Talk:Archer

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-	The figures for efficiency of Bow upgrades use the following math.  Feel free to correct me if I screwed up somehow.
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-	N = Number of troops where cost of additional troops and cost of upgrading intersect;
-	P1 = attack+defense before upgrade;
-	P2 = attack+defense after upgrade;
-	Ucost = upgrade cost;
-	Tcost = troop cost
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-	*P1 * (N + Ucost/Tcost) = P2 * N
-	*(P1 * N) + (P1 * Ucost/Tcost) = P2 * N
-	*P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
-	*P1 * Ucost/Tcost = N(P2 - P1)              // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
-	*Thus for archers:  P1 * Ucost/100 = N
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-	I specifically didn't floor or round (Ucost/100) because it seemed silly to ignore partially completed archers when they'll be completed within an hour.
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	== Archer Efficiency ==		== Archer Efficiency ==

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Revision as of 00:52, 7 October 2007

Archer Efficiency

The figures for efficiency of Bow upgrades use the following math. Feel free to correct me if I screwed up somehow.

N = Number of troops where cost of additional troops and cost of upgrading intersect; P1 = attack+defense before upgrade; P2 = attack+defense after upgrade; Ucost = upgrade cost; Tcost = troop cost

• P1 * (N + Ucost/Tcost) = P2 * N
• (P1 * N) + (P1 * Ucost/Tcost) = P2 * N
• P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
• P1 * Ucost/Tcost = N(P2 - P1) // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
• Thus for archers: P1 * Ucost/100 = N

I specifically didn't floor or round (Ucost/100) because it seemed silly to ignore partially completed archers when they'll be completed within an hour.

• Please sign your posts with four tildes--DCJoeDog 20:52, 6 October 2007 (EDT)