Given an array of integers, find the length of the longest increasing subsequence. A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.
For example:
#include <iostream> #include <vector> int longestIncreasingSubsequence(const std::vector<int>& nums) { // Your dynamic programming solution goes here. // Return the length of the longest increasing subsequence. } int main() { std::vector<int> sequence = {10, 22, 9, 33, 21, 50, 41, 60, 80}; int result = longestIncreasingSubsequence(sequence); std::cout << "Length of the longest increasing subsequence: " << result << std::endl; return 0; } I’m specifically interested in implementing this using dynamic programming techniques. How can I approach this problem using dynamic programming, and what would be the C++ code for solving it? Any insights, code snippets, or explanations would be incredibly helpful in mastering dynamic programming for this particular challenge. Thank you for your assistance!