Dateien nach "ILP/Kaffee" hochladen
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@@ -1,7 +1,8 @@
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import numpy as np
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import gurobipy as gp
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import gurobipy as gp
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from gurobipy import GRB, Model, quicksum
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from gurobipy import GRB, Model, quicksum
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HYPEREDGES = {
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HYPERGRAPH = {
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1: ([], ['Xanthine']),
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1: ([], ['Xanthine']),
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2: (['Xanthine'], ['1-Methylxanthine']),
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2: (['Xanthine'], ['1-Methylxanthine']),
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3: (['Xanthine'], ['3-Methylxanthine']),
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3: (['Xanthine'], ['3-Methylxanthine']),
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@@ -18,38 +19,22 @@ HYPEREDGES = {
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14: (['Caffeine'], []),
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14: (['Caffeine'], []),
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}
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}
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VERTICES = ['Xanthine', '1-Methylxanthine', '3-Methylxanthine', '7-Methylxanthine', 'Theophylline', 'Paraxanthine', 'Theobromine', 'Caffeine']
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#Change to only have one likelihood, where with manual order association
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NMRLIKELYHOODS = [0.0, 0.49, 0.43, 0.6, 0.5, 0.51, 0.67, 0.0]
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#Results for comparison with 7-Methylxanthine bei shift von 2.5
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NMRLIKELYHOODS1 = [0.46, 0.49, 0.43, 0.6, 0.49, 0.6, 0.45, 0.51]
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#Results for comparison with 3,7-Methylxanthine bei shift von 2.5
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NMRLIKELYHOODS2 = [0.45, 0.52, 0.52, 0.63, 0.52, 0.57, 0.59, 0.59]
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#Results for comparison with 3,7-Methylxanthine with Methyl C of spectrum 2 bei shift von 2.5
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NMRLIKELYHOODS3 = [0.48, 0.5, 0.51, 0.59, 0.5, 0.51, 0.67, 0.61]
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FIXED_FLOWS = {
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FIXED_FLOWS = {
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1: 1,
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#1: 1,
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14: 1,
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#14: 1,
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}
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}
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def build_model(name, hyperedges, vertices, nmrlikelihoods, excluded_support=None):
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def build_model(name, hyperedges, vertices, ele, el1, el2, excluded_support=None):
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model = Model(name)
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model = Model(name)
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x = {e_id: model.addVar(vtype=GRB.INTEGER, lb = 0, name = f"x_{e_id}") for e_id in hyperedges}
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x = {e_id: model.addVar(vtype=GRB.INTEGER, lb = 0, name = f"x_{e_id}") for e_id in hyperedges}
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b = {e_id: model.addVar(vtype=GRB.BINARY, name = f"b_{e_id}") for e_id in hyperedges}
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b = {e_id: model.addVar(vtype=GRB.BINARY, name = f"b_{e_id}") for e_id in hyperedges}
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n = model.addVars(vertices, vtype=GRB.CONTINUOUS, lb = 0.0, ub = 1.0, name = "nmr")
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for v, nmr in zip(vertices, nmrlikelihoods):
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n[v] = nmr
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vertices = set(v for tails, heads in hyperedges.values() for v in tails + heads)
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vertices = set(v for tails, heads in hyperedges.values() for v in tails + heads)
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for v in vertices:
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for v in vertices:
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inflow = quicksum(x[e_id] for e_id, (_, heads) in hyperedges.items() if v in heads)
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inflow = quicksum(x[e_id] * heads.count(v) for e_id, (_, heads) in hyperedges.items())
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outflow = quicksum(x[e_id] for e_id, (tails, _) in hyperedges.items() if v in tails)
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outflow = quicksum(x[e_id] * tails.count(v) for e_id, (tails, _) in hyperedges.items())
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model.addConstr(inflow == outflow, name = f"flow_conservation_{v}")
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model.addConstr(inflow == outflow, name = f"flow_conservation_{v}")
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for e_id, value in FIXED_FLOWS.items():
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for e_id, value in FIXED_FLOWS.items():
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@@ -65,24 +50,10 @@ def build_model(name, hyperedges, vertices, nmrlikelihoods, excluded_support=Non
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if excluded_support:
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if excluded_support:
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model.addConstr(quicksum(b[e_id] for e_id in excluded_support) <= len(excluded_support) - 1, name = "different_hyperedges",)
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model.addConstr(quicksum(b[e_id] for e_id in excluded_support) <= len(excluded_support) - 1, name = "different_hyperedges",)
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#Multiplizier den node Wert mit infow + outflow
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#Excluding creation and destruction only three reactions for three nmr
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model.ModelSense = GRB.MAXIMIZE
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model.addConstr(quicksum(b[e_id] for e_id, (tails, heads) in hyperedges.items() if tails != [] and heads != []) == 3)
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model.setObjective(quicksum(1000 * ele[e_id] * b[e_id] - x[e_id] for e_id in hyperedges),GRB.MAXIMIZE)
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#Multiply node value with infow or outflow
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model.setObjectiveN(
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quicksum(n[t_id[0]] * x[e_id] for e_id, (_, t_id) in hyperedges.items() if t_id != []),
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index = 0,
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priority = 2,
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name = "maximize_nmr_similarity",
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)
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model.setObjectiveN(
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quicksum(-1 * x[e_id] for e_id in hyperedges),
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index=1,
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priority=1,
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name="minimize_used_hyperedges",
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)
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return model, x, b
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return model, x, b
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@@ -103,25 +74,75 @@ def print_solution(title, flow_solution, binary_solution, hyperedges):
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print(f"Number of used hyperedges: {len(binary_solution)}")
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print(f"Number of used hyperedges: {len(binary_solution)}")
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def main():
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def main():
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model, x, b = build_model("HypergraphFlow", HYPEREDGES, VERTICES, NMRLIKELYHOODS)
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VERTICES = ['Xanthine', '1-Methylxanthine', '3-Methylxanthine', '7-Methylxanthine', 'Theophylline', 'Paraxanthine', 'Theobromine', 'Caffeine']
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#Results for comparison with 7-Methylxanthine bei shift von 2.5
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NMR1 = [0.46, 0.49, 0.43, 0.6, 0.49, 0.6, 0.45, 0.51]
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#Results for comparison with 3,7-Methylxanthine bei shift von 2.5
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NMR2 = [0.45, 0.52, 0.52, 0.63, 0.52, 0.57, 0.59, 0.59]
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#Change to only have one likelihood, where with manual order association
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NMRE = [0.0, 0.49, 0.43, 0.6, 0.5, 0.51, 0.67, 0.0]
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#Chosable parameters
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modes = ["Product", "Average"]
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mode = modes[0]
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normalize = False
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#Kombiniert Molekül mit Wahrscheinlichkeit für NMR1:
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VERTICE1 = {}
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for vertice, likelihood in zip(VERTICES, NMR1):
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VERTICE1[vertice] = likelihood
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#Kombiniert Molekül mit Wahrscheinlichkeit für NMR2:
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VERTICE2 = {}
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for vertice, likelihood in zip(VERTICES, NMR2):
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VERTICE2[vertice] = likelihood
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#Kombiniert Molekül mit Wahrscheinlichkeit für NMR Empiric:
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VERTICEE = {}
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for vertice, likelihood in zip(VERTICES, NMRE):
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VERTICEE[vertice] = likelihood
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#Kantenwahrscheinlichkeiten für NMR1:
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EDGE1 = {}
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#Kantenwahrscheinlichkeiten für NMR2:
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EDGE2 = {}
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#Maximum der verschiedenen Kantenwahrscheinlichkeiten:
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EDGEE = {}
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for edge, (tails, heads) in HYPERGRAPH.items():
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if heads == [] or tails == []:
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EDGE1[edge] = 0.0
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EDGE2[edge] = 0.0
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EDGEE[edge] = 0.0
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elif mode == "Product":
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#print([VERTICE1[head] for head in heads])
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EDGE1[edge] = round(np.prod([VERTICE1[head] for head in heads]),2)
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EDGE2[edge] = round(np.prod([VERTICE2[head] for head in heads]),2)
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EDGEE[edge] = round(np.prod([VERTICEE[head] for head in heads]),2)
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elif mode == "Average":
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EDGE1[edge] = round(sum(VERTICE1[head] for head in heads)/len(heads),2)
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EDGE2[edge] = round(sum(VERTICE2[head] for head in heads)/len(heads),2)
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EDGEE[edge] = round(sum(VERTICEE[head] for head in heads)/len(heads),2)
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model, x, b = build_model("HypergraphFlow", HYPERGRAPH, VERTICES, EDGEE, EDGE1, EDGE2)
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model.optimize()
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model.optimize()
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if model.status != GRB.Status.OPTIMAL:
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if model.status != GRB.Status.OPTIMAL:
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print("No optimal solution found for the first model.")
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print("No optimal solution found for the first model.")
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return
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return
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optimal_solution = positive_entries(x)
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optimal_solution = positive_entries(x)
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optimal_binary_solution = positive_entries(b)
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optimal_binary_solution = positive_entries(b)
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print_solution("Optimal Solution", optimal_solution, optimal_binary_solution, HYPEREDGES)
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print_solution("Optimal Solution", optimal_solution, optimal_binary_solution, HYPERGRAPH)
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""" excluded_support = list(optimal_binary_solution.keys())
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""" excluded_support = list(optimal_binary_solution.keys())
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second_model, x2, b2 = build_model("SecondBestHypergraphFlow", HYPEREDGES, excluded_support=excluded_support,)
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second_model, x2, b2 = build_model("SecondBestHypergraphFlow", HYPERGRAPH, excluded_support=excluded_support,)
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second_model.optimize()
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second_model.optimize()
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if second_model.status == GRB.Status.OPTIMAL:
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if second_model.status == GRB.Status.OPTIMAL:
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second_solution = positive_entries(x2)
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second_solution = positive_entries(x2)
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second_binary_solution = positive_entries(b2)
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second_binary_solution = positive_entries(b2)
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print_solution("Second Best Solution", second_solution, second_binary_solution, HYPEREDGES, VERTICES)
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print_solution("Second Best Solution", second_solution, second_binary_solution, HYPERGRAPH, VERTICES)
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else:
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else:
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print("No optimal solution found for the second best model.")
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print("No optimal solution found for the second best model.")
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"""
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"""
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if __name__ == "__main__":
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if __name__ == "__main__":
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main()
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main()
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