Leetcode Problem 1307. Verbal Arithmetic Puzzle

1307. Verbal Arithmetic Puzzle

Leetcode Solutions

Backtracking with Pruning

  1. Initialize a mapping of characters to digits and a set to keep track of used digits.
  2. Start the backtracking process from the least significant digit to the most significant digit.
  3. At each step, try assigning an unused digit to the current character if it is not already mapped.
  4. Calculate the sum of the current column of digits, including any carry from the previous column.
  5. If the sum modulo 10 matches the corresponding digit in the result, continue to the next column.
  6. If the end of all words and the result is reached, check if the total sum is zero (meaning the equation is balanced) and return true.
  7. If a mapping leads to a conflict or a dead end, backtrack and try a different mapping.
  8. Repeat the process until all characters are mapped and the equation is balanced, or until all possibilities are exhausted.
UML Thumbnail

Brute Force with Character Permutations

Ask Question

Programming Language
image/screenshot of info(optional)
Full Screen
Loading...

Suggested Answer

Answer
Full Screen
Copy Answer Code
Loading...