What are some dynamic programming techniques in C++?

What are some dynamic programming techniques in C++?

Dynamic programming techniques in C++ include memoization, tabulation, and the use of recursive algorithms.

Can you explain memoization with an example?

Sure! Memoization is an optimization technique where you store the results of expensive function calls and reuse them when the same inputs occur again. For example, in calculating Fibonacci numbers, you can store previously computed values to avoid redundant calculations.

What about tabulation? How does it differ from memoization?

Tabulation is a bottom-up approach where you solve smaller subproblems first and store their results in a table. Unlike memoization, which is top-down and uses recursion, tabulation iteratively fills the table.

Can you give me a code example of tabulation in C++?

Certainly! Here's a simple example of tabulation for Fibonacci numbers:

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