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One of the simplest algorithms is to find the largest number in a
list of numbers of random order. Finding solution requires looking at
every number in the list. From this follows a simple algorithm, which
can be stated in a high-level description English prose, as:

High-level description:

1. If there are no numbers in the set then there is no highest number.
2. Assume the first number in the set is the largest number in the set.
3. For each remaining number in the set: if this number is larger than
   the current largest number, consider this number to be the largest
   number in the set.
4. When there are no numbers left in the set to iterate over, consider
   the current largest number to be the largest number of the set.