When in Seafoam Islands, I stumbled across Articuno half by accident (was there to get the Ice Beam TM), so figured 'hey, what the hell?' Saved the game, paralyzed, got it down to red and started throwing balls. Had 38 Dusk Balls, 7 Ultra Balls and 1 Fast ball, which had been given to me, and figured it should be fine as I caught Suicune in 4 Ultra balls, Lugia in about 10 and Moltres in 10. All Dusk balls ran out, and I ended up catching Articuno on the last Ultra Ball after making the realistic realization that I was going to fail. I had, by this point stopped looking at the screen, was just hitting the buttons until my balls ran out.