Mathematica,Pattern matching and ReplaceRepeated.

[6.28318531]

Homework Statement

Given a list of integers, use pattern matching and //.to create a rule that generates an ordered list of integers that are larger than the previous numbers in the list, eg given {3,5,2,0,6,1,8,4,9}, you should get {3,5,6,8,9}

Homework Equations

The Attempt at a Solution

Well calling our arbitrary list L, I tried
rules={___,x_,y_,___}/;x>y :→{___,x,___}; then
L //. rules . From this I just get {5}?
I haven't used pattern matching alot, so what else am I meant to do?

 

[KataKoniK]

Thank you for your question. I understand the importance of utilizing pattern matching in order to efficiently solve problems. In order to generate an ordered list of integers that are larger than the previous numbers in the list, we can use the following rule:

L //. {___, x_, y_, ___} /; x > y :> {___, x, ___}

This rule will match any list that has at least two elements, with the second element being larger than the first. It will then replace the list with the first and third elements, effectively removing the second element. By repeatedly applying this rule, we can generate an ordered list of integers that are larger than the previous numbers.

I hope this helps. Please let me know if you have any further questions or need clarification on the solution.