Project Euler #172: Investigating numbers with few repeated digits

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    Based on the code you provided, it seems that the issue you're facing is related to performance rather than a limitation of data types. As the value of k increases, the code becomes slower and may not produce any result for larger values of k.

    The main performance bottleneck in your code is the updateRepeatedCountNumOfDigit method. This method has a nested loop that iterates over a large range of numbers. As k increases, the range of numbers and the number of iterations also increase exponentially, causing the code to slow down significantly.

    To optimize your code and improve its performance, you can try the following suggestions:

    Analyze the problem: Understand the problem requirements and constraints thoroughly. Look for any patterns or mathematical formulas that can help you solve the problem more efficiently.

    Avoid unnecessary calculations: The getCountNumOfDigit method seems to be computing the count of numbers with a certain number of digits. Instead of recomputing this value for each number, you can precompute and store these values in an array or a dictionary for efficient lookup.

    Optimize the nested loops: The nested loop in the updateRepeatedCountNumOfDigit method is the main performance bottleneck. Try to find a way to optimize or eliminate this loop if possible. Consider using a mathematical approach or a more efficient algorithm to solve the problem.

    Use efficient data structures: Depending on the problem requirements, you may be able to use more efficient data structures such as sets, arrays, or bit manipulation techniques to solve the problem more efficiently.

    Test with smaller inputs: Before running your code with larger values of k, test it with smaller inputs to verify its correctness and ensure it produces the expected results. This will help you identify any issues or bugs in your code early on.

    Remember that performance optimization is a complex topic, and the specific optimizations required for your code may depend on the problem you're trying to solve. It's important to analyze the problem, understand the requirements, and apply appropriate techniques to improve the efficiency of your code.