Hardwood Species

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Hardwoods are the botanical group of trees that have broad leaves, produce a fruit or nut, and generally go dormant in the winter.

America’s temperate climates produce forests with hundreds of hardwood species – trees that share certain biological characteristics. Although oak, maple and cherry all are types of hardwood trees, for example, they are different species. Together, all the hardwood species represent $40$ percent of the trees in the United States.

On the other hand, softwoods, or conifers, from the Latin word meaning “cone-bearing,” have needles. Widely available US softwoods include cedar, fir, hemlock, pine, redwood, spruce and cypress. In a home, the softwoods are used primarily as structural lumber such as $2 \times 4$s and $2 \times 6$s, with some limited decorative applications.

Using satellite imaging technology, the Department of Natural Resources has compiled an inventory of every tree standing on a particular day. You are to compute the total fraction of the tree population represented by each species.

Input

Input to your program consists of a list of the species of every tree observed by the satellite; one tree per line. Names use onlyl printable ASCII characters ($32$-$126$) and neither begin nor end with space. No name exceeds $20$ characters. There are no more than $10\, 000$ species and no more than $1\, 000\, 000$ trees.

Output

Print the name of each species represented in the population, in alphabetical order (by the ASCII ordering), followed by the percentage of the population it represents, accurate to an absolute error of at most $10^{-4}$.

Sample Input 1 Sample Output 1
Red Alder
Ash
Aspen
Basswood
Ash
Beech
Yellow Birch
Ash
Cherry
Cottonwood
Ash
Cypress
Red Elm
Gum
Hackberry
White Oak
Hickory
Pecan
Hard Maple
White Oak
Soft Maple
Red Oak
Red Oak
White Oak
Poplan
Sassafras
Sycamore
Black Walnut
Willow
Ash 13.793103
Aspen 3.448276
Basswood 3.448276
Beech 3.448276
Black Walnut 3.448276
Cherry 3.448276
Cottonwood 3.448276
Cypress 3.448276
Gum 3.448276
Hackberry 3.448276
Hard Maple 3.448276
Hickory 3.448276
Pecan 3.448276
Poplan 3.448276
Red Alder 3.448276
Red Elm 3.448276
Red Oak 6.896552
Sassafras 3.448276
Soft Maple 3.448276
Sycamore 3.448276
White Oak 10.344828
Willow 3.448276
Yellow Birch 3.448276