Union overlapping shapefiles (poylgons) and merge the attributes where overlap occurs

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I have 30 shapefiles of overlapping polygons and would like to union them into one shapefile. The attribute table of the 30 layers is exactly the same (two columns, Type and Origin). A new polygon should be formed where overlaps occurred, with only one "Source" column that contains the names of the source layers and the remaining two columns "Type" and "Origin")

Suppose X with Type="A" Origin="99" overlaps partly on Y with Type="B", Origin="666", I would like the union result to Type="A, B" and Origin="99, 666"

Is there a way to do that in R? In QGIS it would take very very long time to do it manually!

Thanks



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