Find the maximal flow from node 1 to node 7 in the following network. 
Definitions:
Commitment
The degree to which one works to apply their talents and capabilities to important tasks.
Decision by Authority
A resolution or judgement made by an individual or body with established power or control.
Brainstorming
The engagement of group members in an open, spontaneous discussion of problems and ideas.
Freewheeling
Characterized by a carefree or unconstrained approach, often implying a lack of rules or structure.
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