Leetcode Problem 1307. Verbal Arithmetic Puzzle
1307. Verbal Arithmetic Puzzle
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Leetcode Solutions
Backtracking with Pruning
Solution Idea
Algorithm Steps
Code Implementation
Complexity Analysis
Initialize a mapping of characters to digits and a set to keep track of used digits.
Start the backtracking process from the least significant digit to the most significant digit.
At each step, try assigning an unused digit to the current character if it is not already mapped.
Calculate the sum of the current column of digits, including any carry from the previous column.
If the sum modulo 10 matches the corresponding digit in the
result
, continue to the next column.
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.
If a mapping leads to a conflict or a dead end, backtrack and try a different mapping.
Repeat the process until all characters are mapped and the equation is balanced, or until all possibilities are exhausted.
Brute Force with Character Permutations
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