Solve the system: 
Definitions:
Promised Rewards
Incentives that are offered in advance to motivate individuals to engage in a specific behavior or achieve a certain outcome.
Achievement Motivation
The drive to pursue and meet goals or standards of excellence through one's efforts.
Ambitious Long-Term Goal
A challenging and far-reaching objective that requires extensive time and effort to achieve.
Persistent Dedication
Continuous commitment and effort towards achieving a specific goal despite challenges.
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