Talk:Archer

From Inselkampf

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¡xǝs lɐuɐ ǝʌɐɥ
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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;
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P1 = attack+defense before upgrade;
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P2 = attack+defense after upgrade;
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Ucost = upgrade cost;
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Tcost = troop cost
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*P1 * (N + Ucost/Tcost) = P2 * N
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*(P1 * N) + (P1 * Ucost/Tcost) = P2 * N
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*P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
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*P1 * Ucost/Tcost = N(P2 - P1)              // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
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*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.

Revision as of 21:26, 6 October 2007

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.

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