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Three Sportsmen
Three sportsmen, Tom, Jim and Sam, are standing in a row, and we can see their backs. Each of them wears a suit, which are red, yellow and blue in no particular order. Each suit has a different number, between 2 and 9, inclusive. Clues are:
1. In the order they stand, the three numbers form a perfect square.
2. Tom's number is smaller than the rightmost sportsman's number.
3. The yellow suit's number is odd.
4. The factorial of Sam's number, plus one, is divisible by the red suit's number.
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