Three canal army men were digging a ditch. First, the first canal soldier worked half the time it took the other two to dig the entire ditch, then the second worked half the time it took the other two to dig the entire ditch, and finally the third worked half the time it took the other two to dig the entire ditch. As a result, the ditch was dug. How many times faster would the ditch be dug if all three had worked together from the very beginning?
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