Optiver–styleTraderTraderQuestion #19
Find the largest 5-digit number such that the pairwise digit sums of its digits are all unique. Find the smallest 5-digit number with the same property. Explain why this property does not work for 7-digit numbers. Does it work for 6-digit numbers?
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State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.
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