[Guest]

It was one of those wild wild west years where innumerable battles were fought between Earp and Jessie clans. Gunslingers were up for grabs then and highly skilled ones were always on demand. We would call them Green (G), Blue (B) and Red ® guys.

Mr.IDoILike was the only person respected and trusted by both clans and hence he was invited as witness/referee to all fights and he kept the fight fair and square, provided the clans agree to his weird conditions/mischief. Enough of the story, and here are the characteristics of those gunslingers.

1. Gun preference:

-----------------------------------------

G uses 2 shooter

B uses 4 shooter

R uses 6 shooter

2. Starting Position facing:

-----------------------------------------

Team1: RBBBBBGGGGG (R,B,G)

Team2: GGGBBBBR (G,B,R)

3. Target & Aiming pattern:

-----------------------------------------

G - All Bs first, then all Rs, then all Gs.

B - All Rs first, then all Gs, then all Bs.

R - All Gs first, then all Bs, then all Rs.

Examples: Starting from nearest of a color, go right till end of color then start from leftmost of same color, again to the right. If two are nearest, take right one first. Consider G standing straight to the bold opponent. Then his target marking will be the numbers.

G(8)G(9)G(7)B(5)B(6)B(1)/b]B(2)B(3)B(4)R(10)

542316

G(5)G(4)B(2)B(3)B(1)R(6)

543x12

G(5)G(4)B(3)xB(1)B(2) - x is already dead/fled.

4. Shooting pattern:

-----------------------------------------

G 10101010101<R>

B 1100110011<RR>

R 111000111<RRR>

(1=Trigger; 0=Pause; R=Reload; Each takes 1 second)

A target is hit till it dies or flees.

A target cannot die/flee until he complete his chance (trigger or wait), considering, all happens real time.

If a target is qualified for two or more shooters, all will hit that target same time even if it dies/flees.

5. HitPoints:

-----------------------------------------

G has 2HP

B has 4HP

R has 6HP

(R cannot not die but flees after 6 hits)

Edited October 23, 2010 by aaronbcj

[Guest]

Sequence for targeting, examples: G stands facing the bold opponent.

1. G(8) G(9) G(7) B(5) B(6) B(1) B(2) B(3) B(4) R(10)

2. G(5)G(4)B(2)B(3)B(1)R(6)

3. G(5)G(4)B(3)xB(1)B(2) - x is already dead/fled.

Battle#1:

-------------------------------

1. Leaders are Red.

2. There are as many Blues as others.

3. Earp clan has 4 Greens.

4. Jessie clan has the most Blues.

Mr.IDoILike Factors

-------------------------------

1. All are given additional bullets enough to fully load once.

2. All have to use the guns from his inventory only.

3. Without their knowledge, he has loaded those guns in following sequence.

2S = !o

4S = !o!o

6S = !o!o!o

1 bullet, 1 empty slot so on.

14 shots were heard in first 3 seconds, followed by 27 more, after which, Earp clan won by 1 Blue standing.

Had gunmen started with half their HPs, then Jessie clan would have won by 1 blue standing.

Questions: What was the composition of each clan and how many seconds did the fight last in both the cases?

Edited October 24, 2010 by bonanova
Changed numbers to 14 and 27 at request of OP

[Guest]

Please read it as

14 shots were heard in first 3 seconds, followed by 27 more ....

MODS: I couldn't edit, seems there is limit: Please give edit access to my posts?

[Guest]

A stray bullet strikes Mr.IDoILike and all chaos ensues...

[araver]

Question about something over which a few rules are still unclear: The statement "Then his target marking will be the numbers" is unclear and also examples are not clarifying the following situation:

A shooter targets an opponent and shoots him until his opponent dies/flees OR does he change the target according to the target&aim algorithm every time it has a trigger action, even if his target is not down?

E.g.

team 1: G(1)G(2)

team 2: R

The Red in team 2 fires on the first G until he dies or does he aim in second 1 at G(1) and second 2 at G(2)?

Let NB, NG, NR be the Number of Blue, Green and Red shooters.

From 1. Leaders are Red -> NR>=2 (at least one R for each clan)

From 3. Earp clan has 4 Greens -> NG>=4 (maybe Jessie clan has greens, maybe not)

From 2. There are as many Blues as others -> NB=NG+NR. With the other clues this gives NB>=6.

From Factor 3. (how the guns are loaded) updating the shooting patterns with the empty slots :

123456789

G 10M010M010MR

B 1M001M001MRR

R 1M1000M1MRRR

where R=Reload (as in OP) and M=miss (as the gun had an empty slot, the shooter actually misses ... without actually firing or making a sound)

Assuming from factor 2 that all are given additional bullets enough to fully load once and this time the loading isn't rigged by IDoILike, the next 12 rounds follow the original shooting patterns for those left standing.

From the fact that 14 shots were heard in first 3 seconds and from the updated shooting patterns in the first 3 seconds (excluding misses as not making actual firing noises)

G 10M

B 1M0

R 1M1

we get NB+NG+NR+LR=14 where LR = number of Reds Left standing after 2 seconds that get to fire in the third second.

Clearly LR<=NR. Assume at least one red flees/dies in the first 2 seconds (LR<NR). Since there is no firing in the second second (pardon the pun ) he must flee after the first second, so he must sustain at least 6HP damage in the first second which means at least 6 different shooters targeting him.

In the first second, since Jessie clan has at least one Blue, all Earp's Greens are busy shooting Jessie's Blues and Earp's Red(s) are busy shooting either Jessie Greens or if they don't find one, Jessie Blues (we know there's at least one). This only leaves Earp's Blues to target Jessie Reds.

Therefore the Jessie Red(s) would have to suffer at least 6 shots from Earp's Blues in the first second to flee/die.

In that case, there are at least 6 Earp Blues + at least 7 Jessie Blues (Fact 4. Jessie clan has the most Blues). That means at least 19 shots in the first second (13 blues + 4 greens + 2 reds). Impossible.

So at least Jessie's Red Leader survives (along with other Jessie Reds if any) or equivalently LR >=1.

Therefore NB=14-NG-NR-LR<=14-4-2-1=7.

So NB=7 or NB=6. Note that NB=7 implies LR=1 NR=2 NG=4 which contradicts the fact that there are as many Blues(7) as others(6).

So NB=6, which implies LR=NR=2, NG=4.

While the Red and Green distribution between the clans is clear, the 6 Blues can be distributed between Earp and Jessie clans in two ways (1,5) and (2,4):

- because Jessie clan has the most Blues

- and Earp clan actually wins by one Blue so it has at least one lucky Blue.

So the battle is either:

(Battle 1) RBGGGG vs BBBBBR

(Battle 2) RBBGGGG vs BBBBR

Simulation of these battles, according to either variation of the target&aim rule (see my previous question) don't give the expected result "Earp clan won by 1 Blue standing."