C++ Dynamic Programming Interview Questions

What are some common dynamic programming interview questions for C++?

Some common questions include:

1. How would you solve the Fibonacci sequence using dynamic programming?
2. Can you explain the 0/1 Knapsack problem and how to implement it in C++?
3. What is the Longest Common Subsequence problem?

Can you explain the Fibonacci sequence problem?

Sure! The Fibonacci sequence problem involves calculating the nth Fibonacci number. Using dynamic programming, you can store previously computed values to avoid redundant calculations. Here's a simple C++ implementation:

int fibonacci(int n) {
    if (n <= 1) return n;
    int fib[n + 1];
    fib[0] = 0;
    fib[1] = 1;
    for (int i = 2; i <= n; i++) {
        fib[i] = fib[i - 1] + fib[i - 2];
    }
    return fib[n];
}

What about the 0/1 Knapsack problem?

The 0/1 Knapsack problem is about maximizing the total value of items you can carry in a knapsack of a fixed capacity. You can use a dynamic programming approach to solve it by creating a table to store the maximum value that can be achieved with each item and weight capacity. Would you like to see a C++ implementation?