Mastery Points
0
Dynamic Programming in dsa
Context & Logic
DP solves complex problems by breaking them into overlapping subproblems.
Example
function fib(n, memo = {}) {
if (n in memo) return memo[n];
if (n <= 2) return 1;
return memo[n] = fib(n - 1, memo) + fib(n - 2, memo);
}Step-by-Step Logic
1
Identify overlapping subproblems.
2
Use Memoization (Top-Down) or Tabulation (Bottom-Up).
Complexity Metrics
Time Efficiency
O(States * Transitions)
Memory Footprint
O(States)