Given an integer N, the task is to reduce the number and form a key by following the operations given below:
- Extract the Most Significant Digit of the number:
- If the digit is even: Add the consecutive digits until the sum of digits is odd.
- If the digit is odd: Add the consecutive digits until the sum of digits is even.
- Repeat the process for all the remaining digits.
- Finally, concatenate the sum computed together to get the key.
Input: N = 1667848270
Step 1: First Digit(= 1) is odd. So, add up the next digits until the sum is even.
Therefore, digits 1, 6, 6, and 7 are added up to form 20.
Step 2: Next digit(= 8) is even. So, add up the next digits until the sum is odd.
Therefore, digits 8, 4, 8, 2, and 7 are added up to form 29.
Step 3: Last digit(= 0) is even.
Therefore, the final answer after concatenating the results will be: 20290
Input: N = 7246262412
Step 1: First Digit(= 7) is odd. So, add up the next digits until the sum is even.
Therefore, digits 7, 2, 4, 6, 2, 6, 2, 4, and 1 are added up to form 34.
Step 2: Last digit(= 2) is even.
Therefore, the final answer after concatenating the results will be: 342.
Approach: The idea is to iterate the digits of the number and check the parity of the digit. If it is even, then proceed to the next digits until an odd digit is encountered. For odd digit, add consecutive digits until the sum of digits is even. Finally, concatenate the sum computed to get the desired key.
Below is the implementation of the above approach:
Time Complexity: O(N)
Auxiliary Space: O(1)
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