WxMCTF '24 Rev 4 - Recursive Combinatorics


After effortlessly beating Ansh in multiple math contests, Jerry went on a well-deserved three-week vacation. However, Ansh, salty about Jerry's triumph, decided to create an even harder challenge for Jerry — one that has Jerry's least favorite topics: recursion and combinatorics.

Not wanting to use up all of Jerry's vacation time, Ansh generously provided Jerry with the following instructions:

The Challenge

Contained within the file rev4.py, you'll find a Python function called go(). This function is your target.

Your mission is straightforward: Determine the output of the go function when it's given the input of 1 trillion. Lets say this value is a

Once you've successfully calculated the value a, your next step is to use it to access a unique URL for accessing the rentry page. To do this, follow these steps:

  • Calculate the SHA-512 hash of the result of a XOR b, where b is the first Mersenne prime with 157 digits.
  • After obtaining the complete SHA hash, take the last 8 characters of this hash.
  • Construct the rentry URL by appending these 8 characters to the base URL. For example, if the last 8 characters of the SHA hash are 28559d4f, the rentry URL will be formed as: https://rentry.co/28559d4f.
  • It's important to note that the specific rentry link provided (https://rentry.co/28559d4f) does not exist. Your calculated 8 characters will access a unique rentry page where the flag can be found.

Jerry really didn't want to do this question, as he was on vacation. Can you help him do it?

Files
  • rev4_5s33Foa.py
    • SHA256 checksum: 675b8545d291f72ae21cffbc78c05ae9f09af91f6cbadc70962ebc94867d6389
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