Finally it got solved. take a look.
public class Solution {
static int mod = 1000000007;
static int summingSeries(long n) {
return (int)(((n % mod) * (n % mod)) % mod);
}
private static final Scanner scanner = new Scanner(System.in);
public static void main(String[] args) throws IOException {
BufferedWriter bufferedWriter = new BufferedWriter(new FileWriter(System.getenv("OUTPUT_PATH")));
int t = Integer.parseInt(scanner.nextLine().trim());
for (int tItr = 0; tItr < t; tItr++) {
long n = Long.parseLong(scanner.nextLine().trim());
int result = summingSeries(n);
bufferedWriter.write(String.valueOf(result));
bufferedWriter.newLine();
}
bufferedWriter.close();
}
}
solved Java : Summing the N series fails due to timeout