Which dynamic programming technique is used to solve the problem of finding the
Practice Questions
Q1
Which dynamic programming technique is used to solve the problem of finding the maximum sum of non-adjacent elements?
Memoization
Tabulation
Greedy
Backtracking
Questions & Step-by-Step Solutions
Which dynamic programming technique is used to solve the problem of finding the maximum sum of non-adjacent elements?
Step 1: Understand the problem - We need to find the maximum sum of numbers from a list, but we cannot pick two numbers that are next to each other.
Step 2: Define the dynamic programming approach - We will use a table (array) to keep track of the maximum sums we can achieve up to each index in the list.
Step 3: Initialize the table - Start by setting the first element of the table to the first element of the list, and the second element to the maximum of the first two elements.
Step 4: Fill the table - For each subsequent element in the list, decide whether to include it in the sum or not. If we include it, we add it to the maximum sum from two elements before. If we don't include it, we take the maximum sum from the previous element.
Step 5: Return the result - The last element of the table will contain the maximum sum of non-adjacent elements.
