LeetCode 1689: Partitioning Into Minimum Number Of Deci-Binary Numbers Solution

Master LeetCode problem 1689 (Partitioning Into Minimum Number Of Deci-Binary Numbers), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1689. Partitioning Into Minimum Number Of Deci-Binary Numbers

Problem Explanation

Explanation

To determine the minimum number of positive deci-binary numbers needed to sum up to a given positive decimal integer n, we need to find the maximum digit in the decimal representation of n. The reason is that each deci-binary number can only have digits 0 or 1, and the largest digit in n determines how many deci-binary numbers are needed to represent n.

Algorithm

  1. Iterate through the digits of n to find the maximum digit.
  2. The maximum digit found will be the minimum number of positive deci-binary numbers needed to sum up to n.

Time Complexity

The time complexity of this algorithm is O(n), where n is the length of the input string n.

Space Complexity

The space complexity is O(1) as we are using only a constant amount of extra space.

Solution Code

class Solution {
    public int minPartitions(String n) {
        int maxDigit = 0;
        for (int i = 0; i < n.length(); i++) {
            int digit = n.charAt(i) - '0';
            maxDigit = Math.max(maxDigit, digit);
        }
        return maxDigit;
    }
}

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