Bone-Market-Solver/bonemarketsolver/solve.py

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"""Use constraint programming to devise the optimal skeleton at the Bone Market in Fallen London."""
__all__ = ['Adjustment', 'Appendage', 'Buyer', 'Declaration', 'DiplomatFascination', 'Embellishment', 'Fluctuation', 'OccasionalBuyer', 'Skull', 'Solve', 'Torso']
__author__ = "Jeremy Saklad"
from functools import partialmethod
from os import cpu_count
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from ortools.sat.python import cp_model
from .data.adjustments import Adjustment
from .data.appendages import Appendage
from .data.buyers import Buyer
from .data.costs import Cost
from .data.declarations import Declaration
from .data.diplomat_fascinations import DiplomatFascination
from .data.embellishments import Embellishment
from .data.fluctuations import Fluctuation
from .data.occasional_buyers import OccasionalBuyer
from .data.skulls import Skull
from .data.torsos import Torso
from .objects.bone_market_model import BoneMarketModel
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# This multiplier is applied to the profit margin to avoid losing precision due to rounding.
PROFIT_MARGIN_MULTIPLIER = 10000000
# This is the highest number of attribute to calculate fractional exponents for.
MAXIMUM_ATTRIBUTE = 100
# This is a constant used to calculate difficulty checks. You almost certainly do not need to change this.
DIFFICULTY_SCALER = 0.6
def Solve(shadowy_level, bone_market_fluctuations = None, zoological_mania = None, occasional_buyer = None, diplomat_fascination = None, desired_buyers = [], maximum_cost = cp_model.INT32_MAX, maximum_exhaustion = cp_model.INT32_MAX, time_limit = float('inf'), workers = cpu_count(), blacklist = [], stdscr = None):
model = BoneMarketModel()
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actions = {}
# Torso
for torso in Torso:
actions[torso] = model.NewBoolVar(torso.value.name)
# Skull
for skull in Skull:
actions[skull] = model.NewIntVar(skull.value.name, lb = 0)
# Appendage
for appendage in Appendage:
if appendage == Appendage.SKIP_TAILS:
actions[appendage] = model.NewBoolVar(appendage.value.name)
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else:
actions[appendage] = model.NewIntVar(appendage.value.name, lb = 0)
# Avoid adding joints at first
model.AddHint(actions[Appendage.ADD_JOINTS], 0)
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# Adjustment
for adjustment in Adjustment:
actions[adjustment] = model.NewIntVar(adjustment.value.name, lb = 0)
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# Declaration
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for declaration in Declaration:
actions[declaration] = model.NewBoolVar(declaration.value.name)
# Try non-Chimera declarations first
model.AddHint(actions[Declaration.CHIMERA], 0)
# Embellishment
for embellishment in Embellishment:
actions[embellishment] = model.NewIntVar(embellishment.value.name, lb = 0)
# Buyer
for buyer in Buyer:
actions[buyer] = model.NewBoolVar(buyer.value.name)
# Mark unavailable buyers
model.AddAssumptions([
actions[buyer].Not()
for unavailable_buyer in OccasionalBuyer if unavailable_buyer != occasional_buyer
for buyer in unavailable_buyer.value if buyer not in desired_buyers
])
model.AddAssumptions([
actions[outmoded_fascination.value].Not()
for outmoded_fascination in DiplomatFascination if outmoded_fascination != diplomat_fascination and outmoded_fascination.value not in desired_buyers
])
# Restrict to desired buyers
if desired_buyers:
model.Add(cp_model.LinearExpr.Sum([actions[desired_buyer] for desired_buyer in desired_buyers]) == 1)
# Blacklist
model.Add(cp_model.LinearExpr.Sum([actions[forbidden] for forbidden in blacklist]) == 0)
# One torso
model.Add(cp_model.LinearExpr.Sum([value for (key, value) in actions.items() if isinstance(key, Torso)]) == 1)
# One declaration
model.Add(cp_model.LinearExpr.Sum([value for (key, value) in actions.items() if isinstance(key, Declaration)]) == 1)
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# One buyer
model.Add(cp_model.LinearExpr.Sum([value for (key, value) in actions.items() if isinstance(key, Buyer)]) == 1)
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# Value calculation
value = model.NewIntVar('value', lb = 0)
base_value = model.NewIntVar('base value', lb = 0)
model.Add(base_value == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.value for action in actions.keys()]))
# Calculate value from Vake skulls
# This is a partial sum formula.
vake_skull_value = model.NewIntVar('vake skull value')
vake_skulls = actions[Skull.VAKE_SKULL]
vake_skulls_squared = model.NewIntVar('vake skulls squared', lb = 0)
model.AddMultiplicationEquality(vake_skulls_squared, (vake_skulls, vake_skulls))
model.Add(vake_skull_value == -250 * vake_skulls_squared + 6750 * vake_skulls)
del vake_skulls, vake_skulls_squared
model.Add(value == base_value + vake_skull_value)
del base_value, vake_skull_value
# Zoological Mania
zoological_mania_bonus = model.NewIntVar('zoological mania bonus', lb = 0)
if zoological_mania:
multiplier = 15 if zoological_mania in [Declaration.FISH, Declaration.INSECT, Declaration.SPIDER] else 10
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potential_zoological_mania_bonus = model.NewIntVar('potential zoological mania bonus', lb = 0)
multiplied_value = model.NewIntVar('multiplied value', lb = 0)
model.Add(multiplied_value == multiplier*value)
model.AddDivisionEquality(potential_zoological_mania_bonus, multiplied_value, 100)
model.Add(zoological_mania_bonus == potential_zoological_mania_bonus).OnlyEnforceIf(actions[zoological_mania])
model.Add(zoological_mania_bonus == 0).OnlyEnforceIf(actions[zoological_mania].Not())
del multiplier, potential_zoological_mania_bonus, multiplied_value
else:
model.Add(zoological_mania_bonus == 0)
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# Torso Style calculation
torso_style = model.NewIntVarFromDomain(cp_model.Domain.FromValues([torso.value.torso_style for torso in Torso]), 'torso style')
for torso, torso_variable in {key: value for (key, value) in actions.items() if isinstance(key, Torso)}.items():
model.Add(torso_style == torso.value.torso_style).OnlyEnforceIf(torso_variable)
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# Skulls calculation
skulls = model.NewIntVar('skulls', lb = 0)
model.Add(skulls == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.skulls for action in actions.keys()]))
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# Arms calculation
arms = model.NewIntVar('arms', lb = 0)
model.Add(arms == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.arms for action in actions.keys()]))
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# Legs calculation
legs = model.NewIntVar('legs', lb = 0)
model.Add(legs == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.legs for action in actions.keys()]))
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# Tails calculation
tails = model.NewIntVar('tails', lb = 0)
model.Add(tails == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.tails for action in actions.keys()]))
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# Wings calculation
wings = model.NewIntVar('wings', lb = 0)
model.Add(wings == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.wings for action in actions.keys()]))
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# Fins calculation
fins = model.NewIntVar('fins', lb = 0)
model.Add(fins == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.fins for action in actions.keys()]))
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# Tentacles calculation
tentacles = model.NewIntVar('tentacles', lb = 0)
model.Add(tentacles == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.tentacles for action in actions.keys()]))
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# Amalgamy calculation
amalgamy = model.NewIntVar('amalgamy', lb = 0)
unbound_amalgamy = model.NewIntVar('unbound amalgamy')
model.Add(unbound_amalgamy == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.amalgamy for action in actions.keys()]))
model.AddMaxEquality(amalgamy, (unbound_amalgamy, 0))
del unbound_amalgamy
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# Antiquity calculation
antiquity = model.NewIntVar('antiquity', lb = 0)
unbound_antiquity = model.NewIntVar('unbound antiquity')
model.Add(unbound_antiquity == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.antiquity for action in actions.keys()]))
model.AddMaxEquality(antiquity, (unbound_antiquity, 0))
del unbound_antiquity
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# Menace calculation
menace = model.NewIntVar('menace', lb = 0)
unbound_menace = model.NewIntVar('unbound menace')
constant_base_menace = model.NewIntVar('constant base menace')
model.Add(constant_base_menace == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.menace for action in actions.keys()]))
# Calculate menace from Vake skulls
vake_skull_bonus_menace = model.NewIntVarFromDomain(cp_model.Domain.FromValues([0, 2, 3]), 'vake skull bonus menace')
vake_skulls_times_two = model.NewIntVar('vake skulls times two', lb = 0)
model.AddMultiplicationEquality(vake_skulls_times_two, (2, actions[Skull.VAKE_SKULL]))
model.AddMinEquality(vake_skull_bonus_menace, [vake_skulls_times_two, 3])
del vake_skulls_times_two
model.Add(unbound_menace == constant_base_menace + vake_skull_bonus_menace)
model.AddMaxEquality(menace, (unbound_menace, 0))
del unbound_menace, constant_base_menace, vake_skull_bonus_menace
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# Implausibility calculation
implausibility = model.NewIntVar('implausibility')
constant_base_implausibility = model.NewIntVar('implausibility')
model.Add(constant_base_implausibility == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.implausibility for action in actions.keys()]))
# Calculate implausibility from Vake skulls
# This is a partial sum formula.
vake_skull_implausibility = model.NewIntVar('vake skull implausibility', lb = 0)
vake_skull_implausibility_numerator = model.NewIntVar('vake skull implausibility numerator', lb = 0)
vake_skulls = actions[Skull.VAKE_SKULL]
vake_skull_implausibility_numerator_second_term = model.NewIntVar('vake skull implausibility numerator second term', lb = 0)
model.AddMultiplicationEquality(vake_skull_implausibility_numerator_second_term, (vake_skulls, vake_skulls))
vake_skull_implausibility_numerator_third_term = model.NewIntVar('vake skull implausibility numerator third term', lb = 0, ub = 1)
model.AddModuloEquality(vake_skull_implausibility_numerator_third_term, vake_skulls, 2)
model.Add(vake_skull_implausibility_numerator == -2 * vake_skulls + vake_skull_implausibility_numerator_second_term + vake_skull_implausibility_numerator_third_term)
del vake_skulls, vake_skull_implausibility_numerator_second_term, vake_skull_implausibility_numerator_third_term
model.AddDivisionEquality(vake_skull_implausibility, vake_skull_implausibility_numerator, 4)
del vake_skull_implausibility_numerator
model.Add(implausibility == constant_base_implausibility + vake_skull_implausibility)
del constant_base_implausibility, vake_skull_implausibility
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# Counter-church calculation
# Calculate amount of Counter-church from Holy Relics of the Thigh of Saint Fiacre
holy_relic = actions[Appendage.FIACRE_THIGH]
torso_style_divided_by_ten = model.NewIntVar('torso style divided by ten', lb = 0)
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model.AddDivisionEquality(torso_style_divided_by_ten, torso_style, 10)
holy_relic_counter_church = model.NewIntVar('holy relic counter-church', lb = 0)
model.AddMultiplicationEquality(holy_relic_counter_church, (holy_relic, torso_style_divided_by_ten))
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counter_church = model.NewIntVar('counter-church', lb = 0)
model.Add(counter_church == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.counter_church for action in actions.keys()]) + holy_relic_counter_church)
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del holy_relic, torso_style_divided_by_ten, holy_relic_counter_church
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# Exhaustion calculation
exhaustion = model.NewIntVar('exhaustion', lb = 0, ub = maximum_exhaustion)
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# Exhaustion added by certain buyers
added_exhaustion = model.NewIntVar('added exhaustion', lb = 0, ub = maximum_exhaustion)
model.Add(exhaustion == cp_model.LinearExpr.ScalProd(actions.values(), [action.value.exhaustion for action in actions.keys()]) + added_exhaustion)
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# Profit intermediate variables
primary_revenue = model.NewIntVar('primary revenue', lb = 0)
secondary_revenue = model.NewIntVar('secondary revenue', lb = 0)
total_revenue = model.NewIntVar('total revenue', lb = 0)
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model.Add(total_revenue == cp_model.LinearExpr.Sum([primary_revenue, secondary_revenue]))
# Cost
# Calculate value of actions needed to sell the skeleton.
difficulty_level = model.NewIntVar('difficulty level')
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non_zero_difficulty_level = model.NewIntVar('non-zero difficulty level', lb = 1)
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model.AddMaxEquality(non_zero_difficulty_level, [difficulty_level, 1])
sale_actions_times_action_value = model.NewIntVar('sale actions times action value', lb = 0)
model.AddDivisionEquality(sale_actions_times_action_value, model.NewConstant(round(DIFFICULTY_SCALER*shadowy_level*Cost.ACTION.value)), non_zero_difficulty_level)
abstract_sale_cost = model.NewIntVar('abstract sale cost', lb = 0)
model.AddDivisionEquality(abstract_sale_cost, Cost.ACTION.value**2, sale_actions_times_action_value)
sale_cost = model.NewIntVar('sale cost', lb = 0)
model.AddMaxEquality(sale_cost, [abstract_sale_cost, Cost.ACTION.value])
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del non_zero_difficulty_level, sale_actions_times_action_value, abstract_sale_cost
# Calculate cost of adding joints
# This is a partial sum formula.
add_joints_amber_cost = model.NewIntVar('add joints amber cost', lb = 0)
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add_joints = actions[Appendage.ADD_JOINTS]
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base_joints = model.NewIntVar('base joints', lb = 0)
model.Add(base_joints == cp_model.LinearExpr.ScalProd([value for (key, value) in actions.items() if isinstance(key, Torso)], [torso.value.limbs_needed + torso.value.arms + torso.value.legs + torso.value.wings + torso.value.fins + torso.value.tentacles for torso in Torso]))
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add_joints_amber_cost_multiple = model.NewIntVar('add joints amber cost multiple', lb = 0)
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add_joints_amber_cost_multiple_first_term = model.NewIntVar('add joints amber cost multiple first term', lb = 0)
model.AddMultiplicationEquality(add_joints_amber_cost_multiple_first_term, (25, base_joints, base_joints, add_joints))
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add_joints_amber_cost_multiple_second_term = model.NewIntVar('add joints amber cost multiple second term', lb = 0)
model.AddMultiplicationEquality(add_joints_amber_cost_multiple_second_term, (100, base_joints, add_joints, add_joints))
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add_joints_amber_cost_multiple_third_term = model.NewIntVar('add joints amber cost multiple third term', lb = 0)
model.AddMultiplicationEquality(add_joints_amber_cost_multiple_third_term, (100, base_joints, add_joints))
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add_joints_amber_cost_multiple_fourth_term = model.NewIntVar('add joints amber cost multiple fourth term', lb = 0)
add_joints_amber_cost_multiple_fourth_term_numerator = model.NewIntVar('add joints amber cost multiple fourth term numerator', lb = 0)
add_joints_amber_cost_multiple_fourth_term_numerator_first_term = model.NewIntVar('add joints amber cost multiple fourth term numerator first term', lb = 0)
model.AddMultiplicationEquality(add_joints_amber_cost_multiple_fourth_term_numerator_first_term, (400, add_joints, add_joints, add_joints))
model.Add(add_joints_amber_cost_multiple_fourth_term_numerator == add_joints_amber_cost_multiple_fourth_term_numerator_first_term + 200*add_joints)
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model.AddDivisionEquality(add_joints_amber_cost_multiple_fourth_term, add_joints_amber_cost_multiple_fourth_term_numerator, 3)
del add_joints_amber_cost_multiple_fourth_term_numerator, add_joints_amber_cost_multiple_fourth_term_numerator_first_term
add_joints_amber_cost_multiple_fifth_term = model.NewIntVar('add joints amber cost multiple fifth term', lb = 0)
model.AddMultiplicationEquality(add_joints_amber_cost_multiple_fifth_term, (200, add_joints, add_joints))
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model.Add(add_joints_amber_cost_multiple == add_joints_amber_cost_multiple_first_term + add_joints_amber_cost_multiple_second_term - add_joints_amber_cost_multiple_third_term + add_joints_amber_cost_multiple_fourth_term - add_joints_amber_cost_multiple_fifth_term)
del add_joints_amber_cost_multiple_first_term, add_joints_amber_cost_multiple_second_term, add_joints_amber_cost_multiple_third_term, add_joints_amber_cost_multiple_fourth_term, add_joints_amber_cost_multiple_fifth_term
model.AddMultiplicationEquality(add_joints_amber_cost, (add_joints_amber_cost_multiple, Cost.WARM_AMBER.value))
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del add_joints, add_joints_amber_cost_multiple
cost = model.NewIntVar('cost', lb = 0, ub = maximum_cost)
model.Add(cost == cp_model.LinearExpr.ScalProd(actions.values(), [int(action.value.cost) for action in actions.keys()]) + add_joints_amber_cost + sale_cost)
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del sale_cost, add_joints_amber_cost
# Type of skeleton
skeleton_in_progress = model.NewIntVar('skeleton in progress', lb = 0)
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# Chimera
model.Add(skeleton_in_progress == 100) \
.OnlyEnforceIf(actions[Declaration.CHIMERA])
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# Humanoid
model.Add(skeleton_in_progress == 110) \
.OnlyEnforceIf(actions[Declaration.HUMANOID]) \
.OnlyEnforceIf(model.BoolExpression(antiquity == 0))
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# Ancient Humanoid (UNCERTAIN)
model.Add(skeleton_in_progress == 111) \
.OnlyEnforceIf(actions[Declaration.HUMANOID]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (1, 5))))
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# Neanderthal
model.Add(skeleton_in_progress == 112) \
.OnlyEnforceIf(actions[Declaration.HUMANOID]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 6))
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# Ape (UNCERTAIN)
model.Add(skeleton_in_progress == 120) \
.OnlyEnforceIf(actions[Declaration.APE]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Primordial Ape (UNCERTAIN)
model.Add(skeleton_in_progress == 121) \
.OnlyEnforceIf(actions[Declaration.APE]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 2))
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# Monkey
model.Add(skeleton_in_progress == 125) \
.OnlyEnforceIf(actions[Declaration.MONKEY]) \
.OnlyEnforceIf(model.BoolExpression(antiquity == 0))
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# Catarrhine Monkey (UNCERTAIN)
model.Add(skeleton_in_progress == 126) \
.OnlyEnforceIf(actions[Declaration.MONKEY]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (1, 8))))
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# Catarrhine Monkey
model.Add(skeleton_in_progress == 128) \
.OnlyEnforceIf(actions[Declaration.MONKEY]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 9))
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# Crocodile
model.Add(skeleton_in_progress == 160) \
.OnlyEnforceIf(actions[Declaration.REPTILE]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Dinosaur
model.Add(skeleton_in_progress == 161) \
.OnlyEnforceIf(actions[Declaration.REPTILE]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (2, 4))))
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# Mesosaur (UNCERTAIN)
model.Add(skeleton_in_progress == 162) \
.OnlyEnforceIf(actions[Declaration.REPTILE]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 5))
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# Toad
model.Add(skeleton_in_progress == 170) \
.OnlyEnforceIf(actions[Declaration.AMPHIBIAN]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Primordial Amphibian
model.Add(skeleton_in_progress == 171) \
.OnlyEnforceIf(actions[Declaration.AMPHIBIAN]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (2, 4))))
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# Temnospondyl
model.Add(skeleton_in_progress == 172) \
.OnlyEnforceIf(actions[Declaration.AMPHIBIAN]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 5))
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# Owl
model.Add(skeleton_in_progress == 180) \
.OnlyEnforceIf(actions[Declaration.BIRD]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Archaeopteryx
model.Add(skeleton_in_progress == 181) \
.OnlyEnforceIf(actions[Declaration.BIRD]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (2, 4))))
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# Ornithomimosaur (UNCERTAIN)
model.Add(skeleton_in_progress == 182) \
.OnlyEnforceIf(actions[Declaration.BIRD]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 5))
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# Lamprey
model.Add(skeleton_in_progress == 190) \
.OnlyEnforceIf(actions[Declaration.FISH]) \
.OnlyEnforceIf(model.BoolExpression(antiquity == 0))
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# Coelacanth (UNCERTAIN)
model.Add(skeleton_in_progress == 191) \
.OnlyEnforceIf(actions[Declaration.FISH]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 1))
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# Spider (UNCERTAIN)
model.Add(skeleton_in_progress == 200) \
.OnlyEnforceIf(actions[Declaration.SPIDER]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Primordial Orb-Weaver (UNCERTAIN)
model.Add(skeleton_in_progress == 201) \
.OnlyEnforceIf(actions[Declaration.SPIDER]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (2, 7))))
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# Trigonotarbid
model.Add(skeleton_in_progress == 203) \
.OnlyEnforceIf(actions[Declaration.SPIDER]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 8))
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# Beetle (UNCERTAIN)
model.Add(skeleton_in_progress == 210) \
.OnlyEnforceIf(actions[Declaration.INSECT]) \
.OnlyEnforceIf(model.BoolExpression(antiquity <= 1))
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# Primordial Beetle (UNCERTAIN)
model.Add(skeleton_in_progress == 211) \
.OnlyEnforceIf(actions[Declaration.INSECT]) \
.OnlyEnforceIf(model.BoolExpression(cp_model.BoundedLinearExpression(antiquity, (2, 6))))
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# Rhyniognatha
model.Add(skeleton_in_progress == 212) \
.OnlyEnforceIf(actions[Declaration.INSECT]) \
.OnlyEnforceIf(model.BoolExpression(antiquity >= 7))
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# Curator
model.Add(skeleton_in_progress == 300) \
.OnlyEnforceIf(actions[Declaration.CURATOR])
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# Declaration requirements
model.AddIf(actions[Declaration.HUMANOID],
(part == 0 for part in (tails, fins, wings)),
skulls == 1,
(part == 2 for part in (legs, arms)),
cp_model.BoundedLinearExpression(torso_style, (10, 20)),
)
model.AddIf(actions[Declaration.APE],
(part == 0 for part in (legs, tails, fins, wings)),
skulls == 1,
arms == 4,
cp_model.BoundedLinearExpression(torso_style, (10, 20)),
)
model.AddIf(actions[Declaration.MONKEY],
(part == 0 for part in (legs, fins, wings)),
(part == 1 for part in (skulls, tails)),
arms == 4,
cp_model.BoundedLinearExpression(torso_style, (10, 20)),
)
model.AddIf(actions[Declaration.BIRD],
(part == 0 for part in (arms, fins)),
tails < 2,
(part == 2 for part in (legs, wings)),
torso_style >= 20,
)
model.AddIf(actions[Declaration.CURATOR],
(part == 0 for part in (fins, tails)),
skulls == 1,
(part == 2 for part in (arms, legs, wings)),
)
model.AddIf(actions[Declaration.REPTILE],
(part == 0 for part in (fins, wings, arms)),
(part == 1 for part in (tails, skulls)),
legs < 5,
torso_style >= 20,
)
model.AddIf(actions[Declaration.AMPHIBIAN],
(part == 0 for part in (tails, fins, wings, arms)),
skulls == 1,
legs == 4,
torso_style >= 20,
)
model.AddIf(actions[Declaration.FISH],
(part == 0 for part in (arms, legs, wings)),
tails <= 1,
skulls == 1,
fins >= 2,
torso_style >= 20,
)
model.AddIf(actions[Declaration.INSECT],
(part == 0 for part in (arms, fins, tails)),
skulls == 1,
wings < 5,
legs == 6,
torso_style >= 20,
)
model.AddIf(actions[Declaration.SPIDER],
(part == 0 for part in (skulls, arms, wings, fins)),
tails <= 1,
legs == 8,
torso_style >= 20,
)
# Skeleton must have no unfilled skulls
model.Add(cp_model.LinearExpr.ScalProd(actions.values(), [action.value.skulls_needed for action in actions.keys()]) == 0)
# Skeleton must have no unfilled limbs
model.Add(cp_model.LinearExpr.ScalProd(actions.values(), [action.value.limbs_needed for action in actions.keys()]) == 0)
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# Skeleton must have no unfilled tails, unless they were skipped
model.Add(cp_model.LinearExpr.ScalProd(actions.values(), [action.value.tails_needed for action in actions.keys()]) == 0).OnlyEnforceIf(actions[Appendage.SKIP_TAILS].Not())
model.Add(cp_model.LinearExpr.ScalProd(actions.values(), [action.value.tails_needed for action in actions.keys()]) > 0).OnlyEnforceIf(actions[Appendage.SKIP_TAILS])
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model.AddIf(actions[Buyer.A_PALAEONTOLOGIST_WITH_HOARDING_PROPENSITIES],
skeleton_in_progress >= 100,
primary_revenue == value + zoological_mania_bonus + 5,
secondary_revenue == 500,
difficulty_level == 40*implausibility,
added_exhaustion == 0,
)
model.AddIf(actions[Buyer.A_NAIVE_COLLECTOR],
skeleton_in_progress >= 100,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue, value + zoological_mania_bonus, 250),
secondary_revenue == 0,
difficulty_level == 25*implausibility,
added_exhaustion == 0,
)
model.AddIf(actions[Buyer.A_FAMILIAR_BOHEMIAN_SCULPTRESS],
skeleton_in_progress >= 100,
antiquity == 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 1000, value + zoological_mania_bonus, 250),
secondary_revenue == 250*counter_church,
difficulty_level == 50*implausibility,
added_exhaustion == 0,
)
model.AddIf(actions[Buyer.A_PEDAGOGICALLY_INCLINED_GRANDMOTHER],
skeleton_in_progress >= 100,
menace == 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 1000, value + zoological_mania_bonus, 50),
secondary_revenue == 0,
difficulty_level == 50*implausibility,
added_exhaustion == 0,
)
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model.AddIf(actions[Buyer.A_THEOLOGIAN_OF_THE_OLD_SCHOOL],
skeleton_in_progress >= 100,
amalgamy == 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 1000, value + zoological_mania_bonus, 250),
secondary_revenue == 0,
difficulty_level == 50*implausibility,
added_exhaustion == 0,
)
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model.AddIf(actions[Buyer.AN_ENTHUSIAST_OF_THE_ANCIENT_WORLD],
skeleton_in_progress >= 100,
antiquity > 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue, value + zoological_mania_bonus, 50),
secondary_revenue == 250*(antiquity + (1 if bone_market_fluctuations == Fluctuation.ANTIQUITY else 0)),
difficulty_level == 45*implausibility,
added_exhaustion == 0,
)
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model.AddIf(actions[Buyer.MRS_PLENTY],
skeleton_in_progress >= 100,
menace > 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue, value + zoological_mania_bonus, 50),
secondary_revenue == 250*menace,
difficulty_level == 45*implausibility,
added_exhaustion == 0,
)
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model.AddIf(actions[Buyer.A_TENTACLED_SERVANT],
skeleton_in_progress >= 100,
amalgamy > 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 250, value + zoological_mania_bonus, 50),
secondary_revenue == 250*(amalgamy + (1 if bone_market_fluctuations == Fluctuation.AMALGAMY else 0)),
difficulty_level == 45*implausibility,
added_exhaustion == 0,
)
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# An Investment-Minded Ambassador
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
model.Add(antiquity > 0).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
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antiquity_squared_times_four_fifths = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: antiquity squared times four-fifths', lb = 0)
antiquity_squared_times_four = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: antiquity squared times four', lb = 0)
model.AddMultiplicationEquality(antiquity_squared_times_four, (antiquity, antiquity, 4))
model.AddDivisionEquality(antiquity_squared_times_four_fifths, antiquity_squared_times_four, 5)
del antiquity_squared_times_four
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tailfeathers = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: tailfeathers')
if bone_market_fluctuations == Fluctuation.ANTIQUITY:
boosted_antiquity = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: boosted antiquity', lb = 0)
model.AddApproximateExponentiationEquality(boosted_antiquity, antiquity, 2.1, MAXIMUM_ATTRIBUTE)
boosted_antiquity_times_four = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: boosted antiquity times four', lb = 0)
model.AddMultiplicationEquality(boosted_antiquity_times_four, (boosted_antiquity, 4))
boosted_antiquity_times_four_fifths = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: boosted antiquity times four-fifths', lb = 0)
model.AddDivisionEquality(boosted_antiquity_times_four_fifths, boosted_antiquity_times_four, 5)
model.Add(tailfeathers == boosted_antiquity_times_four_fifths).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
del boosted_antiquity, boosted_antiquity_times_four, boosted_antiquity_times_four_fifths
else:
model.Add(tailfeathers == antiquity_squared_times_four_fifths).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
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total_value = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: total value remainder', lb = 0, ub = 49)
model.AddModuloEquality(total_value_remainder, total_value, 50)
extra_value = model.BoolExpression(total_value_remainder >= 0)
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model.Add(primary_revenue == total_value + 50*extra_value + 250).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
model.Add(secondary_revenue == 250*tailfeathers).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
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model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
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# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.AN_INVESTMENT_MINDED_AMBASSADOR.name}: derived exhaustion', lb = 0)
model.AddDivisionEquality(derived_exhaustion, antiquity_squared_times_four_fifths, 20)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.AN_INVESTMENT_MINDED_AMBASSADOR])
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del antiquity_squared_times_four_fifths, tailfeathers, total_value, total_value_remainder, extra_value, derived_exhaustion
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# A Teller of Terrors
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
model.Add(menace > 0).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
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menace_squared = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: menace squared', lb = 0)
model.AddMultiplicationEquality(menace_squared, (menace, menace))
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feathers = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: feathers')
if bone_market_fluctuations == Fluctuation.MENACE:
boosted_menace = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: boosted menace')
model.AddApproximateExponentiationEquality(boosted_menace, menace, 2.1, MAXIMUM_ATTRIBUTE)
model.Add(feathers == 4*boosted_menace).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
del boosted_menace
else:
model.Add(feathers == 4*menace_squared).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
total_value = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
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total_value_remainder = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: total value remainder', lb = 0, ub = 9)
model.AddModuloEquality(total_value_remainder, total_value, 10)
model.Add(primary_revenue == total_value - total_value_remainder + 50).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
model.Add(secondary_revenue == 50*feathers).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
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model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
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# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.A_TELLER_OF_TERRORS.name}: derived exhaustion', lb = 0)
model.AddDivisionEquality(derived_exhaustion, menace_squared, 25)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.A_TELLER_OF_TERRORS])
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del menace_squared, feathers, total_value, total_value_remainder, derived_exhaustion
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# A Tentacled Entrepreneur
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
model.Add(amalgamy > 0).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
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amalgamy_squared = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: amalgamy squared', lb = 0)
model.AddMultiplicationEquality(amalgamy_squared, (amalgamy, amalgamy))
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final_breaths = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: final breaths')
if bone_market_fluctuations == Fluctuation.AMALGAMY:
boosted_amalgamy = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: boosted amalgamy')
model.AddApproximateExponentiationEquality(boosted_amalgamy, amalgamy, 2.1, MAXIMUM_ATTRIBUTE)
model.Add(final_breaths == 4*boosted_amalgamy).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
del boosted_amalgamy
else:
model.Add(final_breaths == 4*amalgamy_squared).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
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total_value = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: total value remainder', lb = 0, ub = 49)
model.AddModuloEquality(total_value_remainder, total_value, 50)
model.Add(primary_revenue == total_value - total_value_remainder + 250).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
model.Add(secondary_revenue == 50*final_breaths).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
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model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
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# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.A_TENTACLED_ENTREPRENEUR.name}: derived exhaustion', lb = 0)
model.AddDivisionEquality(derived_exhaustion, amalgamy_squared, 25)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.A_TENTACLED_ENTREPRENEUR])
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del amalgamy_squared, final_breaths, total_value, total_value_remainder, derived_exhaustion
# An Author of Gothic Tales
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
model.Add(antiquity > 0).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
model.Add(menace > 0).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
antiquity_times_menace = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: antiquity times menace')
model.AddMultiplicationEquality(antiquity_times_menace, (antiquity, menace))
antiquity_fluctuation_bonus = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: antiquity fluctuation bonus')
model.AddDivisionEquality(antiquity_fluctuation_bonus, antiquity, 2)
menace_fluctuation_bonus = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: menace fluctuation bonus')
model.AddDivisionEquality(menace_fluctuation_bonus, menace, 2)
total_value = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: total value remainder', lb = 0, ub = 49)
model.AddModuloEquality(total_value_remainder, total_value, 50)
model.Add(primary_revenue == total_value - total_value_remainder + 250).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
model.Add(secondary_revenue == 250*antiquity_times_menace + 250*(antiquity_fluctuation_bonus if bone_market_fluctuations == Fluctuation.ANTIQUITY else menace_fluctuation_bonus if bone_market_fluctuations == Fluctuation.MENACE else 0)).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.AN_AUTHOR_OF_GOTHIC_TALES.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, antiquity_times_menace, 20)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.AN_AUTHOR_OF_GOTHIC_TALES])
del antiquity_times_menace, antiquity_fluctuation_bonus, menace_fluctuation_bonus, total_value, total_value_remainder, derived_exhaustion
# A Zailor with Particular Interests
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
model.Add(antiquity > 0).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
model.Add(amalgamy > 0).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
amalgamy_times_antiquity = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: amalgamy times antiquity')
model.AddMultiplicationEquality(amalgamy_times_antiquity, (amalgamy, antiquity))
amalgamy_fluctuation_bonus = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: amalgamy fluctuation bonus')
model.AddDivisionEquality(amalgamy_fluctuation_bonus, amalgamy, 2)
antiquity_fluctuation_bonus = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: antiquity fluctuation bonus')
model.AddDivisionEquality(antiquity_fluctuation_bonus, antiquity, 2)
total_value = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: total value remainder', lb = 0, ub = 9)
model.AddModuloEquality(total_value_remainder, total_value, 10)
model.Add(primary_revenue == total_value - total_value_remainder + 250).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
model.Add(secondary_revenue == 250*amalgamy_times_antiquity + 250*(amalgamy_fluctuation_bonus if bone_market_fluctuations == Fluctuation.AMALGAMY else antiquity_fluctuation_bonus if bone_market_fluctuations == Fluctuation.ANTIQUITY else 0)).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, amalgamy_times_antiquity, 20)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.A_ZAILOR_WITH_PARTICULAR_INTERESTS])
del amalgamy_times_antiquity, amalgamy_fluctuation_bonus, antiquity_fluctuation_bonus, total_value, total_value_remainder, derived_exhaustion
# A Rubbery Collector
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
model.Add(amalgamy > 0).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
model.Add(menace > 0).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
amalgamy_times_menace = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: amalgamy times menace')
model.AddMultiplicationEquality(amalgamy_times_menace, (amalgamy, menace))
amalgamy_fluctuation_bonus = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: amalgamy fluctuation bonus')
model.AddDivisionEquality(amalgamy_fluctuation_bonus, amalgamy, 2)
menace_fluctuation_bonus = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: menace fluctuation bonus')
model.AddDivisionEquality(menace_fluctuation_bonus, menace, 2)
total_value = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: total value remainder', lb = 0, ub = 49)
model.AddModuloEquality(total_value_remainder, total_value, 50)
model.Add(primary_revenue == total_value - total_value_remainder + 250).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
model.Add(secondary_revenue == 250*amalgamy_times_menace + 250*(amalgamy_fluctuation_bonus if bone_market_fluctuations == Fluctuation.AMALGAMY else menace_fluctuation_bonus if bone_market_fluctuations == Fluctuation.MENACE else 0)).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
model.Add(difficulty_level == 75*implausibility).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.A_RUBBERY_COLLECTOR.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, amalgamy_times_menace, 20)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.A_RUBBERY_COLLECTOR])
del amalgamy_times_menace, amalgamy_fluctuation_bonus, menace_fluctuation_bonus, total_value, total_value_remainder, derived_exhaustion
model.AddIf(actions[Buyer.A_CONSTABLE],
cp_model.BoundedLinearExpression(skeleton_in_progress, (110, 119)),
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 1000, value, 50),
secondary_revenue == 0,
difficulty_level == 50*implausibility,
added_exhaustion == 0,
)
# An Enthusiast in Skulls
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
model.Add(skulls >= 2).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
extra_skulls = model.NewIntVar(f'{Buyer.AN_ENTHUSIAST_IN_SKULLS.name}: extra skulls', lb = 0)
model.Add(extra_skulls == skulls - 1).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
vital_intelligence = model.NewIntVar(f'{Buyer.AN_ENTHUSIAST_IN_SKULLS.name}: vital intelligence')
model.AddApproximateExponentiationEquality(vital_intelligence, extra_skulls, 1.8, MAXIMUM_ATTRIBUTE)
model.Add(primary_revenue == value + zoological_mania_bonus).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
model.Add(secondary_revenue == 1250*vital_intelligence).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
model.Add(difficulty_level == 60*implausibility).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.AN_ENTHUSIAST_IN_SKULLS.name}: derived exhaustion', lb = 0)
model.AddDivisionEquality(derived_exhaustion, vital_intelligence, 4)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.AN_ENTHUSIAST_IN_SKULLS])
del extra_skulls, vital_intelligence, derived_exhaustion
model.AddIf(actions[Buyer.A_DREARY_MIDNIGHTER],
cp_model.BoundedLinearExpression(skeleton_in_progress, (110, 299)),
amalgamy == 0,
counter_church == 0,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 300, value + zoological_mania_bonus, 3),
secondary_revenue == 250,
difficulty_level == 100*implausibility,
added_exhaustion == 0,
)
{
model.AddIf(actions[getattr(Buyer, 'A_COLOURFUL_PHANTASIST_' + style)],
skeleton_in_progress >= 100,
implausibility >= 2,
attribute >= 4,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 100, value + zoological_mania_bonus, 50),
partialmethod(BoneMarketModel.AddMultiplicationEquality, secondary_revenue - 250, (250, attribute, implausibility)),
difficulty_level == 0,
partialmethod(BoneMarketModel.AddDivisionEquality, added_exhaustion, secondary_revenue, 5000),
) for style, attribute in (
('BAZAARINE', amalgamy),
('NOCTURNAL', menace),
('CELESTIAL', antiquity),
)
}
# An Ingenuous Malacologist
model.Add(tentacles >= 4).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
exponentiated_tentacles = model.NewIntVar(f'{Buyer.AN_INGENUOUS_MALACOLOGIST.name}: exponentiated tentacles', lb = 0)
model.AddApproximateExponentiationEquality(exponentiated_tentacles, tentacles, 2.2, MAXIMUM_ATTRIBUTE)
collated_research = model.NewIntVar(f'{Buyer.AN_INGENUOUS_MALACOLOGIST.name}: collated research')
model.AddDivisionEquality(collated_research, exponentiated_tentacles, 5)
value_remainder = model.NewIntVar(f'{Buyer.AN_INGENUOUS_MALACOLOGIST.name}: value remainder', lb = 0, ub = 249)
model.AddModuloEquality(value_remainder, value, 250)
model.Add(primary_revenue == value - value_remainder + 250).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
model.Add(secondary_revenue == 250*collated_research).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
model.Add(difficulty_level == 60*implausibility).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.AN_INGENUOUS_MALACOLOGIST.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, exponentiated_tentacles, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.AN_INGENUOUS_MALACOLOGIST])
del exponentiated_tentacles, collated_research, value_remainder, derived_exhaustion
# An Enterprising Boot Salesman
model.Add(menace == 0).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
model.Add(amalgamy == 0).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
model.Add(legs >= 4).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
diamonds = model.NewIntVar(f'{Buyer.AN_ENTERPRISING_BOOT_SALESMAN.name}: diamonds', lb = 0)
model.AddApproximateExponentiationEquality(diamonds, legs, 2.2, MAXIMUM_ATTRIBUTE)
total_value = model.NewIntVar(f'{Buyer.AN_ENTERPRISING_BOOT_SALESMAN.name}: total value', lb = 0)
model.Add(total_value == value + zoological_mania_bonus)
total_value_remainder = model.NewIntVar(f'{Buyer.AN_ENTERPRISING_BOOT_SALESMAN.name}: total value remainder', lb = 0, ub = 49)
model.AddModuloEquality(total_value_remainder, total_value, 50)
model.Add(primary_revenue == total_value - total_value_remainder).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
model.Add(secondary_revenue == 50*diamonds).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.AN_ENTERPRISING_BOOT_SALESMAN.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, diamonds, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.AN_ENTERPRISING_BOOT_SALESMAN])
del diamonds, total_value, total_value_remainder, derived_exhaustion
model.AddIf(actions[Buyer.THE_DUMBWAITER_OF_BALMORAL],
cp_model.BoundedLinearExpression(skeleton_in_progress, (180, 189)),
value >= 250,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue, value, 250),
secondary_revenue == 0,
difficulty_level == 200,
added_exhaustion == 0,
)
model.AddIf(actions[Buyer.THE_CARPENTERS_GRANDDAUGHTER],
skeleton_in_progress >= 100,
value + zoological_mania_bonus >= 30000,
primary_revenue == 31250,
secondary_revenue == 0,
difficulty_level == 100*implausibility,
added_exhaustion == 0,
)
{
model.AddIf(actions[getattr(Buyer, 'THE_TRIFLING_DIPLOMAT_' + str(attribute).upper())],
skeleton_in_progress >= 100,
attribute >= 5,
partialmethod(BoneMarketModel.AddDivisionMultiplicationEquality, primary_revenue - 50, value, 50),
partialmethod(BoneMarketModel.AddMultiplicationEquality, secondary_revenue, (50, attribute, attribute)),
difficulty_level == 0,
partialmethod(BoneMarketModel.AddDivisionEquality, added_exhaustion, secondary_revenue, 5000),
) for attribute in (
amalgamy,
antiquity,
)
}
# The Trifling Diplomat - Bird
model.AddLinearExpressionInDomain(skeleton_in_progress, cp_model.Domain.FromFlatIntervals([180, 189])).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_BIRD])
non_negative_amalgamy = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: non-negative amalgamy')
model.AddMaxEquality(non_negative_amalgamy, [amalgamy, 0])
non_negative_menace = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: non-negative menace')
model.AddMaxEquality(non_negative_menace, [menace, 0])
non_negative_antiquity = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: non-negative antiquity')
model.AddMaxEquality(non_negative_antiquity, [antiquity, 0])
compromising_documents = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: compromising documents', lb = 0)
model.AddMultiplicationEquality(compromising_documents, (non_negative_amalgamy, non_negative_menace, non_negative_antiquity))
value_remainder = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: value remainder', lb = 0, ub = 49)
model.AddModuloEquality(value_remainder, value, 50)
model.Add(primary_revenue == value - value_remainder + 50).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_BIRD])
model.Add(secondary_revenue == 50*compromising_documents).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_BIRD])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_BIRD])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_BIRD.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, compromising_documents, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_BIRD])
del non_negative_amalgamy, non_negative_menace, non_negative_antiquity, compromising_documents, value_remainder, derived_exhaustion
# The Trifling Diplomat - Fish
model.AddLinearExpressionInDomain(skeleton_in_progress, cp_model.Domain.FromFlatIntervals([190, 199])).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_FISH])
non_negative_amalgamy = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: non-negative amalgamy')
model.AddMaxEquality(non_negative_amalgamy, [amalgamy, 0])
non_negative_menace = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: non-negative menace')
model.AddMaxEquality(non_negative_menace, [menace, 0])
non_negative_antiquity = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: non-negative antiquity')
model.AddMaxEquality(non_negative_antiquity, [antiquity, 0])
compromising_documents = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: compromising documents', lb = 0)
model.AddMultiplicationEquality(compromising_documents, (non_negative_amalgamy, non_negative_menace, non_negative_antiquity))
value_remainder = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: value remainder', lb = 0, ub = 49)
model.AddModuloEquality(value_remainder, value, 50)
model.Add(primary_revenue == value - value_remainder + 50).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_FISH])
model.Add(secondary_revenue == 50*compromising_documents).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_FISH])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_FISH])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_FISH.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, compromising_documents, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_FISH])
del non_negative_amalgamy, non_negative_menace, non_negative_antiquity, compromising_documents, value_remainder, derived_exhaustion
# The Trifling Diplomat - Insect
model.AddLinearExpressionInDomain(skeleton_in_progress, cp_model.Domain.FromFlatIntervals([210, 219])).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_INSECT])
non_negative_amalgamy = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: non-negative amalgamy')
model.AddMaxEquality(non_negative_amalgamy, [amalgamy, 0])
non_negative_menace = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: non-negative menace')
model.AddMaxEquality(non_negative_menace, [menace, 0])
non_negative_antiquity = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: non-negative antiquity')
model.AddMaxEquality(non_negative_antiquity, [antiquity, 0])
compromising_documents = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: compromising documents', lb = 0)
model.AddMultiplicationEquality(compromising_documents, (non_negative_amalgamy, non_negative_menace, non_negative_antiquity))
value_remainder = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: value remainder', lb = 0, ub = 49)
model.AddModuloEquality(value_remainder, value, 50)
model.Add(primary_revenue == value - value_remainder + 50).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_INSECT])
model.Add(secondary_revenue == 50*compromising_documents).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_INSECT])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_INSECT])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_INSECT.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, compromising_documents, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_INSECT])
del non_negative_amalgamy, non_negative_menace, non_negative_antiquity, compromising_documents, value_remainder, derived_exhaustion
# The Trifling Diplomat - Reptile
model.AddLinearExpressionInDomain(skeleton_in_progress, cp_model.Domain.FromFlatIntervals([160, 169])).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_REPTILE])
non_negative_amalgamy = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: non-negative amalgamy')
model.AddMaxEquality(non_negative_amalgamy, [amalgamy, 0])
non_negative_menace = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: non-negative menace')
model.AddMaxEquality(non_negative_menace, [menace, 0])
non_negative_antiquity = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: non-negative antiquity')
model.AddMaxEquality(non_negative_antiquity, [antiquity, 0])
compromising_documents = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: compromising documents', lb = 0)
model.AddMultiplicationEquality(compromising_documents, (non_negative_amalgamy, non_negative_menace, non_negative_antiquity))
value_remainder = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: value remainder', lb = 0, ub = 49)
model.AddModuloEquality(value_remainder, value, 50)
model.Add(primary_revenue == value - value_remainder + 50).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_REPTILE])
model.Add(secondary_revenue == 50*compromising_documents).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_REPTILE])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_REPTILE])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_REPTILE.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, compromising_documents, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_REPTILE])
del non_negative_amalgamy, non_negative_menace, non_negative_antiquity, compromising_documents, value_remainder, derived_exhaustion
# The Trifling Diplomat - Skulls
model.Add(skeleton_in_progress >= 100).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
model.Add(skulls >= 5).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
non_negative_amalgamy = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: non-negative amalgamy')
model.AddMaxEquality(non_negative_amalgamy, [amalgamy, 0])
non_negative_menace = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: non-negative menace')
model.AddMaxEquality(non_negative_menace, [menace, 0])
non_negative_antiquity = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: non-negative antiquity')
model.AddMaxEquality(non_negative_antiquity, [antiquity, 0])
compromising_documents = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: compromising documents', lb = 0)
model.AddMultiplicationEquality(compromising_documents, (non_negative_amalgamy, non_negative_menace, non_negative_antiquity))
value_remainder = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: value remainder', lb = 0, ub = 49)
model.AddModuloEquality(value_remainder, value, 50)
model.Add(primary_revenue == value - value_remainder + 50).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
model.Add(secondary_revenue == 50*compromising_documents).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
model.Add(difficulty_level == 0).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
# The indirection is necessary for applying an enforcement literal
derived_exhaustion = model.NewIntVar(f'{Buyer.THE_TRIFLING_DIPLOMAT_SKULLS.name}: derived exhaustion')
model.AddDivisionEquality(derived_exhaustion, compromising_documents, 100)
model.Add(added_exhaustion == derived_exhaustion).OnlyEnforceIf(actions[Buyer.THE_TRIFLING_DIPLOMAT_SKULLS])
del non_negative_amalgamy, non_negative_menace, non_negative_antiquity, compromising_documents, value_remainder, derived_exhaustion
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# Maximize profit margin
net_profit = model.NewIntVar('net profit')
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model.Add(net_profit == total_revenue - cost)
# This is necessary to preserve some degree of precision after dividing
multiplied_net_profit = model.NewIntVar('multiplied net profit', lb = cp_model.INT32_MIN*PROFIT_MARGIN_MULTIPLIER, ub = cp_model.INT32_MAX*PROFIT_MARGIN_MULTIPLIER)
model.AddMultiplicationEquality(multiplied_net_profit, (net_profit, PROFIT_MARGIN_MULTIPLIER))
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absolute_multiplied_net_profit = model.NewIntVar('absolute multiplied net profit', lb = 0, ub = cp_model.INT32_MAX*PROFIT_MARGIN_MULTIPLIER)
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model.AddAbsEquality(absolute_multiplied_net_profit, multiplied_net_profit)
absolute_profit_margin = model.NewIntVar('absolute profit margin', lb = cp_model.INT32_MIN*PROFIT_MARGIN_MULTIPLIER, ub = cp_model.INT32_MAX*PROFIT_MARGIN_MULTIPLIER)
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model.AddDivisionEquality(absolute_profit_margin, absolute_multiplied_net_profit, total_revenue)
profit_margin = model.NewIntVar('profit margin', lb = cp_model.INT32_MIN*PROFIT_MARGIN_MULTIPLIER, ub = cp_model.INT32_MAX*PROFIT_MARGIN_MULTIPLIER)
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positive_net_profit = model.BoolExpression(net_profit >= 0)
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model.Add(profit_margin == absolute_profit_margin).OnlyEnforceIf(positive_net_profit)
model.Add(profit_margin == absolute_profit_margin*-1).OnlyEnforceIf(positive_net_profit.Not())
del multiplied_net_profit, absolute_multiplied_net_profit, absolute_profit_margin, positive_net_profit
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model.Maximize(profit_margin)
class SkeletonPrinter(cp_model.CpSolverSolutionCallback):
"""A class that prints the steps that comprise a skeleton as well as relevant attributes."""
__slots__ = 'this', '__solution_count'
def __init__(self):
cp_model.CpSolverSolutionCallback.__init__(self)
self.__solution_count = 0
def PrintableSolution(self, solver = None):
"""Print the latest solution of a provided solver."""
output = ""
# Allows use as a callback
if solver is None:
solver = self
for action in actions.keys():
for _ in range(int(solver.Value(actions[action]))):
output += str(action) + "\n"
output += f"""
Profit: £{solver.Value(net_profit)/100:,.2f}
Profit Margin: {solver.Value(profit_margin)/PROFIT_MARGIN_MULTIPLIER:+,.2%}
Total Revenue: £{solver.Value(total_revenue)/100:,.2f}
Primary Revenue: £{solver.Value(primary_revenue)/100:,.2f}
Secondary Revenue: £{solver.Value(secondary_revenue)/100:,.2f}
Cost: £{solver.Value(cost)/100:,.2f}
Value: £{solver.Value(value)/100:,.2f}
Amalgamy: {solver.Value(amalgamy):n}
Antiquity: {solver.Value(antiquity):n}
Menace: {solver.Value(menace):n}
Counter-Church: {solver.Value(counter_church):n}
Implausibility: {solver.Value(implausibility):n}
Exhaustion: {solver.Value(exhaustion):n}"""
return output
def OnSolutionCallback(self):
self.__solution_count += 1
# Prints current solution to window
stdscr.clear()
stdscr.addstr(self.PrintableSolution())
stdscr.addstr(stdscr.getmaxyx()[0] - 1, 0, f"Skeleton #{self.__solution_count:n}")
stdscr.refresh()
def SolutionCount(self):
return self.__solution_count
printer = SkeletonPrinter()
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solver = cp_model.CpSolver()
solver.parameters.num_search_workers = workers
solver.parameters.max_time_in_seconds = time_limit
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# There's no window in verbose mode
if stdscr is None:
solver.parameters.log_search_progress = True
solver.Solve(model)
else:
solver.SolveWithSolutionCallback(model, printer)
status = solver.StatusName()
if status == 'INFEASIBLE':
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raise RuntimeError("There is no satisfactory skeleton.")
elif status == 'FEASIBLE':
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print("WARNING: skeleton may be suboptimal.")
elif status != 'OPTIMAL':
raise RuntimeError(f"Unknown status returned: {status}.")
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return printer.PrintableSolution(solver)