Algorithmically is an adverb. The adverb is an invariable part of the sentence that can change, explain or simplify a verb or another adverb.
What does the word algorithmically mean?
n. 1. a set of rules for solving a problem in a finite number of steps, as for finding the greatest common divisor. 2. a sequence of steps designed for programming a computer to solve a specific problem.
Can any problem be solved algorithmically?
Well, an algorithm is a sequence of steps that solves a problem. With that definition (and in fact most definitions of algorithm) any computer program is also an algorithm. Every Euler problem can be solved with a computer program, so the answer is yes.