Kalista's Rend Damage Scaling

I figured out Kalista's lvl 5 E damage scaling. (Patch 7.24) I have been curious about how damage much each additional spear adds to Kalista's rend, and as far as I know nobody else has figured it out ( I only looked for like 5 minutes). So I collected some data in the practice range, did some math and I figured it out. I did all this work I figured I might as well post it for anyone else who cares.

Kalista's lvl 5 Rend will do [60+(60%AD) + [32.593 + (29.630%AD)]*(number of spears-1)]*armor reduction

Each additional spear after the first will add [32.593 + (29.630%AD)] damage to the rend.

Data:

Target 100 armor (50% physical damage reduction)

Kalista 106 ad 1 spear 61, 2 spears 93, 3 spears 125, 4 spears 158 61 + 32 per spear

Kalista 114 ad (D blade) 1 spear 64, 2 spears 97, 3 spears 130 64 + 33 per spear

Kalista 146 ad (bork) 1 spear 73, 2 spears 111, 3 spears 149, 4 spears 187 73 + 38 per spear

Kalista 241 ad (bork, BT) 1 spear 102, 2 spears 154, 3 spears 206, 4 spears 258 102 + 52 per spear

Math: *You can Find the the stats for initial spear anywhere so I just did each spear after wards **Data is not exact because league only shows rounded numbers when hitting stuff so the math is slightly off. It works out to be > 1 damage point off the true value.

D = Damage per spear, B = Base damage, P = percent, A = AD D = B + PA ΔD = P(ΔA) 2(32) = 64, 2(52) = 104 (factoring out 50% damage reduction) ΔD = (104-64) = 40, P = Unknown, ΔA = (241-106) = 135 40 = P(135) P = .296296 = 29.6296% D = 64, B = Unknown, P = .296296, A = 106 64 = B + (.296296)(106) B = 32.592592

(32.592592 + (.296296)(106) = 64)/2 = 32 (32.592592 + (.296296)(114) = 66.37)/2 = 33.185 (32.592592 + (.296296)(146) = 75.85)/2 = 37.925 (32.592592 + (.296296)(241) = 104)/2 = 52

After rounding: Total Rend damage = (60+60%AD+[32.593 + (29.630%AD)]*additional number of spears)*armor reduction