Bracket Inc. wants to ship out new products using their excess brackets. They have tasked you with generating every possible assortment of brackets for some n brackets where the brackets will match

  • A bracket match is an opening and closing version of the same kind of bracket beside each other ()
  • If a bracket matches then outer brackets can also match (())
  • n will be an even number
  • The valid brackets are ()[]{}

For example for n = 4 the options are

  • ()()
  • (())
  • [][]
  • [[]]
  • {}{}
  • {{}}
  • []()
  • ()[]
  • (){}
  • {}()
  • []{}
  • {}[]
  • ({})
  • {()}
  • ([])
  • [()]
  • {[]}
  • [{}]

You must accept n as a command line argument (entered when your app is ran) and print out all of the matches, one per line

(It will be called like node main.js 4 or however else to run apps in your language)

You can use the solution tester in this post to test you followed the correct format https://programming.dev/post/1805174

Any programming language may be used. 2 points will be given if you pass all the test cases with 1 bonus point going to whoevers performs the quickest and 1 for whoever can get the least amount of characters

To submit put the code and the language you used below

  • SleveMcDichael
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    1 year ago

    Rust:

    A super simple brute force attempt: https://pastebin.com/qbYQNQ7h

    Also super slow. Took me a bit more than a minute for n=10.

    edit: An updated version: https://pastebin.com/wVhxLmt9

    Added some simple constraints to reduce the number of unfiltered entries that need to be generated, bringing the n=10 time down to 10ish seconds. EDIT: if any of the test cases are n=12 or greater, probably best to fail this without testing. It’s super inefficient memory wise.