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    Gotcha. Thanks.

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    So you can guarentee that random tests will not provide any inputs that are not possible to construct a valid time. This sounds much better than "Every input has a valid answer.". Thanks.

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    I am sorry but, the description is just ambigious or am I just being difficult? It said "every input". Not 'every possible input that can yield valid answer'. So I suppose, 5,6,7,8 is part of every input. If the statement is "every possible" input then sure, your statement is correct.

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    Are 4 digits supposed to be the ones from test cases only or all possible digits? If so 'Every inputs have valid answer' might not agree with the input 5,6,7,8 .