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- ===== Industry ===========================================
- 8*5 - for extraction
- 8*9 - for banqueting
- 8*6 - for weapons
- 8*20 = 160 industry
- TOTAL = 160 INDUSTRY
- ===========================================================
- ===== MILITARY ============================================
- 10*7 - for castelization
- 10*6 - for command(troops)
- 8+10*2 - for scouts
- 10+8 - for pillaging
- 8 - for troops movement
- 8+5+8+4 - for leadership
- 10*7+10*6+8+10*2 + 10+8 + 8 + 8+5+8+4
- TOTAL = 209 MILITARY
- ===========================================================
- ===== Farming =============================================
- 8*3 - for basic food
- 8*6 - for plough
- 8*3 - for animal husbandy
- 8*12 = 96
- TOTAL = 96 FARMING
- ===========================================================
- ===== Education ===========================================
- 10*3+5+4 - for math
- 10*6+8 - for engi
- 10*2+4 - for arts
- 16+8*8 - for theology
- 5 - for literature
- 5 - for decorations
- 10*3+5+4 + 10*6+8 + 10*2+4 + 16+8*8 + 5 + 5
- TOTAL 221 = Educations
- ===========================================================
- 160+209+96+221
- TOTAL RESEARCH = 686
- =====================
- RANKS
- 1*7+2+3+4+5+6*2+7*2+8+9+10+11+12+15+25 = 137 ranks
- research points = 137*3 = 411
- 275 research points have to be buyed
- ===================================
- 8*n*n + 10*n = nth point cost
- 8*(1*1+2*2+3*3+4*4+...n*n) + 10(1+2+3+...+n) =
- 8*(n*(n+1)*(2*n+1))/6 + 10 * n*(n+1)/2
- 4/3 * (n*(n+1)*(2*n+1)) + 5*n*(n+1) = S(n)
- S(n) = 4/3 * (n*(n+1)*(2*n+1)) + 5*n*(n+1)
- C(n) = 8*n*n + 10*n
- S(n) = total cost for n research points
- C(n) = cost for the nth research point
- =======================================
- C(275) = 607.750 or 303.875 (50%)
- S(275) = 56.140.700 or 28.070.350 (50%)
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