Introduction
It should be noted that this composition was nerfed before being in the new patch, but it still one of the best for sure. In this composition, you have to play Slow Roll in level 6, until you hit the Katarina 3-star. This composition is played with a tactic called Slow Roll, which mean that you will stop in some levels to roll above 50 gold, to find some 3-star units. Your main carry will be Katarina, and your secondary carries will be other Crowd Diver. As for tanks, the items will go in Neeko.
Augments
The best augments are Cybernetic and Combat Augments. Also, Economy Augments are very nice as you will need a lot of gold to roll down for 3-star units (you should never have 3 augments of this type, one or maybe two are fine, but no more). Furthermore, the augments that give you items are not bad because you will have Zed as an off-tank, and the items that you may have left over from Ad can go in Yone or Qiyana. Additionally, it is important to emphasize that because of being a Reroll composition, any augment that gives you experience should never be take.
Best Augments
Items
Katarina with two healing items hits a very good powerspike, so apart from the Hand of Justice that give Superfan, it is highly recommended to play it with another Hand of Justice (Spear of Shojin is not so bad). Katarina's last item will be Jeweled Gauntlet. Neeko will carry the tank items, and the two best are Steadfast Heart and Redemption or Warmog's Armor. Zed will be the off-tank holder, with two healing items like Hand of Justice or Bloodthirster and Edge of Night (Sterak's Gage or Titan's Resolve are not so bad). Other interesting items would be the Sunfire Cape since it is very good in early and reducing the healing of the enemies is very relevant, and Thief's Gloves since it is generally good.
Best Items
Other Good Items
Positioning (by @_Garchompro_)
Katarina needs to be on the same side of the enemy (doesn't matter if it is on the second or third row). Also, the strongest tank (in this case will be Neeko), have to be in front of the Katarina.
Best Positioning
Early-Mid Game
To play this composition, you need Katarina headliner +1 Crowd Diver. If you can't find it level 4 and 5 is not so bad, but it is essential to have it at level 6. So, at level 4 you play Superfan with the Katarina headliner, and at level 5 you play Gnar. When you reach level 6, you will just play 4 CrowDiver and 3 Superfan, and Slowroll for Katarina 3-star. If you find a lot of Yone units, you can play it 3-star, but in this case the off-tank items will go on him instead of Zed.
Lvl 4 Comp
Lvl 5 Comp
Lvl 6 Comp
Late Game
When you find Katarina 3-star, you will just level up until level 8. In this level, you will just play 6 Crowd Diver.