Value Iteration

Value Iteration is an example which programming method
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Which of the following is true regarding Value Iteration?
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Which of the following is 'false' regarding optimal-value function?
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Adding constants to reward effects optimal policy in :
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Value Iteration always find the optimal policy, when run to convergence
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Optimal policy can be reached before all the Vk(s) (value function of state) reaches their optimal value.
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