For an empty set S, you need to process q queries:
- 1x: If the set does not contain x at this point, add the element x to the set. Otherwise, remove x from the set
- 2: Find the median in the set. If the elements are sorted in ascending order, and n is the number of elements in the set, if n is odd, the median is the element at index n+12; if n is even, the median is the average of the elements at indices n2 and n2+1. The set S at this point has at least one element. Index starts with 1.
### Input
- The first line contains an integer q.
- The next q lines, each containing a query in the specified format.
### Output
- Print a number as the answer for each query of type 2. If the answer is a real number, round it to one decimal place.
### Constraints
- 1≤q≤105.
- 1≤x≤109.
### Sample test
Input
815216215181102
Output:
55.58