Program for Stacking of Cartons to minimise space wastage

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A number of cartons of various sizes are to be filled up in a space of a room. Room dimensions AxBxC. Carton sizes: x1,y1,z1 x2,y2,z2 x3,y3,z3 and so on.

Problem: Without prior plan when we go on filling the space , we end up some cartons not fitting in the left over space. Unplanned stacking results in wastage of space which bars more cartons.

I have tried to build the logic but couldn’t do it in a reasonable way to be able to present here.

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