There are coins of two denominations $x$ and $y$ respectively. Find the largest sum $S$ that cannot be represented with these two denominations (assuming infinite supply of coins) and the total number $T$ of such not representable amounts. If such value does not exist, print "\textbf{NA}". \InputFile Two positive integer $x$ and $y~(1 < x, y \le 10^9)$. \OutputFile Print in one line two numbers: $S$ and $T$.