Convert x y coordinates to polyline shapefile

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I am trying to process output from a model that simulates the movement of particles in groundwater. The program outputs the particle ID number, the x and y coordinates, and the time at which the particle is at those specific coordinates.Each line contains the ID, X, Y, and T. For example:

No_1......2.34546E+03......7.73783E+03......1.20647E+04
No_2......5.37637E+03......8.52437E+03......1.37673E+04
No_1......2.37357E+03......7.74387E+03......1.21567E+04


There are hundreds of particles and each particle has several hundred x,y,t values. The file sizes can easily be over 100GB. I can sort/group the file so that each particle is listed in order of increasing travel time.

Is there a way to convert a text file with these coordinates into a shapefile that contains one continuous polyline for each particle, from its first x,y location to its final x,y location? I'm not going to do anything with the polylines other than display them, so the attributes aren't really important. I don't have a need to identify or select them based on particle ID, for example.



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