3 weeks from (cold) apps to offers, with somewhere around 140 apps. My approach may be mildly unusual, but I think there's a bunch of very good reasons to play it like a numbers game. Off the top of my head:

- The more interviews, phone screens, etc. you have, the better you get at them. Better studying than studying.

- Having a competing offer, even if you don't plan on taking it, is going to make companies you DO want to work for process your application far more quickly...and maybe even be more likely to hire you.

- It takes longer to figure out you probably won't want to work for a company than it does to do the minimal amount of research necessary to whip up a cover letter and send it in. Worst case, they want to interview you, and you get additional interview practice. No point doing the rest of the research on a company until you're at least to a phone screen.

- You'll be surprised at companies you thought you wanted to work for that you don't, and companies you'd never heard of that you fall in love with.

Good luck