PC condition

Yes both will be fine.

http://www.notebookcheck.net/Computer-Games-on-Laptop-Graphic-Cards.13849.0.html?&architecture=0&archive=1&benchmark_values=&codename=0&condensed=0&corespeed=0&daysold=0&deskornote=0&directx=0&dx=0&gameselect%5B%5D=249&gpu_fullname=1&gpubenchmarks=0&itemselect_2822=2822&itemselect_4022=4022&itemselect_4158=4158&itemselect_4457=4457&itemselect_5073=5073&memorybus=0&memoryspeed=0&month=&multiplegpus=0&or=0&pixelshaders=0&professional=0&search=&shaderspeed=0&showBars=0&showClassDescription=0&showCount=0&sort=&technology=0&type=&vertexshaders=0

770M will do more than the 840M obviously.

Watch out for Optimus (switching)

http://imgur.com/a/6KJBH#87BGUaE
(Replace BF:H with PvZ; it's the same thing)

nVidia Control Panel -> 3D Settings -> Program Settings -> Add Program (PvZ) -> High Performance Processor