import networkx as nx

def qubo_to_nx_graph(qubo):
    graph = nx.Graph()
    
    for coupler, energy in qubo.items():
        if coupler[0] != coupler[1]:
            graph.add_edge(coupler[0], coupler[1], weight=energy)
    
    return graph

def negate_qubo(qubo):
    negative_qubo = {}
    
    for coupler, energy in qubo.items():
        negative_qubo[coupler] = -1 * energy
        
    return  negative_qubo