Split function while reading multiple lines
try-with-resources

If you're on Java 7, you should use try-with-resource on your Scanner:

try (Scanner scanner = new Scanner(System.in)) {
    // your code here
}


This takes care of closing your Scanner at the end, so you do not have do perform an explicit close().

First input

I am not too sure why are you ensuring inputSize cannot be less than 2, since the problem statement only mentioned &lt;= 10. I'll take that to mean an implicit assumption for non-negative values, so yeah even 0 is possibly a valid input. There is also an easier way of getting your first input than performing your validation twice, and while you're at that you should consider putting it in a method:

private static int getCount(Scanner scanner) {
    System.out.println("Enter the value of T Size [0, 10]:");
    int value = scanner.nextInt();
    while (value &lt; 0 || value &gt; 10) {
        System.out.println("Value is not within [0, 10], try again.");
        value = scanner.nextInt();
    }
    scanner.nextLine(); // gotcha
    return value;
}


The gotcha, as you probably have already figured, is that you need to 'consume' the rest of the line first before moving to other inputs. Therefore, I will also suggesting reading as nextLine() instead and then attempt to convert to an int via Integer.parseInt(). You can then catch the NumberFormatException thrown as an invalid input, and re-prompt until a valid integer is entered.

Validating your additional inputs

Note: I'm not sure if integers are implied for numbers, so I'll just go along with what you have shown... 

First, I think you are missing the validation on your integers-to-be:


  \$m\$ and \$n\$ (\$1 \le m \le n \le 1000000000\$, \$n-m \le 100000\$) 


Second, you should also consider converting and saving each of the integers you encounter in a single input line immediately, instead of storing into a String[] array and then performing the conversion afterwards. This avoids the additional looping which you identified in your question. :)

Come and think of it, putting all these together does sound like a good usage for Java 8 streams...

Java 8 solution ahead

So to conclude, the steps we need are:


Get number of lines (0 &lt;= x &lt;= 10)

stream.limit(getCount(scanner))


We only read in this number of lines, x = getCount(scanner).
Read in a line for x times

Stream.generate(scanner::nextLine)


This creates a new stream where each element is read from the scanner, i.e. System.in, i.e. the user input. This is accessed via a method reference.
On each line, split by a ' ' character

stream.flatMap(Pattern.compile(" ")::splitAsStream)


Pattern.splitAsStream(CharSequence) is a convenient way of tokenizing a line as a stream, which in turn allows us to perform a flatMap() by replacing each element of the source stream with the contents of the resulting stream.
Convert each token as an integer within a certain range

stream.map(Generation::convert)


The sample implementation shown below for convert(String) does not perform any validation. Actually, as a result of the flatMap() operation in the previous step, it will be quite tricky to make sure that \$1 \le m \le n \le 1000000000\$, so I'll leave this as an exercise to the reader... (hint: map each String input as a List to facilitate the validation first).
Collect all results into a Collection for further usage

stream.filter(Objects::nonNull).collect(Collectors.toList())


Since convert(String) may give us null values for invalid integers, we need to exclude them first. Collecting as toList() is just for illustration. If you want to sum the results together immediately, for example, you can change that to .mapToInt(Integer::intValue).sum().




public class Generation { // you probably need a better name too
    public static void main(String[] args) {
        try (Scanner scanner = new Scanner(System.in)) {
            List&lt;Integer&gt; result = Stream.generate(scanner::nextLine)
                    .limit(getCount(scanner))
                    .flatMap(Pattern.compile(" ")::splitAsStream)
                    .map(Generation::convert)
                    .filter(Objects::nonNull)
                    .collect(Collectors.toList());
            result.forEach(System.out::println);
        }
    }

    private static int getCount(Scanner scanner) {
        // see implementation above
    }

    private static Integer convert(String value) {
        try {
            return Integer.valueOf(value);
        } catch (NumberFormatException e) {
            return null;
        }
    }
}