King's Bounty Grand Slam Open

[pavned]

Emerald Dragon (4) 5 units, 4000 total HP (800 HP for 1 unit) 475 total damage (95 damage for 1 unit)
Bye

Swordman 285 units, 9975 total HP (35 for 1), 1282,5 toal dam (4,5 dam for 1)
Bowman 200 units, 6800 total HP (34 for 1), 700 total dam (3,5 for 1)

Black Unicorn 66 units, 9240 total HP (140 for 1), 1089 total dam (16,5 for 1)
Thorn Hunter 1250 units, 7500 total HP (6) 1875 total dam (1,5)

Bye
Knight (29) 62 units, 9920 total HP (160 for 1), 1054 total dam (17 for 1)

Archmage (23) 50 units, 7000 total HP (140), 325 total dam (6,5)
Bye

Skeleton 833 units, 11662 total HP (14), 2082,5 total dam (2,5)
Guard Droid 83 units, 8300 total HP (100), 996 total dam (12)

Elf 125 units, 7500 total HP (60), 562,5 total dam (4,5)
Robber 500 units, 10000 total HP (20), 1500 total dam (3)

Bye
Royal Griffin (15) 33 units, 7260 total HP (220), 825 total dam (25)

Troll (10) 9 units, 7020 total HP (780), 630 total dam (70)
Bye

Fire Spider 333 units, 9990 total HP (30), 1498,5 total dam (4,5)
Orc 133 units, 9310 total HP (70), 1130,5 total dam (8,5)

Inquisitor 100 units, 7000 total HP (70), 600 total dam (60)
Skeleton Archer 714 units 7140 total HP (10), 1785 total dam (2,5)

Bye
Cannoneer (20) 45 units, 6300 total HP (140), 360 total dam (

Evil Beholder (2 55 units, 5500 total HP (100), 660 total dam (12)
Bye

Lake Dragonfly 1111 units, 7777 total HP (7 for 1), 2222 total dam (2 for 1)
Veteran Orc 71 units, 9230 total HP (130), 1029,5 total dam (14,5)

Royal Snake 166 units, 10624 total HP (64), 1328 total dam (
Goblin 285 units, 7410 total HP (26), 855 total dam (3)

Bye
Giant (5) 6 units, 5400 total HP (900 for 1), 540 total dam (90 for 1)

I need your inputs and help to determine the Swordman vs Bowman confrontation, I really wonder what are the effect of the fire arrow and ice arrow!

As for the other match-ups, they were pretty easy to settle, except for the Elf vs Robber. The Robber, even with the Attk and Def stats accounting for is doing 1,5 more dmaage. But the fact that he's so slow (only 2 of speed) and lower initiative mean that the elf can it the robber 3 times before getting hit. In the process the Robber lost 124 units and is dealing about the same amount of damage then the elf. The elf having better HP he's losing less units with every hit.

The other one is the Fire Spider vs Orc. The Fire SPider surprisingly good stats and the fact that they are giving the 1st blow means they'll end up winning the match-up against the orc.

The inquisitor bonus attack against undead is a clear winner vs the Skeleton Archer.

The Royal Snake prove to be way too strong for the goblin. I wonder how they'll fair in the next round dealing 2 time the amount of damages of the Goblin

As for the Black Unicorn (2032 damages vs 1125), Guard Droid (1760 vs 1201 and giving the 1st blow) and Veteran orc (1887 vs 125 they are simply to strong for their opponents.

[KongMysen]

Originally Posted by pavned

I need your inputs and help to determine the Swordman vs Bowman confrontation, I really wonder what are the effect of the fire arrow and ice arrow!

With a higher initiative the Bowmen go first. Ice Arrow will reduce the speed of the swordsmen to 2 for 3 rounds. This will make the swordsmen need 4 rounds to reach the bowmen on a medium grid. Objects and/or a larger grid could give the Bowmen an even bigger advance.
Burning does 5-10% dmg so I'm going with the average on 7,5%. It also reduce defence from 16 to 10 for 3 rounds.

Here goes:

Bowman - Ice Arrow 700dmg kills 20 - Swordsmen 9275hp (266 units)
Bowmen - Fire Arrow 900dmg kills 26 - Swordsmen 8375hp (240 units)
Burning 628dmg - Swordsmen 7747hp (222 units)
Bowmen - shoots 840dmg kills 24 - Swordsmen 6907hp (198 units)
Burning 518dmg - Swordsmen 6389hp (183 units)
Bowmen - shoots 840dmg kills 24 - Swordsmen 5549hp (159 units)
Burning 416dmg - Swordsmen 5133hp (147 units)

Swordsmen - Smashing blow 1176dmg. Kills 34. Bowmen retaliates doing 349dmg killing 10. Swordmen 4784hp (137) - Bowmen 5624hp (166)

Bowmen - steps away and shoots 581dmg kills 16. Swordmen 4203 (121) - Bowmen 5624hp (166)

Swordsmen - attacks 545 dmg kills 17. Bowmen retaliates doing 261dmg killing 8. Swordmen 3942 (113) - Bowmen 5079hp (149)

Bowmen - steps away and shoots 522 dmg kills 15. Swordsmen 3420hp (98 ) - Bowmen 5079hp (149)

Swordsmen - attacks 441dmg kills 12. Bowmen retaliates doing 240dmg killing 7. Swordmen 3180hp (91) . Bowmen 4638hp (137)

Not even with Smashing blow as the next move from the swordsmen, will they be able to close the gap. Burning and the 4 free shots from the bowmen should determine the outcome.
bowmen comes out victorious.

[Zechnophobe]

30% dodge chance though, after 30% of their health is gone. That's a pretty decent effect right there.

I also just had a weird question (not relavent to this battle) but some races of units gets +1 morale if they are the only race in your army. This would be true in all such battles in this competition, and for certain units will add a significant boost to their stats and crit chance.

Oh, and is anyone figuring in crit damage when computing average damage?

[Zechnophobe]

Let me elucidate on crit % real quick, in case it wasn't obvious. Each unit, when doing a retaliation or normal attack has a chance to get a critical hit for additional damage. This total damage of a crit is equal to 150% of the upper number on the units damage range. For instance, a fire spider that does 4-5 damage will crit for 7.5 damage.

Just like how you can take an average on the base damage (4-5 averages to 4.5) you can also factor into that average the potential crit damage. A firespider has a crit rate of 15% (If I remember correctly). So it has a 15% chance to go from 4.5, to 7.5 damage. Or, to state it better, a 15% chance to do 3 more damage on average. So we'll simply add that into the average, and say it does .15*3+4.5 damage, or 4.95 damage on average.

That is the number you should use before doing your attack vs defense calculations. Since some untis (dryads) do crits very rarely (5% of the time) and others(bears) very often (25% of the time) it is a non trivial calculation.

Note that I quoted the exact damage and crit rates above off the top of my head, and could be wrong on the particulars, though I am sure of the process.

[pavned]

Originally Posted by Zechnophobe

Let me elucidate on crit % real quick, in case it wasn't obvious. Each unit, when doing a retaliation or normal attack has a chance to get a critical hit for additional damage. This total damage of a crit is equal to 150% of the upper number on the units damage range. For instance, a fire spider that does 4-5 damage will crit for 7.5 damage.

Just like how you can take an average on the base damage (4-5 averages to 4.5) you can also factor into that average the potential crit damage. A firespider has a crit rate of 15% (If I remember correctly). So it has a 15% chance to go from 4.5, to 7.5 damage. Or, to state it better, a 15% chance to do 3 more damage on average. So we'll simply add that into the average, and say it does .15*3+4.5 damage, or 4.95 damage on average.

That is the number you should use before doing your attack vs defense calculations. Since some untis (dryads) do crits very rarely (5% of the time) and others(bears) very often (25% of the time) it is a non trivial calculation.

Note that I quoted the exact damage and crit rates above off the top of my head, and could be wrong on the particulars, though I am sure of the process.

I haven't consider crit chance, is there any match-up you think they'll be ending differently if crit factor would be consider?

I can calculate the outcome if so.

About further calculations, what is the % of creatures summoned for the "summon2" spell used by the units with summoning ability? Cause for the second half of the table there's some summoner and I'm stuck!

[KongMysen]

The Demonologists will summon troops worth 52-105 for each units.
That means an average of 75% and 7500 leadership for the first cast. Still there is such a huge difference between the units summoned.

Druids will summon troops with a total healt of 20-25 HP pr. unit.
That equals 2000-2500HP for 10.000 leadership of druids summoning

Dryads summons thorns worth 8-10 leadership. pr. unit which equals 40-50% of total leadership. 4000-5000 leadership when cast with an unharmed troop.

1 Royal thorn may summon troops woth 150-300 leadership. On average it's 225 leadership which equals 59%.
10.000 Leadership Royal Thorns will summon 5900 leadership smaller thorns

Hayterants lays an egg with 50% leadership
Choshas summons 80 leadership Gobots. That equals 36,4%. 10.000 leadership means 3636 leadershop Gobots.

Royal Griffins summons 150 leadership Angelic Guards each. That's 50% and 10.000 leadership Griffins will summon 5000 leadership Guards.

Demons summon troops worth 90 leadership each. That equals 30% or 3000 leadership for a full stack. Like the Demonologists its really a matter of luck what you get.

I hope that includes everyone. Note that i wrote HP on the druid summon. That's not a mistake

[KongMysen]

Originally Posted by Zechnophobe

30% dodge chance though, after 30% of their health is gone. That's a pretty decent effect right there.

Shit, I totally forgot about the dodge chance. I still think that even with a 30% dmg reduction the Bowmen would win. With a no-retaliation shot + the retaliation blow, the archers already did approx 1.5 dmg each round. Removing 30% dmg would even the odds. But at the time Swordsmen reaches 70% troops the Bowmen would be in the lead hp-wise. In this particular battle where the luck factor is so great Swordsmen will win occasionally. But mostly not.

I didn't make accurate calculations on crit dmg. Mostly because I'm not a math student and because I was lazy.
Bowmen have 10% cance of increasing dmg with 2,5 points on every shot except the first 2, and by 1.25 on every retaliation blow. Swordmen have 8% chance of increasing dmg with 3 points on 2 out of 3 attacks. Numbers seems pretty close.

I do however agree that it can be a mayor factor in some battles. The Royal snake for instance will increase dmg from 8 to 15, 25% of the times. Average dmg goes from 8 to 10.25 for the Royal Snakes. The strike only do 9,5 dmg, so its simply better to use normal attacks unless poisoning is dying out and you need the 100% certainty to reactivate it. This Gran Slam will properly show, why they are so commonly used by a lot of players.
Polar bears and furious goblins are also going to gain a lot from their high crit chance and large dmg intervals. (Polar Bears average 17 - crit 33, 30% of the times- Furious Goblins Average 5 - crit 10,5, 20% of the times)