Rooting attempts all failed..now what?

Hi,

I use Samsung Verizon Galaxy S4 Lollipop, version 5.0.1 I545.

I tried kingroot, Kingo root, towelroot, and all the rooting programs out there(both one click and PC versions). However, all of them failed to root my device.

I really, really want to root my device....is there anyway to root this WITHOUT particlar rooting programs? Like, doing all on my own?

Help...