Given a non-negative 32-bit integer, initially all bits of this number are '0'. There are three types of queries:
- 1k: Set the k-th bit (i.e., assign the k-th bit to '1').
- 2k: Reset the k-th bit (i.e., assign the k-th bit to '0').
- 3k: Flip the k-th bit (i.e., change '0' to '1' and vice versa).
Determine the integer after each query.
### Input
- The first line contains an integer q.
- The next q lines each contain a query in the specified format.
### Output
- After each query, print the resulting integer.
### Constraints
- 1≤q≤105.
- 0≤k≤31.
### Example
Input:
51011203133
Output:
13208