Find the shortest path through the following network using dynamic programming. 
Definitions:
Geographical Distribution
The physical or spatial location and dispersion of people, resources, or phenomena across Earth.
Incarceration Rates
Incarceration rates signify the number of individuals held in jails or prisons, expressed as a proportion of the total population, typically per 100,000 people.
Police Attitudes
Perspectives, beliefs, and approach towards law enforcement tasks and the community, as held by police officers or law enforcement agencies.
Motivational Theories
Psychological concepts explaining what drives individuals to initiate, direct, and sustain behaviors and actions towards achieving goals.
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