Problem:
Score : 200 points

Problem Statement

Takahashi has two positive integers A and B.

It is known that A plus B equals N.
Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).

Constraints

2 ≤ N ≤ 10^5

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".

Sample Input 1

15

Sample Output 1

6

When A=2 and B=13, the sums of their digits are 2 and 4, which minimizes the value in question.

Sample Input 2

100000

Sample Output 2

10

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Iterator;
import java.util.Collections;
import java.util.Comparator;
import java.util.Random;
import java.util.Map;
import java.util.HashMap;

class Main{
        public static void main(String args[]){
                Scanner sc = new Scanner(System.in);
                int N = sc.nextInt();
                int min=10000000;
                int a,b,sum,tens;

                for(int j=1; j<N/2; j++){
                        a = j;
                        b = N - a;
                        sum = 0;
                        while(a != 0){
                                sum += a % 10;
                                a /= 10;
                        }
                        while(b != 0){
                                sum += b % 10;
                                b /= 10;
                        }
                        if(min>sum){
                                min = sum;
                        }
                }
                System.out.println(min);
        }
}