Leetcode Problem 1363. Largest Multiple of Three
1363. Largest Multiple of Three
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Leetcode Solutions
Greedy Approach with Digit Counting and Sorting
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Complexity Analysis
Count the occurrences of each digit from 0 to 9.
Calculate the sum of all digits.
If the sum is already a multiple of three, sort the digits in descending order and return the result as a string.
If the sum modulo 3 is 1, try to remove one digit that is 1, 4, or 7 (whichever is available). If not possible, remove two digits that are 2, 5, or 8.
If the sum modulo 3 is 2, try to remove one digit that is 2, 5, or 8 (whichever is available). If not possible, remove two digits that are 1, 4, or 7.
After adjusting the digit counts, sort the remaining digits in descending order and concatenate them to form the largest number.
If the result starts with a zero, return '0' as the result to avoid leading zeros.
Return the result as a string.
Dynamic Programming Approach
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