Куда капать?
package com.javarush.task.pro.task04.task0408;
import java.util.Scanner;
public class Solution {
public static void main(String[] args) {
Scanner console = new Scanner(System.in);
int maxEven = Integer.MIN_VALUE;
int minInput = Integer.MAX_VALUE;
boolean foundEven = false;
while (console.hasNextInt()) {
int num = console.nextInt();
if (num % 2 == 0 && num > maxEven) {
maxEven = num;
foundEven = true;
}
if (num < minInput) {
minInput = num;
}
}
if (foundEven) {
System.out.println(maxEven);
} else {
System.out.println(minInput != Integer.MAX_VALUE ? minInput : "");
}
}
}