Control C301B P19564
We define the valencia of a natural number n as the absolute value of the substraction between the sum of the digits that are in odd positions and the sum of the digits that are in even positions (the positions are counted starting in one and from the right to the left). n is balanced if its valencia is 0.
For instance 15741 is a balanced number, because the sum of the digits that are in odd positions and the sum of the digits that are in even positions is 9, therefore it has valencia 0. However, 31 is not a balanced number, because its valencia is 2.
Your task is to write a program that, given a non empty sequence of natural numbers, prints the first balanced number of the sequence. If there is not any balanced number, print the greatest valencia of the numbers in the sequence.
Input
The input is a non empty sequence of natural numbers.
Output
Your program must print a line with the first balanced number of the sequence. If there is not any, print the greatest valencia of the sequence. Follow the format of the instances.
Observation
Your program must implement and use the function
that, given a natural number |n|, returns its valencia.
Input
20394 15741 42 111 25
Output
The first balanced number is 20394.
Input
1 2 98 89
Output
The greatest valencia is 2.
Input
11
Output
The first balanced number is 11.
Input
777 123456789 31 0
Output
The first balanced number is 0.
- Author
- Professorat de P1
- Language
- English
- Translator
- Carlos Molina
- Original language
- Catalan
- Other languages
- Catalan
- Official solutions
- C++
- User solutions
- C++