This is one of the beefs I have with online judging systems like this..... it is not testing the algorithm, or anything like that. Instead, consider doing the very last line like:

// the longest value will be 11 chars long because % 1000000007 + "\n"
StringBuilder sb = new StringBuider(N * 11);
for (long l : A) {
    sb.append(l).append("\n");
}
System.out.println(sb.toString());

A single println is almost always N times faster than N printlns.

If that does not make it work in time, then consider reading the entire System.in in to a buffer, and parsing it from the buffer.

This is one of the beefs I have with online judging systems like this..... it is not testing the algorithm, or anything like that. Instead, consider doing the very last line like:

// the longest value will be 11 chars long because % 1000000007 + " "
StringBuilder sb = new StringBuilder(N * 11);
for (long l : A) {
    sb.append(l).append(" ");
}
System.out.print(sb.toString());

A single println is almost always N times faster than N printlns.

If that does not make it work in time, then consider reading the entire System.in in to a buffer, and parsing it from the buffer.