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Most Profitable One-Transaction Trade

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Your question is Most Profitable One-Transaction Trade. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

What's the time and space complexity to find the most profitable buy/sell date given stock price data if you have only one chance to buy and one chance to sell?