Please explain how Katarina is balanced.

Don't worry, I'll wait.

I mean seriously. No resource pool to manage, just cool downs. Ridiculous AP/AD scaling, and not to mention, if she has DAMAGED a champion within 3 seconds that dies, doesn't even have to be by her hand per say, then her cool downs are reduced by 15 seconds. That's a complete reset on q,w,e as even at lvl 1 with no cool down reduction none of those cool downs are longer than 12 seconds.

All abilities require NO COST to activate, and scale off of both AP and AD, which actually scales significantly harder on AD than AP for her w and r.

She has a free poke.

She has an engage and a disengage in the same ability, which gives her a flat 15% dmg reduction for 1.5 seconds if she engages an enemy with it.

And if she successfully hits an enemy champion with her w, she's rewarded with a movement speed buff for 2.5 seconds.

It's absolutely ridiculous, especially when you think about it this way... Even Zed and Yasuo have some sort of resource bar to manage. Don't compare her to Riven either. Riven has been gutted and the most her abilities scale is a flat, 1 to 1 AD ratio, with her q at max level scaling at .6 to every 1 bonus AD she has. Her runic stacks aside that deteriorate rapidly and must be used with an auto attack and are bound by her attack speed, or her controllers animation canceling ability, nothing about Riven's kit is remotely as crazy as Kat's.

Kat's ult scales at 3.75 for every one AD point and 2.5 for every AP point that unloads in 2.5 seconds. If it kills three enemies it can be instantly reset, and oh hey, theres something else. IT conveniently targets EXACTLY 3 enemies nearest to her.

In reality this enables people to play a champion that can literally sit under her tower, spam her q poke and run away until the cool down is reset and come back to send it again. When nearly EVERY SINGLE OTHER MID LANE CHAMPION is governed by Mana, Energy, etc. there is no penalty for her to literally have no impact on a game besides dish our FREE damage every few seconds. Until an opposing champion with a resource pool runs dry and has to either back or be forced to engage her without any resources to counter attack.

It absolutely does not make sense, and even further at 0 cost for any of her abilities why are free abilities allowed to scale so ridiculously enough to be so closely compared to mage burst damage? A knife throwing mercenary has comparable, if not BETTER damage scaling than true magic champions that actually have a resource to manage, I mean wtf is fair anyway?

I do not understand how you call a champion balanced that can out last anyone that cannot deplete her health and continue to farm and push objectives and lanes when the only time she pauses this is to add more damage to her out of control scaling that makes her FREE abilities that much more effective and still very much FREE.

I don't know how League got to this state which there are champions with and without manageable resource pools to cast abilities but how is this even remotely fair in competitive play? I don't want to hear she's squishy, or she's susceptible to cc. MOST MAGES ARE SQUISHY AND SUSCEPTIBLE TO CC, why does this one not have to pay to cast, or any other champion lacking a manageable resource bar for that matter?

I just simply do not understand how you consider one champion with a finite governing resource pool to deal damage through casting abilities (most mages) to be balanced with a knife thrower who has an INFINITE ability to cast damage as long as she's not dead at no cost except for her cool downs THAT RESET WHEN SHE TOUCHES SOMEONE WHO DIES WITHIN 3 SECONDS.

I mean congrats on that, most champions do actually need to be alive to deal damage, we wouldn't want her to be OP I guess.