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문제

Intellectual TV-game "What? Where? When?" is very popular. Throughout the game, a team of experts attempts to answer questions sent in by viewers. If experts answer the question correctly, one point is awarded to the team of experts, otherwise a point is awarded to the team of viewers. The game ends when one of the teams scores $k$ points.

You are given a final score of $x:y$. So the game consisted of $x + y$ questions asked, and one of the teams scored exactly $k$ points. You are not given $k$, since you can calculate it easily. You are asked to find any valid game scenario that finished with score $x:y$, as the list of scores after each question asked.

The score you are given is correct, and at least one question was asked.

입력

The first line consists of two integers $x$ and $y$, the final score ($0 \le x, y \le 1000$; $x \ne y$).

출력

Print $x + y$ lines, $i$-th of them containing a score after $i$-th round. The numbers of points scored have to be separated by colon character (':'). You can print any game scenario that finishes with score $x:y$.

예제 입력 1

3 4

예제 출력 1

1:0
2:0
2:1
2:2
3:2
3:3
3:4

예제 입력 2

5 1

예제 출력 2

1:0
2:0
3:0
4:0
4:1
5:1