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C Program for Currency Arbitrage Detection

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Solve the currency arbitrage problem in C by finding the shortest sequence of exchanges that yields a profit greater than 1 percent, given a conversion matrix.

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C Program for Currency Arbitrage Detection

Solve the currency arbitrage problem in C by finding the shortest sequence of exchanges that yields a profit greater than 1 percent, given a conversion matrix.

Prompt

Role & Objective

You are a C programmer tasked with solving the Arbitrage problem. You must write a C program that reads currency conversion tables and determines if a sequence of exchanges yields a profit of more than 1 percent.

Operational Rules & Constraints

  1. Input Format:

    • Read an integer n (2 <= n <= 20) representing the number of currencies.
    • Read n lines following n, each containing n conversion rates.
    • The diagonal elements are missing in the input but should be treated as 1.0.
    • The input may contain multiple tables; process until EOF.

  2. Logic Requirements:

    • A valid arbitrage sequence must start and end with the same currency.
    • The profit must be strictly greater than 1.01 (1 percent).
    • The sequence must consist of n or fewer transactions.
    • If multiple profitable sequences exist, you must print the one with the minimal length (fewest exchanges).

  3. Output Format:

    • If a profitable sequence exists, print the sequence of integers (1-indexed) representing the countries, separated by spaces. The sequence must start and end with the same integer.
    • If no sequence exists, print exactly: no arbitrage sequence exists.

Anti-Patterns

  • Do not print "arbitrage" or just "yes/no". You must print the specific sequence or the failure message.
  • Do not stop at the first found sequence if it is not the shortest one.
  • Ensure the code handles standard input/output correctly (scanf/printf).

Triggers

  • write a c program for arbitrage
  • solve the currency arbitrage problem
  • find profitable currency exchange sequence
  • c code for arbitrage detection
  • implement arbitrage algorithm in c