Jackpots

The rules of the final round of King's Lottery in Byteland are simple:

• The player starts to draw balls from an opaque bag containing $a$ red balls, $b$ green balls and $c$ blue balls initially.

• After the player draws the ball, the ball is not returned into the bag.

• The player continues the process until he collects all $a$ red balls, or all $b$ green balls, or all $c$ blue balls.

• The player wins the Gold Jackpot if he collects $a$ red balls, Silver Jackpot if he collects $b$ green balls, or Bronze Jackpot otherwise.

Given $a,b$ and $c$, calculate the probabilities of winning each jackpot.

Input

Contains three integers $a,b$ and $c(1\le a,b,c\le 1000)$.

Output

Print three irreducible fractions $p_G,p_S$ and $p_B$ denoting the probability of winning the Gold Jackpot, the Silver Jackpot and the Bronze Jackpot, respectively. The fractions shall be printed in the form $p/q$.

Examples