u Calculate e

Source : ACM ICPC Greater New York 2000
Time limit : 1 sec Memory limit : 32 M

Submitted : 4145, Accepted : 1667

Background

A simple mathematical formula for e is

"""

where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.


Output

Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.


Example

Output

n e
- -----------
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333