Find the shortest path through the following network using dynamic programming. 
Definitions:
Serial Monogamy
A pattern of engaging in successive monogamous romantic relationships, one after the other, without overlapping them.
Norms
Collective norms and guidelines that influence the actions of individuals within a group.
Sexual Relations
pertain to interactions or activities involving sexual intimacy between individuals, varying widely across different relationships and cultures.
Patriarchy
A social system in which men hold primary power and predominate in roles of political leadership, moral authority, social privilege, and control of property.
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