Consider some sequence of elements. (It differs from a mere set of elements by having an ordering among members.) A ''subsequence'' contains some subset of the elements of this sequence, in the same order. A ''continuous'' subsequence is one in which no elements are missing between the first and last elements of the subsequence. Note: Subsequences are defined ''structurally'', not by their contents. So a sequence ''a,b,c,d'' will always have the same subsequences and continuous subsequences, no matter which values are substituted; it may even be the same value. '''Task''': Find all non-continuous subsequences for a given sequence. Example: For the sequence   ''1,2,3,4'',   there are five non-continuous subsequences, namely: ::::*   ''1,3'' ::::*   ''1,4'' ::::*   ''2,4'' ::::*   ''1,3,4'' ::::*   ''1,2,4'' '''Goal''': There are different ways to calculate those subsequences. Demonstrate algorithm(s) that are natural for the language.