Leetcode Problem 1449. Form Largest Integer With Digits That Add up to Target

1449. Form Largest Integer With Digits That Add up to Target

Leetcode Solutions

Dynamic Programming with Memoization

  1. Define a recursive function dp(target) that returns the largest number as a string for a given target.
  2. If target is zero, return an empty string.
  3. If target is less than zero, return '0' to indicate failure.
  4. If the result for the current target is already computed, return it from the memoization table.
  5. Initialize an answer string as '0'.
  6. Iterate through digits from 9 to 1: a. Calculate the new target by subtracting the cost of the current digit. b. Recursively call dp(new_target). c. If the result is not '0', prepend the current digit to the result and update the answer if it's larger.
  7. Store the computed result in the memoization table before returning it.
  8. Use the memoization table to build the final answer by tracing back the decisions.
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Greedy Approach with Dynamic Programming

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