Problem 730. How many trades represent all the profit?

Created by Doug Hull

Given a list of results from trades made:

[1 3 -4 2 -1 2 3]

We can add them up to see this series of trades made a profit of 6.

Since the two biggest trades sum to that, we can say that all the profit came from two trades.

What is the minimum number of trades that represent the total profit (possibly exceeding it). All trade lists will represent profitable series.

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