E. The Architect Omar
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Architect Omar is responsible for furnishing the new apartments after completion of its construction. Omar has a set of living room furniture, a set of kitchen furniture, and a set of bedroom furniture, from different manufacturers.

In order to furnish an apartment, Omar needs a living room furniture, a kitchen furniture, and two bedroom furniture, regardless the manufacturer company.

You are given a list of furniture Omar owns, your task is to find the maximum number of apartments that can be furnished by Omar.

Input

The first line contains an integer T (1 ≤ T ≤ 100), where T is the number of test cases.

The first line of each test case contains an integer n (1 ≤ n ≤ 1000), where n is the number of available furniture from all types. Then n lines follow, each line contains a string s representing the name of a furniture.

Each string s begins with the furniture's type, then followed by the manufacturer's name. The furniture's type can be:

  • bed, which means that the furniture's type is bedroom.
  • kitchen, which means that the furniture's type is kitchen.
  • living, which means that the furniture's type is living room.

All strings are non-empty consisting of lowercase and uppercase English letters, and digits. The length of each of these strings does not exceed 50 characters.

Output

For each test case, print a single integer that represents the maximum number of apartments that can be furnished by Omar

Example
Input
1
6
bedXs
kitchenSS1
kitchen2
bedXs
living12
livingh
Output
1