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Dynamic programming is to solve the optimization problem of multi-stage decision-making is a kind of thinking method. The so-called" dynamic", refers to the problem of multi stage decision, according to a certain sequence, according to each step of the selected decision is different, will then cause state transfer, culminating in the changes of the state to produce a sequence of decisions. Dynamic programming is to make the sequence of decisions in accordance with certain conditions the optimal. The thought of dynamic programming in various types of information science contest recently appeared frequently, its application is becoming more and more popular with people. This article is to discuss how to use the idea of dynamic programming to design an effective mathematical model to solve the problem