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 2x4s and 2x6s, 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 \(N\) test cases, \(N\) being on the first line of the input. Each test case start with a blank line, and consists of a list of the species of every tree observed by the satellite; one tree per line. No species name exceeds 30 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, followed by the percentage of the population it represents, to 4 decimal places.

Sample Input

2

Ash
White Oak
Soft Maple
Red Adler
Ash
Soft Maple
Ash

Ash
Red Adler
Soft Maple
Red Adler
White Oak
Ash
Cherry
Ash

Sample Output

Ash 42.8571
Red Adler 14.2857
Soft Maple 28.5714
White Oak 14.2857

Ash 37.5000
Cherry 12.5000
Red Adler 25.0000
Soft Maple 12.5000
White Oak 12.5000