Migrated from Lutece 1815 Dward Gaming

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Description

One day, clearlove7 and meiko are playing a game Now there are two numbers $a$ and $b$. clearlove7 knows the value of $a\times b$, and meiko knows the value of $a+b$ (clearlove7 knows that meiko knows the value of $a+b$, and meiko knows that clearlove7 knows the value of $a\times b$, they all know $1<a<b$)
they have a boring talking:
clearlove7: I don't know the value of $a$ and $b$.
meiko :So do I, and I knew you don't know this just now.
clearlove7: Now I know the value of $a$ and $b$.
meiko :So do I.

Give you $x$ and $y$($2\leq x<y\leq 550$).Find all $(a, b)$ and $x\leq a<b\leq y$ that satisfy the dialogue scenario. Suppose clearlove7 and meiko are smart enough and do not lie.pls note that they know $1<a<b$ but don't know $x$ and $y$.

Input

One line contains two numbers $x, y$

Output

Output contains several lines.Each line contains two numbers $a$ and $b$ that satisfy the dialogue scenario.If two answers have the same $a$, you should output the one with smaller $b$ first, otherwise output the one with smaller $a$ first.

Samples

2 100

4 13
4 61
16 73
64 73