger with overflow goes into the next smart splitter with a new incoming line.

https://steamcommunity.com/sharedfiles/filedetails/?id=3320883522
The merger with the 180 degree turn gets the overflow, the other merger goes to the next step with the full belt.
On the side with the overflow belt you can make another system and keep filling up.
But it seems you get the same results. It works very well.

[Aranador]

Remember that if your belt can only take 780, then it cant take more (amazing I know). So - you can have one line that you split 3 ways, merge two of those onto a 600 belt, and they'll only accept a total of 780. Take the 3rd line, split that two ways - with the over flow on a mk 1 belt (limiting it automatically to 60) and the other half merged to the third belt.

Essentially, you stuff 4x600 into 3x780 + 60. No overflow, only the outputs you want.

[Helen Carnate]

Kinda what Arandor said. If you are ok with clipping of lifts you can feed 3 of the 4 lines into mergers. Then use a smart splitter to take the 4th line and have it prioritize the line to the sink or whatever and put in a tier 1 belt so it will be forced to go at 60 leaving the remaining 540 to be split up between the other 3 mergers. Tested it out with 4 miners set at 600 and 3 mk 5 belts going to sinks plus 1 mk 1 belt. Everything fills perfectly if you can deal with the clipping of the lifts. 2 pics from opposite sides.


https://steamcommunity.com/sharedfiles/filedetails/?id=3337653592


https://steamuserimages-a.akamaihd.net/ugc/2474254990003766926/B1BF1863F1CBD2D048BE96AAB4D86C62A758A1E1/?imw=5000&imh=5000&ima=fit&impolicy=Letterbox&imcolor=%23000000&letterbox=false