Numbers#8508
Young Andrew is playing yet another numbers game. Initially, he writes down an integer . Then, he chooses some divisor d_1 of (1 < d_1 < a), erases and writes a_1 = a + d_1 instead. Then,he chooses some divisor d_2 of a_1 (1 < d_2 < a_1), erases a_1 and writes a_2 = a_1 + d_2 instead.
I.e., at any step he chooses some positive integer divisor of the current number, but not and not the whole number, and increases the current number by it.
Is it possible for him to write number if he started with number ?
The only line contains two integers and (2 \le a < b \le 10^{12}).
If there's no solution, output "Impossible" (without quotes) to the only line of output. If there's one, output the sequence of numbers written starting with and ending with , one per line. You're not asked to find the shortest possible sequence, however, you should find a sequence with no more than numbers. It is guaranteed that if there exists some sequence for the given and , then there exists a sequence with no more than numbers in it.
Пример 1
Пример 2