Algorithm title: POJ 2418 Hardwood species (binary search tree)

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 to hardwood species--trees that share certain biological char Acteristics. Although oak, maple and cherry All are types of hardwood trees, for example, they are different species. Together, the hardwood species represent 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 2x4s and 2x6s, with some limited decorative Cations.

Using satellite imaging technology, Department Natural Resources has compiled a inventory of every tree standing O n a particular day. You are 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 each line. No species name exceeds characters. There are no more than 10,000 species and no more than 1,000,000.

Output

Print the name of each species represented in the population, in alphabetical order, followed by the percentage of the pop Ulation it represents, to 4 decimal places.

Sample Input

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

Sample Output

Ash 13.7931

Aspen 3.4483

Basswood 3.4483

Beech 3.4483

Black Walnut 3.4483

Cherry 3.4483

Cottonwood 3.4483

Cypress 3.4483

Gum 3.4483

Hackberry 3.4483

Hard Maple 3.4483

Hickory 3.4483

Pecan 3.4483

Poplan 3.4483

Red Alder 3.4483

Red ELM 3.4483

Red Oak 6.8966

Sassafras 3.4483

Soft Maple 3.4483

Sycamore 3.4483

White Oak 10.3448

Willow 3.4483

Yellow Birch 3.4483