u Calculate e

Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 KB

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Description

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.


Input

 

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.

Sample Input

None

Sample Output

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

Hint

None

Source

Greater New York 2000

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