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Determining to terminate at a reward or not

I am trying to understand how you would determine whether it is better for the agent to terminate at the state with the number 3 or to continue to the state with a number 4 to collect the more reward? ...
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When does IDA* consider the goal has been found?

According to Artificial Intelligence: A Modern Approach 4th edition in IDA* the cutoff is the $f$-cost($g+h$); at each iteration, the cutoff value is the smallest $f$-cost of any node that exceeded ...
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